Danish Curriculum
School is required for children under the age of sixteen, no matter if a student attends a public or a private institution. Both primary and lower secondary education are often completed in the same school building. Public education is free, provided to students by vouchers from the government. Student progress is monitored throughout each school year and there are various required tests. At the end of final year, a leaving exam must be completed. Should a student so choose, he or she can then move on to upper secondary schooling, where they can choose a gymnasium program, which is aimed towards students who plan on attending college, or a vocational program, which trains students in a specific trade, balancing both education as well as field training. These last three years of education may not be mandatory, but they are often offered free of charge.
Learning Beyond the Classroom
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Mathematics
 Denmark Kindergarten Mathematics
 Denmark Year 1 Mathematics
 Denmark Year 2 Mathematics
 Denmark Year 3 Mathematics
 Denmark Year 4 Mathematics
 Denmark Year 5 Mathematics
 Denmark Year 6 Mathematics
 Denmark Year 7 Mathematics
 Denmark Year 8 Mathematics
 Denmark Year 9 Mathematics
 Denmark Year 10 Mathematics
 Denmark Year 11 Mathematics
 Denmark Year 12 Mathematics
Denmark Kindergarten Mathematics
#  TOPIC  TITLE  

1  Self Assessment  Self Assessment – Kindergarten  
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.  
2  Using and applying number  The numbers 1 to 5  
Objective: On completion of the lesson the student will be able to read, write and identify the words and numerals for the numbers 1 to 5  
3  Using and applying number  The numbers 6 to 9  
Objective: On completion of the lesson the student will be able to match cardinal words and numbers with groups of 69 objects.  
4  The number system  Ordinal numbers 1 to 9  
Objective: On completion of the lesson the student will be able to match ordinal words and numbers with groups of 19 objects.  
5  Using and applying number  Zero and counting numbers 1 to 9  
Objective: On completion of the lesson the student will be able to recognise, write and match the numeral and word for the number zero.  
6  Using and applying number  The number 10  
Objective: On completion of the lesson the student will be able to write the numeral and word for the number 10, count up to 10 objects and to match a group of objects to the correct number.  
7  Using and applying number  Numbers 11 to 20  
Objective: On completion of the lesson the student will be able to write the numeral and word for the numbers 11 to 20, count up to 20 and match a group of objects to the correct number.  
8  Using and applying number  Using place value to order numbers up to 20  
Objective: On completion of the lesson the student will be able to use place value to order numbers up to the value of 20.  
9  Reasoning  Simple addition up to the number 10  
Objective: On completion of the lesson the student will be able to write simple number sentences that show numbers adding up to another number.  
10  Calculations  Subtraction up to the number 10  
Objective: On completion of the lesson the student will be able to calculate the answer to take away or subtraction number sentences up to the number 10.  
11  Time, days of week  Days of the week  
Objective: On completion of the lesson the student will be able to: name the days of the week in order, recognise them in a written form, be able to answer questions about the days of the week, and have an understanding of a diary.  
12  Time, duration  Duration  
Objective: On completion of the lesson the student will be able to estimate and measure the duration of an event using informal units, and compare and order the duration of an event using informal units.  
13  Exam  Exam – Kindergarten  
Objective: Exam 
Denmark Year 1 Mathematics
#  TOPIC  TITLE  

1  Self Assessment  Self Assessment – Year 1  
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.  
2  The number system  Ordinal numbers 1 to 9  
Objective: On completion of the lesson the student will be able to match ordinal words and numbers with groups of 19 objects.  
3  Using and applying number  Zero and counting numbers 1 to 9  
Objective: On completion of the lesson the student will be able to recognise, write and match the numeral and word for the number zero.  
4  Using and applying number  The number 10  
Objective: On completion of the lesson the student will be able to write the numeral and word for the number 10, count up to 10 objects and to match a group of objects to the correct number.  
5  Using and applying number  Numbers 11 to 20  
Objective: On completion of the lesson the student will be able to write the numeral and word for the numbers 11 to 20, count up to 20 and match a group of objects to the correct number.  
6  Using and applying number  Using place value to order numbers up to 20  
Objective: On completion of the lesson the student will be able to use place value to order numbers up to the value of 20.  
7  Reasoning  Simple addition up to the number 10  
Objective: On completion of the lesson the student will be able to write simple number sentences that show numbers adding up to another number.  
8  Reasoning  Simple addition up to the number 20  
Objective: On completion of the lesson the student will be able to write simple number sentences and also write addition in a vertical format using numbers up to 20.  
9  Calculations  Subtraction by Comparison  
Objective: On completion of the lesson the student will be able to calculate take away or subtraction number sentences by comparison methods.  
10  Calculations  Subtraction up to the number 10  
Objective: On completion of the lesson the student will be able to calculate the answer to take away or subtraction number sentences up to the number 10.  
11  Calculations  Subtraction up to the number 20 and beyond  
Objective: On completion of the lesson the student will be capable of subtraction using tens and units and calculating the answer to take away or subtraction number sentences.  
12  Calculationgrouping  Multiplication using equal groups  
Objective: On completion of the lesson the student will be able to write about equal groups and rows and will understand how to count them.  
13  Calculationgrouping  Multiplication using repeated addition  
Objective: On completion of the lesson the student will be able to write about equal groups and rows using another method and also learn different ways to count them.  
14  Calculationmultiplication  The multiplication sign  
Objective: on completion of the lesson the student will be able to multiply single numbers to solve multiplication problems.  
15  Calculation sharing/division  Strategies for division  
Objective: On completion of the lesson the student will be able to share objects equally and will also learn how to write about them.  
16  Length  Compare length by using informal units of measurement  
Objective: On completion of the lesson the student will be able to measure objects around the student’s home and compare their length to each other. The student will also be able to compare the different ways the student measured the same object.  
17  Weight/mass  Introducing the concept of mass  
Objective: On completion of the lesson the student will understand the concepts of mass.  
18  Time, days of week  Days of the week  
Objective: On completion of the lesson the student will be able to: name the days of the week in order, recognise them in a written form, be able to answer questions about the days of the week, and have an understanding of a diary.  
19  Time, duration  Duration  
Objective: On completion of the lesson the student will be able to estimate and measure the duration of an event using informal units, and compare and order the duration of an event using informal units.  
20  Time, months  Months and seasons of the year  
Objective: On completion of the lesson the student will be able to: name and order the months of the year, know the number of days in each month, name the seasons in order, and know the number of months in each season.  
21  Time, quarter to, past  Quarter past and quarter to  
Objective: On completion of the lesson the student will be able to associate the numerals 3, 6 and 9 with 15, 30 and 45 minutes, and use the terms ‘quarter to’ and ‘quarter past’.  
22  Time, analogue  O’clock and half past on the analogue clock  
Objective: On completion of the lesson the student will be able to use the terms ‘o’clock’ and ‘half past’, and read hour and halfhour time on an analogue clock.  
23  Exam  Exam – Year 1  
Objective: Exam 
Denmark Year 2 Mathematics
#  TOPIC  TITLE  

1  Self Assessment  Self Assessment – Year 2  
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.  
2  Reasoning  Simple addition up to the number 20  
Objective: On completion of the lesson the student will be able to write simple number sentences and also write addition in a vertical format using numbers up to 20.  
3  Calculations  Subtraction by Comparison  
Objective: On completion of the lesson the student will be able to calculate take away or subtraction number sentences by comparison methods.  
4  Calculations  Subtraction up to the number 20 and beyond  
Objective: On completion of the lesson the student will be capable of subtraction using tens and units and calculating the answer to take away or subtraction number sentences.  
5  Calculationgrouping  Multiplication using equal groups  
Objective: On completion of the lesson the student will be able to write about equal groups and rows and will understand how to count them.  
6  Calculationgrouping  Multiplication using repeated addition  
Objective: On completion of the lesson the student will be able to write about equal groups and rows using another method and also learn different ways to count them.  
7  Calculationmultiplication  The multiplication sign  
Objective: on completion of the lesson the student will be able to multiply single numbers to solve multiplication problems.  
8  Calculation sharing/division  Strategies for division  
Objective: On completion of the lesson the student will be able to share objects equally and will also learn how to write about them.  
9  Calculationmultiples  Multiples of 10 up to 100  
Objective: On completion of the lesson the student will be able to read, write, rename and add multiples of ten.  
10  Calculations  The numbers 20 to 99  
Objective: On completion of the lesson the student will be able to identify, name and add groups of ten, counting to ninetynine.  
11  Calculation 10100  Counting by 1, 2, 5, and 10 to 100  
Objective: On completion of the lesson the student will be able to skip count to one hundred and show that one hundred equals ten times ten.  
12  Addition  Addition to 99  
Objective: On completion of the lesson the student will be able to use place value to add two 2digit numbers together up to a total of 99.  
13  Subtraction  Subtraction up to the number 99  
Objective: On completion of the lesson the student will know how to find the answer to take away number sentences with bigger numbers and will also know how to write these number sentences.  
14  Time, months  Months and seasons of the year  
Objective: On completion of the lesson the student will be able to: name and order the months of the year, know the number of days in each month, name the seasons in order, and know the number of months in each season.  
15  Time, quarter to, past  Quarter past and quarter to  
Objective: On completion of the lesson the student will be able to associate the numerals 3, 6 and 9 with 15, 30 and 45 minutes, and use the terms ‘quarter to’ and ‘quarter past’.  
16  Time, analogue  O’clock and half past on the analogue clock  
Objective: On completion of the lesson the student will be able to use the terms ‘o’clock’ and ‘half past’, and read hour and halfhour time on an analogue clock.  
17  Lines and angles  Describing position.  
Objective: On completion of the lesson the student will be able to use and understand conventional location language to describe position.  
18  Data  Pictograms  
Objective: On completion of the lesson the student will be able to organise, read and summarise information in picture graphs.  
19  Data  Bar Charts  
Objective: On completion of the lesson the student will be able to organise, read and summarise information in column graphs.  
20  Length  Compare length by using informal units of measurement  
Objective: On completion of the lesson the student will be able to measure objects around the student’s home and compare their length to each other. The student will also be able to compare the different ways the student measured the same object.  
21  Length  Using the metre as a formal unit to measure perimeter  
Objective: On completion of the lesson the student will be able to calculate the perimeter of different shapes in metres.  
22  Length  Using the formal unit of the centimetre to measure length and perimeter  
Objective: On completion of the lesson the student will be able to measure length and perimeter in centimetres.  
23  Volume  Introduction to volume. using the cubic centimetre as a standard unit  
Objective: On completion of the lesson the student will be able to: recognise the need for a formal unit to measure volume, use the abbreviation for cubic centimetre, construct three dimensional objects using cubic centimetre blocks, and use counting to determine vo  
24  Weight/mass  Introducing the concept of mass  
Objective: On completion of the lesson the student will understand the concepts of mass.  
25  Exam  Exam – Year 2  
Objective: Exam 
Denmark Year 3 Mathematics
#  TOPIC  TITLE  

1  Self Assessment  Self Assessment – Year 3  
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.  
2  Calculationmultiples  Multiples of 10 up to 100  
Objective: On completion of the lesson the student will be able to read, write, rename and add multiples of ten.  
3  Calculations  The numbers 20 to 99  
Objective: On completion of the lesson the student will be able to identify, name and add groups of ten, counting to ninetynine.  
4  Calculation 10100  Counting by 1, 2, 5, and 10 to 100  
Objective: On completion of the lesson the student will be able to skip count to one hundred and show that one hundred equals ten times ten.  
5  Addition  Addition to 99  
Objective: On completion of the lesson the student will be able to use place value to add two 2digit numbers together up to a total of 99.  
6  Calculationlarger numbers  The numbers 100 to 999  
Objective: On completion of the lesson the student will be able to count to 999, skip count by 10s and 100s to 999 and use pictures or objects to represent the numbers 100 to 999.  
7  Subtraction  Subtraction up to the number 99  
Objective: On completion of the lesson the student will know how to find the answer to take away number sentences with bigger numbers and will also know how to write these number sentences.  
8  Subtraction  Subtraction with borrowing  
Objective: On completion of the lesson the student will be able to record subtraction number sentences and will understand the need to trade between place value columns using the renaming method  
9  Subtraction  Subtraction of twodigit numbers Involving comparison.  
Objective: On completion of the lesson the student will know how to solve and record the answer to word problems and will understand how estimation helps to find out if an answer is correct.  
10  Problems  Solve and record division using known facts and sharing  
Objective: On completion of the lesson the student will be able to use sharing concepts to solve and record division problems.  
11  Length  Using the metre as a formal unit to measure perimeter  
Objective: On completion of the lesson the student will be able to calculate the perimeter of different shapes in metres.  
12  Length  Using the formal unit of the centimetre to measure length and perimeter  
Objective: On completion of the lesson the student will be able to measure length and perimeter in centimetres.  
13  Area  Introduction to the square centimetre.  
Objective: On completion of the lesson the student will be able to calculate the area in square centimetres of surfaces or objects and record their results correctly.  
14  Area  Comparing and ordering areas.  
Objective: On completion of the lesson the student will be able to estimate and compare the area of shapes using a standard unit and order shapes according to their area.  
15  Volume  Introduction to volume. using the cubic centimetre as a standard unit  
Objective: On completion of the lesson the student will be able to: recognise the need for a formal unit to measure volume, use the abbreviation for cubic centimetre, construct three dimensional objects using cubic centimetre blocks, and use counting to determine vo  
16  Weight/mass  Introducing the concept of mass  
Objective: On completion of the lesson the student will understand the concepts of mass.  
17  3D shapes  Constructing models.  
Objective: On completion of the lesson the student will be able to: Construct rectangular prisms using cubic centimetre blocks and counting to determine volume. Explain the advantages of using a cube to measure volume. Construct different rectangular prisms.  
18  Capacity  Using the cubic cm and displacement to measure volume and capacity  
Objective: On completion of the lesson the student will know a way to find volume and capacity.  
19  Weight/mass  The kilogram  
Objective: On completion of the lesson the student will know: how to use the kilogram as a measure of mass., and how to weigh items accurately using scales.  
20  2D shapes  Using the prefix to determine polygons  
Objective: On completion of the lesson the student will be able to recognise and name twodimensional shapes such as pentagons and hexagons, using the prefix of the shapes name to determine number of angles and sides.  
21  2D shapes  Spatial properties of quadrilaterals  
Objective: On completion of the lesson the student will know how to analyse and explain the spatial properties of quadrilaterals.  
22  Lines and angles  Describing position.  
Objective: On completion of the lesson the student will be able to use and understand conventional location language to describe position.  
23  Lines and angles  Mapping and grid references  
Objective: On completion of the lesson the student will be able to identify specific places on a map and use regions on a grid to locate objects or places.  
24  Data  Pictograms  
Objective: On completion of the lesson the student will be able to organise, read and summarise information in picture graphs.  
25  Data  Bar Charts  
Objective: On completion of the lesson the student will be able to organise, read and summarise information in column graphs.  
26  Time, minutes  Analogue – Telling time – minutes in the hour  
Objective: On completion of the lesson the student will be able to recognize the coordinated movements of the hands on an analogue clock.  
27  Time, units  Units of time  
Objective: On completion of the lesson the student will be able to convert units of time and read and interpret simple timetables, timelines and calendars.  
28  Time, minutes to the hour  Minutes to  
Objective: On completion of the lesson the student will be able to understand and read the minutes to the hour on an analogue clock.  
29  Time, minutes past the hour  Minutes past  
Objective: On completion of the lesson the student will be able to understand and read the minutes past the hour on an analogue clock.  
30  Time, digital, analogue  Comparing analogue and digital time  
Objective: On completion of the lesson the student will be able to: read analogue and digital clocks to the minute, be familiar with the recording of digital time, and tell the same time using both analogue and digital clocks.  
31  Time, digital  O’clock and half past using digital time  
Objective: On completion of the lesson the student will be able to use the terms ‘o’clock’ and ‘half past’, and read hour and halfhour time on a digital clock.  
32  Time, analogue  O’clock and half past on the analogue clock  
Objective: On completion of the lesson the student will be able to use the terms ‘o’clock’ and ‘half past’, and read hour and halfhour time on an analogue clock.  
33  Fractions  Using fractions 1/2, 1/4, 1/8 to describe part of a whole  
Objective: On completion of the lesson the student will be able to: name fractions, and use fractions to describe equal parts of a whole.  
34  Fractions  Using fractions 1/2, 1/4, 1/8 to describe parts of a group or collection  
Objective: On completion of the lesson the student will be able to use the fractions to describe equal parts of a collection of objects.  
35  Fractions  Comparing and ordering fractions  
Objective: On completion of the lesson the student will be able to compare and order fractions with the same number of equal parts, and compare and order fractions with a different number of equal parts.  
36  Exam  Exam – Year 3  
Objective: Exam 
Denmark Year 4 Mathematics
#  TOPIC  TITLE  

1  Self Assessment  Self Assessment – Year 4  
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.  
2  Calculationlarger numbers  The numbers 100 to 999  
Objective: On completion of the lesson the student will be able to count to 999, skip count by 10s and 100s to 999 and use pictures or objects to represent the numbers 100 to 999.  
3  Subtraction  Subtraction with borrowing  
Objective: On completion of the lesson the student will be able to record subtraction number sentences and will understand the need to trade between place value columns using the renaming method  
4  Subtraction  Subtraction of twodigit numbers Involving comparison.  
Objective: On completion of the lesson the student will know how to solve and record the answer to word problems and will understand how estimation helps to find out if an answer is correct.  
5  Multiplication  Multiplication – important facts.  
Objective: On completion of the lesson the student will know the connection between multiplication and division and recognise the strategies to help solve multiplication number sentences.  
6  Place value  The numbers 1000 to 9999  
Objective: On completion of the lesson the student will be able to count to 999, skip count by 10s and 100s to 999 and use pictures or objects to represent the numbers 100 to 999.  
7  Addition  Addition up to the number 999  
Objective: On completion of the lesson the student will be able to use place value to solve and record addition problems with three digit numbers.  
8  Subtraction  Subtraction up to the number 999 using the renaming method  
Objective: On completion of the lesson the student will know another way to trade between columns in subtraction using the renaming method. The student will also learn how to solve number sentences with missing numbers.  
9  Problems  Solve and record division using known facts and sharing  
Objective: On completion of the lesson the student will be able to use sharing concepts to solve and record division problems.  
10  Division  Division with and without a remainder.  
Objective: On completion of the lesson the student will understand division with and without a Remainder.  
11  Length  Using the metre as a formal unit to measure perimeter  
Objective: On completion of the lesson the student will be able to calculate the perimeter of different shapes in metres.  
12  Length  Using the formal unit of the centimetre to measure length and perimeter  
Objective: On completion of the lesson the student will be able to measure length and perimeter in centimetres.  
13  Length  Read and calculate distances on a map using the formal unit kilometre  
Objective: On completion of the lesson the student will be able to read distances in kilometres and calculate total distances between different locations on a map.  
14  Length  Compare and convert formal units of measurement  
Objective: On completion of the lesson the student will be able to use the formal units millimetre, centimetre, metre and kilometre to measure and convert.  
15  Area  Introduction to the square centimetre.  
Objective: On completion of the lesson the student will be able to calculate the area in square centimetres of surfaces or objects and record their results correctly.  
16  Area  Comparing and ordering areas.  
Objective: On completion of the lesson the student will be able to estimate and compare the area of shapes using a standard unit and order shapes according to their area.  
17  Weight/mass  The kilogram  
Objective: On completion of the lesson the student will know: how to use the kilogram as a measure of mass., and how to weigh items accurately using scales.  
18  Weight/mass  The gram and net mass  
Objective: On completion of the lesson the student will understand: why there’s a zero button on digital scales, how to zero some other types of scales, and also how to measure mass in grams.  
19  2D shapes  Using the prefix to determine polygons  
Objective: On completion of the lesson the student will be able to recognise and name twodimensional shapes such as pentagons and hexagons, using the prefix of the shapes name to determine number of angles and sides.  
20  2D shapes  Spatial properties of quadrilaterals  
Objective: On completion of the lesson the student will know how to analyse and explain the spatial properties of quadrilaterals.  
21  Angles  Measure and classify angles  
Objective: On completion of the lesson the student will be able to recognise, measure and classify angles and measure the angles in a triangle.  
22  2D shapes  Recognise and name triangles  
Objective: On completion of the lesson the student will be able to recognise and correctly name triangles according to their properties.  
23  3D shapes  Recognise and name pyramids according to spatial properties  
Objective: On completion of the lesson the student will be able to recognise, describe and name pyramids according to their spatial properties.  
24  Tessellating 2D shapes  Use grids to enlarge/reduce 2D shapes  
Objective: On completion of the lesson the student will be able to use grids to enlarge or reduce two dimensional shapes and also to recognise shapes that will and won’t tessellate.  
25  3D shapes  Recognise and name prisms according to spatial properties  
Objective: On completion of the lesson the student will be able to recognise and name various prisms according to their spatial properties.  
26  Capacity  The relationship between the common units of capacity, the litre and the millilitre  
Objective: On completion of the lesson the student will understand the relationship between the two common units of capacity, the litre and millilitre.  
27  Capacity  Using the cubic cm and displacement to measure volume and capacity  
Objective: On completion of the lesson the student will know a way to find volume and capacity.  
28  Capacity  Using the cubic cm as a standard unit of measurement for volume and capacity  
Objective: On completion of the lesson the student will understand what a cubic centimetre is and how it can be used to find out the volume and capacity of a three dimensional shape.  
29  Capacity  Converting between volume and capacity using kilolitres and litres  
Objective: On completion of the lesson the student will know the formal units of measurement for volume and capacity for bigger objects. The student will also be able to use the knowledge of volume to work out capacity.  
30  Capacity  Estimate, measure and compare the capacity of containers  
Objective: On completion of the lesson the student will know why and when we might need to estimate and a way to go about it.  
31  Capacity  Converting between volume and capacity using millilitres and litres  
Objective: On completion of the lesson the student will be able to convert between units of capacity.  
32  Lines and angles  Mapping and grid references  
Objective: On completion of the lesson the student will be able to identify specific places on a map and use regions on a grid to locate objects or places.  
33  Lines and angles  Main and intermediate compass points  
Objective: On completion of the lesson the student will be able to use main and intermediate compass points to specify location.  
34  Lines and angles  Informal coordinate system  
Objective: On completion of the lesson the student will be able to use an informal coordinate system to specify location, and locate coordinate points on grid paper.  
35  Time, minutes  Analogue – Telling time – minutes in the hour  
Objective: On completion of the lesson the student will be able to recognize the coordinated movements of the hands on an analogue clock.  
36  Time, digital, analogue  Comparing analogue and digital time  
Objective: On completion of the lesson the student will be able to: read analogue and digital clocks to the minute, be familiar with the recording of digital time, and tell the same time using both analogue and digital clocks.  
37  Time, units  Units of time  
Objective: On completion of the lesson the student will be able to convert units of time and read and interpret simple timetables, timelines and calendars.  
38  Time, minutes to the hour  Minutes to  
Objective: On completion of the lesson the student will be able to understand and read the minutes to the hour on an analogue clock.  
39  Time, minutes past the hour  Minutes past  
Objective: On completion of the lesson the student will be able to understand and read the minutes past the hour on an analogue clock.  
40  Time, a.m. p.m.  AM and PM time  
Objective: On completion of the lesson the student will be able to talk about am and pm time and use the correct notation for am and pm time.  
41  Decimals  Introduction to decimals  
Objective: On completion of the lesson the student will be able to represent decimals to two decimal places.  
42  Decimals  Comparing and ordering decimals to two decimal places  
Objective: On completion of the lesson the student will be able to compare and order decimals to two decimal places and understand decimal notation to two places.  
43  Decimals  Decimals with whole numbers 10th and 100th  
Objective: On completion of the lesson the student will be able to use and understand place value to show whole numbers, tenths and hundredths as decimals.  
44  Decimals  Adding decimals to two decimal places  
Objective: On completion of the lesson the student will be able to add decimals with the same number of decimal places (to two decimal places)  
45  Decimals  Subtracting decimals to two decimal places  
Objective: On completion of the lesson the student will be able to subtract decimals with the same number of decimal places (to two decimal places)  
46  Decimals  Using decimals – shopping problems  
Objective: On completion of the lesson the student will be able to: read and interpret problems involving money, interpret the everyday use of decimals, and perform calculations with money.  
47  Decimals  Using decimals to record length  
Objective: On completion of the lesson the student will be able to interpret the everyday use of fractions and decimals and use their knowledge of decimals to record measurements.  
48  Decimals  Rounding decimals  
Objective: On completion of the lesson the student will be able to round a number with one or two decimal places to the nearest whole number.  
49  Fractions  Using fractions 1/2, 1/4, 1/8 to describe part of a whole  
Objective: On completion of the lesson the student will be able to: name fractions, and use fractions to describe equal parts of a whole.  
50  Fractions  Using fractions 1/2, 1/4, 1/8 to describe parts of a group or collection  
Objective: On completion of the lesson the student will be able to use the fractions to describe equal parts of a collection of objects.  
51  Fractions  Comparing and ordering fractions  
Objective: On completion of the lesson the student will be able to compare and order fractions with the same number of equal parts, and compare and order fractions with a different number of equal parts.  
52  Fractions  Finding equivalent fractions  
Objective: On completion of the lesson the student will be able to name and find fractions that represent equal amounts between halves, quarters and eighths – using diagrams and number lines.  
53  Fractions  mixed numbers (mixed numerals)  
Objective: On completion of the lesson the student will be able to: name and recognise mixed numbers (mixed numerals), count by halves and quarters, and use a number line to represent halves and quarters beyond one.  
54  Fractions  Fractions 1/5, 1/10, 1/100  
Objective: On completion of the lesson the student will be able to: compare fractions with the denominators 5, 10, 100, and represent fractions with the denominator 5, 10, 100.  
55  Percentages  Introduction to percentages, including relating common fractions to percentages  
Objective: On completion of the lesson the student will be able to recognise that the symbol % means ‘per cent’ and relate common fractions to a percentage.  
56  Percentages  Changing fractions and decimals to percentages using tenths and hundredths  
Objective: On completion of the lesson the student will be able to change simple fractions to percentages and decimals to percentages by using place value conversion.  
57  Exam  Exam – Year 4  
Objective: Exam 
Denmark Year 5 Mathematics
#  TOPIC  TITLE  

