| 1 |
Study Plan |
Study plan – Grade 8 |
| Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision. |
| 2 |
Algebra – Basic |
Directed Numbers: Addition and Subtraction |
| Objective: To add/subtract numbers using a number line – first number and answer can be negative |
| 3 |
Algebra – Basic |
Directed Numbers: Multiplication and Division |
| Objective: To multiply and divide directed numbers and evaluate powers of directed numbers |
| 4 |
Fractions |
Finding equivalent fractions |
| Objective: To reduce a fraction to its lowest form |
| 5 |
Fractions |
Multiplying and dividing to obtain equivalent fractions. |
| Objective: To find equivalent fractions using multiplication or division. |
| 6 |
Fractions |
Reducing fractions to lowest equivalent form |
| Objective: To reduce a fraction to its lowest form |
| 7 |
Fractions |
Comparing and ordering fractions greater than 1 |
| Objective: To use diagrams, number lines and equivalent fractions to compare and order fractions greater than 1 |
| 8 |
Fractions |
Subtracting fractions from whole numbers |
| Objective: To use a diagram and mental strategies to subtract fractions from whole numbers |
| 9 |
Fractions |
Adding and subtracting fractions with the same denominator |
| Objective: To add and subtract fractions with the same denominator |
| 10 |
Fractions |
Adding and subtracting fractions with different denominators |
| Objective: To add fractions with different denominators and the answer is less than 1 |
| 11 |
Fractions |
Multiplying fractions by whole numbers |
| Objective: To multiply common fractions by whole numbers |
| 12 |
Fractions |
Fractions of whole numbers |
| Objective: To find fractions of whole numbers |
| 13 |
Fractions |
Multiplying fractions |
| Objective: To multiply fractions and reduce the answer to its lowest form |
| 14 |
Fractions |
Multiplying mixed numbers |
| Objective: To multiply mixed numbers and reduce the answer to its lowest form |
| 15 |
Fractions |
Finding reciprocals of fractions and mixed numbers |
| Objective: To find the reciprocals of fractions and mixed numbers |
| 16 |
Fractions |
Dividing fractions |
| Objective: To divide fractions by other fractions |
| 17 |
Fractions |
Dividing mixed numbers |
| Objective: To divide mixed numbers |
| 18 |
Fractions |
BODMAS |
| Objective: To calculate answers for fraction and mixed number questions using BODMAS |
| 19 |
Decimals |
Adding decimals to two decimal places |
| Objective: To add decimals with the same number of decimal places (to two decimal Places) |
| 20 |
Decimals |
Subtracting decimals to two decimal places |
| Objective: To subtract decimals with the same number of decimal places (to two decimal places) |
| 21 |
Decimals |
Using decimals – shopping problems |
| Objective: To read and interpret problems involving money |
| 22 |
Decimals |
Using decimals to record length |
| Objective: To interpret the everyday use of fractions and decimals |
| 23 |
Decimals |
Rounding Decimals |
| Objective: To round a number with one or two decimal places to the nearest whole number |
| 24 |
Decimals |
Decimals to three decimal places |
| Objective: To express a number on a thousand as a decimal in thousandths |
| 25 |
Decimals |
Adding decimals with a different number of decimal places |
| Objective: To add decimal numbers with a different number of decimal places |
| 26 |
Decimals |
Subtracting decimals with a different number of places |
| Objective: To subtract decimals with a different number of decimal places |
| 27 |
Decimals |
Multiplying decimals by 10, 100 and 1000 |
| Objective: To recognise the pattern formed when decimals are multiplied by 10, 100 and 1000 |
| 28 |
Decimals |
Multiplying decimals by single-digit numbers |
| Objective: To multiply decimals by single-digit numbers |
| 29 |
Decimals |
Multiplication of decimals by decimals to two decimal places |
| Objective: To multiply decimals to two digits |
| 30 |
Decimals |
Dividing decimals by 10, 100 and 1000 |
| Objective: To recognise the pattern formed when decimals are divided by 10, 100 and 1000 |
| 31 |
Decimals |
Dividing decimals by whole numbers |
| Objective: To divide decimals by whole numbers |
| 32 |
Decimals |
Dividing numbers by decimals |
| Objective: To divide a whole number by a decimal fraction |
| 33 |
Percentages |
Understanding percentages |
| Objective: To recognise the percentage symbol and relate a common percentage to a fraction |
