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PremierMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematics Grade 8

Grade 8Term 1

Numbers, Operati ons and Relati onships

Patt erns, Functi ons and Algebra Shape and Space Measurement Data Handling Recording Refl ecti on

Unit 1Wholenumbers

Exercise 1Mental calculati onsTG 1; LB 1Exercise 2Ordering and comparing whole numbersTG 1; LB 2Exercise 3Properti es of whole numbersTG 2; LB 3Exercise 4Calculati on techniquesTG 3; LB 3Exercise 5Multi ples and factorsTG 4; LB 5Exercise 6Solving problems including rati o and rateTG 6; LB 7Exercise 7Solving problems in fi nancial contexts involving profi t, loss, discount and VATTG 8; LB 9

3

Grade 8Term 1

Numbers, Operations and Relationships

Patterns, Functions and Algebra Shape and Space Measurement Data Handling Recording Reflection

Exercise 8Solving problems in financial context involving budget, accounts, loans, simple interest and hire purchaseTG 9; LB 10Exercise 9Solving problems in financial contexts exchange ratesTG 10; LB 13

Unit 2Integers

Exercise 1Counting with integersTG 10; LB 14Exercise 2Ordering and comparing integersTG 12; LB 15Exercise 3Addition of integersTG 12; LB 16Exercise 4Subtraction of integersTG 13; LB 18Exercise 5Multiplication and division of integersTG 13; LB 18Exercise 6Square, cubes, square roots and cube roots of integersTG 14; LB 20

4

Grade 8Term 1



Exercise 7Properties of integersTG 15; LB 23Exercise 8Problem solving with integersTG 16; LB 24

Unit 3 exponents

Exercise 1Mental calculationsTG 17; LB 26Exercise 2Comparing and representing numbers in exponential formTG 18; LB 28Exercise 3Compare and represent integers in exponential formTG 19; LB 29Exercise 4Scientific notationTG 20; LB 30Exercise 5Law 1: multiplication of exponentsTG 21; LB 31Exercise 6Law 2: division of exponentsTG 22; LB 32Exercise 7Law 3: a power raised to a powerTG 22; LB 33

5

Grade 8Term 1



Exercise 8Law 4: two different bases raised to the same powerTG 23; LB 34Exercise 9Law 5: a number raised to the power 0TG 23; LB 35Exercise 10Solving problemsTG 24; LB 35

Unit 4Numeric and geometric problems

Exercise 1Revision TG 25; LB 37Exercise 2Predicting the value of any term in a sequenceTG 26; LB 38Exercise 3Extending geometric patternsTG 28; LB 40Exercise 4Challenge TG 29; LB 43

Unit 5Functions and relationships

Exercise 1Determine input and output values or rules using flow diagramTG 29; LB 44

6

Grade 8Term 1



Exercise 2Determine input and output using formulae and equationsTG 30; LB 46Exercise 3Equivalent formsTG 31; LB 48

Unit 6Algebraic expressions

Exercise 1Recognise and interpret rules or relationships represented in symbolic formsTG 32; LB 50Exercise 2Identify variables and constants in given formulae and equationsTG 33; LB 52Exercise 3Recognise and identify conventions for writing algebraic expressionsTG 33; LB 53Exercise 4Identify and classify like and unlike terms in algebraic expression TG 34; LB 53

7

Grade 8Term 1



Exercise 5Recognise and identify coefficients and exponents in algebraic expressions TG 35; LB 55Exercise 6Use commutative, associative and distributive laws of exponents to add and subtract like terms in algebraic expression TG 36; LB 56

Unit 7 Algebraic equations

Exercise 1Set up equations to describe problem situationsTG 38; LB 58Exercise 2Analyse and interpret equations that describe a given situationTG 38; LB 59Exercise 3Solve equations by inspectionTG 39; LB 60Exercise 4Determine the numerical value of an expression by substitution TG 39; LB 60

8

Grade 8Term 2



Unit 8Algebraic expression

Exercise 1Recognise and interpret rules or relationships represented in symbolic formTG 48; LB 66Exercise 2Recognise and identify conventions for writing algebraic expressionsTG 48; LB 67Exercise 3Add and subtract like terms in algebraic expressions TG 49; LB 68Exercise 4Mixed operations in algebraic expressionsTG 50; LB 69Exercise 5Multiply integers and monomials, binomials and trinomialsTG 50; LB 70Exercise 6Divide integers and monomials, binomials and trinomialsTG 52; LB 72