1  Self Assessment  Self Assessment – Year 5  
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.  
2  Place value  The numbers 1000 to 9999  
Objective: On completion of the lesson the student will be able to count to 999, skip count by 10s and 100s to 999 and use pictures or objects to represent the numbers 100 to 999.  
3  Addition  Addition up to the number 999  
Objective: On completion of the lesson the student will be able to use place value to solve and record addition problems with three digit numbers.  
4  Subtraction  Subtraction up to the number 999 using the renaming method  
Objective: On completion of the lesson the student will know another way to trade between columns in subtraction using the renaming method. The student will also learn how to solve number sentences with missing numbers.  
5  Counting and numeration  The numbers 10 000 to 99 999  
Objective: On completion of the lesson the student will be able to count to 99 999 and use place value to read the value of the numerals within the larger numbers.  
6  Counting and numeration  Addition to 9999 and beyond  
Objective: On completion of the lesson the student will be able to use the student’s knowledge of place value to solve addition problems with 3, 4 and 5 digit numbers and word problems.  
7  Subtraction  Subtraction involving four digit numbers and beyond using the renaming method.  
Objective: On completion of the lesson the student will be able to use written methods to solve subtraction problems involving 4 and 5 digit whole numbers.  
8  Multiplication  Multiples and factors of whole numbers  
Objective: On completion of the lesson the student will be able to specify multiples and factors of whole numbers, and calculate the product of squared numbers.  
9  Multiplication  Multiplication using extended algorithms.  
Objective: On completion of the lesson the student will have understood multiplication using extended algorithms.  
10  Division  Division with and without a remainder.  
Objective: On completion of the lesson the student will understand division with and without a Remainder.  
11  Division  Dividing two and three digit numbers by a single digit number.  
Objective: On completion of the lesson the student will understand dividing two and three digit numbers by a single digit number.  
12  Multiplication  Multiplication by 2 and 3 digits  
Objective: On completion of the lesson the student will be able to solve and record 2 and 3 digit multiplication problems in extended and short form.  
13  Multiplication  Multiplying 2digit numbers by multiple of 10  
Objective: On completion of the lesson the student will be able to multiply any 2 digit number by any multiple of 10 using the process of long multiplication.  
14  Multiplication  Multiplying 3 and 4digit numbers by multiples of 100  
Objective: On completion of the lesson the student will be able to multiply any 3 or 4 digit numbers by any multiple of 100 using long multiplication.  
15  Time, a.m. p.m.  AM and PM time  
Objective: On completion of the lesson the student will be able to talk about am and pm time and use the correct notation for am and pm time.  
16  Time, 24hour  24 hour time  
Objective: On completion of the lesson the student will be able to: tell the time accurately using twentyfour hour time, change the time from am and pm time to twentyfour hour time, and change the time from twentyfour hour time to am and pm time.  
17  Time zones  Time zones  
Objective: On completion of the lesson the student will be able to: recognise that there are different time zones, compare time zones, understand daylight saving and adjust times accordingly, and determine the local time in different regions.  
18  Time, distance, speed  Average speed  
Objective: On completion of the lesson the student will be able to understand what is meant by the speed of an object, read the instantaneous speed of a vehicle on a speedometer and find the average speed of an object.  
19  Angles  Measure and classify angles  
Objective: On completion of the lesson the student will be able to recognise, measure and classify angles and measure the angles in a triangle.  
20  2D shapes  Recognise and name triangles  
Objective: On completion of the lesson the student will be able to recognise and correctly name triangles according to their properties.  
21  3D shapes  Recognise and name pyramids according to spatial properties  
Objective: On completion of the lesson the student will be able to recognise, describe and name pyramids according to their spatial properties.  
22  3D shapes  Recognise and name prisms according to spatial properties  
Objective: On completion of the lesson the student will be able to recognise and name various prisms according to their spatial properties.  
23  Lines and angles  Mapping and grid references  
Objective: On completion of the lesson the student will be able to identify specific places on a map and use regions on a grid to locate objects or places.  
24  3D shapes  Recognise nets for prisms, pyramids, cubes and cones  
Objective: On completion of the lesson the student will be able to predict and recognise nets for prisms, pyramids, cubes and cones.  
25  Tessellating 2D shapes  Use grids to enlarge/reduce 2D shapes  
Objective: On completion of the lesson the student will be able to use grids to enlarge or reduce two dimensional shapes and also to recognise shapes that will and won’t tessellate.  
26  3D shapes  Viewing 3D shapes.  
Objective: On completion of the lesson the student will be able to use conventional representations of threedimensional shapes to show depth etc when drawing or viewing shapes from various angles.  
27  Lines and angles  Main and intermediate compass points  
Objective: On completion of the lesson the student will be able to use main and intermediate compass points to specify location.  
28  Lines and angles  Informal coordinate system  
Objective: On completion of the lesson the student will be able to use an informal coordinate system to specify location, and locate coordinate points on grid paper.  
29  Data  Line graphs.  
Objective: On completion of the lesson the student will be able to organise, read and summarise information in line graphs.  
30  Data  Pie and bar graphs.  
Objective: On completion of the lesson the student will be able to organise, read and summarise information in pie and bar graphs.  
31  Length  Read and calculate distances on a map using the formal unit kilometre  
Objective: On completion of the lesson the student will be able to read distances in kilometres and calculate total distances between different locations on a map.  
32  Length  Compare and convert formal units of measurement  
Objective: On completion of the lesson the student will be able to use the formal units millimetre, centimetre, metre and kilometre to measure and convert.  
33  Area  Introduction to the square centimetre.  
Objective: On completion of the lesson the student will be able to calculate the area in square centimetres of surfaces or objects and record their results correctly.  
34  Area  Comparing and ordering areas.  
Objective: On completion of the lesson the student will be able to estimate and compare the area of shapes using a standard unit and order shapes according to their area.  
35  Area  Larger areas: square metre, hectare, square kilometre.  
Objective: On completion of the lesson the student will be able to calculate larger areas using the correct square unit.  
36  Volume  Using the cubic centimetre to measure volume.  
Objective: On completion of the lesson the student will be able to: recognise the relationship between the length, breadth, height and volume of a rectangular prism, calculate the volume of rectangular prisms, and find the volume of rectangular prisms by counting.  
37  Capacity  The relationship between the common units of capacity, the litre and the millilitre  
Objective: On completion of the lesson the student will understand the relationship between the two common units of capacity, the litre and millilitre.  
38  Capacity  Using the cubic cm and displacement to measure volume and capacity  
Objective: On completion of the lesson the student will know a way to find volume and capacity.  
39  Capacity  Using the cubic cm as a standard unit of measurement for volume and capacity  
Objective: On completion of the lesson the student will understand what a cubic centimetre is and how it can be used to find out the volume and capacity of a three dimensional shape.  
40  Capacity  Converting between volume and capacity using kilolitres and litres  
Objective: On completion of the lesson the student will know the formal units of measurement for volume and capacity for bigger objects. The student will also be able to use the knowledge of volume to work out capacity.  
41  Capacity  Estimate, measure and compare the capacity of containers  
Objective: On completion of the lesson the student will know why and when we might need to estimate and a way to go about it.  
42  Weight/mass  The kilogram  
Objective: On completion of the lesson the student will know: how to use the kilogram as a measure of mass., and how to weigh items accurately using scales.  
43  Weight/mass  The gram and net mass  
Objective: On completion of the lesson the student will understand: why there’s a zero button on digital scales, how to zero some other types of scales, and also how to measure mass in grams.  
44  Decimals  Introduction to decimals  
Objective: On completion of the lesson the student will be able to represent decimals to two decimal places.  
45  Decimals  Comparing and ordering decimals to two decimal places  
Objective: On completion of the lesson the student will be able to compare and order decimals to two decimal places and understand decimal notation to two places.  
46  Decimals  Decimals with whole numbers 10th and 100th  
Objective: On completion of the lesson the student will be able to use and understand place value to show whole numbers, tenths and hundredths as decimals.  
47  Decimals  Adding decimals to two decimal places  
Objective: On completion of the lesson the student will be able to add decimals with the same number of decimal places (to two decimal places)  
48  Decimals  Subtracting decimals to two decimal places  
Objective: On completion of the lesson the student will be able to subtract decimals with the same number of decimal places (to two decimal places)  
49  Decimals  Using decimals – shopping problems  
Objective: On completion of the lesson the student will be able to: read and interpret problems involving money, interpret the everyday use of decimals, and perform calculations with money.  
50  Decimals  Using decimals to record length  
Objective: On completion of the lesson the student will be able to interpret the everyday use of fractions and decimals and use their knowledge of decimals to record measurements.  
51  Decimals  Rounding decimals  
Objective: On completion of the lesson the student will be able to round a number with one or two decimal places to the nearest whole number.  
52  Decimals  Adding decimals with a different number of decimal places  
Objective: On completion of the lesson the student will be able to add decimal numbers with different numbers of decimal places.  
53  Decimals  Subtracting decimals with a different number of places  
Objective: On completion of the lesson the student will be able to subtract decimals with different numbers of decimal places.  
54  Decimals  Multiplying decimals by 10, 100 and 1000  
Objective: On completion of the lesson the student will be able to multiply decimal numbers by one hundred and recognise the pattern formed when decimals are multiplied by ten, one hundred and one thousand.  
55  Decimals  Multiplying decimals by whole numbers  
Objective: On completion of the lesson the student will be able to multiply decimals by whole numbers.  
56  Decimals  Dividing decimals by 10, 100 and 1000  
Objective: On completion of the lesson the student will be able to divide decimal numbers by one hundred and recognise the pattern formed when decimals are divided by ten, one hundred and one thousand.  
57  Decimals  Dividing decimal fractions by whole numbers  
Objective: On completion of the lesson the student will be able to divide decimal fractions by whole numbers.  
58  Fractions  Finding equivalent fractions  
Objective: On completion of the lesson the student will be able to name and find fractions that represent equal amounts between halves, quarters and eighths – using diagrams and number lines.  
59  Fractions  mixed numbers (mixed numerals)  
Objective: On completion of the lesson the student will be able to: name and recognise mixed numbers (mixed numerals), count by halves and quarters, and use a number line to represent halves and quarters beyond one.  
60  Fractions  Fractions 1/5, 1/10, 1/100  
Objective: On completion of the lesson the student will be able to: compare fractions with the denominators 5, 10, 100, and represent fractions with the denominator 5, 10, 100.  
61  Fractions  Subtracting fractions from whole numbers  
Objective: On completion of the lesson the student will be able to: use a diagram to subtract fractions from a whole number, develop mental strategies for subtracting fractions from whole numbers, and recognise and use the written form for subtracting fractions from  
62  Fractions  Adding and subtracting fractions with the same denominator  
Objective: On completion of the lesson the student will be able to add and subtract fractions with the same denominator.  
63  Percentages  Introduction to percentages, including relating common fractions to percentages  
Objective: On completion of the lesson the student will be able to recognise that the symbol % means ‘per cent’ and relate common fractions to a percentage.  
64  Percentages  Changing fractions and decimals to percentages using tenths and hundredths  
Objective: On completion of the lesson the student will be able to change simple fractions to percentages and decimals to percentages by using place value conversion.  
65  Sign word problems  Solving Word Problems by recognising Sign Words  
Objective: On completion of the lesson the student will be able to solve problems by recognising Sign Words that identify which operation to use: addition, subtraction, multiplication or division.  
66  Equations  Problem solving strategies  
Objective: On completion of the lesson the student will be able to recall the steps in a strategy for solving word problems.  
67  Number problems  Problems with numbers.  
Objective: On completion of the lesson the student will be able to solve problems with numbers using a problem solving strategy.  
68  Money  Problems involving money  
Objective: On completion of the lesson the student will be able to solve problems with money.  
69  Exam  Exam – Year 5  
Objective: Exam 
Denmark Year 6 Mathematics
#  TOPIC  TITLE  