| 34 |
Percentages |
Changing fractions and decimals to percentages tenths and hundredths |
| Objective: To represent fractions and decimals as percentages |
| 35 |
Percentages |
Changing percentages to fractions and decimals |
| Objective: To change percentages to fractions and decimals |
| 36 |
Percentages |
One Quantity as a Percentage of Another |
| Objective: To determine what one quantity is as a percentage of another |
| 37 |
Uniform motion |
The Speed Formula |
| Objective: To calculate speed, distance or time using speed = distance/time |
| 38 |
Measurement – Length |
Read and calculate distances on a map using the formal unit kilometre |
| Objective: To read distances (km) from a map and calculate total distances between locations |
| 39 |
Measurement – Length |
Compare and convert formal units of measurement |
| Objective: To change cm to mm and then convert mm, cm, m and km from one to another |
| 40 |
Measurement – Area |
Introducing the Rules for Finding the Area of a Rectangle and a Parallelogram |
| Objective: To calculate the areas of rectangles and parallelograms using Area of Rectangle = Length x Height and Area of Parallelogram = Base x Height |
| 41 |
Measurement – Area |
Finding the Area of a Triangle and Other Composite Shapes |
| Objective: To calculate the area of triangles and measure and calculate composite shape area |
| 42 |
Measurement – Capacity |
Using the cubic cm and displacement to measure volume and capacity |
| Objective: To find volume and capacity using displacement |
| 43 |
Measurement – Capacity |
Using the Cubic cm as a Standard Unit of measurement for Volume and Capacity |
| Objective: To understand a cubic centimetre and how it can be used to find the volume and capacity of a three-dimensional shape |
| 44 |
Measurement – Capacity |
The relationship between the common units of capacity: the litre and the millilitre |
| Objective: To convert L to mL and vice versa using 1000 mL = 1 L |
| 45 |
Measurement – Capacity |
Converting between volume and capacity using kiloliters and liters |
| Objective: To know the formal units of measurement for volume and capacity for bigger objects |
| 46 |
Measurement – Capacity |
Estimate, measure and compare the capacity of containers |
| Objective: To understand estimation and a way to go about it |
| 47 |
Measurement – Capacity |
Converting between volume and capacity using milliliters and liters |
| Objective: To solve capacity problems involving mixed dimensional units |
| 48 |
Measurement – Mass |
The Kilogram |
| Objective: To recognise which of two (or more) objects has the greater mass |
| 49 |
Measurement – Mass |
The Gram |
| Objective: To calculate net mass in grams and solve shopping problems involving mass |
| 50 |
Measurement – Advanced area |
Area of a Circle |
| Objective: To calculate the area of circles and sectors and to solve circle problems |
| 51 |
Measurement – Advanced area |
Area of Regular Polygons and Composite Figures |
| Objective: To calculate area of composite figures and solve problems using correct formulae |
| 52 |
Measurement – Advanced volume |
Finding the volume of prisms |
| Objective: To calculate the volume of prisms using V=Ah and solve volume problems |
| 53 |
Measurement – Advanced volume |
Volume of a Cylinder and Sphere |
| Objective: To solve problems and calculate volumes of cylinders and spheres and parts of each |
| 54 |
Space |
Using the prefix to determine polygons |
| Objective: To continue sequences of shapes and recognise prefixes and name polygons |
| 55 |
Space |
Spatial properties of quadrilaterals |
| Objective: To recall and recognise properties of different quadrilaterals |
| 56 |
Space |
Measure and classify angles |
| Objective: To classify and measure angles and calculate angles in a triangle |
| 57 |
Space |
Recognise and name triangles |
| Objective: To recall properties of different triangles |
| 58 |
Space |
Use grids to enlarge/reduce 2-D shapes |
| Objective: To recognise shapes that tessellate and specify position on a grid |
| 59 |
Space |
Recognise and name prisms according to spatial properties |
| Objective: To name prisms according to the shape of the base |
| 60 |
Space |
Recognise and name pyramids according to spatial properties |
| Objective: To name pyramids according to the shape of the base |
| 61 |
Space |