9

Grade 8Term 2



Exercise 7Determine the squares, cubes, square roots and cube roots of single algebraic terms or like algebraic termsTG 53; LB 73Exercise 8Determine the numerical value of algebraic expressions by substitutionTG 53; LB 74

Unit 9Algebraic equations

Exercise 1Set up equations to describe problem situationsTG 55; LB 75Exercise 2Analyse and interpret equations that describe a given situationTG 55; LB 76Exercise 3Solve equations by inspectionTG 56; LB 76Exercise 4Determine the numerical value of an expression by substitutionTG 56; LB 77

10

Grade 8Term 2



Exercise 5Solve problems using additive and multiplicative inverse TG 57; LB 78Exercise 6Solving equations using laws of exponentsTG 58; LB 79

Unit 10Construction of geometric figures

Exercise 1Constructing circles and anglesTG 59; LB 80Exercise 2Accurately bisect a line and an angle using a pair of compassesTG 59; LB 81Exercise 3Accurately construct perpendicular lines at a given point and from a given pointTG 61; LB 84Exercise 4Constructing a triangle given its three sidesTG 62; LB 85Exercise 5Constructing a triangle given two sides and the included angleTG 63; LB 86

11

Grade 8Term 2



Exercise 6Accurate construct quadrilaterals TG 63; LB 87Exercise7Construct angles of 30˚, 45˚, 60˚ and their multiples without using a protractorTG 64; LB 88Exercise 8By construction, investigate the angles in a triangle, focusing on the sum of interior and the sizes of angles in an isosceles triangle and the sides and base angles of an isosceles triangle TG 65; LB 89Exercise 9By construction, investigate sides and angles in quadrilaterals, focusing on the sum of the interior angles of quadrilaterals, and the sides and opposite angles of parallelogramsTG 67; LB 90

Unit 11Geometry of 2D shapes

Exercise 1Geometry of 2D shapesTG 68; LB 93

12

Grade 8Term 2



Exercise 2Identify and write clear definitions of quadrilaterals in terms of their sides and angles, distinguishing between parallelograms, rectangle, square, rhombus, trapezium and kiteTG 68; LB 95Exercise 3Similar and congruent 2D shapes TG 69; LB 97Exercise 4 Solve geometric problems involving unknown sides and angles in triangles and quadrilaterals using known properties and definitions

TG 69; LB 98Unit 12Geometry of straight lines

Exercise 1Recognise and describe pairs of angles formed by perpendicular lines and intersecting linesTG 71; LB 103

13

Grade 8Term 2



Exercise 2Recognise and describe pairs of angles formed by parallel lines cut by a transversalTG 72; LB 104Exercise 3Solve geometric problems using the relationships between pairs of anglesTG 73; LB 108

Grade 8Term 3



Unit 13Common fractions

Exercise 1Addition and subtraction of fractionsTG 84; LB 119Exercise 2Multiplication of fractionsTG 85; LB 120

Exercise 3Division of fractionsTG 85; LB 121

Exercise 4Squares, cubes, square roots and cube roots of common fractionsTG 86; LB 122Exercise 5Problem solvingTG 87; LB 123

14

Grade 8Term 3



Exercise 6Equivalent formsTG 88; LB 125Exercise 7Calculating percentages TG 88; LB 127

Unit 14Decimal fractions

Exercise 1Ordering and comparing decimal fractionsTG 90; LB 130Exercise 2Adding and subtracting decimal fractionsTG 91; LB 132Exercise 3Multiplication using decimal fractionsTG 91; LB 133Exercise 4Division using decimal fractionsTG 92; LB 136

Exercise 5Squares, cubes, square roots, cube roots of decimal fractionsTG 93; LB 137

Exercise 6Solving problemsTG 93; LB 138

Exercise 7Equivalent formsTG 94; LB 139

15

Grade 8Term 3



Unit 15The theorem of Pythagoras

Exercise 1Develop the theorem of PythagorasTG 95; LB 142

Exercise 2Use the theorem of Pythagoras to determine whether a triangle is a right angled triangleTG 95; LB 143

