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PremierMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematicsMathematics Grade 9

Grade 9Term 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 1Properti es of numbersTG 1; LB 1Exercise 2Calculati ons using whole numbersTG 1; LB 3Exercise 3Calculati on techniquesTG 2; LB 4Exercise 4Multi ples and factorsTG 3; LB 6Exercise 5Solving problems with rati o and rateTG 3; LB 8Exercise 6Solving problems with direct and indirect proporti onTG 4; LB 9Exercise 7Solving problems in fi nancial contexts such as simple interest and hire purchaseTG 4; LB 11

3

Grade 9Term 1

Numbers, Operations and Relationships

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

Exercise 8Solving problems in financial contexts such as compound interestTG 4; LB 13Exercise 9Solving problems in financial contexts such as profit, loss, discount and VATTG 5; LB 14Exercise 10BudgetsTG 5; LB 17

Unit 2Integers

Exercise 1Calculations involving all four operations withIntegersTG 6; LB 18Exercise 2Calculations usingSquares, cubes, square roots and cube roots of integersTG 7; LB 20Exercise 3Properties of integersTG 8; LB 21Exercise 4Solving problemsTG 8; LB 23

Unit 3 Common Fractions

Exercise 1CalculationsTG 9; LB 25

4

Grade 9Term 1



Exercise 2Calculation techniquesTG 10; LB 26Exercise 3Solving problemsTG 10; LB 27Exercise 4Equivalent formsTG 11; LB 28

Unit 4Decimal Fractions

Exercise 1Calculations with decimal fractionsTG 12; LB 29Exercise 2Calculation techniquesTG 13; LB 30Exercise 3Solving problems in context using decimal fractionsTG 13; LB 30Exercise 4Equivalent formsTG 14; LB 32

Unit 5Exponents

Exercise 1Compare and rep. numbers in exponential formTG 15; LB 33Exercise 2Calculations using exponential lawsTG 15; LB 33

5

Grade 9Term 1



Exercise 3Represent numbers in scientific notationTG 17; LB 35Exercise 4Exponential equationsTG 18; LB 37Exercise 5Solving problemsTG 18; LB 38

Unit 6Numeric and geometric patterns

Exercise 1By inspection, find the rule for the numeric patterns where there is a constant difference between termsTG 19; LB 40Exercise 2By inspection, find the rule for a numeric sequence where there is a constant ratio between termsTG 19; LB 41Exercise 3By inspection, find the rule for a numeric sequence that has neither a constant difference nor ratioTG 20; LB 42

6

Grade 9Term 1



Exercise 4Determine the rule for numeric sequences and predict any term in the sequenceTG 20; LB 44Exercise 5Determine the rule for geometric patternsTG 22; LB 47

Unit 7Functions and relationships

Exercise 1Determine input and output values using flow diagrams TG 23; LB 51Exercise 2Determine input and output valuesusing a tableTG 24; LB 52Exercise 3Determine input or output values given the formulaTG 25; LB 55Exercise 4Equivalent formsTG 25; LB 56

Unit 8Algebraic expressions

Exercise 1Algebraic languagTG 29; LB 61

7

Grade 9Term 1



Exercise 2Add and subtract like terms in algebraic expressionsTG 30; LB 62Exercise 3Multiply integers and monomials byMonomials, binomials, trinomials and polynomialsTG 31; LB 64Exercise 4Divide monomials, binomials, trinomials and polynomials by integers or monomialsTG 32; LB 65Exercise 5Determine the squares, cubes, square roots and cube roots of single algebraic terms or like algebraic termsTG 33; LB 66Exercise 6Determine the numerical value of algebraic expressions by substitutionTG 33; LB 66

8

Grade 9Term 1



Exercise 7Determine the product of two binomialsTG 34; LB 67Exercise 8Determine the square of a binomialTG 35; LB 68

Unit 9Algebraic equations

Exercise 1Set up equations to describe problem situationsTG 36; LB 69Exercise 2Analyse and interpret equations that describe a given situationTG 38; LB 70Exercise 3Solve equations by inspectionTG 39; LB 71Exercise 4Solve equations using additive and multiplicative inversesTG 39; LB 71Exercise 5Solve equations using laws of exponentsTG 41; LB 72

9

Grade 9Term 1



Exercise 6Solving equations where the product of two factors = 0TG 41; LB 73Exercise 7Solve for x in fraction equationsTG 42; LB 74

Grade 9Term 2



Unit 10Constructionof geometric figures

Exercise 1Construct geometric figures using a compass, ruler and protractor, including bisecting angles of a triangleTG 48; LB 79Exercise 2Construct angles of 45, 60, 30 and their multiples without using a protractorTG 49; LB 82Exercise 3By construction, investigate the angles in a triangleTG 50; LB 85

10

Grade 9Term 2



Exercise 4By construction, explore the minimum conditions for two triangles to be congruentTG 51; LB 86Exercise 5By construction, investigate the sides, angles and diagonals in quadrilateralsTG 51; LB 87Exercise 6By construction explore the sum of the of the interior angles of polygonsTG 52; LB 90

