## Description

**UNIT 1:**

Chapter 1: Reviewing Number Concept

1.1 Different types of numbers

1.2 Multiple and factors

1.3 Prime numbers

1.4 Power and roots

1.5 Working with directed numbers

1. 6 Order of operation

1.7 Rounding numbers

Chapter 2: Making sense of algebra

2.1 Using letters to represent unknown values

2.2 Substitution

2.3 Simplifying expression

2.4 Working with brackets

2.5 Indices

Chapter 3: Lines, angles and shapes

3.1 Lines and angles

3.2 Triangles

3.3 Quadrilaterals

3.4 Polygons

3.5 Circles

3.6 Construction

Chapter 4: Collecting, organising and displaying data

4.1 Collecting and classifying data

4.2 Organising data

4.3 Using charts to display data

**UNIT 2**

Chapter 5: Fractions and standard form

5.1 Equivalent fractions

5.2 Operations on fractions

5.3 Percentages

5.4 Standard form

5.5 Your calculator and standard form

5.6 Estimation

Chapter 6: Equations and rearranging formulae

6.1 Further expansions of brackets

6.2 Solving linear equations

6.3 Factorising algebraic expressions

6.4 Rearrangement of a formula

Chapter 7: Perimeter, area and volume

7.1 Perimeter and area in two dimensions

7.2 Three-dimensions objects

7.3 Surface areas and volumes of solids

Chapter 8: Introduction to probability

8.1 Basic probability

8.2 Theoretical probability

8.3 The probability that an event does not happen

8.4 Possibility diagrams

8.5 Combining independent and mutually exclusive events

**UNIT 3**

Chapter 9: Sequences and sets

9.1 Sequences

9.2 Rational and irrational numbers

9.3 Sets

Chapter 10: Straight lines and quadratic equations

10.1 Straight lines

10.2 Quadratic (and others) expressions

Chapter 11: Pythagoras’ theorem and similar shapes

11.1 Pythagoras’ theorem

11.2 Understanding similar triangles

11.3 Understanding similar shapes

11.4 Understanding congruence

Chapter 12: Average and measures of spread

12.1 Different types of average

12.2 Making comparisons using averages and ranges

12.3 Calculating averages and ranges for frequency data

12.4 Calculating averages and ranges for group continuous data

12.5 Percentiles and quartiles

12.6 Box-and-whisker plots

**Unit 4**

Chapter 13: Understanding measurement

13.1 Understanding units

13.2 Time

13.3 Upper and lower bounds

13.4 Conversion graphs

13.5 More money

Chapter 14: Further solving of equations and inequalities

14.1 Simultaneous linear equations

14.2 Linear inequalities

14.3 Regions in a plane

14.4 Linear programming

14.5 Completing the square

14.6 Quadratic formula

14.7 Factorising quadratics where the coefficient of* x²* is not 1

14.8 Algebraic fractions

Chapter 15: Scale drawings, bearings and trigonometry

15.1 Scale drawings

15.2 Bearings

15.3 Understanding the tangent, cosine and sine ratios

15.4 Solving problems using trigonometry

15.5 Sines, cosines and tangents of angles more than 90º

15.6 The sins and cosine rules

15.7 Area of a triangle

15.8 Trigonometry in three dimensions

Chapter 16: Scatter diagrams and correlation

16.1 Introduction to bivariate data

**UNIT 5**

Chapter 17: Managing money

17.1 Earning money

17.2 Borrowing and investing money

17.3 Buying and selling

Chapter 18: Curved graphs

18.1 Drawing quadratic graphs (the parabola)

18.2 Drawing reciprocal graphs (the hyperbola)

18.3 Using graphs to solve quadratic equations

18.4 Using graphs to solve simultaneous linear and non-linear equations

18.5 Other non-linear graphs

18.6 Finding the gradient of a curve

18.7 Derived functions

Chapter 19: Symmetry

19.1 Symmetry in two dimensions

19.2 Symmetry in three dimensions

19.3 Symmetry properties of circles

19.4 Angle relationships in circles

Chapter 20: Histograms and frequency distribution diagrams

20.1 Histograms

20.2 Cumulative frequency

**UNIT 6**

Chapter 21: Ratio, rate and proportion

21.1 Working with ratio

21.2 Ratio and scale

21.3 Rates

21.4 Kinematic graphs

21.5 Proportion

21.6 Direct and inverse proportion in algebraic terms

21.7 Increasing decreasing amounts by a given ratio

Chapter 22: More equations, formulae and functions

22.1 Setting up equations to solve problems

22.2 Using and transforming formulae

22.3 Functions and function notation

Chapter 23: Vector and transformations

23.1 Simple plane transformation

23.2 Vectors

23.3 Further transformations

Chapter 24: Probability using tree diagrams and Venn diagrams

24.1 Using tree diagrams to show outcomes

24.2 Calculating probability from tree diagrams

24.3 Calculating probability from Venn diagrams

24.4 Conditional probability