1  Self Assessment  Self Assessment – Year 6  
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.  
2  Counting and numeration  The numbers 10 000 to 99 999  
Objective: On completion of the lesson the student will be able to count to 99 999 and use place value to read the value of the numerals within the larger numbers.  
3  Counting and numeration  Addition to 9999 and beyond  
Objective: On completion of the lesson the student will be able to use the student’s knowledge of place value to solve addition problems with 3, 4 and 5 digit numbers and word problems.  
4  Subtraction  Subtraction involving four digit numbers and beyond using the renaming method.  
Objective: On completion of the lesson the student will be able to use written methods to solve subtraction problems involving 4 and 5 digit whole numbers.  
5  Counting and numeration  Seven digit numbers  
Objective: On completion of the lesson the student will be able to use place value knowledge to read and write seven digit whole numbers.  
6  Multiplication  Multiples and factors of whole numbers  
Objective: On completion of the lesson the student will be able to specify multiples and factors of whole numbers, and calculate the product of squared numbers.  
7  Multiplication  Multiplication using extended algorithms.  
Objective: On completion of the lesson the student will have understood multiplication using extended algorithms.  
8  Division  Division with and without a remainder.  
Objective: On completion of the lesson the student will understand division with and without a Remainder.  
9  Division  Dividing two and three digit numbers by a single digit number.  
Objective: On completion of the lesson the student will understand dividing two and three digit numbers by a single digit number.  
10  Multiplication  Multiplication by 2 and 3 digits  
Objective: On completion of the lesson the student will be able to solve and record 2 and 3 digit multiplication problems in extended and short form.  
11  Division  Divide whole numbers by a 2 digit divisor  
Objective: On completion of the lesson the student will be able to solve and record division problems with whole numbers using a twodigit divisor and show any remainders as a fraction.  
12  Multiplication  Multiplying 2digit numbers by multiple of 10  
Objective: On completion of the lesson the student will be able to multiply any 2 digit number by any multiple of 10 using the process of long multiplication.  
13  Multiplication  Multiplying 3 and 4digit numbers by multiples of 100  
Objective: On completion of the lesson the student will be able to multiply any 3 or 4 digit numbers by any multiple of 100 using long multiplication.  
14  Multiplication  Multiplying 2digit numbers by 2digit numbers  
Objective: On completion of the lesson the student will be able to multiply any 2 digit number by any other 2 digit number.  
15  Multiplication  Multiplying 4digit numbers by 3digit numbers  
Objective: On completion of the lesson the student will be able to multiply any 4 digit numbers by any 3 digit numbers using long multiplication.  
16  Division/repeat subtraction  Repeated subtraction with divisors less than 20 with no remainders  
Objective: On completion of the lesson the student will be able to use long division by repeated subtraction with divisors less than 20.  
17  Division/repeat subtraction  Repeated subtraction by multiples of 10 with divisors less than 20 with no remainders  
Objective: On completion of the lesson the student will be able to use long division with repeated subtraction by multiples of 10 with divisors less than 20 and no remainders.  
18  Division/repeat subtraction  Repeated subtraction by multiples of 2, 3 and 4 with divisors greater than 20 with no remainders  
Objective: On completion of the lesson the student will be able to use long division with repeated subtraction by multiples of 2,3,4 where divisors are greater than 20 and there are no remainders.  
19  Division/repeat subtraction  Repeated subtraction by multiples of 1,2 and 3 with divisors less than 20 with remainders  
Objective: On completion of the lesson the student will be able to use long division with repeated subtraction by multiples of 1,2,3 where the divisors are less than 20 and there are remainders.  
20  Division/repeat subtraction  Repeated subtraction by multiples of 10 with divisors less than 20 with remainders  
Objective: On completion of the lesson the student will be able to use long division with repeated subtraction by multiples of 10 where the divisors are greater than 12 and less than 20, and the dividend is any 3 digit number, and there are remainders.  
21  Division/repeat subtraction  Repeated subtraction with divisors greater than 20 with remainders as fractions  
Objective: On completion of the lesson the student will be able to use long division by repeated subtraction with divisors greater than 20 and remainders expressed as fractions  
22  Division/repeat subtraction  Repeated subtraction with divisors less than 35 with some remainders  
Objective: On completion of the lesson the student will be able to use long division by repeated subtraction with divisors less than 35, with some remainders.  
23  Division/repeat subtraction  Repeated subtraction with divisors less than 55 with dividends of 3 and 4digits with some remainders  
Objective: On completion of the lesson the student will be able to use long division by repeated subtraction with divisors less than 55 and where dividends are 3 and 4 digit numbers, and there are some remainders.  
24  Division/repeat subtraction  Repeated subtraction with divisors greater than 50 with dividends of thousands and some remainders  
Objective: On completion of the lesson the student will able to use Long Division by repeated subtraction with divisors greater than 50 including division of thousands, and some remainders.  
25  Division/repeat subtraction  Using divide, multiply and subtraction in the bring down method  
Objective: On completion of the lesson the student will be able to use Long Division using the Divide, Multiply, Subtract and Bring Down method.  
26  3D shapes  Recognise and name pyramids according to spatial properties  
Objective: On completion of the lesson the student will be able to recognise, describe and name pyramids according to their spatial properties.  
27  3D shapes  Recognise and name prisms according to spatial properties  
Objective: On completion of the lesson the student will be able to recognise and name various prisms according to their spatial properties.  
28  Area  Introducing the rules for finding the area of a rectangle and a parallelogram.  
Objective: On completion of the lesson the student will be able to investigate areas of rectangles and parallelograms using a given formula of multiplying measurements of sides.  
29  Area  Larger areas: square metre, hectare, square kilometre.  
Objective: On completion of the lesson the student will be able to calculate larger areas using the correct square unit.  
30  Volume  Introducing the formula for volume.  
Objective: On completion of the lesson the student will be able to: derive the formula for the volume of prisms, and calculate the area of prisms using the volume formula.  
31  Volume  Using the cubic metre to measure volume.  
Objective: On completion of the lesson the student will be able to: recognise the need for a unit larger than the cubic centimetre, use the cubic metre as a formal unit for measuring large volumes, and explain why volume is measured in cubic metres in certain situat  
32  Volume  Solving Problems about Volume – Part 1.  
Objective: On completion of the lesson the student will be able to apply strategies to solve problems using rectangular prisms.  
33  Volume  Solving Problems about Volume – Part 2.  
Objective: On completion of the lesson the student will be able to apply strategies to solve problems using rectangular prisms and larger unit.  
34  Capacity  Converting between volume and capacity using millilitres and litres  
Objective: On completion of the lesson the student will be able to convert between units of capacity.  
35  Weight/mass  The tonne – converting units and problems  
Objective: On completion of the lesson the student should be able to: choose the correct unit to measure the mass of small, medium or large objects, and convert measurements from one unit to another.  
36  Geometryangles  Measuring angles  
Objective: On completion of the lesson the student will be able to measure any angle between 0 and 360 degrees using a protractor, and identify what type of angle it is.  
37  Data  Line graphs.  
Objective: On completion of the lesson the student will be able to organise, read and summarise information in line graphs.  
38  Data  Pie and bar graphs.  
Objective: On completion of the lesson the student will be able to organise, read and summarise information in pie and bar graphs.  
39  Time, 24hour  24 hour time  
Objective: On completion of the lesson the student will be able to: tell the time accurately using twentyfour hour time, change the time from am and pm time to twentyfour hour time, and change the time from twentyfour hour time to am and pm time.  
40  Time zones  Time zones  
Objective: On completion of the lesson the student will be able to: recognise that there are different time zones, compare time zones, understand daylight saving and adjust times accordingly, and determine the local time in different regions.  
41  Time, distance, speed  Average speed  
Objective: On completion of the lesson the student will be able to understand what is meant by the speed of an object, read the instantaneous speed of a vehicle on a speedometer and find the average speed of an object.  
42  3D shapes  Recognise nets for prisms, pyramids, cubes and cones  
Objective: On completion of the lesson the student will be able to predict and recognise nets for prisms, pyramids, cubes and cones.  
43  Tessellating 2D shapes  Use grids to enlarge/reduce 2D shapes  
Objective: On completion of the lesson the student will be able to use grids to enlarge or reduce two dimensional shapes and also to recognise shapes that will and won’t tessellate.  
44  3D shapes  Viewing 3D shapes.  
Objective: On completion of the lesson the student will be able to use conventional representations of threedimensional shapes to show depth etc when drawing or viewing shapes from various angles.  
45  Lines and angles  Main and intermediate compass points  
Objective: On completion of the lesson the student will be able to use main and intermediate compass points to specify location.  
46  Lines and angles  Informal coordinate system  
Objective: On completion of the lesson the student will be able to use an informal coordinate system to specify location, and locate coordinate points on grid paper.  
47  Decimals  Decimals to three decimal places  
Objective: On completion of the lesson the student will be able to express thousandths as a decimal and interpret decimal notation for thousandths.  
48  Decimals  Adding decimals with a different number of decimal places  
Objective: On completion of the lesson the student will be able to add decimal numbers with different numbers of decimal places.  
49  Decimals  Subtracting decimals with a different number of places  
Objective: On completion of the lesson the student will be able to subtract decimals with different numbers of decimal places.  
50  Decimals  Multiplying decimals by 10, 100 and 1000  
Objective: On completion of the lesson the student will be able to multiply decimal numbers by one hundred and recognise the pattern formed when decimals are multiplied by ten, one hundred and one thousand.  
51  Decimals  Multiplying decimals by whole numbers  
Objective: On completion of the lesson the student will be able to multiply decimals by whole numbers.  
52  Decimals  Dividing decimals by 10, 100 and 1000  
Objective: On completion of the lesson the student will be able to divide decimal numbers by one hundred and recognise the pattern formed when decimals are divided by ten, one hundred and one thousand.  
53  Decimals  Dividing decimal fractions by whole numbers  
Objective: On completion of the lesson the student will be able to divide decimal fractions by whole numbers.  
54  Decimals  Dividing numbers by a decimal fraction  
Objective: On completion of the lesson the student will be able to divide numbers by a decimal fraction.  
55  Percentages  Introduction to percentages, including relating common fractions to percentages  
Objective: On completion of the lesson the student will be able to recognise that the symbol % means ‘per cent’ and relate common fractions to a percentage.  
56  Percentages  Changing fractions and decimals to percentages using tenths and hundredths  
Objective: On completion of the lesson the student will be able to change simple fractions to percentages and decimals to percentages by using place value conversion.  
57  Percentages  Changing percentages to fractions and decimals  
Objective: On completion of the lesson the student will be able to change percentages to fractions and know how to change percentages to decimals.  
58  Fractions  Improper fractions  
Objective: On completion of the lesson the student will be able to: use diagrams and number lines to recognise and represent mixed numbers and improper fractions, and develop strategies for changing improper fractions to mixed numbers and vice versa, mentally.  
59  Fractions  Subtracting fractions from whole numbers  
Objective: On completion of the lesson the student will be able to: use a diagram to subtract fractions from a whole number, develop mental strategies for subtracting fractions from whole numbers, and recognise and use the written form for subtracting fractions from  
60  Fractions  Adding and subtracting fractions with the same denominator  
Objective: On completion of the lesson the student will be able to add and subtract fractions with the same denominator.  
61  Fractions  Multiplying and dividing to obtain equivalent fractions  
Objective: On completion of the lesson the student will be able to: obtain equivalent fractions using a number line or diagram, develop mental strategies to obtain equivalent fractions, and reduce a fraction to its lowest equivalent form.  
62  Fractions  Reducing fractions to lowest equivalent form  
Objective: On completion of the lesson the student will be able to reduce a fraction to its lowest equivalent form by dividing the numerator and denominator by a common factor.  
63  Fractions  Comparing and ordering fractions greater than (>) 1  
Objective: On completion of the lesson the student will be able to use diagrams, number lines and equivalent fractions to compare and order fractions greater than (>) one.  
64  Fractions  Multiplying fractions by whole numbers  
Objective: On completion of the lesson the student will be able to multiply simple fractions by whole numbers.  
65  Fractions  Fractions of whole numbers  
Objective: On completion of the lesson the student will be able to calculate unit fractions of a collection.  
66  Sign word problems  Solving Word Problems by recognising Sign Words  
Objective: On completion of the lesson the student will be able to solve problems by recognising Sign Words that identify which operation to use: addition, subtraction, multiplication or division.  
67  Equations  Problem solving strategies  
Objective: On completion of the lesson the student will be able to recall the steps in a strategy for solving word problems.  
68  Number problems  Problems with numbers.  
Objective: On completion of the lesson the student will be able to solve problems with numbers using a problem solving strategy.  
69  Money  Problems involving money  
Objective: On completion of the lesson the student will be able to solve problems with money.  
70  Length  Problems with length.  
Objective: On completion of the lesson the student will be able to solve problems with length.  
71  Mass  Problems with mass.  
Objective: On completion of the lesson the student will be able to solve problems with mass.  
72  Area  Problems with area.  
Objective: On completion of the lesson the student will be able to solve problems with area.  
73  Volume/capacity  Problems with volume/capacity.  
Objective: Problem Solving: problems involving volume/capacity  
74  Exam  Exam – Year 6  
Objective: Exam 
Denmark Year 7 Mathematics
#  TOPIC  TITLE  

1  Self Assessment  Self Assessment – Year 7  
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.  
2  Multiplication  Multiplying 2digit numbers by 2digit numbers  
Objective: On completion of the lesson the student will be able to multiply any 2 digit number by any other 2 digit number.  
3  Multiplication  Multiplying 4digit numbers by 3digit numbers  
Objective: On completion of the lesson the student will be able to multiply any 4 digit numbers by any 3 digit numbers using long multiplication.  
4  Division/repeat subtraction  Repeated subtraction with divisors less than 20 with no remainders  
Objective: On completion of the lesson the student will be able to use long division by repeated subtraction with divisors less than 20.  
5  Division/repeat subtraction  Repeated subtraction by multiples of 10 with divisors less than 20 with no remainders  
Objective: On completion of the lesson the student will be able to use long division with repeated subtraction by multiples of 10 with divisors less than 20 and no remainders.  
6  Division/repeat subtraction  Repeated subtraction by multiples of 2, 3 and 4 with divisors greater than 20 with no remainders  
Objective: On completion of the lesson the student will be able to use long division with repeated subtraction by multiples of 2,3,4 where divisors are greater than 20 and there are no remainders.  
7  Division/repeat subtraction  Repeated subtraction by multiples of 1,2 and 3 with divisors less than 20 with remainders  
Objective: On completion of the lesson the student will be able to use long division with repeated subtraction by multiples of 1,2,3 where the divisors are less than 20 and there are remainders.  
8  Division/repeat subtraction  Repeated subtraction by multiples of 10 with divisors less than 20 with remainders  
Objective: On completion of the lesson the student will be able to use long division with repeated subtraction by multiples of 10 where the divisors are greater than 12 and less than 20, and the dividend is any 3 digit number, and there are remainders.  
9  Division/repeat subtraction  Repeated subtraction with divisors greater than 20 with remainders as fractions  
Objective: On completion of the lesson the student will be able to use long division by repeated subtraction with divisors greater than 20 and remainders expressed as fractions  
10  Division/repeat subtraction  Repeated subtraction with divisors less than 35 with some remainders  
Objective: On completion of the lesson the student will be able to use long division by repeated subtraction with divisors less than 35, with some remainders.  
11  Division/repeat subtraction  Repeated subtraction with divisors less than 55 with dividends of 3 and 4digits with some remainders  
Objective: On completion of the lesson the student will be able to use long division by repeated subtraction with divisors less than 55 and where dividends are 3 and 4 digit numbers, and there are some remainders.  
12  Division/repeat subtraction  Repeated subtraction with divisors greater than 50 with dividends of thousands and some remainders  
Objective: On completion of the lesson the student will able to use Long Division by repeated subtraction with divisors greater than 50 including division of thousands, and some remainders.  
13  Division/repeat subtraction  Using divide, multiply and subtraction in the bring down method  
Objective: On completion of the lesson the student will be able to use Long Division using the Divide, Multiply, Subtract and Bring Down method.  
14  Decimals  Rounding decimals  
Objective: On completion of the lesson the student will be able to round a number with one or two decimal places to the nearest whole number.  
15  Decimals  Decimals to three decimal places  
Objective: On completion of the lesson the student will be able to express thousandths as a decimal and interpret decimal notation for thousandths.  
16  Decimals  Adding decimals with a different number of decimal places  
Objective: On completion of the lesson the student will be able to add decimal numbers with different numbers of decimal places.  
17  Decimals  Subtracting decimals with a different number of places  
Objective: On completion of the lesson the student will be able to subtract decimals with different numbers of decimal places.  
18  Decimals  Multiplying decimals by 10, 100 and 1000  
Objective: On completion of the lesson the student will be able to multiply decimal numbers by one hundred and recognise the pattern formed when decimals are multiplied by ten, one hundred and one thousand.  
19  Decimals  Multiplying decimals by whole numbers  
Objective: On completion of the lesson the student will be able to multiply decimals by whole numbers.  
20  Decimals  Dividing decimals by 10, 100 and 1000  
Objective: On completion of the lesson the student will be able to divide decimal numbers by one hundred and recognise the pattern formed when decimals are divided by ten, one hundred and one thousand.  
21  Decimals  Dividing decimal fractions by whole numbers  
Objective: On completion of the lesson the student will be able to divide decimal fractions by whole numbers.  
22  Decimals  Dividing numbers by a decimal fraction  
Objective: On completion of the lesson the student will be able to divide numbers by a decimal fraction.  
23  Percentages  Changing fractions and decimals to percentages using tenths and hundredths  
Objective: On completion of the lesson the student will be able to change simple fractions to percentages and decimals to percentages by using place value conversion.  
24  Percentages  Changing percentages to fractions and decimals  
Objective: On completion of the lesson the student will be able to change percentages to fractions and know how to change percentages to decimals.  
25  Percentages  One quantity as a percentage of another  
Objective: On completion of the lesson the student will be able to find a percentage of an amount and how to express one quantity as a percentage of another.  
26  Percentages  Calculating Percentages and Fractions of Quantities  
Objective: To find percentages and fractions of quantities and solve problems with percentages  
27  Fractions  Adding and subtracting fractions with the same denominator  
Objective: On completion of the lesson the student will be able to add and subtract fractions with the same denominator.  
28  Fractions  Improper fractions  
Objective: On completion of the lesson the student will be able to: use diagrams and number lines to recognise and represent mixed numbers and improper fractions, and develop strategies for changing improper fractions to mixed numbers and vice versa, mentally.  
29  Fractions  Comparing and ordering fractions greater than (>) 1  
Objective: On completion of the lesson the student will be able to use diagrams, number lines and equivalent fractions to compare and order fractions greater than (>) one.  
30  Fractions  Adding and subtracting fractions with different denominators  
Objective: On completion of the lesson the student will be able to add and subtract fractions where one denominator is a multiple of the other.  
31  Fractions  Multiplying fractions by whole numbers  
Objective: On completion of the lesson the student will be able to multiply simple fractions by whole numbers.  
32  Fractions  Fractions of whole numbers  
Objective: On completion of the lesson the student will be able to calculate unit fractions of a collection.  
33  Fractions  Multiplying and dividing to obtain equivalent fractions  
Objective: On completion of the lesson the student will be able to: obtain equivalent fractions using a number line or diagram, develop mental strategies to obtain equivalent fractions, and reduce a fraction to its lowest equivalent form.  
34  Fractions  Reducing fractions to lowest equivalent form  
Objective: On completion of the lesson the student will be able to reduce a fraction to its lowest equivalent form by dividing the numerator and denominator by a common factor.  
35  Fractions  Finding reciprocals of fractions and mixed numbers (mixed numerals)  
Objective: On completion of the lesson the student will be able to find the reciprocals of fractions and mixed numbers (mixed numerals).  
36  Fractions  Dividing fractions  
Objective: On completion of the lesson the student will be able to divide fractions.  
37  Fractions  Dividing mixed numbers (mixed numerals)  
Objective: On completion of the lesson the student will be able to divide mixed numbers (mixed numerals).  
38  Fractions  Multiplying fractions  
Objective: On completion of the lesson the student will be able to multiply fractions and reduce the answer to its lowest form.  
39  Fractions  Multiplying mixed numbers (mixed numerals)  
Objective: On completion of the lesson the student will be able to multiply mixed numbers (mixed numerals) and reduce the answer to its lowest form.  
40  Rules properties  Using Order of Operation procedures (BIDMAS) with Fractions  
Objective: On completion of the lesson the student will know how to apply the order of operations rules to simplify expressions with integers and fractions.  
41  Area  Introducing the rules for finding the area of a rectangle and a parallelogram.  
Objective: On completion of the lesson the student will be able to investigate areas of rectangles and parallelograms using a given formula of multiplying measurements of sides.  
42  Area  Finding the area of a triangle and other composite shapes.  
Objective: On completion of the lesson the student will be able calculate areas of triangles and shapes based on triangles, rectangles and parallelograms using given formulas.  
43  Area  Larger areas: square metre, hectare, square kilometre.  
Objective: On completion of the lesson the student will be able to calculate larger areas using the correct square unit.  
44  Volume  Introducing the formula for volume.  
Objective: On completion of the lesson the student will be able to: derive the formula for the volume of prisms, and calculate the area of prisms using the volume formula.  
45  Volume  Using the cubic metre to measure volume.  
Objective: On completion of the lesson the student will be able to: recognise the need for a unit larger than the cubic centimetre, use the cubic metre as a formal unit for measuring large volumes, and explain why volume is measured in cubic metres in certain situat  
46  Volume  Solving Problems about Volume – Part 1.  
Objective: On completion of the lesson the student will be able to apply strategies to solve problems using rectangular prisms.  
47  Volume  Solving Problems about Volume – Part 2.  
Objective: On completion of the lesson the student will be able to apply strategies to solve problems using rectangular prisms and larger unit.  
48  Capacity  Converting between volume and capacity using millilitres and litres  
Objective: On completion of the lesson the student will be able to convert between units of capacity.  
49  Weight/mass  The tonne – converting units and problems  
Objective: On completion of the lesson the student should be able to: choose the correct unit to measure the mass of small, medium or large objects, and convert measurements from one unit to another.  
50  Data  Bar Charts  
Objective: On completion of the lesson the student will be able to organise, read and summarise information in column graphs.  
51  Data  Line graphs.  
Objective: On completion of the lesson the student will be able to organise, read and summarise information in line graphs.  
52  Data  Pie and bar graphs.  
Objective: On completion of the lesson the student will be able to organise, read and summarise information in pie and bar graphs.  
53  Algebraic expressions  Algebraic expressions.  
Objective: On completion of the lesson the student will understand some of the short cuts used in writing algebraic expressions, and the student will be able to write algebraic expressions down in a way that is easier to understand.  
54  Algebraic expressions  Substitution into algebraic expressions.  
Objective: On completion of the lesson the student will be able to replace pronumerals with numbers, and then perform the correct operations.  
55  Algebraic expressions  Directed numbers: addition and subtraction.  
Objective: On completion of the lesson the student will be able to add and subtract positive and negative numbers in any combination, and understand adding and subtracting positive and negative pronumerals.  
56  Algebraic expressions  Directed numbers: multiplication and division.  
Objective: On completion of the lesson the student will understand which combinations of signs produce a positive answer and which ones produce a negative answer.  
57  Algebraic expressions  Simplifying algebraic expressions: adding like terms.  
Objective: On completion of the lesson the student will be able to simplify and evaluate numerical expressions containing patterns, and be able to simplify algebraic expressions that contain like terms.  
58  Algebraic expressions  Simplifying algebraic Expressions: subtracting like terms.  
Objective: On completion of the lesson the student will be able to recognise the difference between like and unlike terms, and be able to simplify an expression using subtraction.  
59  Algebraic expressions  Simplifying Algebraic expressions: combining addition and subtraction.  
Objective: On completion of the lesson the student will understand how to approach algebraic expressions questions and avoid the most common mistakes.  
60  Algebraic expressions  Simplifying algebraic expressions: multiplication  
Objective: On completion of the lesson the student will be able to simplify expressions involving multiplication of pronumerals and write them in the simplest form.  
61  Algebraic expressions  Simplifying algebraic expressions: division  
Objective: On completion of the lesson the student will be able to use all the operations needed for simplifying algebraic expressions.  
62  Algebraic expressions  Expanding algebraic expressions: multiplication  
Objective: On completion of the lesson the student will be able mentally to multiply and remove parentheses from simple algebraic expressions in one step.  
63  Algebraic expressions  Expanding algebraic expressions: negative multiplier  
Objective: On completion of the lesson the student will be able to expand expressions using a negative multiplier.  
64  Algebraic expressions  Expanding and simplifying algebraic expressions  
Objective: On completion of the lesson the student will be familiar with expanding and simplifying algebraic expressions.  
65  Algebraic equations  Solving equations containing addition and subtraction  
Objective: On completion of the lesson the student will understand how solve simple equations involving addition and subtraction by moving everything but the pronumeral onto one side of the equation, leaving the pronumeral by itself on the other side.  
66  Algebraic equations  Solving equations containing multiplication and division  
Objective: On completion of the lesson the student will be able to solve simple equations involving all operations.  
67  Algebraic equations  Solving two step equations  
Objective: On completion of the lesson the student will be able to solve two step equations.  
68  Geometryangles  Measuring angles  
Objective: On completion of the lesson the student will be able to measure any angle between 0 and 360 degrees using a protractor, and identify what type of angle it is.  
69  Geometryangles  Adjacent angles  
Objective: On completion of the lesson the student will be able to understand the parts of an angle, what adjacent angles are and how they are used to solve simple angle problems.  
70  Geometryangles  Complementary and supplementary angles  
Objective: On completion of the lesson the student will able to identify Complementary and Supplementary Angles and use this knowledge to solve simple geometric angle problems.  
71  Geometryangles  Vertically opposite angles  
Objective: On completion of the lesson the student will able to identify Vertically Opposite Angles and use this knowledge to solve simple geometric angle problems.  
72  Geometryangles  Angles at a Point.  
Objective: On completion of the lesson the student will able to identify Angles at a Point and use this knowledge and other angles concepts to solve simple geometric angle problems.  
73  Geometryangles  Parallel Lines.  
Objective: On completion of the lesson the student will able to identify corresponding, cointerior and alternate angles.  
74  Geometryproblems  Additional questions involving parallel lines  
Objective: On completion of the lesson the student will able to complete two step parallel line questions, and identify other ways to solve them.  
75  Geometrytriangles  Angle sum of a triangle  
Objective: On completion of the lesson the student will able to identify and use the angle sum of a triangle theorem to solve geometric problems.  
76  Special triangles  Special triangles  
Objective: On completion of the lesson the student will able to identify an equilateral and an isosceles triangle and solve geometry questions involving these triangles.  
77  Geometryquadrilaterals  Quadrilaterals  
Objective: On completion of the lesson the student will able to find missing angles by using the fact that a quadrilateral’s angle sum is 360 degrees.  
78  Geometryconstructions  Geometric constructions  
Objective: On completion of the lesson the student will able complete constructions with a ruler and a pair of compasses.  
79  Sign word problems  Solving Word Problems by recognising Sign Words  
Objective: On completion of the lesson the student will be able to solve problems by recognising Sign Words that identify which operation to use: addition, subtraction, multiplication or division.  
80  Equations  Problem solving strategies  
Objective: On completion of the lesson the student will be able to recall the steps in a strategy for solving word problems.  
81  Number problems  Problems with numbers.  
Objective: On completion of the lesson the student will be able to solve problems with numbers using a problem solving strategy.  
82  Money  Problems involving money  
Objective: On completion of the lesson the student will be able to solve problems with money.  
83  Length  Problems with length.  
Objective: On completion of the lesson the student will be able to solve problems with length.  
84  Mass  Problems with mass.  
Objective: On completion of the lesson the student will be able to solve problems with mass.  
85  Area  Problems with area.  
Objective: On completion of the lesson the student will be able to solve problems with area.  
86  Volume/capacity  Problems with volume/capacity.  
Objective: Problem Solving: problems involving volume/capacity  
87  Exam  Exam – Year 7  
Objective: Exam 
Denmark Year 8 Mathematics
#  TOPIC  TITLE  

