BOOK
Edexcel GCSE (9-1) Mathematics: Foundation Practice, Reasoning and Problem-solving Book
Bola Abiloye | Gemma Batty | Phil Boor | Catherine Murphy | Claire Powis
(2017)
Additional Information
Book Details
Abstract
Exam Board: Edexcel
Level: GCSE
Subject: Maths
First teaching: September 2015
First exams: June 2017
- Problem-solving and reasoning questions included throughout.
- Exam-style questions give students exposure to the sort of questions they will need to answer in their exam.
- Problem-solving lessons build up strategies from the Student Book so that students need to choose the most appropriate strategy.
- Mixed problem-solving questions drawing on knowledge from this and previous chapters in the book give students the opportunity to practice using this strategy.
Table of Contents
| Section Title | Page | Action | Price |
|---|---|---|---|
| Cover | Cover | ||
| Acknowledgement | ii | ||
| Contents | iii | ||
| Chapter 1: Number | 1 | ||
| 1.1: Calculations | 1 | ||
| 1.2: Decimal numbers | 2 | ||
| 1.3: Place value | 2 | ||
| 1.4: Factors and multiples | 3 | ||
| 1.5: Squares, cubes and roots | 4 | ||
| 1.6: Index notation | 5 | ||
| 1.7: Prime factors | 6 | ||
| 1 Problem-solving | 7 | ||
| Chapter 2: Algebra | 8 | ||
| 2.1: Algebraic expressions | 8 | ||
| 2.2: Simplifying expressions | 8 | ||
| 2.3: Substitution | 9 | ||
| 2.4: Formulae | 10 | ||
| 2.5: Expanding brackets | 11 | ||
| 2.6: Factorising | 12 | ||
| 2.7: Using expressions and formulae | 13 | ||
| 2 Problem-solving | 14 | ||
| Chapter 3: Graphs, tables and charts | 16 | ||
| 3.1: Frequency tables | 16 | ||
| 3.2: Two-way tables | 16 | ||
| 3.3: Representing data | 18 | ||
| 3.4: Time series | 18 | ||
| 3.5: Stem and leaf diagrams | 19 | ||
| 3.6: Pie charts | 20 | ||
| 3.7: Scatter graphs | 22 | ||
| 3.8: Line of best fit | 23 | ||
| 3 Problem-solving | 23 | ||
| Chapter 4: Fractions and percentages | 25 | ||
| 4.1: Working with fractions | 25 | ||
| 4.2: Operations with fractions | 26 | ||
| 4.3: Multiplying fractions | 27 | ||
| 4.4: Dividing fractions | 28 | ||
| 4.5: Fractions and decimals | 28 | ||
| 4.6: Fractions and percentages | 29 | ||
| 4.7: Calculating percentages 1 | 30 | ||
| 4.8: Calculating percentages 2 | 31 | ||
| 4 Problem-solving | 32 | ||
| Chapter 5: Equations, inequalities and sequences | 34 | ||
| 5.1: Solving equations 1 | 34 | ||
| 5.2: Solving equations 2 | 35 | ||
| 5.3: Solving equations with brackets | 36 | ||
| 5.4: Introducing inequalities | 36 | ||
| 5.5: More inequalities | 37 | ||
| 5.6: Using formulae | 38 | ||
| 5.7: Generating sequences | 39 | ||
| 5.8: Using the nth term of a sequence | 40 | ||
| 5 Problem-solving | 41 | ||
| Chapter 6: Angles | 43 | ||
| 6.1: Properties of shapes | 43 | ||
| 6.2: Angles in parallel lines | 44 | ||
| 6.3: Angles in triangles | 45 | ||
| 6.4: Exterior and interior angles | 46 | ||
| 6.5: More exterior and interior angles | 48 | ||
| 6.6: Geometrical problems | 49 | ||
| 6 Problem-solving | 50 | ||
| Chapter 7: Averages and range | 52 | ||
| 7.1: Mean and range | 52 | ||
| 7.2: Mode, median and range | 53 | ||
| 7.3: Types of average | 54 | ||
| 7.4: Estimating the mean | 56 | ||
| 7.5: Sampling | 56 | ||
| 7 Problem-solving | 57 | ||
| Chapter 8: Perimeter, area and volume 1 | 59 | ||
| 8.1: Rectangles, parallelograms and triangles | 59 | ||
| 8.2: Trapezia and changing units | 60 | ||
| 8.3: Area of compound shapes | 61 | ||
| 8.4: Surface area of 3D solids | 62 | ||
| 8.5: Volume of prisms | 64 | ||
| 8.6: More volume and surface area | 64 | ||
| 8 Problem-solving | 66 | ||
| Chapter 9: Graphs | 67 | ||
| 9.1: Coordinates | 67 | ||
| 9.2: Linear graphs | 68 | ||
| 9.3: Gradient | 69 | ||
| 9.4: y = mx + c | 70 | ||
| 9.5: Real-life graphs | 71 | ||
| 9.6: Distance-time graphs | 72 | ||
| 9.7: More real-life graphs | 74 | ||
