White Rose Maths - Key Stage 3 Maths Student Book 3

by Ian Davies (Editor), Caroline Hamilton (Editor)

Overview

Created in partnership with White Rose Maths, student book 3 for KS3 Maths follows the White Rose schemes of learning for Year 9 where mathematical concepts are broken down into small steps to help all pupils make progress. Written by White Rose teachers, it helps develop confident and capable mathematicians who can do and enjoy key stage 3 maths.The only official KS3 Maths White Rose textbook provides a UK-specific approach, which has been taught and refined in the classroom. It has been carefully planned and sequenced to support students as they progress through KS3 and prepare for GCSE. It helps all students to:· Experience a smooth and successful transition from KS2 to KS3 Maths that builds on ability and progress in primary maths· Master topics with content broken down into small, manageable steps which is interleaved and revisited in other contexts to aid memory and make connections· Secure conceptual understanding with models and visual representations· Embed strong mathematical foundations with detailed and clear explanations· Build fluency, reasoning and problem-solving skills with plenty of practice questions· Practise purposefully for deep understanding with ’What do you think?’ tasks· Reinforce learning with consolidation questions· Deepen knowledge with stretch questions· Boost progression with reflection questions· Check answers at the back of the bookAccompanied by high-quality professional development courses for teachers provided by White Rose Maths

Product Details

ISBN-13:	9780008400903
Publisher:	HarperCollins UK
Publication date:	12/01/2021
Pages:	592
Product dimensions:	7.56(w) x 10.43(h) x 1.40(d)
Age Range:	13 - 18 Years

About the Author

Caroline Hamilton is Head of White Rose Maths and Ian Davies is Head of Curriculum at White Rose. Both are dedicated to developing maths education for everyone and are still teaching in the classroom.

Table of Contents

Introduction v

Block 1 Straight line graphs 1

1.1 Plotting and reading graphs 2

1.2 Gradients and intercepts 12

1.3 Equations of lines 20

1.4 Further graphs H 30

Block 2 Forming and solving equations 39

2.1 Unknowns on one side 40

2.2 Inequalities with negative numbers 52

2.3 Unknowns on both sides 58

2.4 Solving problems with equations and inequalities 68

2.5 Rearranging formulae 77

Block 3 Testing conjectures 90

3.1 Properties of number 91

3.2 Looking for truth 97

3.3 The journey to proof (1) 106

3.4 The journey to proof (2) 116

3.5 Searching for pattern 128

Block 4 Three-dimensional shapes 135

4.1 Into three dimensions 136

4.2 Nets and other diagrams 147

4.3 Surface area (1) 160

4.4 Surface area (2) 174

4.5 Volume 185

Block 5 Constructions and congruency 202

5.1 Constructions so far 203

5.2 Introducing loci 218

5.3 Perpendiculars 227

5.4 More loci 237

5.5 Congruence 245

Block 6 Numbers 257

6.1 Working with numbers 258

6.2 Estimation 267

6.3 Solving problems with numbers 274

6.4 Fractions 285

6.5 Standard form 297

Block 7 Percentages 305

7.1 Percentage basics 306

7.2 Reverse percentages 318

7.3 Solving percentage problems 326

7.4 Repeated percentage change H 335

Block 8 Maths and money 342

8.1 Interpreting bills and statements 343

8.2 Interest 350

8.3 Taxes 357

8.4 Solving problems with money 364

Block 9 Deduction 375

9.1 Angles review 376

9.2 Chains of reasoning 385

9.3 Angles and algebra 394

9.4 Geometric conjectures 403

Block 10 Rotations and translations 415

10.1 Symmetry 416

10.2 Rotation 423

10.3 Translations and beyond 434

Block 11 Pythagoras' theorem 449

11.1 Working with right-angled triangles 450

11.2 Finding unknown sides 461

11.3 Beyond triangles 472

Block 12 Enlargement and similarity 482

12.1 Calculating with enlargement 483

12.2 Enlarging a shape (1) 492

12.3 Enlarging a shape (2) 504

12.4 More similarity (3) 518

Block 13 Solving ratio and proportion problems 532

13.1 Direct proportion review 533

13.2 Investigating inverse proportion 545

13.3 Ratio revisited 555

13.4 Best buys 563

Block 14 Rates 571

14.1 Speed, distance and time 572

14.2 Density and units 582

4.3 Rates and graphs 590

Block 15 Probability 600

15.1 Probability of one event 601

15.2 More than one event 610

15.3 Probabilities and tree diagrams H 620

Block 16 Algebraic representations 631

16.1 Further graphs 632

16.2 Simultaneous equations H 643

16.3 Graphs of inequalities 650

Block 17 Letting ready for Key Stags 4 658

17.1 Handling data review 659

17.2 Sequences review 665

17.3 Moving on with trigonometry 670

Glossary 677

Answers 681