## KS3 Maths Progress Student Book Delta 2

(2016)

### Abstract

Highly motivating differentiated Student Books develop confidence, fluency and problem-solving, supporting progression:

• Full ability range: Alpha (Access), Pi (Tier 1), Theta (Tier 2) and Delta (Tier 3)
• Unit structure based on mastery lessons, formative test, consolidation and extension lessons and a summative unit test
• Reflection (metacognition) is explicitly encouraged to build perseverance and confidence
• STEM and Finance lessons highlight these important links to using maths in real life
• Reasoning and Problem-solving are nurtured in preparation for progressing to GCSE

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### Table of Contents

Section Title Page Action Price
Cover Cover
Contents iii
Course introduction vi
Welcome to KS3 Maths Progress student books viii
Unit 1: Factors and powers 1
1.1: Prime factor decomposition 1
1.2: Laws of indices 4
1.3: STEM: Powers of 10 6
1.4: Calculating and estimating 8
1 Check up 11
1 Strengthen 13
1 Extend 17
1 Unit test 21
Unit 2: Working with powers 23
2.1: Simplifying expressions 23
2.2: More simplifying 25
2.3: Expanding and factorising expressions 27
2.4: Substituting and solving 30
2 Check up 33
2 Strengthen 35
2 Extend 39
2 Unit test 43
Unit 3: 2D shapes and 3D solids 45
3.1: Plans and elevations 45
3.2: Surface area of prisms 48
3.3: Volume of prisms 50
3.4: Circumference of a circle 52
3.5: Area of a circle 55
3.6: Cylinders 58
3.7: Pythagorasâ€™ theorem 60
3 Check up 63
3 Strengthen 65
3 Extend 69
3 Unit test 73
Unit 4: Real life graphs 75
4.1: Direct proportion 75
4.2: FINANCE: Interpreting financial graphs 78
4.3: Distance-time graphs 81
4.4: Rates of change 84
4.5: Misleading graphs 87
4 Check up 89
4 Strengthen 91
4 Extend 95
4 Unit test 99
Unit 5: Transformations 101
5.1: Reflection and translation 101
5.2: Rotation 104
5.3: Enlargement 107
5.4: More enlargement 109
5.5: STEM: Combining transformations 111
5.6: 2D shapes and 3D solids 114
5 Check up 117
5 Strengthen 119
5 Extend 123
5 Unit test 127
Unit 6: Fractions, decimals and percentages 129
6.1: Recurring decimals 129
6.2: Using percentages 131
6.3: Percentage change 133
6.4: FINANCE: Repeated percentage change 135
6 Check up 137
6 Strengthen 139
6 Extend 143
6 Unit test 147
Unit 7: Constructions and loci 149
7.1: Accurate drawings 149
7.2: Constructing shapes 152
7.3: Constructions 1 154
7.4: Constructions 2 157
7.5: Loci 159
7 Check up 161
7 Strengthen 163
7 Extend 167
7 Unit test 171
Unit 8: Probability 173
8.1: Comparing probabilities 173
8.2: Mutually exclusive events 176
8.3: Estimating probability 179
8.4: Experimental probability 182
8.5: Probability diagrams 184
8.6: Tree diagrams 186
8 Check up 189
8 Strengthen 191
8 Extend 195
8 Unit test 199
Unit 9: Scale drawings and measures 201
9.1: Maps and scales 201
9.2: Bearings 203
9.3: Scales and ratio 205
9.4: Congruent and similar shapes 207
9.5: Solving geometry problems 210
9 Check up 213
9 Strengthen 215
9 Extend 219
9 Unit test 223
Unit 10: Graphs 225
10.1: Plotting linear graphs 225
10.2: The gradient 228
10.3: y = mx+c 231
10.4: Parallel and perpendicular lines 233
10.5: Inverse functions 235
10.6: STEM: Non-linear graphs 237
10 Check up 239
10 Strengthen 241
10 Extend 246
10 Unit test 250
Index 253