1  Self Assessment  Self Assessment – Year 8  
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.  
2  Decimals  Dividing decimal fractions by whole numbers  
Objective: On completion of the lesson the student will be able to divide decimal fractions by whole numbers.  
3  Decimals  Dividing numbers by a decimal fraction  
Objective: On completion of the lesson the student will be able to divide numbers by a decimal fraction.  
4  Fractions  Multiplying fractions  
Objective: On completion of the lesson the student will be able to multiply fractions and reduce the answer to its lowest form.  
5  Fractions  Multiplying mixed numbers (mixed numerals)  
Objective: On completion of the lesson the student will be able to multiply mixed numbers (mixed numerals) and reduce the answer to its lowest form.  
6  Fractions  Finding reciprocals of fractions and mixed numbers (mixed numerals)  
Objective: On completion of the lesson the student will be able to find the reciprocals of fractions and mixed numbers (mixed numerals).  
7  Fractions  Dividing fractions  
Objective: On completion of the lesson the student will be able to divide fractions.  
8  Fractions  Dividing mixed numbers (mixed numerals)  
Objective: On completion of the lesson the student will be able to divide mixed numbers (mixed numerals).  
9  Rules properties  Using Order of Operation procedures (BIDMAS) with Fractions  
Objective: On completion of the lesson the student will know how to apply the order of operations rules to simplify expressions with integers and fractions.  
10  Percentages  Changing percentages to fractions and decimals  
Objective: On completion of the lesson the student will be able to change percentages to fractions and know how to change percentages to decimals.  
11  Percentages  One quantity as a percentage of another  
Objective: On completion of the lesson the student will be able to find a percentage of an amount and how to express one quantity as a percentage of another.  
12  Percentages  Calculating Percentages and Fractions of Quantities  
Objective: To find percentages and fractions of quantities and solve problems with percentages  
13  Algebraic expressions  Algebraic expressions.  
Objective: On completion of the lesson the student will understand some of the short cuts used in writing algebraic expressions, and the student will be able to write algebraic expressions down in a way that is easier to understand.  
14  Algebraic expressions  Substitution into algebraic expressions.  
Objective: On completion of the lesson the student will be able to replace pronumerals with numbers, and then perform the correct operations.  
15  Algebraic expressions  Directed numbers: addition and subtraction.  
Objective: On completion of the lesson the student will be able to add and subtract positive and negative numbers in any combination, and understand adding and subtracting positive and negative pronumerals.  
16  Algebraic expressions  Directed numbers: multiplication and division.  
Objective: On completion of the lesson the student will understand which combinations of signs produce a positive answer and which ones produce a negative answer.  
17  Algebraic expressions  Simplifying algebraic expressions: adding like terms.  
Objective: On completion of the lesson the student will be able to simplify and evaluate numerical expressions containing patterns, and be able to simplify algebraic expressions that contain like terms.  
18  Algebraic expressions  Simplifying algebraic Expressions: subtracting like terms.  
Objective: On completion of the lesson the student will be able to recognise the difference between like and unlike terms, and be able to simplify an expression using subtraction.  
19  Algebraic expressions  Simplifying Algebraic expressions: combining addition and subtraction.  
Objective: On completion of the lesson the student will understand how to approach algebraic expressions questions and avoid the most common mistakes.  
20  Algebraic expressions  Simplifying algebraic expressions: multiplication  
Objective: On completion of the lesson the student will be able to simplify expressions involving multiplication of pronumerals and write them in the simplest form.  
21  Algebraic expressions  Simplifying algebraic expressions: division  
Objective: On completion of the lesson the student will be able to use all the operations needed for simplifying algebraic expressions.  
22  Algebraic expressions  Expanding algebraic expressions: multiplication  
Objective: On completion of the lesson the student will be able mentally to multiply and remove parentheses from simple algebraic expressions in one step.  
23  Algebraic expressions  Expanding algebraic expressions: negative multiplier  
Objective: On completion of the lesson the student will be able to expand expressions using a negative multiplier.  
24  Algebraic expressions  Expanding and simplifying algebraic expressions  
Objective: On completion of the lesson the student will be familiar with expanding and simplifying algebraic expressions.  
25  Algebrahighest common factor  Highest common factor.  
Objective: On completion of the lesson the student will be capable of turning a simple algebraic expression into the product of a factor in parentheses and identifying the highest common factors of the whole expression.  
26  Algebraic equations  Solving equations containing addition and subtraction  
Objective: On completion of the lesson the student will understand how solve simple equations involving addition and subtraction by moving everything but the pronumeral onto one side of the equation, leaving the pronumeral by itself on the other side.  
27  Algebraic equations  Solving equations containing multiplication and division  
Objective: On completion of the lesson the student will be able to solve simple equations involving all operations.  
28  Algebraic equations  Solving two step equations  
Objective: On completion of the lesson the student will be able to solve two step equations.  
29  Algebraic equations  Solving equations containing binomial expressions  
Objective: On completion of the lesson the student will be able to move terms in binomial equations.  
30  Algebraic equations  Equations involving grouping symbols.  
Objective: On completion of the lesson the student will be able to solve equations using grouping symbols  
31  Area  Introducing the rules for finding the area of a rectangle and a parallelogram.  
Objective: On completion of the lesson the student will be able to investigate areas of rectangles and parallelograms using a given formula of multiplying measurements of sides.  
32  Area  Finding the area of a triangle and other composite shapes.  
Objective: On completion of the lesson the student will be able calculate areas of triangles and shapes based on triangles, rectangles and parallelograms using given formulas.  
33  Area  Area of a circle.  
Objective: On completion of the lesson the student will be able calculate the area of a circle, and also calculate the radius and diameter of a circle.  
34  Volume  Finding the volume of prisms  
Objective: On completion of the lesson the student will be able to: use formulae to find the volume of prisms, calculate the volume of a variety of prisms, and explain the relationship between units of length and units of volume.  
35  Geometryangles  Measuring angles  
Objective: On completion of the lesson the student will be able to measure any angle between 0 and 360 degrees using a protractor, and identify what type of angle it is.  
36  Geometryangles  Adjacent angles  
Objective: On completion of the lesson the student will be able to understand the parts of an angle, what adjacent angles are and how they are used to solve simple angle problems.  
37  Geometryangles  Complementary and supplementary angles  
Objective: On completion of the lesson the student will able to identify Complementary and Supplementary Angles and use this knowledge to solve simple geometric angle problems.  
38  Geometryangles  Vertically opposite angles  
Objective: On completion of the lesson the student will able to identify Vertically Opposite Angles and use this knowledge to solve simple geometric angle problems.  
39  Geometryangles  Angles at a Point.  
Objective: On completion of the lesson the student will able to identify Angles at a Point and use this knowledge and other angles concepts to solve simple geometric angle problems.  
40  Geometryangles  Parallel Lines.  
Objective: On completion of the lesson the student will able to identify corresponding, cointerior and alternate angles.  
41  Geometryproblems  Additional questions involving parallel lines  
Objective: On completion of the lesson the student will able to complete two step parallel line questions, and identify other ways to solve them.  
42  Geometrytriangles  Angle sum of a triangle  
Objective: On completion of the lesson the student will able to identify and use the angle sum of a triangle theorem to solve geometric problems.  
43  Geometrytriangles  Exterior angle theorem  
Objective: On completion of the lesson the student will able to identify and use the exterior angle of a triangle theorem to solve geometric questions.  
44  Special triangles  Special triangles  
Objective: On completion of the lesson the student will able to identify an equilateral and an isosceles triangle and solve geometry questions involving these triangles.  
45  Geometryquadrilaterals  Quadrilaterals  
Objective: On completion of the lesson the student will able to find missing angles by using the fact that a quadrilateral’s angle sum is 360 degrees.  
46  Geometryconstructions  Geometric constructions  
Objective: On completion of the lesson the student will able complete constructions with a ruler and a pair of compasses.  
47  Geometry problems  More difficult exercises involving parallel lines  
Objective: On completion of the lesson the student will able to identify corresponding, cointerior and alternate angles in questions that are more difficult than previously completed. Students will also learn to use other geometric properties as well as set out log  
48  Geometryreasoning  Further difficult exercises involving formal reasoning  
Objective: On completion of the lesson the student will be able to identify which geometric properties are needed to complete a question and be able to use formal reasoning to write out this information.  
49  Similar triangles  Similar triangles  
Objective: On completion of the lesson the student will be able to identify which test to use to show two triangles are similar.  
50  Pythagoras  Find the hypotenuse  
Objective: On completion of this lesson the student will be able to use Pythagoras’ Theorem to calculate the length of the hypotenuse.  
51  Pythagoras  Pythagorean triples  
Objective: On completion of the lesson the student will be able to use the 345 Pythagorean triple.  
52  Pythagoras  Find the hypotenuse Part 2  
Objective: On completion of this lesson the student will be able to use Pythagoras’ Theorem to calculate the length of the hypotenuse using decimals and surds.  
53  Pythagoras  Calculating a leg of a rightangled triangle  
Objective: On completion of this lesson the student will be able to use Pythagoras’ Theorem to calculate the length of one of the shorter sides of a right triangle.  
54  Statistics  Frequency distribution table  
Objective: On completion of the lesson the student will be able to construct a frequency distribution table for raw data and interpret the table.  
55  Statistics  Frequency histograms and polygons  
Objective: On completion of the lesson the student will be able to construct and interpret frequency histograms and polygons.  
56  Statistics  Relative frequency  
Objective: On completion of the lesson the student will be able to collect, display and make judgements about data.  
57  Statistics  The range.  
Objective: On completion of the lesson the student will be able to determine the range of data in either raw form or in a frequency distribution table.  
58  Statisticprobability  The mode  
Objective: On completion of the lesson the student will understand how to find the mode from raw data, a frequency distribution table and polygon.  
59  Statisticprobability  The mean  
Objective: On completion of the lesson the student will be able to calculate means from raw data and from a frequency table using an fx column.  
60  Statisticprobability  The median  
Objective: On completion of the lesson the student will be able to determine the median of a set of raw scores  
61  Statisticprobability  Probability of Simple Events  
Objective: On completion of the lesson the student will be able to understand the probability of simple events.  
62  Exam  Exam – Year 8  
Objective: Exam 
Denmark Year 9 Mathematics
#  TOPIC  TITLE  

1  Self Assessment  Self Assessment – Year 9  
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.  
2  Algebraic expressions  Expanding and simplifying algebraic expressions  
Objective: On completion of the lesson the student will be familiar with expanding and simplifying algebraic expressions.  
3  Algebrahighest common factor  Highest common factor.  
Objective: On completion of the lesson the student will be capable of turning a simple algebraic expression into the product of a factor in parentheses and identifying the highest common factors of the whole expression.  
4  Algebraic equations  Solving two step equations  
Objective: On completion of the lesson the student will be able to solve two step equations.  
5  Algebraic equations  Solving equations containing binomial expressions  
Objective: On completion of the lesson the student will be able to move terms in binomial equations.  
6  Algebraic equations  Equations involving grouping symbols.  
Objective: On completion of the lesson the student will be able to solve equations using grouping symbols  
7  Algebrafactorising  Simplifying easy algebraic fractions.  
Objective: On completion of the lesson the student will understand how to simplify algebraic fractions by factorising.  
8  Rules for indices/exponents  Adding indices when multiplying terms with the same base  
Objective: On completion of the lesson the student will know how to use the index law of addition of powers when multiplying terms with the same base.  
9  Rules for indices/exponents  Subtracting indices when dividing terms with the same base  
Objective: On completion of the lesson the student will know how to use the index law of subtraction of powers when dividing terms with the same base.  
10  Rules for indices/exponents  Multiplying indices when raising a power to a power  
Objective: On completion of the lesson the student will use the law of multiplication of indices when raising a power to a power.  
11  Rules for indices/exponents  Multiplying indices when raising to more than one term  
Objective: On completion of the lesson the student will be able to use the law of multiplication of indices when raising more than one term to the same power.  
12  Rules for indices/exponents  Terms raised to the power of zero  
Objective: On completion of the lesson the student will learn how to evaluate or simplify terms that are raised to the power of zero.  
13  Rules for indices/exponents  Negative Indices  
Objective: On completion of the lesson the student will know how to evaluate or simplify expressions containing negative indices.  
14  Algebraic fractions  Simplifying algebraic fractions using the index laws.  
Objective: On completion of the lesson the student will be able to simplify most algebraic fractions using different methodologies.  
15  Scientific notation  Scientific notation with larger numbers  
Objective: On completion of the lesson the student will be able to change numbers greater than 1 to scientific notation.  
16  Scientific notation  Scientific notation with small numbers  
Objective: On completion of the lesson the student will be able to change numbers between zero and 1 to scientific notation.  
17  Scientific notation  Changing scientific notation to numerals  
Objective: On completion of the lesson the student will be able to change numbers written in scientific notation to basic numerals and be capable of solving problems on the calculator in scientific notation.  
18  Area  Area of a circle.  
Objective: On completion of the lesson the student will be able calculate the area of a circle, and also calculate the radius and diameter of a circle.  
19  Area  Area of a trapezium.  
Objective: On completion of the lesson the student will be able calculate the area of all types of different shaped trapeziums using a given formula.  
20  Area  Area of a rhombus.  
Objective: On completion of the lesson the student will be able to: identify a rhombus, learn how to find the formula for the area of a rhombus, and use it in solving problems.  
21  Area  Area of regular polygons and composite figures.  
Objective: On completion of the lesson the student will be able calculate the area of a number of different shapes by applying the appropriate formula.  
22  Surface area  Surface area of a cube/rectangular prism.  
Objective: On completion of the lesson the student will be able calculate the surface area of a number of different shapes by applying the appropriate formula.  
23  Surface area  Surface area of a triangular/trapezoidal prism.  
Objective: On completion of the lesson the student will be able calculate the surface area of a number of triangular and trapezoidal shapes by applying the appropriate formula.  
24  Surface area  Surface area of a cylinder and sphere.  
Objective: On completion of the lesson the student will be able calculate the surface area of different cylindrical and spherical shapes by applying the appropriate formula.  
25  Volume  Volume of a cylinder and sphere.  
Objective: On completion of the lesson the student will be able to: calculate the volume of cylinders, spheres and hemispheres using the appropriate formulae, and use the relationship between litres and other measures of volume.  
26  Statistics  Frequency distribution table  
Objective: On completion of the lesson the student will be able to construct a frequency distribution table for raw data and interpret the table.  
27  Statistics  Frequency histograms and polygons  
Objective: On completion of the lesson the student will be able to construct and interpret frequency histograms and polygons.  
28  Statistics  Relative frequency  
Objective: On completion of the lesson the student will be able to collect, display and make judgements about data.  
29  Statistics  The range.  
Objective: On completion of the lesson the student will be able to determine the range of data in either raw form or in a frequency distribution table.  
30  Statisticprobability  The mode  
Objective: On completion of the lesson the student will understand how to find the mode from raw data, a frequency distribution table and polygon.  
31  Statisticprobability  The mean  
Objective: On completion of the lesson the student will be able to calculate means from raw data and from a frequency table using an fx column.  
32  Statisticprobability  The median  
Objective: On completion of the lesson the student will be able to determine the median of a set of raw scores  
33  Geometryproblems  Additional questions involving parallel lines  
Objective: On completion of the lesson the student will able to complete two step parallel line questions, and identify other ways to solve them.  
34  Special triangles  Special triangles  
Objective: On completion of the lesson the student will able to identify an equilateral and an isosceles triangle and solve geometry questions involving these triangles.  
35  Geometryquadrilaterals  Quadrilaterals  
Objective: On completion of the lesson the student will able to find missing angles by using the fact that a quadrilateral’s angle sum is 360 degrees.  
36  Geometryconstructions  Geometric constructions  
Objective: On completion of the lesson the student will able complete constructions with a ruler and a pair of compasses.  
37  Geometry problems  More difficult exercises involving parallel lines  
Objective: On completion of the lesson the student will able to identify corresponding, cointerior and alternate angles in questions that are more difficult than previously completed. Students will also learn to use other geometric properties as well as set out log  
38  Geometrycongruence  Congruent triangles, Test 1 and 2  
Objective: On completion of the lesson the student will be able to identify which test to use to show two triangles are congruent.  
39  Geometrycongruence  Congruent triangles, Test 3 and 4  
Objective: On completion of the lesson the student will be able to identify other tests to use to show two triangles are congruent.  
40  Pythagoras  Find the hypotenuse  
Objective: On completion of this lesson the student will be able to use Pythagoras’ Theorem to calculate the length of the hypotenuse.  
41  Pythagoras  Pythagorean triples  
Objective: On completion of the lesson the student will be able to use the 345 Pythagorean triple.  
42  Pythagoras  Find the hypotenuse Part 2  
Objective: On completion of this lesson the student will be able to use Pythagoras’ Theorem to calculate the length of the hypotenuse using decimals and surds.  
43  Pythagoras  Calculating a leg of a rightangled triangle  
Objective: On completion of this lesson the student will be able to use Pythagoras’ Theorem to calculate the length of one of the shorter sides of a right triangle.  
44  Trigonometryratios  Trigonometric ratios.  
Objective: On completion of the lesson the student will be able to identify the hypotenuse, adjacent and opposite sides for a given angle in a right angle triangle. The student will be able to label the side lengths in relation to a given angle e.g. the side c is op  
45  Trigonometryratios  Using the calculator.  
Objective: On completion of the lesson the student will be able to use the calculator to find values for the sine, cosine and tangent ratios of acute angles.  
46  Trigonometryratios  Using the trigonometric ratios to find unknown length. [Case 1 Sine].  
Objective: On completion of the lesson the student will be able to use the sine ratio to calculate lengths and distances.  
47  Trigonometryratios  Using the trigonometric ratios to find unknown length. [Case 2 Cosine].  
Objective: On completion of the lesson the student will be able to use the cosine ratio to find the length of the adjacent side of a right angle triangle.  
48  Trigonometryratios  Using the trigonometric ratios to find unknown length. [Case 3 Tangent Ratio].  
Objective: On completion of the lesson the student will be able to use the tangent ratio to calculate the length of the opposite side in a right angle triangle.  
49  Trigonometryratios  Unknown in the denominator. [Case 4].  
Objective: On completion of the lesson the student will understand how to use the trig ratios to calculate lengths and distances when the denominator is unknown.  
50  Trigonometrycompass  Bearings – the compass.  
Objective: On completion of the lesson the student will be able to identify compass bearings, compass bearings with acute angles and 3 figure bearings from true north.  
51  Trigonometryelevation  Angles of elevation and depression.  
Objective: On completion of the lesson the student will be able to identify angles of depression and angles of elevation, and the relationship between them.  
52  Statisticprobability  Probability of Simple Events  
Objective: On completion of the lesson the student will be able to understand the probability of simple events.  
53  Exam  Exam – Year 9  
Objective: Exam 
Denmark Year 10 Mathematics
#  TOPIC  TITLE  