Unit 11Geometry of 2D shapes

Exercise 1ClassifyingTriangles TG 54; LB 91Exercise 2Classifying quadrilateralsTG 55; LB 93Exercise 3Through investigation, establish the minimumrequirements for congruent trianglesTG 57; LB 96

11

Grade 9Term 2



Exercise 4Through investigation, establish the minimumrequirements for similar trianglesTG 58; LB 98Exercise 5Solving problemsTG 59; LB 99

Unit 12Geometry of straight lines

Exercise 1Perpendicular linesTG 60; LB 102Exercise 2Intersecting linesTG 60; LB 103Exercise 3Parallel lines cut by a transversalTG 61; LB 105Exercise 4Solving problemsTG 62; LB 109

Unit 13The Theorem of Pythagoras

Exercise 1Revise the Theorem of PythagorasTG 64; LB 110Exercise 2Finding the unknown lengthTG 64; LB 112Exercise 3Identifying if triangles are right-angledTG 65; LB 114

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Grade 9Term 2



Exercise 4Finding lengths in 2D shapes using PythagorasTG 66; LB 114Exercise 5Using the Theorem of Pythagoras to solve problemsTG 67; LB 117Exercise 6Challenge TG 69; LB 119

Unit 14Area and perimeter of 2D shapes

Exercise 1Revision of SI unitsTG 76; LB 120Exercise 2Perimeter of 2D shapesTG 77; LB 122Exercise 3Area of 2d shapesTG 78; LB 124Exercise 4Circumference and area of circlesTG 79; LB 126

13

Grade 9Term 3



Unit 15Functions and relationships

Exercise 1Determine output values for given equationsTG 91; LB 133Exercise 2Equivalent formsTG 92; LB 134

Unit 16Algebraic expressions

Exercise 1Find the highest common factor of monomialsTG 96; LB 138Exercise 2Factorise algebraic expressions that involve common factorsTG 98; LB 139Exercise 3Factorise algebraic expressions that involve difference of squaresTG 99; LB 140Exercise 4Factorise algebraic expressions that involve perfect square trinomialsTG 100; LB 141Exercise 5Factorise algebraic expressions that involve trinomialsTG 101; LB 142

14

Grade 9Term 3



Exercise 6Simplify algebraic fractions using factorisationTG 102; LB 145

Unit 17Algebraic equations

Exercise 1 RevisionTG 103; LB 147

Exercise 2Solving equations using factorisationTG 106; LB 148Exercise 3Solve equations involving a difference of squaresTG 107; LB 150Exercise 4Use equations to generate tables of ordered pairsTG 108; LB 150Exercise 5Application of solving equations

Unit 18Graphs

Exercise 1Interpreting graphsTG 113; LB 155Exercise 2Drawing graphsTG 114; LB 158

Exercise 3Investigate x-intercept and y-intercept on linear graphsTG 115; LB 160

15

Grade 9Term 3



Exercise 4Investigating gradientsTG 117; LB 162Exercise 5Draw linear graphs from given equationsTG 118; LB 163Exercise 6Determine equations from given linear graphsTG 121; LB 165

Exercise 7Sketching and comparing graphsTG 121; LB 168

Unit 19Surface area and volume

Exercise 1Surface area and volume of cubesTG 123; LB 169Exercise 2Surface area, volume and capacity of rectangular prismsTG 123; LB 170Exercise 3Surface area, volume and capacity of triangular prismsTG 124; LB 173

16

Grade 9Term 4



Unit 20Transformation geometry

Exercise 1Reflection about the x-axis or y-axisTG 141; LB 187Exercise 2Translation within and across quadrantsTG 142; LB 190Exercise 3Reflection about the straight line y=xTG 144; LB 193Exercise 4Identify the transformation given the coordinates of the imageTG 144; LB 196

Grade 9Term 3



Exercise 4Surface area, volume and capacity of cylindersTG 125; LB 176Exercise 5Investigate how doubling any or all of the dimensions of right prisms and cylinders affects their volumeTG 126; LB 178

17

Grade 9Term 4



Exercise 5Enlargement and reductionTG 145; LB 198

Unit 21Geometry of 3D objects

Exercise 1Classifying 3D objectsTG 146; LB 202Exercise 2Recognise and describe properties of spheres and cylindersTG 148; LB 206Exercise 3Building 3D modelsTG 148; LB 207Exercise 4Drawing netsTG 149; LB 210

Unit 22Data Handling

Exercise 1Collect dataTG 152; LB 213Exercise 2Organise and summarise dataTG 152; LB 215Exercise 3Represent dataTG 153; LB 217Exercise 4Interpret dataTG 156; LB 228Exercise 5Analyse dataTG 157; LB 231

18

Grade 9Term 4



Exercise 6Report dataTG 157; LB 233

Unit 23probability

Exercise 1Determine probabilities of compound events using two-way tables and tree diagramsTG 159; LB 237

Exercise 2Predict the relative frequency in simple experimentsTG 160; LB 239

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