# Course: CGP • Mathematics for Key Stage Three • Book Three

### Table of Contents

• Number
• Section 1 Numbers and Arithmetic
• 1.1 Place Value and Ordering Decimals
• 1.2 Multiplying and Dividing with Decimals
• 1.3 Calculations with Negative Numbers
• 1.4 Calculators, BODMAS and Checking
• Section 2 Approximations
• 2.1 Rounding
• 2.2 Estimating
• Section 3 Powers
• 3.1 Power Lows
• 3.2 Standard Form
• 3.3 Roots
• Section 4 Multiples, Factors and Primes
• 4.1 Multiples and Factors
• 4.2 Prime Numbers
• Section 5 Fractions and Percentages
• 5.1 Adding and Subtracting Fractions
• 5.2 Multiplying and Dividing Fractions
• 5.3 Changing Fractions to Decimals and Percentages
• 5.4 Percentages of Amounts
• 5.5 Percentage Change
• Ratio, Proportion and Rates of Change
• Section 6 Ratio, Proportion and Rates of Change
• 6.1 Comparing Quantities Using Fractions and Ratios
• 6.2 Ratio Problems
• 6.3 Percentage Change Problems
• 6.4 Direct and Inverse Proportion
• Section 7 Units and Scales
• 7.1 Changing Units
• 7.2 Compound Measures—Speed and Density
• 7.3 Scale Drawings
• Algebra
• Section 8 Algebraic Expressions
• 8.1 Simplifying Expressions
• 8.2 Expanding Brackets
• 8.3 Factorising
• Section 9 Equations and Inequalities
• 9.1 Solving Equations
• 9.2 Inequalities
• Section 10 Formulas
• 10.1 Writing Formulas
• 10.2 Substituting into Formulas
• 10.3 Rearranging Formulas
• Section 11 Sequences
• 11.1 Arithmetic Sequences
• 11.2 Geometric and Other Sequences
• Section 12 Graphs and Equations
• 12.1 Plotting Graphs
• 12.2 Interpreting Linear Graphs
• 12.3 Modelling Using Graphs
• 12.4 Solving Equations Using Graphs
• Geometry and Measures
• Section 13 Angles and Shapes
• 13.1 Angle Rules
• 13.2 Polygons
• Section 14 Constructions
• 14.1 Constructions
• 14.2 Loci and Bearings
• Section 15 Perimeter, Area and Volume
• 15.1 Perimeter and Area
• 15.2 Volume and Surface Area
• Section 16 Transformations
• 16.1 Reflection, Rotation and Translation
• 16.2 Enlargement
• Section 17 Geometric Relationships
• 17.1 Pythagoras’ Theorem
• 17.2 Trigonometry
• 17.3 Geometric Relationships
• Probability
• Section 18 Probability
• 18.1 Probability Experiments
• 18.2 Theoretical Probabilities
• 18.3 Sets
• Statistics
• 19.1 Frequency Diagrams
• 19.2 Pie Charts
• 19.3 Scatter Graphs
• 19.4 Average and Range
• 19.5 Averages and Range from Tables

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