1  Self Assessment  Self Assessment – Year 10  
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.  
2  Fractions  Multiplying and dividing to obtain equivalent fractions  
Objective: On completion of the lesson the student will be able to: obtain equivalent fractions using a number line or diagram, develop mental strategies to obtain equivalent fractions, and reduce a fraction to its lowest equivalent form.  
3  Fractions  Reducing fractions to lowest equivalent form  
Objective: On completion of the lesson the student will be able to reduce a fraction to its lowest equivalent form by dividing the numerator and denominator by a common factor.  
4  Fractions  Comparing and ordering fractions greater than (>) 1  
Objective: On completion of the lesson the student will be able to use diagrams, number lines and equivalent fractions to compare and order fractions greater than (>) one.  
5  Fractions  Subtracting fractions from whole numbers  
Objective: On completion of the lesson the student will be able to: use a diagram to subtract fractions from a whole number, develop mental strategies for subtracting fractions from whole numbers, and recognise and use the written form for subtracting fractions from  
6  Fractions  Adding and subtracting fractions with the same denominator  
Objective: On completion of the lesson the student will be able to add and subtract fractions with the same denominator.  
7  Fractions  Adding and subtracting fractions with different denominators  
Objective: On completion of the lesson the student will be able to add and subtract fractions where one denominator is a multiple of the other.  
8  Fractions  Multiplying fractions by whole numbers  
Objective: On completion of the lesson the student will be able to multiply simple fractions by whole numbers.  
9  Fractions  Multiplying fractions  
Objective: On completion of the lesson the student will be able to multiply fractions and reduce the answer to its lowest form.  
10  Fractions  Multiplying mixed numbers (mixed numerals)  
Objective: On completion of the lesson the student will be able to multiply mixed numbers (mixed numerals) and reduce the answer to its lowest form.  
11  Fractions  Finding reciprocals of fractions and mixed numbers (mixed numerals)  
Objective: On completion of the lesson the student will be able to find the reciprocals of fractions and mixed numbers (mixed numerals).  
12  Fractions  Dividing fractions  
Objective: On completion of the lesson the student will be able to divide fractions.  
13  Fractions  Dividing mixed numbers (mixed numerals)  
Objective: On completion of the lesson the student will be able to divide mixed numbers (mixed numerals).  
14  Rules properties  Using Order of Operation procedures (BIDMAS) with Fractions  
Objective: On completion of the lesson the student will know how to apply the order of operations rules to simplify expressions with integers and fractions.  
15  Percentages  Calculating Percentages and Fractions of Quantities  
Objective: To find percentages and fractions of quantities and solve problems with percentages  
16  Algebraic equations  Solving equations containing binomial expressions  
Objective: On completion of the lesson the student will be able to move terms in binomial equations.  
17  Decimals  Adding decimals to two decimal places  
Objective: On completion of the lesson the student will be able to add decimals with the same number of decimal places (to two decimal places)  
18  Decimals  Subtracting decimals to two decimal places  
Objective: On completion of the lesson the student will be able to subtract decimals with the same number of decimal places (to two decimal places)  
19  Decimals  Using decimals – shopping problems  
Objective: On completion of the lesson the student will be able to: read and interpret problems involving money, interpret the everyday use of decimals, and perform calculations with money.  
20  Decimals  Using decimals to record length  
Objective: On completion of the lesson the student will be able to interpret the everyday use of fractions and decimals and use their knowledge of decimals to record measurements.  
21  Decimals  Decimals to three decimal places  
Objective: On completion of the lesson the student will be able to express thousandths as a decimal and interpret decimal notation for thousandths.  
22  Decimals  Adding decimals with a different number of decimal places  
Objective: On completion of the lesson the student will be able to add decimal numbers with different numbers of decimal places.  
23  Decimals  Subtracting decimals with a different number of places  
Objective: On completion of the lesson the student will be able to subtract decimals with different numbers of decimal places.  
24  Decimals  Multiplication of decimals by decimals to two decimal places  
Objective: On completion of the lesson the student will be able to multiply decimals to two digits.  
25  Decimals  Dividing decimals by 10, 100 and 1000  
Objective: On completion of the lesson the student will be able to divide decimal numbers by one hundred and recognise the pattern formed when decimals are divided by ten, one hundred and one thousand.  
26  Decimals  Dividing decimal fractions by whole numbers  
Objective: On completion of the lesson the student will be able to divide decimal fractions by whole numbers.  
27  Decimals  Dividing numbers by a decimal fraction  
Objective: On completion of the lesson the student will be able to divide numbers by a decimal fraction.  
28  Percentages  Introduction to percentages, including relating common fractions to percentages  
Objective: On completion of the lesson the student will be able to recognise that the symbol % means ‘per cent’ and relate common fractions to a percentage.  
29  Percentages  Changing fractions and decimals to percentages using tenths and hundredths  
Objective: On completion of the lesson the student will be able to change simple fractions to percentages and decimals to percentages by using place value conversion.  
30  Percentages  Changing percentages to fractions and decimals  
Objective: On completion of the lesson the student will be able to change percentages to fractions and know how to change percentages to decimals.  
31  Percentages  One quantity as a percentage of another  
Objective: On completion of the lesson the student will be able to find a percentage of an amount and how to express one quantity as a percentage of another.  
32  Algebraic equations  Equations involving grouping symbols.  
Objective: On completion of the lesson the student will be able to solve equations using grouping symbols  
33  Algebraic equations  Equations involving fractions.  
Objective: On completion of the lesson the student will know how to solve equations using fractions.  
34  Algebrainequalities  Solving Inequalities.  
Objective: On completion of the lesson the student will understand the ‘greater than’ and ‘less than’ signs, and be able to perform simple inequalities.  
35  Algebrafactorising  Simplifying easy algebraic fractions.  
Objective: On completion of the lesson the student will understand how to simplify algebraic fractions by factorising.  
36  Rules for indices/exponents  Adding indices when multiplying terms with the same base  
Objective: On completion of the lesson the student will know how to use the index law of addition of powers when multiplying terms with the same base.  
37  Rules for indices/exponents  Subtracting indices when dividing terms with the same base  
Objective: On completion of the lesson the student will know how to use the index law of subtraction of powers when dividing terms with the same base.  
38  Rules for indices/exponents  Multiplying indices when raising a power to a power  
Objective: On completion of the lesson the student will use the law of multiplication of indices when raising a power to a power.  
39  Rules for indices/exponents  Multiplying indices when raising to more than one term  
Objective: On completion of the lesson the student will be able to use the law of multiplication of indices when raising more than one term to the same power.  
40  Rules for indices/exponents  Terms raised to the power of zero  
Objective: On completion of the lesson the student will learn how to evaluate or simplify terms that are raised to the power of zero.  
41  Rules for indices/exponents  Negative Indices  
Objective: On completion of the lesson the student will know how to evaluate or simplify expressions containing negative indices.  
42  Algebraic fractions  Simplifying algebraic fractions using the index laws.  
Objective: On completion of the lesson the student will be able to simplify most algebraic fractions using different methodologies.  
43  Fractional indices/exponents  Fractional indices  
Objective: On completion of the lesson the student will know how to evaluate or simplify expressions containing fractional indices.  
44  Scientific notation  Scientific notation with larger numbers  
Objective: On completion of the lesson the student will be able to change numbers greater than 1 to scientific notation.  
45  Scientific notation  Scientific notation with small numbers  
Objective: On completion of the lesson the student will be able to change numbers between zero and 1 to scientific notation.  
46  Scientific notation  Changing scientific notation to numerals  
Objective: On completion of the lesson the student will be able to change numbers written in scientific notation to basic numerals and be capable of solving problems on the calculator in scientific notation.  
47  Significant figures  Significant figures  
Objective: On completion of the lesson the student will be able to observe how many significant figures are in a number and how to express a number to a certain level of significant figures.  
48  Trigonometryratios  Using the trigonometric ratios to find unknown length. [Case 3 Tangent Ratio].  
Objective: On completion of the lesson the student will be able to use the tangent ratio to calculate the length of the opposite side in a right angle triangle.  
49  Trigonometryratios  Unknown in the denominator. [Case 4].  
Objective: On completion of the lesson the student will understand how to use the trig ratios to calculate lengths and distances when the denominator is unknown.  
50  Trigonometrycompass  Bearings – the compass.  
Objective: On completion of the lesson the student will be able to identify compass bearings, compass bearings with acute angles and 3 figure bearings from true north.  
51  Trigonometryelevation  Angles of elevation and depression.  
Objective: On completion of the lesson the student will be able to identify angles of depression and angles of elevation, and the relationship between them.  
52  Trigonometrypractical  Trigonometric ratios in practical situations.  
Objective: On completion of the lesson the student will be able to use trigonometric ratios to solve problems involving compass bearings and angles of depression and elevation.  
53  Trigonometry ratios  Using the trigonometric ratios to find an angle in a rightangled triangle.  
Objective: On completion of the lesson the student will be able to find the value of an unknown angle in a right angle triangle given the lengths of 2 of the sides.  
54  Trigonometryratios  Using the calculator to find an angle given a trigonometric ratio.  
Objective: On completion of the lesson the student will be capable of using a calculator to find the value of an unknown angle when given a trigonometric ratio.  
55  Geometryproblems  Additional questions involving parallel lines  
Objective: On completion of the lesson the student will able to complete two step parallel line questions, and identify other ways to solve them.  
56  Geometryquadrilaterals  Quadrilaterals  
Objective: On completion of the lesson the student will able to find missing angles by using the fact that a quadrilateral’s angle sum is 360 degrees.  
57  Geometryconstructions  Geometric constructions  
Objective: On completion of the lesson the student will able complete constructions with a ruler and a pair of compasses.  
58  Geometryreasoning  Further difficult exercises involving formal reasoning  
Objective: On completion of the lesson the student will be able to identify which geometric properties are needed to complete a question and be able to use formal reasoning to write out this information.  
59  Geometrycongruence  Congruent triangles, Test 1 and 2  
Objective: On completion of the lesson the student will be able to identify which test to use to show two triangles are congruent.  
60  Geometrycongruence  Congruent triangles, Test 3 and 4  
Objective: On completion of the lesson the student will be able to identify other tests to use to show two triangles are congruent.  
61  Geometrycongruence  Proofs and congruent triangles.  
Objective: On completion of the lesson the student will be able to set out a formal proof to show that two triangles are congruent.  
62  Similar triangles  Using similar triangles to calculate lengths  
Objective: On completion of the lesson the student will be able to calculate lengths using similar triangles.  
63  Overlapping triangles  Examples involving overlapping triangles  
Objective: On completion of the lesson the student will be able to calculate unknown sides in overlapping or adjacent similar triangles.  
64  Geometry – triangles  Triangle inequality theorem  
Objective: On completion of the lesson the student will understand and use the triangle inequality theorem.  
65  Area  Area of a trapezium.  
Objective: On completion of the lesson the student will be able calculate the area of all types of different shaped trapeziums using a given formula.  
66  Area  Area of a rhombus.  
Objective: On completion of the lesson the student will be able to: identify a rhombus, learn how to find the formula for the area of a rhombus, and use it in solving problems.  
67  Area  Area of a circle.  
Objective: On completion of the lesson the student will be able calculate the area of a circle, and also calculate the radius and diameter of a circle.  
68  Area  Area of regular polygons and composite figures.  
Objective: On completion of the lesson the student will be able calculate the area of a number of different shapes by applying the appropriate formula.  
69  Surface area  Surface area of a cube/rectangular prism.  
Objective: On completion of the lesson the student will be able calculate the surface area of a number of different shapes by applying the appropriate formula.  
70  Surface area  Surface area of a triangular/trapezoidal prism.  
Objective: On completion of the lesson the student will be able calculate the surface area of a number of triangular and trapezoidal shapes by applying the appropriate formula.  
71  Surface area  Surface area of a cylinder and sphere.  
Objective: On completion of the lesson the student will be able calculate the surface area of different cylindrical and spherical shapes by applying the appropriate formula.  
72  Surface area  Surface area of pyramids  
Objective: On completion of the lesson the student will be able to find the surface areas of pyramids.  
73  Surface area  Surface area of cones  
Objective: On completion of the lesson the student will be able to find the surface areas of cones by finding the area or the base ‘p r . ‘and the area of the curved surface ‘ p r l’. The student will also be able to find the slant height ‘l’ given the perpendicul  
74  Surface area  Surface area of composite solids  
Objective: On completion of the lesson the student will be able to find the surface areas of Composite solids.  
75  Volume  Volume of pyramids and cones.  
Objective: On completion of the lesson the student will be able to: use formulae to find the volume of right pyramids and cones, and calculate the volume of a variety of pyramids and cones.  
76  Volume  Composite solids.  
Objective: On completion of the lesson the student will be able to: dissect composite solids into simpler shapes so that the volume can be calculated, calculate the volume of a variety of composite solids, and use formulae appropriately.  
77  Coordinate Geometrythe plane  Distance formula.  
Objective: On completion of the lesson the student will be able to calculate the distance between any two points on the number plane and interpret the results.  
78  Coordinate Geometrymidpoint, slope  Midpoint formula  
Objective: On completion of the lesson the student will be able to understand the mid point formula and use it practically.  
79  Coordinate Geometrygradient  Gradient  
Objective: On completion of the lesson the student will be able to calculate the gradient of a line given its inclination, or angle to the positive direction of the xaxis; or its rise and run.  
80  Coordinate Geometrygradient  Gradient formula.  
Objective: On completion of the lesson the student will be able to calculate the gradient of a line given any two points on the line and also be capable of checking whether 3 or more points lie on the same line and what an unknown point will make to parallel lines.  
81  Coordinate Geometrystraight line  The straight line.  
Objective: On completion of the lesson the student will be able to draw a line which is parallel to either axis and comment on its gradient, where that gradient exists.  
82  Coordinate Geometryslope, etc.  Lines through the origin.  
Objective: On completion of the lesson the student will be able to draw a line which passes through the origin of the form y=mx and comment on its gradient compared to the gradients of other lines through the origin and use the information to solve problems.  
83  Coordinate Geometryequation of line  General form of a line and the x and y Intercepts.  
Objective: On completion of the lesson the student will be able to change the equation of a straight line from the form, written as y=mx+c, into the general form and vice versa.  
84  Coordinate Geometryintercept  Slope intercept form of a line.  
Objective: On completion of the lesson the student will be able to find the slope and intercept given the equation and given the slope and intercept, derive the equation.  
85  Coordinate Geometrypoint slope  Point slope form of a line  
Objective: On completion of the lesson the student will understand how to derive the equation of a straight line given the gradient and a point on the line.  
86  Statistics  Frequency distribution table  
Objective: On completion of the lesson the student will be able to construct a frequency distribution table for raw data and interpret the table.  
87  Statisticprobability  Cumulative frequency  
Objective: On completion of the lesson the student will be able to construct cumulative frequency columns, histograms and polygons.  
88  Statisticprobability  Calculating the median from a frequency distribution  
Objective: On completion of the lesson the student will be able to determine the median from a cumulative frequency polygon.  
89  Statisticprobability  Tree diagrams – not depending on previous outcomes  
Objective: On completion of the lesson the student will be confident in drawing tree diagrams to list outcomes of a multi stage probability problem and then finding probabilities of certain events not depending on previous outcomes.  
90  Statisticprobability  Tree diagrams – depending on previous outcomes  
Objective: On completion of the lesson the student will be confident in drawing tree diagrams to list outcomes of other multi stage probability problems and then finding probabilities of certain events depending on previous outcomes.  
91  Exam  Exam – Year 10  
Objective: Exam 
Denmark Year 11 Mathematics
#  TOPIC  TITLE  

1  Self Assessment  Self Assessment – Year 11  
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.  
2  Statistics  Frequency distribution table  
Objective: On completion of the lesson the student will be able to construct a frequency distribution table for raw data and interpret the table.  
3  Statistics  Frequency histograms and polygons  
Objective: On completion of the lesson the student will be able to construct and interpret frequency histograms and polygons.  
4  Statistics  Relative frequency  
Objective: On completion of the lesson the student will be able to collect, display and make judgements about data.  
5  Statistics  The range.  
Objective: On completion of the lesson the student will be able to determine the range of data in either raw form or in a frequency distribution table.  
6  Statisticprobability  The mode  
Objective: On completion of the lesson the student will understand how to find the mode from raw data, a frequency distribution table and polygon.  
7  Statisticprobability  The mean  
Objective: On completion of the lesson the student will be able to calculate means from raw data and from a frequency table using an fx column.  
8  Statisticprobability  The median  
Objective: On completion of the lesson the student will be able to determine the median of a set of raw scores  
9  Statisticprobability  Cumulative frequency  
Objective: On completion of the lesson the student will be able to construct cumulative frequency columns, histograms and polygons.  
10  Statisticprobability  Calculating the median from a frequency distribution  
Objective: On completion of the lesson the student will be able to determine the median from a cumulative frequency polygon.  
11  Statistics  Stem and Leaf Plots along with Box and Whisker Plots  
Objective: On completion of the lesson the student will be familiar with vocabulary for statistics including quartiles, mode, median, range and the representation of this information on a Box and Whisker Plot.  
12  Area  Finding the area of a triangle and other composite shapes.  
Objective: On completion of the lesson the student will be able calculate areas of triangles and shapes based on triangles, rectangles and parallelograms using given formulas.  
13  Area  Larger areas: square metre, hectare, square kilometre.  
Objective: On completion of the lesson the student will be able to calculate larger areas using the correct square unit.  
14  Area  Area of a trapezium.  
Objective: On completion of the lesson the student will be able calculate the area of all types of different shaped trapeziums using a given formula.  
15  Area  Area of a rhombus.  
Objective: On completion of the lesson the student will be able to: identify a rhombus, learn how to find the formula for the area of a rhombus, and use it in solving problems.  
16  Area  Area of a circle.  
Objective: On completion of the lesson the student will be able calculate the area of a circle, and also calculate the radius and diameter of a circle.  
17  Surface area  Surface area of a cube/rectangular prism.  
Objective: On completion of the lesson the student will be able calculate the surface area of a number of different shapes by applying the appropriate formula.  
18  Surface area  Surface area of a triangular/trapezoidal prism.  
Objective: On completion of the lesson the student will be able calculate the surface area of a number of triangular and trapezoidal shapes by applying the appropriate formula.  
19  Surface area  Surface area of pyramids  
Objective: On completion of the lesson the student will be able to find the surface areas of pyramids.  
20  Capacity  Converting between volume and capacity using millilitres and litres  
Objective: On completion of the lesson the student will be able to convert between units of capacity.  
21  Weight/mass  The tonne – converting units and problems  
Objective: On completion of the lesson the student should be able to: choose the correct unit to measure the mass of small, medium or large objects, and convert measurements from one unit to another.  
22  Volume  Finding the volume of prisms  
Objective: On completion of the lesson the student will be able to: use formulae to find the volume of prisms, calculate the volume of a variety of prisms, and explain the relationship between units of length and units of volume.  
23  Volume  Volume of a cylinder and sphere.  
Objective: On completion of the lesson the student will be able to: calculate the volume of cylinders, spheres and hemispheres using the appropriate formulae, and use the relationship between litres and other measures of volume.  
24  Volume  Volume of pyramids and cones.  
Objective: On completion of the lesson the student will be able to: use formulae to find the volume of right pyramids and cones, and calculate the volume of a variety of pyramids and cones.  
25  Pythagoras  Find the hypotenuse  
Objective: On completion of this lesson the student will be able to use Pythagoras’ Theorem to calculate the length of the hypotenuse.  
26  Pythagoras  Pythagorean triples  
Objective: On completion of the lesson the student will be able to use the 345 Pythagorean triple.  
27  Pythagoras  Find the hypotenuse Part 2  
Objective: On completion of this lesson the student will be able to use Pythagoras’ Theorem to calculate the length of the hypotenuse using decimals and surds.  
28  Pythagoras  Calculating a leg of a rightangled triangle  
Objective: On completion of this lesson the student will be able to use Pythagoras’ Theorem to calculate the length of one of the shorter sides of a right triangle.  
29  Trigonometryratios  Trigonometric ratios.  
Objective: On completion of the lesson the student will be able to identify the hypotenuse, adjacent and opposite sides for a given angle in a right angle triangle. The student will be able to label the side lengths in relation to a given angle e.g. the side c is op  
30  Trigonometryratios  Using the calculator.  
Objective: On completion of the lesson the student will be able to use the calculator to find values for the sine, cosine and tangent ratios of acute angles.  
31  Trigonometryratios  Using the trigonometric ratios to find unknown length. [Case 1 Sine].  
Objective: On completion of the lesson the student will be able to use the sine ratio to calculate lengths and distances.  
32  Trigonometryratios  Using the trigonometric ratios to find unknown length. [Case 2 Cosine].  
Objective: On completion of the lesson the student will be able to use the cosine ratio to find the length of the adjacent side of a right angle triangle.  
33  Trigonometryratios  Using the trigonometric ratios to find unknown length. [Case 3 Tangent Ratio].  
Objective: On completion of the lesson the student will be able to use the tangent ratio to calculate the length of the opposite side in a right angle triangle.  
34  Trigonometryratios  Unknown in the denominator. [Case 4].  
Objective: On completion of the lesson the student will understand how to use the trig ratios to calculate lengths and distances when the denominator is unknown.  
35  Trigonometrycompass  Bearings – the compass.  
Objective: On completion of the lesson the student will be able to identify compass bearings, compass bearings with acute angles and 3 figure bearings from true north.  
36  Trigonometryelevation  Angles of elevation and depression.  
Objective: On completion of the lesson the student will be able to identify angles of depression and angles of elevation, and the relationship between them.  
37  Trigonometrypractical  Trigonometric ratios in practical situations.  
Objective: On completion of the lesson the student will be able to use trigonometric ratios to solve problems involving compass bearings and angles of depression and elevation.  
38  Trigonometryratios  Using the calculator to find an angle given a trigonometric ratio.  
Objective: On completion of the lesson the student will be capable of using a calculator to find the value of an unknown angle when given a trigonometric ratio.  
39  Trigonometry ratios  Using the trigonometric ratios to find an angle in a rightangled triangle.  
Objective: On completion of the lesson the student will be able to find the value of an unknown angle in a right angle triangle given the lengths of 2 of the sides.  
40  Trigonometryexact ratios  Trigonometric ratios of 30., 45. and 60. – exact ratios.  
Objective: On completion of the lesson the student will be able to find the exact sine, cosine and tangent ratios for the angles 30., 45.and 60.  
41  Scientific notation  Scientific notation with larger numbers  
Objective: On completion of the lesson the student will be able to change numbers greater than 1 to scientific notation.  
42  Scientific notation  Scientific notation with small numbers  
Objective: On completion of the lesson the student will be able to change numbers between zero and 1 to scientific notation.  
43  Scientific notation  Changing scientific notation to numerals  
Objective: On completion of the lesson the student will be able to change numbers written in scientific notation to basic numerals and be capable of solving problems on the calculator in scientific notation.  
44  Significant figures  Significant figures  
Objective: On completion of the lesson the student will be able to observe how many significant figures are in a number and how to express a number to a certain level of significant figures.  
45  Algebraic expressions  Expanding algebraic expressions: negative multiplier  
Objective: On completion of the lesson the student will be able to expand expressions using a negative multiplier.  
46  Algebraic expressions  Expanding and simplifying algebraic expressions  
Objective: On completion of the lesson the student will be familiar with expanding and simplifying algebraic expressions.  
47  Algebraic expressionsproducts  Products in simplification of algebraic expressions  
Objective: On completion of the lesson the student will understand simplification of algebraic expressions in stepbystep processing.  
48  Algebraic equations  Solving two step equations  
Objective: On completion of the lesson the student will be able to solve two step equations.  
49  Algebraic equations  Solving equations containing binomial expressions  
Objective: On completion of the lesson the student will be able to move terms in binomial equations.  
50  Algebraic equations  Equations involving grouping symbols.  
Objective: On completion of the lesson the student will be able to solve equations using grouping symbols  
51  Algebraic equations  Equations involving fractions.  
Objective: On completion of the lesson the student will know how to solve equations using fractions.  
52  Algebrafactorising  Simplifying easy algebraic fractions.  
Objective: On completion of the lesson the student will understand how to simplify algebraic fractions by factorising.  
53  Algebraic fractions  Simplifying algebraic fractions using the index laws.  
Objective: On completion of the lesson the student will be able to simplify most algebraic fractions using different methodologies.  
54  Algebra formulae  Equations resulting from substitution into formulae.  
Objective: On completion of the lesson the student will be able to substitute into formulae and then solve the resulting equations.  
55  Simultaneous equns  Simultaneous equations  
Objective: On completion of the lesson the student will be able to solve 2 equations with 2 unknown variables by the substitution method.  
56  Coordinate Geometrystraight line  The straight line.  
Objective: On completion of the lesson the student will be able to draw a line which is parallel to either axis and comment on its gradient, where that gradient exists.  
57  Coordinate Geometryslope, etc.  Lines through the origin.  
Objective: On completion of the lesson the student will be able to draw a line which passes through the origin of the form y=mx and comment on its gradient compared to the gradients of other lines through the origin and use the information to solve problems.  
58  Coordinate Geometryintercept  Slope intercept form of a line.  
Objective: On completion of the lesson the student will be able to find the slope and intercept given the equation and given the slope and intercept, derive the equation.  
59  Coordinate GeometryIntercept form  Intercept form of a straight line: find the equation when given x and y  
Objective: On completion of the lesson the student will have an effective and efficient method for calculating the equation of a straight line.  
60  Similar triangles  Similar triangles  
Objective: On completion of the lesson the student will be able to identify which test to use to show two triangles are similar.  
61  Similar triangles  Using similar triangles to calculate lengths  
Objective: On completion of the lesson the student will be able to calculate lengths using similar triangles.  
62  Overlapping triangles  Examples involving overlapping triangles  
Objective: On completion of the lesson the student will be able to calculate unknown sides in overlapping or adjacent similar triangles.  
63  Statisticprobability  Probability of Simple Events  
Objective: On completion of the lesson the student will be able to understand the probability of simple events.  
64  Statisticprobability  Rolling a pair of dice  
Objective: On completion of the lesson the student will be capable of ascertaining the probability of certain results when 2 dice are thrown simultaneously.  
65  Statisticprobability  Experimental probability  
Objective: On completion of this lesson the student will be able to find the probabilities in an experimental trial.  
66  Statisticprobability  The complementary result ..  
Objective: On completion of the lesson the student will be capable of ascertaining the probability of certain results where the complementary event is involved.  
67  Statisticprobability  P[A or B] When A and B are both mutually and NOT mutually exclusive  
Objective: On completion of this lesson the student will be able to distinguish between mutually exclusive and non mutually exclusive events and be able to find the probabilities of both.  
68  Sequences and SeriesCompound interest  Compound interest  
Objective: On completion of the G.P. lesson the student will understand the compound interest formula and how to use it and adjust the values of r and n, if required, for different compounding periods.  
69  Exam  Exam – Year 11  
Objective: Exam 
Denmark Year 12 Mathematics
#  TOPIC  TITLE  