Recognise nets for prisms, pyramids, cubes and cones |
| Objective: To match a net with a solid and determine whether a given net forms a solid |
| 62 |
Space |
Viewing 3-D Shapes |
| Objective: To recognise what a solid looks like when viewed from a given direction |
| 63 |
Problem solving |
Word Problems with Area |
| Objective: To solve area word problems using + – x and / |
| 64 |
Problem solving |
Word Problems with Volume/Capacity |
| Objective: To solve volume and capacity word problems using + – x and / |
| 65 |
Surface area |
Surface Area of a Cube/Rectangular Prism |
| Objective: To calculate the surface area of cubes and rectangular prisms |
| 66 |
Surface area |
Surface Area of a Cylinder and Sphere |
| Objective: To calculate the surface area of cylinders and spheres |
| 67 |
Geometry part 1 |
Measuring Angles |
| Objective: To use a protractor to measure angles and identify angles as acute, obtuse or reflex |
| 68 |
Geometry part 1 |
Adjacent Angles |
| Objective: To recognise and calculate the size of adjacent angles |
| 69 |
Geometry part 1 |
Complementary and Supplementary Angles |
| Objective: To recognise and calculate the size of complementary and supplementary angles |
| 70 |
Geometry part 1 |
Vertically Opposite Angles |
| Objective: To determine values of pronumerals in vertically opposite angles |
| 71 |
Geometry part 1 |
Angles at a Point |
| Objective: To use angles at a point to calculate unknown angles |
| 72 |
Geometry part 1 |
Parallel Lines |
| Objective: To identify angle pairs and calculate angles formed by a transversal and parallel lines |
| 73 |
Geometry part 1 |
Additional questions involving parallel lines |
| Objective: To determine angle magnitude for angles formed by parallel lines and transversals |
| 74 |
Quadrilaterals |
Quadrilaterals 1 |
| Objective: To recognise, name and describe the properties of quadrilaterals |
| 75 |
Quadrilaterals |
Properties of Parallelograms – Opposite Angles Equal |
| Objective: To prove and use ‘Opposite angles of a parallelogram are congruent’ |
| 76 |
Quadrilaterals |
Properties of Parallelograms – Diagonals, Sides and Angles |
| Objective: To prove parallelogram properties and calculate unknown angles and lengths |
| 77 |
Quadrilaterals |
The Parallelogram Umbrella |
| Objective: To prove properties of specific parallelograms and find angles and lengths |
| 78 |
Quadrilaterals |
Properties of Trapezoids |
| Objective: To prove properties of trapezoids and find unknown lengths and angles |
| 79 |
Quadrilaterals |
Quadrilaterals 6 |
| Objective: To establish the properties of quadrilaterals in the number plane |
| 80 |
Geometry part 2 |
Congruent triangles: Tests 1 and 2 |
| Objective: To recognise congruent triangles and matching sides and angles using SSS and SAS |
| 81 |
Geometry part 2 |
Congruent triangles: Tests 3 and 4 |
| Objective: To recognise congruent triangles and matching sides and angles using AAS and RHS |
| 82 |
Geometry part 2 |
Proofs and Congruent Triangles |
| Objective: To use congruency in formal proofs in order to determine unknown angles and sides |
| 83 |
Geometry part 2 |
Similar Triangles |
| Objective: To use similarity tests for triangles and determine unknown sides and angles in triangles |
| 84 |
Geometry part 2 |
Using Similar Triangles to Calculate Lengths |
| Objective: To determine unknown sides and angles of similar triangles |
| 85 |
Geometry part 2 |
Examples involving overlapping triangles |
| Objective: To determine the lengths of unknown sides in overlapping or adjacent similar triangles |
| 86 |
Pythagoras |
Pythagoras’ Theorem: Finding the Hypotenuse |
| Objective: To calculate the length of a hypotenuse using Pythagoras’ Theorem |
| 87 |
Pythagoras |
Using Pythagorean Triples to Identify Right Triangles |
| Objective: To identify right triangles by using Pythagorean Triples or Pythagoras’ Theorem |
| 88 |
Pythagoras |
Calculating the Hypotenuse of a right-angled Triangle |
| Objective: To calculate the length of a hypotenuse where lengths are given as surds or decimals |
| 89 |
Pythagoras |
Calculating a Leg of a right-angled Triangle |
| Objective: To calculate the length of sides other than the hypotenuse using Pythagoras’ Theorem |
| 90 |
Algebra – Basic |
Algebraic Expressions |
| Objective: To simplify numerical expressions and simplify and expand algebraic expressions |
| 91 |
Algebra – Basic |