Exercise 3Use the theorem of Pythagoras to find the missing length in a right angled triangleTG 96; LB 144

Unit 16 Area and perimeter of 2D shapes

Exercise 1Area and perimeter of polygonsTG 97; LB 147

Exercise 2Finding the area of polygons by decomposing the shapesTG 98; LB 149

Exercise 3Area and circumference of circlesTG 100; LB 150

Exercise 4Area conversionsTG 102; LB 152

16

Grade 8Term 3



Unit 17Surface area and volume of 3D objects

Exercise 1Determine surface areas of cubes, rectangular prisms and triangular prismsTG 105; LB 155

Exercise 2Determine the volume and capacity of cubes, rectangular prisms and triangular prismsTG 106; LB 157

Exercise 3Describe interrelationships between the surface area and the volume of cubes, rectangular prisms and triangular prismsTG 106; LB 159

Exercise 4Calculations and solving problemsTG 108; LB 161

Unit 18Collect, organise and summarise data

Exercise 1Collect dataTG 111; LB 163

Exercise 2Organise and summarise dataTG 112; LB 165

17

Grade 8Term 3



Exercise 3Represent dataTG 113; LB 168

Exercise 4Interpret, analyse and report dataTG 116; LB 174

Exercise 5Analyse and report dataTG 116; LB 178

18

Grade 8Term 4



Unit 19Functions and relationships

Exercise 1Determine input values, output values or rules for patterns using flow diagrams and equationsTG 124; LB 187

Exercise 2Determine input values, output values or rules for patterns using tables and equationsTG 125; LB 189

Exercise 3Equivalent formsTG 125; LB 190

Unit 20Algebraic equations

Exercise 1Set up equations to describe problem situationsTG 128; LB 193

Exercise 2Analyse and interpret equations that describe a given situationTG 129; LB 194

Exercise 3Solve equations by inspectionTG 129; LB 195

Exercise 4Determine the numerical value of an expression by substitutionTG 132; LB 195

19

Grade 8Term 4



Exercise 5Solving problems using additive and multiplicative inversesTG 130; LB 196

Exercise 6Solving equations using laws of exponentsTG 132; LB 198

Exercise 7Use substitutionIn equations to generate tables of ordered pairsTG 132; LB 199

Unit 21Graphs

Exercise 1Interpreting graphsTG 135; LB 201

Exercise 2Plotting pints on a graphTG 136; LB 207

Exercise 3Determine the scale of the axesTG 137; LB 208

Exercise 4Plotting points on aCartesian planeTG 138; LB 210

Exercise 5Drawing graphsTG 139; LB 213

20

Grade 8Term 4



Unit 22Transformationgeometry

Exercise 1Recognise, describe and perform transformations with points on a coordinate plane, focusing on reflecting a point in the y-axis or x-axisTG 146; LB 219

Exercise 2Recognise, describe and perform transformations with points on a coordinate plane, focusing on translating a point within and across quadrantsTG 147; LB 222

Exercise 3Recognise, describe and perform transformations with triangles on a coordinate plane, focusing on the coordinates of the vertices when reflecting a triangle in the Y-axis or X-axiTG 148; LB 224

21

Grade 8Term 4



Exercise 4Recognise, describe and perform transformations with triangles on a coordinate plane, focusing on the coordinates of the vertices when translating a triangle within and across quadrantsTG 149; LB 227

Exercise 5Recognise, describe and perform transformations with triangles on a coordinate plane, focusing on the coordinates of the vertices when rotating a triangle around the originTG 151; LB 228

Exercise 6Enlargements and reductions on area and perimeter of geometric figuresTG 152; LB 231

Unit 23Geometry of 3D objects

Exercise 1Classifying 3D objectsTG 155; LB 237

Exercise 2Building 3D modelsTG 156; LB 239

22

Grade 8Term 4



Unit 24Probability

Exercise 1Revision TG 163; LB 241

Exercise 2Probability experimentsTG 163; LB 243

Exercise 3Comparing relative frequency and probabilityTG 165; LB 245

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