1  Self Assessment  Self Assessment – Year 12  
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.  
2  Statistics – grouped data  Calculating mean, mode and median from grouped data  
Objective: On completion of the lesson the student will be capable of identifying class centres, get frequency counts and determine the mean and mode values.  
3  Statistics – Range and dispersion  Range as a measure of dispersion  
Objective: On completion of the lesson the student will be able to determine the range and using it in decision making.  
4  Statistics – Spread  Measures of spread  
Objective: On completion of the lesson the student will be able to find the standard deviation, using a data set or a frequency distribution table and calculator.  
5  Statistics – Standard deviation  Standard deviation applications  
Objective: On completion of the lesson the student will be able to use standard deviation as a measure of deviation from a mean.  
6  Statistics – Standard deviation  Normal distribution  
Objective: On completion of the lesson the student will be able to use the standard deviation of a normal distribution to find the percentage of scores within ranges.  
7  Statistics – Interquartile range  Measures of spread: the interquartile range  
Objective: On completion of the lesson the student will be able to find the upper and lower quartiles and the interquartile range  
8  Statistics  Scatter Diagrams  
Objective: On completion of the lesson the student will be able to construct scatter plots and draw conclusions from these.  
9  Area  Area of regular polygons and composite figures.  
Objective: On completion of the lesson the student will be able calculate the area of a number of different shapes by applying the appropriate formula.  
10  Volume  Composite solids.  
Objective: On completion of the lesson the student will be able to: dissect composite solids into simpler shapes so that the volume can be calculated, calculate the volume of a variety of composite solids, and use formulae appropriately.  
11  Surface area  Surface area of a cylinder and sphere.  
Objective: On completion of the lesson the student will be able calculate the surface area of different cylindrical and spherical shapes by applying the appropriate formula.  
12  Surface area  Surface area of cones  
Objective: On completion of the lesson the student will be able to find the surface areas of cones by finding the area or the base ‘p r . ‘and the area of the curved surface ‘ p r l’. The student will also be able to find the slant height ‘l’ given the perpendicul  
13  Surface area  Surface area of composite solids  
Objective: On completion of the lesson the student will be able to find the surface areas of Composite solids.  
14  Trigonometrycosine rule  The cosine rule to find an unknown side. [Case 1 SAS].  
Objective: On completion of the lesson the student will be able to use the cosine rule to find the length of an unknown side of a triangle knowing 2 sides and the included angle.  
15  Trigonometrycosine rule  The cosine rule to find an unknown angle. [Case 2 SSS].  
Objective: On completion of the lesson the student will be able to find the size of an unknown angle of a triangle using the cosine rule given the lengths of the 3 sides.  
16  Trigonometrysine rule  The sine rule to find an unknown side. Case 1.  
Objective: On completion of the lesson the student will be able to use the Sine rule to find the length of a particular side when the student is given the sizes of 2 of the angles and one of the sides.  
17  Trigonometrysine rule  The sine rule to find an unknown angle. Case 2.  
Objective: On completion of the lesson the student will be able to use the sine rule to find an unknown angle when given 2 sides and a nonincluded angle.  
18  Trigonometryareas  The area formula  
Objective: On completion of the lesson the student will be able to use the sine formula for finding the area of a triangle given 2 sides and the included angle.  
19  Statisticprobability  Tree diagrams – not depending on previous outcomes  
Objective: On completion of the lesson the student will be confident in drawing tree diagrams to list outcomes of a multi stage probability problem and then finding probabilities of certain events not depending on previous outcomes.  
20  Statisticprobability  Tree diagrams – depending on previous outcomes  
Objective: On completion of the lesson the student will be confident in drawing tree diagrams to list outcomes of other multi stage probability problems and then finding probabilities of certain events depending on previous outcomes.  
21  Statisticprobability  Counting techniques and ordered selections – permutations  
Objective: On completion of this lesson the student will be competent in using some new counting techniques used for solving probability.  
22  Statisticprobability  Unordered selections – combinations  
Objective: On completion of the lesson the student will be able to use the formula, n c r both with and without a calculator and be able to use it to solve probability problems where unordered selections happen.  
23  Algebra formulae  Changing the subject of the formula.  
Objective: On completion of the lesson the student will be able to move pronumerals around an equation using all the rules and operations covered previously.  
24  Coordinate geometry  Solve by graphing  
Objective: On completion of the lesson students will use the slope intercept form of a line to create graphs and find points of intersection.  
25  Exam  Exam – Year 12  
Objective: Exam 
Denmark Kindergarten Literacy
#  TOPIC  TITLE  

1  It’s time to learn your A B C!  The Alphabet!  
Objective: Students will practise reading the letters of the alphabet and practise recognition of: a, b, c, d, e, f.  
2  It’s time to learn your A B C!  1 2 3 – It’s A B C!  
Objective: Students will hear and practise saying the alphabet and the numbers 111.  
3  It’s time to learn your A B C!  How do you spell that?  
Objective: Students will develop their letter recognition skills by listening to a conversation. They will be able to identify the letters by name.  
4  It’s time to learn your A B C!  It’s time!  
Objective: Students will develop their comprehension skills by reading a short text about asking and telling the time on the hour and half hour.  
5  It’s time to learn your A B C!  What time is it?  
Objective: Students will develop their comprehension skills by listening to a conversation about asking and telling the time. They will practise using the key sentences.  
6  It’s time to learn your A B C!  ‘A’ sounds like …!  
Objective: Students will listen to, discriminate between and practise the sounds of the letters a, b, c, d, e, f.  
7  Hello! How are you?  Hello! I’m Lulu.  
Objective: Students will develop their comprehension skills by reading, and listening to, a picture story in which they will meet some new friends.  
8  Hello! How are you?  My name is Jack!  
Objective: Students will develop their comprehension skills by reading, and listening to, a picture story in which new friends and new vocabulary are introduced.  
9  Eight Purple Stars!  Ten Little Pandas 

Objective: Students will read a picture story and practise the numbers 110.  
10  Eight Purple Stars!  What colour is it?  
Objective: Students will read and practise the words for basic colours. They will learn to answer the question: ‘What colour is …?’ and reply with ‘It’s …’.  
11  Fun at School  Close the door, please!  
Objective: Students will develop their listening and speaking skills. They will read and hear a picture story, and practise classroom instructions.  
12  Fun at School  This is my father and mother.  
Objective: Students will develop their reading skills. They will read a picture story and become familiar with ‘This is …’ and ‘That is …’.  
13  What’s this?  It’s my green eraser!  
Objective: Students will develop their language skills by reading, and listening to, a picture story in which some possessive pronouns are used. They will also become familiar with the questions: ‘What’s this?’ and ‘What’s that?’.  
14  What’s this?  What’s in the box?  
Objective: Students will develop their language skills by reading, and listening to, a picture story. They will learn to ask and answer the question ‘Is it a …?’.  
15  A New Boy at School  A Letter from Peter  
Objective: Students will develop their language skills by reading, and listening to, a picture story. They will also revise colours and numbers, and learn to talk about their families.  
16  A New Boy at School  Where’s my dog?  
Objective: Students will develop their language skills by reading, and listening to, a picture story. They will also become familiar with some prepositions.  
17  My Family  Where’s the red kite?  
Objective: Students will develop their comprehension skills by reading and listening to a picture story. They will also practise the use of ‘in’, ‘on’ and ‘under’.  
18  My Family  My Family Tree  
Objective: Students will develop their comprehension skills by reading a text about the family. They will increase their vocabulary for family relationships and occupations, and they will learn to use ‘this’ and ‘that’.  
19  About People  That’s his cow!  
Objective: Students will develop their comprehension skills by reading a text about occupations. They will also learn about the possessive adjectives ‘his’, ‘her’ and ‘their’.  
20  About People  These are my feet.  
Objective: Students will develop their comprehension skills and vocabulary by reading a text about the parts of the body. They will practise using ‘this’ and ‘these’, and learn to form plurals.  
21  Animal Mania!  What animal is that? 

Objective: Students will develop their comprehension skills by reading a text about animals. Students will practise asking and answering questions, and they will revise colours and numbers.  
22  Animal Mania!  A Very Tall Giraffe  
Objective: Students will develop their comprehension skills by reading a text about animals in which more adjectives are used.  
23  We like to play games.  Holidays!  
Objective: Students will develop their comprehension skills by reading a picture story about fun activities to do in the holidays. Students will practise using ‘let’s’ and learn the days of the week.  
24  We like to play games.  What’s your favourite? 

Objective: Students will develop their comprehension skills by reading a picture story about activities they like to do. They will learn to talk about their preferences.  
25  Do you like hamburgers?  At a Café  
Objective: Students will develop their comprehension skills by reading a picture story about food preferences.  
26  Do you like hamburgers?  This is Bobby.  
Objective: Students will develop their comprehension skills by reading a picture story. They will also learn to ask questions about likes and dislikes. 
Denmark Year 1 Literacy
#  TOPIC  TITLE  

1  Punctuation  Sentence Endings  
Objective: To use fullstops, question marks, exclamation marks and capital letters correctly.  
2  Sentences  The Sentence  
Objective: To identify and use complete sentences.  
3  Capitalisation  Capital Letters 1  
Objective: To use capital letters correctly: to begin sentences, for proper nouns.  
4  Punctuation  Commas 1  
Objective: To use commas: to list, to make meaning clear, and when writing the date.  
5  Common Nouns  Common Nouns  
Objective: To show a common noun names an object or thing.  
6  Sentences  The Sentence  
Objective: To identify and use complete sentences.  
7  Parts of Speech Part h  Articles and Demonstratives  
Objective: To identify and use articles and demonstratives correctly.  
8  Verbs  Simple Verbs  
Objective: To identify and use verbs. To understand a verb can be: an action or doing word, a state of being or ownership.  
9  Common Nouns  Common Nouns  
Objective: To show a common noun names an object or thing.  
10  Pronouns  Pronouns  
Objective: To show a pronoun is used in place of a noun.  
11  Verbs  Simple Verbs  
Objective: To identify and use verbs. To understand a verb can be: an action or doing word, a state of being or ownership.  
12  Adjectives  Adjectives  
Objective: To show an adjective is a word that describes a noun.  
13  Adverbs  Adverbs  
Objective: To identify and use adverbs. To understand an adverb tells something about (modifies) a verb.  
14  It’s time to learn how to tell the time!  No school! It’s Sunday!  
Objective: Students will increase their vocabulary and develop their reading skills by reading a short text about daily routines.  
15  It’s time to learn how to tell the time!  Where are my clothes?  
Objective: Students will increase their vocabulary and develop their reading skills by reading a short text about items of clothing. They will learn about the prepositions – ‘on’, ‘under’, ‘in’.  
16  School and Play  I have lots of subjects! 

Objective: Students will practise reading, and saying words and simple sentences to describe school subjects and the days of the week.  
17  School and Play  On the Weekend  
Objective: Students will practise reading and recognising simple sentences about weekend activities.  
18  It’s Christmas time!  It’s time for Maths!  
Objective: Students will develop their comprehension skills by reading a short text in which quarter past, quarter to, 5 past, 5 to, 10 past and 10 to the hour are used.  
19  It’s Christmas time!  Festivals are fun!  
Objective: Students will develop their comprehension skills by reading a short text about Christmas and Chinese New Year.  
20  I walk in the summer.  The Seasons  
Objective: Students will develop their reading skills and practise new words to describe the seasons.  
21  I walk in the summer.  How do you go to school?  
Objective: Students will develop their reading skills and practise new words that describe modes of transport. They will also ask and answer questions about transport to different places.  
22  What’s the weather like today?  Have you got a ‘W’?  
Objective: Students will develop their comprehension skills by reading a text in which ‘have got’ is used. They will also revise the letters of the alphabet and learn some new ones.  
23  What’s the weather like today?  It’s a sunny day!  
Objective: Students will develop their comprehension skills by reading a story about the weather.  
24  What are you doing now?  Shhhh! Dad is sleeping!  
Objective: Students will develop their comprehension skills by reading a story in which the present continuous tense is used.  
25  What are you doing now?  We are having a picnic!  
Objective: Students will develop their comprehension skills by reading a story in which the present continuous tense is used to ask and answer questions.  
26  They’re usually in the lounge room.  Hide and Seek  
Objective: Students will develop their comprehension skills by reading a story about finding people.  
27  They’re usually in the lounge room.  An Unusual Day  
Objective: Students will develop their comprehension skills by reading a story in which the simple present and the continuous present tenses are used. They will also learn the little words that help to sequence a story.  
28  Left! Right! Let’s go!  Where’s the shop?  
Objective: Students will develop their comprehension skills by reading a story in which simple directions are given using the imperative.  
29  Left! Right! Let’s go!  Ladies and Gentlemen!  
Objective: Students will develop their comprehension skills by reading a story in which the present continuous tense is used to talk about a concert.  
30  Up, down and around we go!  Rollercoaster Ride  
Objective: Students will develop their comprehension skills by reading a story in which routes are described using the present continuous tense.  
31  Up, down and around we go!  Catch that car!  
Objective: Students will develop their comprehension skills by reading a story which focuses on street directions and places.  
32  Sentences  The Sentence  
Objective: To identify and use complete sentences.  
33  Common Errors  Common Errors in spelling and punctuation  
Objective: To identify and eliminate common errors.  
34  Spelling  Spelling  
Objective: To use the ‘Look, Say, Write’ method for learning spelling. Plus 300 spelling words.  
35  Basic Dictionary Use  Basic Dictionary Use  
Objective: To find words arranged alphabetically and identify word meanings in dictionaries.  
36  Capitalisation  Capital Letters 1  
Objective: To use capital letters correctly: to begin sentences, for proper nouns.  
37  Punctuation  Sentence Endings  
Objective: To use fullstops, question marks, exclamation marks and capital letters correctly. 
Denmark Year 2 Literacy
#  TOPIC  TITLE  

1  Punctuation  Commas 1  
Objective: To use commas: to list, to make meaning clear, and when writing the date.  
2  Capitalisation  Capital Letters 1  
Objective: To use capital letters correctly: to begin sentences, for proper nouns.  
3  Nouns  Proper Nouns  
Objective: To show a proper noun is used to name a person, place or a title.  
4  Parts of Speech Part b  Conjunctions  
Objective: To identify and use conjunctions correctly.  
5  Conjunctions – Sentences  Conjunctions – Sentences  
Objective: To use conjunctions to increase the variety of sentence structure in written expression.  
6  Common Nouns  Common Nouns  
Objective: To show a common noun names an object or thing.  
7  Nouns  Proper Nouns  
Objective: To show a proper noun is used to name a person, place or a title.  
8  Nouns  Collective and Abstract Nouns  
Objective: To identify and use collective and abstract nouns.  
9  Capitalisation  Capital Letters 1  
Objective: To use capital letters correctly: to begin sentences, for proper nouns.  
10  Spelling  Spelling  
Objective: To use the ‘Look, Say, Write’ method for learning spelling. Plus 300 spelling words.  
11  Spelling Skills  Syllabification  
Objective: To improve spelling by dividing words correctly into syllables.  
12  Prefixes  Prefixes  
Objective: The identify and use prefixes.  
13  Suffixes  Suffixes  
Objective: The identify and use suffixes.  
14  Spelling  Spelling  
Objective: To use the ‘Look, Say, Write’ method for learning spelling. Plus 300 spelling words.  
15  We’re very busy.  Fast Food  
Objective: Students will increase their vocabulary and develop their reading skills by reading what Peter and Chen say about fast food. They will also practise using the present tense, and asking and answering questions using ‘do’.  
16  We’re very busy.  On the farm 

Objective: Students will increase their vocabulary and develop their reading skills by reading, in which the present continuous tense is used.  
17  I can’t do that!  This is a great park!  
Objective: Students will increase their vocabulary and develop their reading skills by reading a story about a park. They will also become familiar with the use of ‘this’ and ‘these’ for things that are near and ‘that’ and ‘those’ for things that are far away.  
18  I can’t do that!  I can speak English!  
Objective: Students will increase their vocabulary and develop their reading skills by reading a short speech about what a person ‘can’ and ‘can’t’ do.  
19  Can I look at your new kite?  Can I help you?  
Objective: Students will increase their vocabulary and develop their reading skills by reading a text using ‘can’ and ‘can’t’ to make offers and requests.  
20  Can I look at your new kite?  I’ve got a secret!  
Objective: Students will increase their vocabulary and develop their reading skills by reading a text in which ‘has’ and ‘have got’ are used to talk about possessions.  
21  Oh, no! Not the Doctor!  Doctor, what have I got?  
Objective: Students will increase their vocabulary and develop their reading skills by reading a text about illnesses.  
22  Oh, no! Not the Doctor!  There is a zoo in Sydney!  
Objective: Students will increase their vocabulary and develop their reading skills by reading a text in which ‘There is’ and ‘There are’ in relation to zoo animals is used.  
23  It’s all in the future!  One World, One Dream  
Objective: Students will increase their vocabulary and develop their reading skills by reading a text in which ‘going to’ is used to talk about the future.  
24  It’s all in the future!  You are going to have a great time!  
Objective: Students will increase their vocabulary and develop their reading skills by reading a text in which ‘going to’ is used to make future plans.  
25  Maybe she’ll be funny!  My animal friends are wonderful!  
Objective: Students will develop their language skills by reading, and listening to, a picture story. They will revise adjectives that describe personality.  
26  Maybe she’ll be funny!  What will Fido do next?  
Objective: Students will develop their language skills by reading, and listening to, a picture story. They will also become familiar with the use of ‘will’ to express a future action.  
27  First we’ll see a big city.  Sydney: It’s special!  
Objective: Students will develop their language skills by reading, and listening to, a picture story. They will focus on the use of adjectives to describe cities.  
28  First we’ll see a big city.  Then we’ll eat it!  
Objective: Students will develop their comprehension skills by reading, and listening to, a picture story. They will also become familiar with the use of ‘will’ when describing a process.  
29  We need to take a metal pan.  What’s it made of? 