Substitution into Algebraic Expressions |
| Objective: To evaluate simple algebraic expressions using whole numbers, fractions and decimals |
| 92 |
Algebra – Basic |
Simplifying Algebraic Expressions: Adding Like Terms |
| Objective: To simplify numeric and algebraic addition expressions by collecting like terms |
| 93 |
Algebra – Basic |
Simplifying Algebraic Expressions: Subtracting Like Terms |
| Objective: To simplify algebraic subtractions by collecting like terms |
| 94 |
Algebra – Basic |
Simplifying Algebraic Expressions: Combining Addition and Subtraction |
| Objective: To simplify expressions containing addition and subtraction and two unlike terms |
| 95 |
Algebra – Basic |
Simplifying Algebraic Expressions: Multiplication |
| Objective: To simplify algebraic products using (but not stating) the commutative law |
| 96 |
Algebra – Basic |
Simplifying Algebraic Expressions: Division |
| Objective: To divide algebraic terms where the divisor is a factor of the dividend |
| 97 |
Algebra – Basic |
Expanding Algebraic Expressions: multiplication |
| Objective: To remove grouping symbols from an expression where the multiplier is monomial |
| 98 |
Algebra – Basic |
Expanding Algebraic Expressions: Negative multiplier |
| Objective: To expand parentheses when there is a negative multiplier |
| 99 |
Algebra – Basic |
Expanding and simplifying algebraic expressions |
| Objective: To expand and simplify algebraic expressions involving grouping symbols |
| 100 |
Algebra – Basic |
Solving Equations containing Addition and Subtraction |
| Objective: To solve one-step equations involving addition or subtraction |
| 101 |
Algebra – Basic |
Solving Equations containing Multiplication and Division |
| Objective: To solve one-step equations involving multiplication or division |
| 102 |
Algebra – Basic |
Solving Two-Step Equations |
| Objective: To solve two-step equations without division in the initial problem |
| 103 |
Algebra – Basic |
Solving Equations Containing Binomial Expressions |
| Objective: To solve equations with binomial expressions on each side |
| 104 |
Algebra – Basic |
Equations involving Grouping Symbols |
| Objective: To solve equations containing grouping symbols on each side |
| 105 |
Algebra – Basic |
Equations involving fractions |
| Objective: To solve fraction equations with the unknown in either the numerator or denominator |
| 106 |
Algebra – Basic |
Equations Resulting from Substitution into Formulae |
| Objective: To solve equations created by substituting values into formulae |
| 107 |
Algebra – Basic |
Changing the Subject of the Formula |
| Objective: To change the subject of algebraic formulae using equation-solving techniques |
| 108 |
Space |
Mapping |
| Objective: To locate places and describe navigation on a map and use a row/column grid |
| 109 |
Space |
Main and intermediate compass points |
| Objective: To specify direction using the eight points of a compass |
| 110 |
Space |
Informal coordinate system |
| Objective: To specify location using a map coordinate system – origin top left |
| 111 |
Graphs – Basic |
Line Graphs |
| Objective: To read and interpret line graphs |
| 112 |
Graphs – Basic |
Pie and Bar Graphs |
| Objective: To read and interpret pie and bar graphs |
| 113 |
Statistics part 1 |
Frequency distribution table |
| Objective: To construct a frequency distribution table for raw data and to interpret the table |
| 114 |
Statistics part 1 |
Frequency histograms and polygons |
| Objective: To construct and interpret frequency histograms and polygons |
| 115 |
Statistics part 1 |
Relative Frequency |
| Objective: To extend the frequency distribution table to include a relative frequency column |
| 116 |
Statistics part 1 |
The Scatter plot |
| Objective: To make a valid interpretation of data presented as a scatter plot |
| 117 |
Probability |
Simple events |
| Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S) |
| 118 |
Probability |
Experimental probability |
| Objective: To find the experimental probabilities of an experimental trial |
| 119 |
Probability |
Experimental probability |
| Objective: To use tree diagrams to determine sample spaces and compound probabilities |
| 120 |
Probability |
The Complementary Result |
| Objective: To calculate the probability of complementary events using P(E) = 1 – P(not E) |
| 121 |
Exam |
Exam – Grade 8 |
| Objective: Exam |
