| 1 |
Study Plan |
Study plan – Grade 11 – Maths at Work 2/3 |
| Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision. |
| 2 |
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. |
| 3 |
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. |
| 4 |
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. |
| 5 |
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. |
| 6 |
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. |
| 7 |
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. |
| 8 |
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 two-digit divisor and show any remainders as a fraction. |
| 9 |
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. |
| 10 |
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. |
| 11 |
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. |
| 12 |
Decimals |
Multiplying decimals by whole numbers |
| Objective: On completion of the lesson the student will be able to multiply decimals by whole numbers. |
| 13 |
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. |
| 14 |
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. |
| 15 |
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. |
| 16 |
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. |
| 17 |
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. |
| 18 |
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. |
| 19 |
Time, 24-hour |
24 hour time |
| Objective: On completion of the lesson the student will be able to: tell the time accurately using twenty-four hour time, change the time from am and pm time to twenty-four hour time, and change the time from twenty-four hour time to am and pm time. |
| 20 |
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. |
| 21 |
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. |
| 22 |
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 |
| 23 |
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. |
| 24 |
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. |
| 25 |
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. |
| 26 |
Fractions |
Multiplying fractions by whole numbers |
| Objective: On completion of the lesson the student will be able to multiply simple fractions by whole numbers. |
| 27 |
Fractions |
Fractions of whole numbers |
| Objective: On completion of the lesson the student will be able to calculate unit fractions of a collection. |
| 28 |
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). |
| 29 |
Fractions |
Dividing fractions |
| Objective: On completion of the lesson the student will be able to divide fractions. |
| 30 |
Fractions |
Dividing mixed numbers (mixed numerals) |
| Objective: On completion of the lesson the student will be able to divide mixed numbers (mixed numerals). |
| 31 |
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. |
| 32 |
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. |
| 33 |
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. |
| 34 |
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. |
| 35 |
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. |
| 36 |
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. |
| 37 |
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. |
| 38 |
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. |
| 39 |
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. |
| 40 |
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. |
| 41 |
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. |
| 42 |
Percentages |
Calculating Percentages and Fractions of Quantities |
| Objective: To find percentages and fractions of quantities and solve problems with percentages |
| 43 |
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. |
| 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 |
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. |
| 49 |
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. |
| 50 |
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. |
| 51 |
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. |
| 52 |
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. |
| 53 |
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. |
| 54 |
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. |
| 55 |
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. |
| 56 |
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 |
| 57 |
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. |
| 58 |
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. |
| 59 |
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. |
| 60 |
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. |
| 61 |
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. |
| 62 |
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. |
| 63 |
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. |
| 64 |
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. |
| 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 |
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. |
| 70 |
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. |
| 71 |
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. |
| 72 |
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. |
| 73 |
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. |
| 74 |
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. |
| 75 |
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. |
| 76 |
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. |
| 77 |
Money |
Problems involving money |
| Objective: On completion of the lesson the student will be able to solve problems with money. |
| 78 |
Length |
Problems with length. |
| Objective: On completion of the lesson the student will be able to solve problems with length. |
| 79 |
Mass |
Problems with mass. |
| Objective: On completion of the lesson the student will be able to solve problems with mass. |
| 80 |
Area |
Problems with area. |
| Objective: On completion of the lesson the student will be able to solve problems with area. |
| 81 |
Volume/capacity |
Problems with volume/capacity. |
| Objective: Problem Solving: problems involving volume/capacity |
| 82 |
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. |
| 83 |
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. |
| 84 |
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. |
| 85 |
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. |
| 86 |
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. |
| 87 |
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. |
| 88 |
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. |
| 89 |
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. |
| 90 |
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. |
| 91 |
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. |
| 92 |
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. |
| 93 |
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. |
| 94 |
Algebraic equations |
Equations involving grouping symbols. |
| Objective: On completion of the lesson the student will be able to solve equations using grouping symbols |
| 95 |
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. |
| 96 |
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. |
| 97 |
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. |
| 98 |
Pythagoras |
Pythagorean triples |
| Objective: On completion of the lesson the student will be able to use the 3-4-5 Pythagorean triple. |
| 99 |
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. |
| 100 |
Pythagoras |
Calculating a leg of a right-angled 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. |
| 101 |
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. |
| 102 |
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. |
| 103 |
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. |
| 104 |
Exam |
Exam – Grade 11 – Maths at Work 2/3 |
| Objective: Exam |