| 9 Problem-solving | 75 | ||
| Chapter 10: Transformations | 77 | ||
| 10.1: Translation | 77 | ||
| 10.2: Reflection | 78 | ||
| 10.3: Rotation | 79 | ||
| 10.4: Enlargement | 80 | ||
| 10.5: Describing enlargements | 81 | ||
| 10.6: Combining transformations | 82 | ||
| 10 Problem-solving | 83 | ||
| Chapter 11: Ratio and proportion | 85 | ||
| 11.1: Writing ratios | 85 | ||
| 11.2: Using ratios 1 | 85 | ||
| 11.3: Ratios and measures | 86 | ||
| 11.4: Using ratios 2 | 87 | ||
| 11.5: Comparing using ratios | 88 | ||
| 11.6: Using proportion | 90 | ||
| 11.7: Proportion and graphs | 90 | ||
| 11.8: Proportion problems | 92 | ||
| 11 Problem-solving | 92 | ||
| Chapter 12: Right-angled triangles | 94 | ||
| 12.1: Pythagoras' theorem 1 | 94 | ||
| 12.2: Pythagoras' theorem 2 | 95 | ||
| 12.3: Trigonometry: the sine ratio 1 | 96 | ||
| 12.4: Trigonometry: the sine ratio 2 | 97 | ||
| 12.5: Trigonometry: the cosine ratio | 98 | ||
| 12.6: Trigonometry: the tangent ratio | 99 | ||
| 12.7: Finding lengths and angles using trigonometry | 101 | ||
| 12 Problem-solving | 102 | ||
| Chapter 13: Probability | 103 | ||
| 13.1: Calculating probability | 103 | ||
| 13.2: Two events | 104 | ||
| 13.3: Experimental probability | 106 | ||
| 13.4: Venn diagrams | 107 | ||
| 13.5: Tree diagrams | 109 | ||
| 13.6: More tree diagrams | 110 | ||
| 13 Problem-solving | 112 | ||
| Chapter 14: Multiplicative reasoning | 113 | ||
| 14.1: Percentages | 113 | ||
| 14.2: Growth and decay | 114 | ||
| 14.3: Compound measures | 115 | ||
| 14.4: Distance, speed and time | 117 | ||
| 14.5: Direct and inverse proportion | 118 | ||
| 14 Problem-solving | 119 | ||
| Chapter 15: Constructions, loci and bearings | 120 | ||
| 15.1: 3D solids | 120 | ||
| 15.2: Plans and elevations | 121 | ||
| 15.3: Accurate drawings 1 | 122 | ||
| 15.4: Scale drawings and maps | 123 | ||
| 15.5: Accurate drawings 2 | 124 | ||
| 15.6: Constructions | 125 | ||
| 15.7: Loci and regions | 126 | ||
| 15.8: Bearings | 128 | ||
| 15 Problem-solving | 129 | ||
| Chapter 16: Quadratic equations and graphs | 131 | ||
| 16.1: Expanding double brackets | 131 | ||
| 16.2: Plotting quadratic graphs | 132 | ||
| 16.3: Using quadratic graphs | 134 | ||
| 16.4: Factorising quadratic expressions | 135 | ||
| 16.5: Solving quadratic equations algebraically | 136 | ||
| 16 Problem-solving | 137 | ||
| Chapter 17: Perimeter, area and volume 2 | 138 | ||
| 17.1: Circumference of a circle 1 | 138 | ||
| 17.2: Circumference of a circle 2 | 138 | ||
| 17.3: Area of a circle | 139 | ||
| 17.4: Semicircles and sectors | 140 | ||
| 17.5: Composite 2D shapes and cylinders | 142 | ||
| 17.6: Pyramids and cones | 143 | ||
| 17.7: Spheres and composite solids | 144 | ||
| 17 Problem-solving | 145 | ||
| Chapter 18: Fractions, indices and standard form | 147 | ||
| 18.1: Multiplying and dividing fractions | 147 | ||
| 18.2: The laws of indices | 147 | ||
| 18.3: Writing large numbers in standard form | 148 | ||
| 18.4: Writing small numbers in standard form | 149 | ||
| 18.5: Calculating with standard form | 150 | ||
| 18 Problem-solving | 152 | ||
| Chapter 19: Congruence, similarity and vectors | 153 | ||
| 19.1: Similarity and enlargement | 153 | ||
| 19.2: More similarity | 154 | ||
| 19.3: Using similarity | 155 | ||
| 19.4: Congruence 1 | 156 | ||
| 19.5: Congruence 2 | 157 | ||
| 19.6: Vectors 1 | 158 | ||
| 19.7: Vectors 2 | 159 | ||
| 19 Problem-solving | 159 | ||
| Chapter 20: More algebra | 161 | ||
| 20.1: Graphs of cubic and reciprocal functions | 161 | ||
| 20.2: Non-linear graphs | 162 | ||
| 20.3: Solving simultaneous equations graphically | 164 | ||
| 20.4: Solving simultaneous equations algebraically | 164 | ||
| 20.5: Rearranging formulae | 165 | ||
| 20.6: Proof | 167 | ||
| 20 Problem-solving | 168 |