Objective: Students will develop their comprehension skills by reading, and listening to, a picture story about what things are made of. They will also revise prepositions of location.  
30  We need to take a metal pan.  They want to go camping.  
Objective: Students will develop their comprehension skills by reading, and listening to, a picture story about a camping trip. They will also become familiar with the terms ‘need to’ and ‘want to’.  
31  First we’ll go to the eighth floor.  Let’s make pancakes!  
Objective: Students will develop their language skills by reading, and listening to, an illustrated recipe. They will also revise words that help them tell a story – ‘First’, ‘Then’, ‘Next’, ‘After that’ and ‘Finally’.  
32  First we’ll go to the eighth floor.  Who’s shopping at Sunsets?  
Objective: Students will develop their language skills by reading, and listening to, a picture story about shopping in a department store. They will also revise some prepositions and learn some more in simple phrases.  
33  On Monday I’ll buy new jeans.  Whose Shoes?  
Objective: Students will develop their comprehension skills by reading, and listening to, a picture poem about shopping. They will also revise colours and pronouns.  
34  On Monday I’ll buy new jeans.  Chen’s Holiday Plans  
Objective: Students will develop their comprehension skills by reading a short story about Chen’s plans for his holidays. They will also practise verbs.  
35  Punctuation  Sentence Endings  
Objective: To use fullstops, question marks, exclamation marks and capital letters correctly.  
36  Basic Dictionary Use  Basic Dictionary Use  
Objective: To find words arranged alphabetically and identify word meanings in dictionaries.  
37  Capitalisation  Capital Letters 1  
Objective: To use capital letters correctly: to begin sentences, for proper nouns. 
Denmark Year 3 Literacy
#  TOPIC  TITLE  

1  Modal Verbs  Modal Verbs  
Objective: To identify and use modal verbs with the appropriate form of the main verb.  
2  Verbs  Simple Verbs  
Objective: To identify and use verbs. To understand a verb can be: an action or doing word, a state of being or ownership.  
3  Adverbs  Adverbs  
Objective: To identify and use adverbs. To understand an adverb tells something about (modifies) a verb.  
4  Common Nouns  Common Nouns  
Objective: To show a common noun names an object or thing.  
5  Nouns  Proper Nouns  
Objective: To show a proper noun is used to name a person, place or a title.  
6  Nouns  Collective and Abstract Nouns  
Objective: To identify and use collective and abstract nouns.  
7  Let’s hit the beach!  Modals of obligation  
Objective: Learn about modals of obligation.  
8  Let’s hit the beach!  Imperatives  
Objective: Learn how to use imperatives.  
9  Contractions  Contractions  
Objective: To identify and use contractions.  
10  Apostrophe – Possession  Apostrophe – Possession  
Objective: To use the apostrophe of possession correctly.  
11  Clauses  Clauses  
Objective: To identify and use clauses including adjectival, adverbial and noun clauses.  
12  Sentence Structure Part a  Subject and Predicate  
Objective: To identify the subject and predicate within a sentence and to understand they are the two main parts of a sentence.  
13  Thanks and goodbye  Time clauses  
Objective: Learn how to use time clauses.  
14  Verbs  Simple Verbs  
Objective: To identify and use verbs. To understand a verb can be: an action or doing word, a state of being or ownership.  
15  Verbs  Verbs – Tense  
Objective: To identify and use the correct tense of verbs: past, present and future.  
16  Simple and Compound Verbs  Simple and Compound Verbs  
Objective: To identify and use simple and compound verbs.  
17  Auxiliary Verbs  Auxiliary Verbs  
Objective: To identify and use auxiliary verbs within compound verbs.  
18  Regular and Irregular Verbs  Regular and Irregular Verbs  
Objective: To identify and use regular and irregular verbs in the present and past tense.  
19  Verbs – Infinitives  Verbs – Infinitives  
Objective: To identify and use the infinitive form of the verb.  
20  What’s Homestay?  Simple Present  
Objective: Learn the correct structure for the simple present.  
21  Setting off  Present perfect  
Objective: Learn the correct structure for the present perfect.  
22  Amazing Aussie animals  Present continuous  
Objective: Learn about the present continuous tense.  
23  Amazing Aussie animals  Past continuous  
Objective: Learn about the past continuous tense.  
24  Big day out!  The future with ‘will’ and ‘going to’  
Objective: Learn the uses of ‘will’ and ‘going to’ to talk about the future.  
25  Modal Verbs  Modal Verbs  
Objective: To identify and use modal verbs with the appropriate form of the main verb.  
26  Adverbs  Adverbs  
Objective: To identify and use adverbs. To understand an adverb tells something about (modifies) a verb.  
27  Amazing Aussie animals  Giving facts and opinions  
Objective: Present phrases that ask for and give opinions.  
28  Thanks and goodbye  Talking about feelings  
Objective: Present constructions for talking about feelings.  
29  What do you like to do?  Adverbs of frequency  
Objective: Learn about the past continuous tense.  
30  Spelling Skills  Spelling  
Objective: To correctly spell words after adding suffixes: ‘ing’, ‘ed’, ‘er’, ‘est’.  
31  Vowels and Consonants  Vowels and Consonants  
Objective: To identify and use vowels and consonants.  
32  Vowels  Vowels – Long and Short  
Objective: To identify long and short vowel sounds, and their use.  
33  Plurals  Plurals 1 – simple  
Objective: To form plurals (more than one) by adding ‘s’ and ‘es’ correctly.  
34  Plurals  Plurals 2 – special rules  
Objective: To form plurals with special rules: words ending in ‘y’ and ‘f’.  
35  Homonyms – Homophones and Homographs  Homonyms – Homophones and Homographs  
Objective: To identify and use correctly homonyms, both homophones and homographs.  
36  Spelling Skills  Spelling  
Objective: To correctly spell words after adding suffixes: ‘ing’, ‘ed’, ‘er’, ‘est’.  
37  What do you like to do?  Expressing likes and dislikes  
Objective: Present phrases used to express likes and dislikes.  
38  Other Places and Other Times  A New Penfriend  
Objective: Students will develop their reading comprehensions skills by reading a letter of introduction to a penfriend. They will also practise the present continuous tense and become familiar with vocabulary about different nationalities.  
39  Other Places and Other Times  Will we have robots?  
Objective: Students will develop their comprehension skills by reading a text in which the future tense is used.  
40  Commas 2  Commas 2  
Objective: To use commas: to separate places, to separate clauses within sentences, and when using direct speech.  
41  Colons and SemiColons  Colons and SemiColons  
Objective: To use colons and semicolons correctly.  
42  Homonyms – Homophones and Homographs  Homonyms – Homophones and Homographs  
Objective: To identify and use correctly homonyms, both homophones and homographs. 
Denmark Year 4 Literacy
#  TOPIC  TITLE  

1  Advanced Dictionary Use  Advanced Dictionary Use  
Objective: To use dictionaries by identifying all the information provided. To use a thesaurus.  
2  Plurals of Foreign Nouns  Plurals 5 – Foreign  
Objective: To form plurals of foreign nouns.  
3  Amazing Aussie animals  Giving facts and opinions  
Objective: Present phrases that ask for and give opinions.  
4  Thanks and goodbye  Talking about feelings  
Objective: Present constructions for talking about feelings.  
5  Pronouns  Pronouns  
Objective: To show a pronoun is used in place of a noun.  
6  Pronouns  Pronouns 2  
Objective: To recognise and use personal, possessive and relative pronouns.  
7  Parts of Speech Part b  Conjunctions  
Objective: To identify and use conjunctions correctly.  
8  Phrases  Phrases  
Objective: To identify and use phrases including adjectival and adverbial phrases.  
9  Conjunctions – Sentences  Conjunctions – Sentences  
Objective: To use conjunctions to increase the variety of sentence structure in written expression.  
10  Sentence Improvement  Sentence Improvement  
Objective: To construct expressive sentences by using adjectives, adverbs, phrases and clauses.  
11  BBQ Party!  Sequence markers  
Objective: Learn the words used in sequences or ordering.  
12  Punctuation Skills Part b  Quotation Marks  
Objective: To use quotation marks for direct speech.  
13  Parts of Speech Part a  Prepositions  
Objective: To identify and use prepositions correctly.  
14  Adverbs  Adverbs  
Objective: To identify and use adverbs. To understand an adverb tells something about (modifies) a verb.  
15  Phrases  Phrases  
Objective: To identify and use phrases including adjectival and adverbial phrases.  
16  Adjectives  Adjectives  
Objective: To show an adjective is a word that describes a noun.  
17  A new home  Prepositions of location  
Objective: Learn about prepositions of location.  
18  Here we are!  Adjectives  
Objective: Learn the use of adjectives.  
19  Punctuation Skills Part b  Quotation Marks  
Objective: To use quotation marks for direct speech.  
20  Parts of Speech Part a  Prepositions  
Objective: To identify and use prepositions correctly.  
21  Adverbs  Adverbs  
Objective: To identify and use adverbs. To understand an adverb tells something about (modifies) a verb.  
22  Phrases  Phrases  
Objective: To identify and use phrases including adjectival and adverbial phrases.  
23  A new home  Prepositions of location  
Objective: Learn about prepositions of location.  
24  Plurals of Foreign Nouns  Plurals 5 – Foreign  
Objective: To form plurals of foreign nouns.  
25  Advanced Dictionary Use  Advanced Dictionary Use  
Objective: To use dictionaries by identifying all the information provided. To use a thesaurus.  
26  Vowels  Vowels – Long and Short  
Objective: To identify long and short vowel sounds, and their use.  
27  Homonyms – Homophones and Homographs  Homonyms – Homophones and Homographs  
Objective: To identify and use correctly homonyms, both homophones and homographs.  
28  Common Errors  Common Errors in spelling and punctuation  
Objective: To identify and eliminate common errors.  
29  Adjectives  Adjectives  
Objective: To show an adjective is a word that describes a noun.  
30  Adverbs  Adverbs  
Objective: To identify and use adverbs. To understand an adverb tells something about (modifies) a verb.  
31  Adjectives  Adjectives – from Nouns and Verbs  
Objective: To create adjectives from nouns and verbs. E.g. China – Chinese  
32  Adjectives  Adjectives – Comparatives and Superlatives  
Objective: To identify and use comparative and superlative adjectives.  
33  Here we are!  Comparatives and superlatives  
Objective: Learn how to use comparatives and superlatives in English.  
34  Setting off  Questions  
Objective: Learn the correct structure for forming yes/no questions. Learn the correct structure for forming wh questions.  
35  Here we are!  Asking for repetition  
Objective: Learn how to ask someone to repeat something in English.  
36  A new home  Offers and requests  
Objective: Present the phrases used to make offers and requests.  
37  Amazing Aussie animals  Giving facts and opinions  
Objective: Present phrases that ask for and give opinions.  
38  There weren’t many …  There weren’t any flowers!  
Objective: Students will increase their vocabulary, develop their reading skills and practise using the simple past tense of the verb ‘to be’.  
39  There weren’t many …  A Shopping List  
Objective: Students will increase their vocabulary, develop their reading skills and practise asking questions using ‘How much …’ and ‘How many …’.  
40  It couldn’t be mine!  Uncle Bill said we could!  
Objective: Students will increase their vocabulary, develop their reading skills and practise using ‘could’ and ‘couldn’t’ to refer to past events.  
41  It couldn’t be mine!  The Riding Lesson  
Objective: Students will build vocabulary, answer comprehension questions and practise using possessive pronouns and adjectives.  
42  Clean up Australia!  Too much rubbish!  
Objective: Students will increase their vocabulary and reading comprehension skills. They will also practise using ‘too much’, ‘too many’ and ‘enough’.  
43  Clean up Australia!  Sports Report  
Objective: Students will increase their vocabulary and reading comprehension skills. They will also practise using the adverbs ‘well’ and ‘badly’.  
44  Friends all over the World  Now I can do it by myself.  
Objective: Students will increase their vocabulary and develop their reading skills. They will practise using ‘too much’, ‘too many’ and ‘enough’.  
45  Friends all over the World  A Letter to a Pen Pal  
Objective: Students will increase their vocabulary, develop their comprehension skills and practise using the simple present tense.  
46  What’s the problem?  What’s the matter?  
Objective: Students will read and comprehend a passage in which words are used to describe feelings.  
47  What’s the problem?  A School Outing  
Objective: Students will read and comprehend a notice. They will learn about the use of ‘should’ and ‘shouldn’t’.  
48  When I was Young  Life used to be different.  
Objective: Students will develop their comprehension skills by reading, and listening to, an interview. They will learn how to describe finished activities using ‘used to’.  
49  When I was Young  Have you tidied your room?  
Objective: Students will develop their comprehension skills by reading, and listening to, a rhyme. They will also learn the imperfect tense and its use.  
50  Space and Time  We’ve done our research. 

Objective: Students will develop their comprehension skills by reading, and listening to, a picture story. They will learn some irregular verbs in the present perfect tense.  
51  Space and Time  We’ve written a poem!  
Objective: Students will develop their comprehension skills by reading, and listening to, a rhyme. They will learn more irregular verbs in the present perfect tense.  
52  Choices and Places  A New Jacket  
Objective: Students will develop their comprehension skills by reading a text in which preferences are discussed and comparisons are made.  
53  Choices and Places  He has travelled a lot.  
Objective: Students will develop their comprehension skills by reading a text in which the present perfect and the simple past tenses are used.  
54  What’s the best way to do it?  A Text Message  
Objective: Students will develop their comprehension skills by reading a text which focuses on the use of ‘have to’ and adverbs of time.  
55  What’s the best way to do it?  What will we make?  
Objective: Students will develop their comprehension skills by reading a text in which the children discuss a project.  
56  Class Camp  Dear Parents, …  
Objective: Students will develop their comprehension skills by reading a letter which uses a variety of verb tenses.  
57  Class Camp  A Postcard from Kate  
Objective: Students will develop their comprehension skills by reading an informal letter in which the simple past tense of the verb is used.  
58  Commas 2  Commas 2  
Objective: To use commas: to separate places, to separate clauses within sentences, and when using direct speech.  
59  Sentence Improvement  Sentence Improvement  
Objective: To construct expressive sentences by using adjectives, adverbs, phrases and clauses.  
60  Vocabulary Development  Vocabulary  
Objective: To identify and use better words than ‘got’ and ‘said’.  
61  Parts of Speech Part a  Prepositions  
Objective: To identify and use prepositions correctly.  
62  Adverbs  Adverbs  
Objective: To identify and use adverbs. To understand an adverb tells something about (modifies) a verb.  
63  Phrases  Phrases  
Objective: To identify and use phrases including adjectival and adverbial phrases.  
64  Adjectives  Adjectives  
Objective: To show an adjective is a word that describes a noun.  
65  Variety of Expression  Sentence Construction  
Objective: To construct expressive and precise sentences to improve meaning.  
66  Spelling Skills  Word Usage  
Objective: To correctly choose words with similar spelling, sound and meaning.  
67  Colons and SemiColons  Colons and SemiColons  
Objective: To use colons and semicolons correctly.  
68  Capitalisation  Capital Letters 1  
Objective: To use capital letters correctly: to begin sentences, for proper nouns.  
69  Punctuation  Sentence Endings  
Objective: To use fullstops, question marks, exclamation marks and capital letters correctly.  
70  Capitalisation  Capital Letters 2  
Objective: To use capital letters correctly: in titles and letters.  
71  Punctuation  Commas 1  
Objective: To use commas: to list, to make meaning clear, and when writing the date.  
72  Common Errors  Common Errors in spelling and punctuation  
Objective: To identify and eliminate common errors.  
73  Common Errors  Common Errors in writing  
Objective: To identify and eliminate common errors.  
74  Common Errors  Common Errors in verb usage, spelling and punctuation  
Objective: To identify and eliminate common errors.  
75  Spelling Skills  Word Usage  
Objective: To correctly choose words with similar spelling, sound and meaning.  
76  Vocabulary Development  Vocabulary  
Objective: To identify and use better words than ‘got’ and ‘said’.  
77  Sentence Improvement  Sentence Improvement  
Objective: To construct expressive sentences by using adjectives, adverbs, phrases and clauses. 
Denmark Year 5 Literacy
#  TOPIC  TITLE  

1  Advanced Dictionary Use  Advanced Dictionary Use  
Objective: To use dictionaries by identifying all the information provided. To use a thesaurus.  
2  Nouns  Proper Nouns  
Objective: To show a proper noun is used to name a person, place or a title.  
3  Apostrophe – Possession  Apostrophe – Possession  
Objective: To use the apostrophe of possession correctly.  
4  Clauses  Clauses  
Objective: To identify and use clauses including adjectival, adverbial and noun clauses.  
5  Sentence Improvement  Sentence Improvement  
Objective: To construct expressive sentences by using adjectives, adverbs, phrases and clauses.  
6  Variety of Expression  Sentence Construction  
Objective: To construct expressive and precise sentences to improve meaning.  
7  Sentence Structure Part a  Subject and Predicate  
Objective: To identify the subject and predicate within a sentence and to understand they are the two main parts of a sentence.  
8  Adjectives  Adjectives  
Objective: To show an adjective is a word that describes a noun.  
9  Phrases  Phrases  
Objective: To identify and use phrases including adjectival and adverbial phrases.  
10  Sentence Improvement  Sentence Improvement  
Objective: To construct expressive sentences by using adjectives, adverbs, phrases and clauses.  
11  Variety of Expression  Sentence Construction  
Objective: To construct expressive and precise sentences to improve meaning.  
12  Thanks and goodbye  Adjectives  
Objective: Learn the use of adjectives.  
13  Prefixes  Prefixes  
Objective: The identify and use prefixes.  
14  Suffixes  Suffixes  
Objective: The identify and use suffixes.  
15  Advanced Dictionary Use  Advanced Dictionary Use  
Objective: To use dictionaries by identifying all the information provided. To use a thesaurus.  
16  Plurals  Plurals 3 – Unusual  
Objective: To create unusual plurals: for words ending in ‘o’; by changing the vowels or by adding letters.  
17  Plurals  Plurals 4 – Unusual  
Objective: To use nouns whose singular and plural forms are the same. To use compound noun plurals.  
18  Plurals of Foreign Nouns  Plurals 5 – Foreign  
Objective: To form plurals of foreign nouns.  
19  Similes and Metaphors  Similes and Metaphors  
Objective: To identify and use similes and metaphors.  
20  Figurative Language  Symbolism and Personification  
Objective: To identify, and make use of, symbolism and personification.  
21  Figurative Language  Onomatopoeia, Assonance and Alliteration  
Objective: To identify, and make use of, onomatopoeia, assonance, and alliteration.  
22  Review of Figures of Speech  Review of Figures of Speech  
Objective: To identify multiple uses of figures of speech within writing.  
23  Similes and Metaphors  Similes and Metaphors  
Objective: To identify and use similes and metaphors.  
24  Figurative Language  Symbolism and Personification  
Objective: To identify, and make use of, symbolism and personification.  
25  Figurative Language  Onomatopoeia, Assonance and Alliteration  
Objective: To identify, and make use of, onomatopoeia, assonance, and alliteration.  
26  Review of Figures of Speech  Review of Figures of Speech  
Objective: To identify multiple uses of figures of speech within writing.  
27  Verbs – Active and Passive voice  Verbs – Active and Passive voice  
Objective: To identify and use active and passive voice.  
28  There’s a …  It’s famous! 

Objective: Students will increase their vocabulary, develop their reading skills and practise using the verb ‘to be’.  
29  There’s a …  There are lots of things in my town.  
Objective: Students will increase their reading comprehension skills and their vocabulary. They will also become familiar with the use of ‘There is …’ and ‘There are …’.  
30  Hobbies and Festivals  Collecting things  
Objective: Students will develop their reading skills and increase their vocabulary. They will learn the verb ‘to have’. They will also learn to use ‘this’ and ‘these’ correctly.  
31  Hobbies and Festivals  My favourite festival  
Objective: Students will build vocabulary; begin to use conjunctions ‘and’, ‘but’ or ‘because’.  
32  What can you do?  Letter to a penfriend  
Objective: Students will be able to read and understand an informal letter and use the present tense of ‘can’ and ‘can’t’.  
33  What can you do?  Have you got everything?  
Objective: Students will read and comprehend a written text using ‘have’, ‘haven’t got’, ‘but’ or ‘and’.  
34  A visit to the Zoo  About Koalas  
Objective: Students will be able to answer questions about the text, identify the target language point ‘like’ + the infinitive) and distinguish between simple facts and opinions.  
35  A visit to the Zoo  I’m a zookeeper.  
Objective: Students will be able to answer comprehension questions on reading, increase their vocabulary and use the frequency adverbs, ‘always’, ‘sometimes’, ‘often’ and ‘never’.  
36  What do you want to do?  Big Dreams  
Objective: Students will be able to answer comprehension questions, increase their vocabulary and be able to use ‘want’ + the infinitive in positive and negative sentences, and in a question.  
37  What do you want to do?  Fruit Bowl  
Objective: Students will be able to read and understand the text, to answer questions and to notice the use of the imperative form.  
38  It’s going to be fun!  It’s going to be fantastic!  
Objective: Students will develop their comprehension skills by reading, and listening to, a story. They will learn how to talk about the future using the verb ‘to go + the infinitive’.  
39  It’s going to be fun!  What’s on the menu?  
Objective: Students will develop their comprehension skills by reading various menus. They will also learn to ask questions politely.  
40  We are all doing things!  I’m having a great time!  
Objective: Students will develop their comprehension skills by reading a letter which focuses on the use of the present continuous tense.  
41  We are all doing things!  Who can help me?  
Objective: Students will develop their comprehension skills by reading a story in which requests for help are made.  
42  To Australia and Back!  Getting There! 

