Maths Frameworking - Pupil Book 3.2 [Third Edition]

by Kevin Evans, Keith Gordon (Illustrator)

Overview

Ensure progress at the right pace with Pupil Book 3.2, the middle tier for the third year of teaching KS3. With fluency, mathematical reasoning and problem solving integrated throughout you can be confident you’re covering the main aims of the new curricu

Product Details

ISBN-13:	9780007537785
Publisher:	HarperCollins UK
Publication date:	08/01/2014
Series:	Maths Frameworking
Edition description:	None
Pages:	360
Product dimensions:	10.30(w) x 7.20(h) x 0.30(d)
Age Range:	14 Years

Table of Contents

Introduction 4

1 Percentages 6

1.1 Simple interest 7

1.2 Percentage increases and decreases 10

1.3 Calculating the original value 14

1.4 Using percentages 17

Ready to progress? 20

Review questions 20

Challenge

Exponential growth 22

2 Equations and formulae 24

2.1 Multiplying out brackets 25

2.2 Factorising algebraic expressions 27

2.3 Equations with brackets 29

2.4 Equations with fractions 32

2.5 Rearranging formulae 35

Ready to progress? 38

Review questions 38

Investigation: Body mass index 40

3 Polygons 42

3.1 Angles in polygons 43

3.2 Constructions 47

3.3 Angles in regular polygons 51

3.4 Regular polygons and tessellations 53

Ready to progress? 56

Review questions 56

Activity: Garden design 58

4.1 Scatter graphs and correlation 61

4.2 Time-series graphs 65

4.3 Two-way tables 71

4.4 Comparing two or more sets of data 74

4.5 Statistical investigations 77

Ready to progress? 80

Review questions 80

Challenge: Rainforest deforestation 82

5 Applications of graphs 84

5.1 Step graphs 85

5.2 Time graphs 89

5.3 Exponential growth graphs 93

Ready to progress? 96

Review questions 96

Problem solving: Mobile phone tariffs 98

6 Pythagoras' theorem 100

6.1 Introducing Pythagoras' theorem 101

6.2 Calculating the length of the hypotenuse 102

6.3 Calculating the length of a shorter side 105

6.4 Using Pythagoras' theorem to solve problems 108

Ready to progress? 112

Review questions 112

Activity: Practical Pythagoras 114

7 Fractions 116

7.1 Adding and subtracting fractions 117

7.2 Multiplying fractions 119

7.3 Multiplying mixed numbers 121

7.4 Dividing fractions and mixed numbers 123

Ready to progress? 126

Review questions 126

Investigation: Fractions from one to six 128

8 Algebra 130

8.1 More about brackets 131

8.2 Factorising expressions containing powers 133

8.3 Expanding the product of two brackets 134

Ready to progress? 138

Review questions 138

Challenge: Graphs from expressions 140

9 Decimal numbers 142

9.1 Powers of 10 143

9.2 Standard form 146

9.3 Rounding appropriately 149

9.4 Mental calculations 152

9.5 Solving problems 155

Ready to progress? 158

Review questions 158

Mathematical reasoning: Paper 160

10 Prisms and cylinders 162

10.1 Metric units for area and volume 163

10.2 Volume of a prism 165

10.3 Surface area of a prism 168

10.4 Volume of a cylinder 172

10.5 Surface area of a cylinder 174

Ready to progress? 178

Review questions 178

Problem solving: Packaging cartons of fruit juice 180

11 Solving equations graphically 182

11.1 Graphs from equations in the form ay ± bx = c 183

11.2 Graphs from quadratic equations 185

11.3 Solving quadratic equations by drawing graphs 188

11.4 Solving simultaneous equations by graphs 190

Ready to progress? 192

Review questions 192

Challenge: Linear programming 194

12 Compound units 196

12.1 Speed 197

12.2 More about proportion 201

12.3 Unit costs 204

Ready to progress? 208

Review questions 208

Challenge: Population density 210

13 Right-angled triangles 212

13.1 Introducing trigonometric ratios 213

13.2 How to find trigonometric ratios of angles 216

13.3 Using trigonometric ratios to find angles 219

13.4 Using trigonometric ratios to find lengths 223

Ready to progress? 226

Review questions 226

Investigation: Barnes Wallis and the bouncing bomb 228

14 Revision and GCSE preparation 230

Practice 231

Revision 243

GCSE-type questions 250

Glossary 253

Index 255