Objective: Students will develop their comprehension skills by reading a text about travel plans. They will also learn about coordinate conjunctions.  
43  To Australia and Back!  I came back!  
Objective: Students will develop their comprehension skills by reading a text in which Chen talks about going home to China. They will also revise the simple past tense.  
44  Famous People  Bruce Lee  
Objective: Students will develop their comprehension skills by reading a text about Bruce Lee. They will also practise the use of the simple past tense and learn more irregular verbs.  
45  Famous People  Alexander Bell  
Objective: Students will develop their comprehension skills by reading a text about Alexander Bell. They will also learn how to use ‘could’ and ‘couldn’t’, and review questions using ‘Wh’ words.  
46  Finding Buster!  Finding Buster! – A Movie Review  
Objective: Students will develop their reading comprehension skills and increase their vocabulary by reading a movie review. They will also learn how to use the conjunction ‘because’ to answer ‘why’ questions.  
47  Finding Buster!  I’m going to be busy!  
Objective: Students will develop their reading comprehension skills by reading a story about plans for the weekend. They will revise the use of the verb ‘to go’ in the present tense + the infinitive to talk about the future.  
48  Mnemonics  Spelling – Mnemonics  
Objective: To identify and use mnemonics to assist in correct spelling.  
49  Essay Writing 2  Essay Writing 2  
Objective: To develop and write essays.  
50  Capitalisation  Capital Letters 1  
Objective: To use capital letters correctly: to begin sentences, for proper nouns.  
51  Punctuation  Sentence Endings  
Objective: To use fullstops, question marks, exclamation marks and capital letters correctly.  
52  Capitalisation  Capital Letters 2  
Objective: To use capital letters correctly: in titles and letters.  
53  Punctuation  Commas 1  
Objective: To use commas: to list, to make meaning clear, and when writing the date.  
54  Common Errors  Common Errors in spelling and punctuation  
Objective: To identify and eliminate common errors.  
55  Common Errors  Common Errors in writing  
Objective: To identify and eliminate common errors.  
56  Common Errors  Common Errors in verb usage, spelling and punctuation  
Objective: To identify and eliminate common errors.  
57  Spelling Skills  Word Usage  
Objective: To correctly choose words with similar spelling, sound and meaning.  
58  Vocabulary Development  Vocabulary  
Objective: To identify and use better words than ‘got’ and ‘said’.  
59  Sentence Improvement  Sentence Improvement  
Objective: To construct expressive sentences by using adjectives, adverbs, phrases and clauses.  
60  Commas 2  Commas 2  
Objective: To use commas: to separate places, to separate clauses within sentences, and when using direct speech.  
61  Parts of Speech Part b  Conjunctions  
Objective: To identify and use conjunctions correctly.  
62  Conjunctions – Sentences  Conjunctions – Sentences  
Objective: To use conjunctions to increase the variety of sentence structure in written expression.  
63  Verbs – Active and Passive voice  Verbs – Active and Passive voice  
Objective: To identify and use active and passive voice.  
64  Variety of Expression  Sentence Construction  
Objective: To construct expressive and precise sentences to improve meaning. 
Denmark Year 6 Literacy
#  TOPIC  TITLE  

1  Pronouns  Pronouns  
Objective: To show a pronoun is used in place of a noun.  
2  Pronouns  Pronouns 2  
Objective: To recognise and use personal, possessive and relative pronouns.  
3  Punctuation  Commas 1  
Objective: To use commas: to list, to make meaning clear, and when writing the date.  
4  Commas 2  Commas 2  
Objective: To use commas: to separate places, to separate clauses within sentences, and when using direct speech.  
5  Clauses  Clauses  
Objective: To identify and use clauses including adjectival, adverbial and noun clauses.  
6  Mass and Count Nouns  Determiners  
Objective: To identify and use determiners correctly with mass and count nouns.  
7  Verbs  Verbs – Tense  
Objective: To identify and use the correct tense of verbs: past, present and future.  
8  Verb tense – Compound  Verb tense – Compound  
Objective: To identify and use ‘to be’ and ‘to have’ with the appropriate participle of the main verb.  
9  Spelling Skills  Spelling  
Objective: To correctly spell words after adding suffixes: ‘ing’, ‘ed’, ‘er’, ‘est’.  
10  Advanced Dictionary Use  Advanced Dictionary Use  
Objective: To use dictionaries by identifying all the information provided. To use a thesaurus.  
11  Prefixes  Prefixes  
Objective: The identify and use prefixes.  
12  Suffixes  Suffixes  
Objective: The identify and use suffixes.  
13  Mnemonics  Spelling – Mnemonics  
Objective: To identify and use mnemonics to assist in correct spelling.  
14  Spelling Skills  Syllabification  
Objective: To improve spelling by dividing words correctly into syllables.  
15  Adjectives  Adjectives  
Objective: To show an adjective is a word that describes a noun.  
16  Adverbs  Adverbs  
Objective: To identify and use adverbs. To understand an adverb tells something about (modifies) a verb.  
17  Modal Verbs  Modal Verbs  
Objective: To identify and use modal verbs with the appropriate form of the main verb.  
18  Verbs – Active and Passive voice  Verbs – Active and Passive voice  
Objective: To identify and use active and passive voice.  
19  Gerunds  Gerunds  
Objective: To identify and use gerunds.  
20  Similes and Metaphors  Similes and Metaphors  
Objective: To identify and use similes and metaphors.  
21  Participles – as Verbs and Adjectives  Participles – as Verbs and Adjectives  
Objective: To identify and use participles as verbs or adjectives as indicators of continuing action.  
22  Verbs – Active and Passive voice  Verbs – Active and Passive voice  
Objective: To identify and use active and passive voice.  
23  Mnemonics  Spelling – Mnemonics  
Objective: To identify and use mnemonics to assist in correct spelling.  
24  Essay Writing 2  Essay Writing 2  
Objective: To develop and write essays.  
25  Adjectives  Adjectives  
Objective: To show an adjective is a word that describes a noun.  
26  Adverbs  Adverbs  
Objective: To identify and use adverbs. To understand an adverb tells something about (modifies) a verb.  
27  Similes and Metaphors  Similes and Metaphors  
Objective: To identify and use similes and metaphors.  
28  Figurative Language  Symbolism and Personification  
Objective: To identify, and make use of, symbolism and personification.  
29  Figurative Language  Onomatopoeia, Assonance and Alliteration  
Objective: To identify, and make use of, onomatopoeia, assonance, and alliteration.  
30  Spelling Skills  Word Usage  
Objective: To correctly choose words with similar spelling, sound and meaning.  
31  Review of Figures of Speech  Review of Figures of Speech  
Objective: To identify multiple uses of figures of speech within writing.  
32  Have you met?  Hello!  
Objective: Use the present tense verb to be (am, is and are) correctly in written and spoken work. Answer comprehension questions and apply am, is and are correctly.  
33  Have you met?  The world in a classroom! 

Objective: At the end of this lesson, students will have learnt how to ask a question in English, and how to use the definite and indefinite articles.  
34  Modal Verbs  Modal Verbs  
Objective: To identify and use modal verbs with the appropriate form of the main verb.  
35  Transitive and Intransitive Verbs  Transitive and Intransitive Verbs  
Objective: To identify and use transitive and intransitive verbs.  
36  Case – Nouns and Pronouns  Case – Nouns, Pronouns and Possessive Adjectives  
Objective: To identify the case of nouns and pronouns.  
37  Participles – as Verbs and Adjectives  Participles – as Verbs and Adjectives  
Objective: To identify and use participles as verbs or adjectives as indicators of continuing action.  
38  Verbs  Verbs – Tense  
Objective: To identify and use the correct tense of verbs: past, present and future.  
39  Conjunctions – Sentences  Conjunctions – Sentences  
Objective: To use conjunctions to increase the variety of sentence structure in written expression.  
40  Sentence Improvement  Sentence Improvement  
Objective: To construct expressive sentences by using adjectives, adverbs, phrases and clauses.  
41  Variety of Expression  Sentence Construction  
Objective: To construct expressive and precise sentences to improve meaning.  
42  Review of Figures of Speech  Review of Figures of Speech  
Objective: To identify multiple uses of figures of speech within writing. 
Denmark Year 7 Literacy
#  TOPIC  TITLE  

1  Mnemonics  Spelling – Mnemonics  
Objective: To identify and use mnemonics to assist in correct spelling.  
2  Essay Writing 2  Essay Writing 2  
Objective: To develop and write essays.  
3  Phrases  Phrases  
Objective: To identify and use phrases including adjectival and adverbial phrases.  
4  Clauses  Clauses  
Objective: To identify and use clauses including adjectival, adverbial and noun clauses.  
5  Parts of Speech Part a  Prepositions  
Objective: To identify and use prepositions correctly.  
6  Parts of Speech Part b  Conjunctions  
Objective: To identify and use conjunctions correctly.  
7  Conjunctions – Sentences  Conjunctions – Sentences  
Objective: To use conjunctions to increase the variety of sentence structure in written expression.  
8  Sentence Improvement  Sentence Improvement  
Objective: To construct expressive sentences by using adjectives, adverbs, phrases and clauses.  
9  Variety of Expression  Sentence Construction  
Objective: To construct expressive and precise sentences to improve meaning.  
10  Commas 2  Commas 2  
Objective: To use commas: to separate places, to separate clauses within sentences, and when using direct speech.  
11  Punctuation Skills Part b  Quotation Marks  
Objective: To use quotation marks for direct speech.  
12  Colons and SemiColons  Colons and SemiColons  
Objective: To use colons and semicolons correctly.  
13  Apostrophe – Possession  Apostrophe – Possession  
Objective: To use the apostrophe of possession correctly.  
14  Punctuation  Punctuation – Various  
Objective: To use hyphens, dashes, apostrophes, quotation marks, parentheses and brackets correctly.  
15  Interjections  Interjections  
Objective: To identify and use interjections correctly.  
16  Clauses  Clauses  
Objective: To identify and use clauses including adjectival, adverbial and noun clauses.  
17  Sentence Structure Part a  Subject and Predicate  
Objective: To identify the subject and predicate within a sentence and to understand they are the two main parts of a sentence.  
18  Modal Verbs  Modal Verbs  
Objective: To identify and use modal verbs with the appropriate form of the main verb.  
19  Adjectives  Adjectives  
Objective: To show an adjective is a word that describes a noun.  
20  Adverbs  Adverbs  
Objective: To identify and use adverbs. To understand an adverb tells something about (modifies) a verb.  
21  Big day out!  First and second conditionals  
Objective: Learn the use of first conditionals. Learn the use of second conditionals.  
22  Let’s hit the beach!  Modals of obligation  
Objective: Learn about modals of obligation.  
23  Let’s hit the beach!  Imperatives  
Objective: Learn how to use imperatives.  
24  Spelling Skills  Spelling  
Objective: To correctly spell words after adding suffixes: ‘ing’, ‘ed’, ‘er’, ‘est’.  
25  Prefixes  Prefixes  
Objective: The identify and use prefixes.  
26  Suffixes  Suffixes  
Objective: The identify and use suffixes.  
27  Advanced Dictionary Use  Advanced Dictionary Use  
Objective: To use dictionaries by identifying all the information provided. To use a thesaurus.  
28  Conjunctions – Sentences  Conjunctions – Sentences  
Objective: To use conjunctions to increase the variety of sentence structure in written expression.  
29  Sentence Improvement  Sentence Improvement  
Objective: To construct expressive sentences by using adjectives, adverbs, phrases and clauses.  
30  Variety of Expression  Sentence Construction  
Objective: To construct expressive and precise sentences to improve meaning.  
31  Verbs  Verbs – Tense  
Objective: To identify and use the correct tense of verbs: past, present and future. 
Denmark Year 8 Literacy
#  TOPIC  TITLE  

1  Conjunctions – Sentences  Conjunctions – Sentences  
Objective: To use conjunctions to increase the variety of sentence structure in written expression.  
2  Sentence Improvement  Sentence Improvement  
Objective: To construct expressive sentences by using adjectives, adverbs, phrases and clauses.  
3  Transitive and Intransitive Verbs  Transitive and Intransitive Verbs  
Objective: To identify and use transitive and intransitive verbs.  
4  Case – Nouns and Pronouns  Case – Nouns, Pronouns and Possessive Adjectives  
Objective: To identify the case of nouns and pronouns.  
5  Variety of Expression  Sentence Construction  
Objective: To construct expressive and precise sentences to improve meaning.  
6  Punctuation  Punctuation – Various  
Objective: To use hyphens, dashes, apostrophes, quotation marks, parentheses and brackets correctly.  
7  Colons and SemiColons  Colons and SemiColons  
Objective: To use colons and semicolons correctly.  
8  Punctuation  Punctuation – Various  
Objective: To use hyphens, dashes, apostrophes, quotation marks, parentheses and brackets correctly.  
9  Commas 2  Commas 2  
Objective: To use commas: to separate places, to separate clauses within sentences, and when using direct speech.  
10  Punctuation Skills Part b  Quotation Marks  
Objective: To use quotation marks for direct speech.  
11  Phrases  Phrases  
Objective: To identify and use phrases including adjectival and adverbial phrases.  
12  Clauses  Clauses  
Objective: To identify and use clauses including adjectival, adverbial and noun clauses.  
13  Sentence Improvement  Sentence Improvement  
Objective: To construct expressive sentences by using adjectives, adverbs, phrases and clauses.  
14  Transitive and Intransitive Verbs  Transitive and Intransitive Verbs  
Objective: To identify and use transitive and intransitive verbs.  
15  Case – Nouns and Pronouns  Case – Nouns, Pronouns and Possessive Adjectives  
Objective: To identify the case of nouns and pronouns.  
16  Variety of Expression  Sentence Construction  
Objective: To construct expressive and precise sentences to improve meaning.  
17  Verbs – Active and Passive voice  Verbs – Active and Passive voice  
Objective: To identify and use active and passive voice.  
18  Review of Figures of Speech  Review of Figures of Speech  
Objective: To identify multiple uses of figures of speech within writing.  
19  Advanced Dictionary Use  Advanced Dictionary Use  
Objective: To use dictionaries by identifying all the information provided. To use a thesaurus.  
20  Plurals  Plurals 1 – simple  
Objective: To form plurals (more than one) by adding ‘s’ and ‘es’ correctly.  
21  Plurals  Plurals 2 – special rules  
Objective: To form plurals with special rules: words ending in ‘y’ and ‘f’.  
22  Plurals  Plurals 3 – Unusual  
Objective: To create unusual plurals: for words ending in ‘o’; by changing the vowels or by adding letters.  
23  Plurals  Plurals 4 – Unusual  
Objective: To use nouns whose singular and plural forms are the same. To use compound noun plurals.  
24  Plurals of Foreign Nouns  Plurals 5 – Foreign  
Objective: To form plurals of foreign nouns.  
25  Spelling Skills  Spelling  
Objective: To correctly spell words after adding suffixes: ‘ing’, ‘ed’, ‘er’, ‘est’.  
26  Prefixes  Prefixes  
Objective: The identify and use prefixes.  
27  Suffixes  Suffixes  
Objective: The identify and use suffixes.  
28  Sentence Improvement  Sentence Improvement  
Objective: To construct expressive sentences by using adjectives, adverbs, phrases and clauses.  
29  Variety of Expression  Sentence Construction  
Objective: To construct expressive and precise sentences to improve meaning.  
30  Similes and Metaphors  Similes and Metaphors  
Objective: To identify and use similes and metaphors.  
31  Figurative Language  Symbolism and Personification  
Objective: To identify, and make use of, symbolism and personification.  
32  Figurative Language  Onomatopoeia, Assonance and Alliteration  
Objective: To identify, and make use of, onomatopoeia, assonance, and alliteration.  
33  Review of Figures of Speech  Review of Figures of Speech  
Objective: To identify multiple uses of figures of speech within writing.  
34  Advanced Dictionary Use  Advanced Dictionary Use  
Objective: To use dictionaries by identifying all the information provided. To use a thesaurus.  
35  Antonyms and Synonyms  Antonyms and Synonyms  
Objective: To identify and use antonyms and synonyms.  
36  Essay Writing 2  Essay Writing 2  
Objective: To develop and write essays.  
37  Verbs  Verbs – Tense  
Objective: To identify and use the correct tense of verbs: past, present and future.  
38  Conjunctions – Sentences  Conjunctions – Sentences  
Objective: To use conjunctions to increase the variety of sentence structure in written expression. 
Denmark Year 9 Literacy
#  TOPIC  TITLE  

1  Similes and Metaphors  Similes and Metaphors  
Objective: To identify and use similes and metaphors.  
2  Figurative Language  Symbolism and Personification  
Objective: To identify, and make use of, symbolism and personification.  
3  Figurative Language  Onomatopoeia, Assonance and Alliteration  
Objective: To identify, and make use of, onomatopoeia, assonance, and alliteration.  
4  Review of Figures of Speech  Review of Figures of Speech  
Objective: To identify multiple uses of figures of speech within writing.  
5  Conjunctions – Sentences  Conjunctions – Sentences  
Objective: To use conjunctions to increase the variety of sentence structure in written expression.  
6  Big day out!  First and second conditionals  
Objective: Learn the use of first conditionals. Learn the use of second conditionals.  
7  BBQ Party!  Sequence markers  
Objective: Learn the words used in sequences or ordering.  
8  Mass and Count Nouns  Determiners  
Objective: To identify and use determiners correctly with mass and count nouns.  
9  Let’s hit the beach!  Modals of obligation  
Objective: Learn about modals of obligation.  
10  Let’s hit the beach!  Imperatives  
Objective: Learn how to use imperatives.  
11  Colons and SemiColons  Colons and SemiColons  
Objective: To use colons and semicolons correctly.  
12  Sentence Improvement  Sentence Improvement  
Objective: To construct expressive sentences by using adjectives, adverbs, phrases and clauses.  
13  Variety of Expression  Sentence Construction  
Objective: To construct expressive and precise sentences to improve meaning.  
14  Clauses  Clauses  
Objective: To identify and use clauses including adjectival, adverbial and noun clauses.  
15  Similes and Metaphors  Similes and Metaphors  
Objective: To identify and use similes and metaphors.  
16  Figurative Language  Symbolism and Personification  
Objective: To identify, and make use of, symbolism and personification.  
17  Figurative Language  Onomatopoeia, Assonance and Alliteration  
Objective: To identify, and make use of, onomatopoeia, assonance, and alliteration.  
18  Review of Figures of Speech  Review of Figures of Speech  
Objective: To identify multiple uses of figures of speech within writing.  
19  Similes and Metaphors  Similes and Metaphors  
Objective: To identify and use similes and metaphors.  
20  Figurative Language  Symbolism and Personification  
Objective: To identify, and make use of, symbolism and personification.  
21  Similes and Metaphors  Similes and Metaphors  
Objective: To identify and use similes and metaphors.  
22  Figurative Language  Symbolism and Personification  
Objective: To identify, and make use of, symbolism and personification.  
23  Figurative Language  Onomatopoeia, Assonance and Alliteration  
Objective: To identify, and make use of, onomatopoeia, assonance, and alliteration.  
24  Review of Figures of Speech  Review of Figures of Speech  
Objective: To identify multiple uses of figures of speech within writing.  
25  Similes and Metaphors  Similes and Metaphors  
Objective: To identify and use similes and metaphors.  
26  Figurative Language  Symbolism and Personification  
Objective: To identify, and make use of, symbolism and personification.  
27  Similes and Metaphors  Similes and Metaphors  
Objective: To identify and use similes and metaphors.  
28  Figurative Language  Symbolism and Personification  
Objective: To identify, and make use of, symbolism and personification.  
29  Essay Writing 2  Essay Writing 2  
Objective: To develop and write essays.  
30  Verbs  Verbs – Tense  
Objective: To identify and use the correct tense of verbs: past, present and future.  
31  Conjunctions – Sentences  Conjunctions – Sentences  
Objective: To use conjunctions to increase the variety of sentence structure in written expression.  
32  Sentence Improvement  Sentence Improvement  
Objective: To construct expressive sentences by using adjectives, adverbs, phrases and clauses.  
33  Variety of Expression  Sentence Construction  
Objective: To construct expressive and precise sentences to improve meaning.  
34  Review of Figures of Speech  Review of Figures of Speech  
Objective: To identify multiple uses of figures of speech within writing. 
Denmark Year 10 Literacy
#  TOPIC  TITLE  

1  Pronouns  Pronouns 2  
Objective: To recognise and use personal, possessive and relative pronouns.  
2  Essay Writing 2  Essay Writing 2  
Objective: To develop and write essays.  
3  Verbs – Active and Passive voice  Verbs – Active and Passive voice  
Objective: To identify and use active and passive voice.  
4  Sentence Improvement  Sentence Improvement  
Objective: To construct expressive sentences by using adjectives, adverbs, phrases and clauses.  
5  Clauses  Clauses  
Objective: To identify and use clauses including adjectival, adverbial and noun clauses.  
6  Nouns  Collective and Abstract Nouns  
Objective: To identify and use collective and abstract nouns.  
7  Figurative Language  Symbolism and Personification  
Objective: To identify, and make use of, symbolism and personification.  
8  Similes and Metaphors  Similes and Metaphors  
Objective: To identify and use similes and metaphors.  
9  Figurative Language  Symbolism and Personification  
Objective: To identify, and make use of, symbolism and personification.  
10  Figurative Language  Onomatopoeia, Assonance and Alliteration  
Objective: To identify, and make use of, onomatopoeia, assonance, and alliteration.  
11  Review of Figures of Speech  Review of Figures of Speech  
Objective: To identify multiple uses of figures of speech within writing.  
12  Essay Writing 2  Essay Writing 2  
Objective: To develop and write essays.  
13  Essay Writing 2  Essay Writing 2  
Objective: To develop and write essays.  
14  Verbs  Verbs – Tense  
Objective: To identify and use the correct tense of verbs: past, present and future.  
15  Conjunctions – Sentences  Conjunctions – Sentences  
Objective: To use conjunctions to increase the variety of sentence structure in written expression.  
16  Sentence Improvement  Sentence Improvement  
Objective: To construct expressive sentences by using adjectives, adverbs, phrases and clauses.  
17  Variety of Expression  Sentence Construction  
Objective: To construct expressive and precise sentences to improve meaning.  
18  Review of Figures of Speech  Review of Figures of Speech  
Objective: To identify multiple uses of figures of speech within writing. 