Essential Mathematics for Cambridge Secondary 1: Stage 9

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Description

Contents

Reviews

Language

English

ISBN

9780198366249

Front Cover

Title Page

Contents

Introduction

1 Integers, powers and roots

1.1 Review of directed numbers

1.2 Square and cube roots

1.3 Powers and indices

1.4 Negative indices

1.5 Order of operations

2 Expressions

2.1 Multiplying and dividing algebraic expressions

2.2 The index laws

2.3 Factorising

2.4 Adding and subtracting algebraic fractions

2.5 Substitution into expressions

2.6 Expanding double brackets

2.7 Constructing expressions

3 Shapes and geometric reasoning 1

3.1 Polygons

3.2 More polygons

3.3 Angles and lines

4 Fractions

4.1 Addition and subtraction

4.2 Multiplying fractions

4.3 Dividing fractions

5 Decimals

5.1 Integer powers of 10

5.2 Dividing by a decimal

5.3 Multiplying with decimals

5.4 Rounding

6 Processing, interpreting and discussing data

6.1 Finding average values for large data sets

6.2 Selecting the most appropriate average

7 Length, mass and capacity

7.1 Converting metric units

7.2 Converting imperial units

8 Equations and inequalities

8.1 Solving linear equations

8.2 Representing inequalities on a number line

8.3 Solving linear inequalities

8.4 Trial and improvement

8.5 Simultaneous equations

9 Shapes and geometric reasoning 2

9.1 Three dimensions

9.2 Reflection symmetry in three dimensions

9.3 Construction of lines

9.4 Construction of polygons

9.5 Maps and bearings

10 Presenting, interpreting and discussing data

10.1 Scatter diagrams and correlation

10.2 Back to back stem-and-leaf diagrams

10.3 Comparing distributions

11 Area, perimeter and volume

11.1 Area

11.2 Volume

11.3 Circles

11.4 Prisms and cylinders

12 Formulae

12.1 Deriving formulae and substituting numbers into formulae

12.2 Changing the subject of a formula

12.3 Formulae involving negative x terms

12.4 Formulae involving fractions

12.5 Formulae involving squares and square roots

13 Position and movement

13.1 Tessellation

13.2 Loci

13.3 Describing transformations

13.4 Enlargements

14 Sequences

14.1 Using the term-to-term rule

14.2 Using the position-to-term rule

14.3 The nth term of an arithmetic sequence

15 Probability

15.1 Mutually exclusive outcomes

15.2 Sample space diagrams

15.3 Experimental probability

16 Functions and graphs

16.1 Gradients

16.2 Straight-line graphs of the form ax 1 by 5 c

16.3 Using graphs to solve simultaneous equations

16.4 The general equation of a straight line

16.5 Finding the inverse of a function

16.6 Functions arising from real-life problems

16.7 Direct proportion

17 Fractions, decimals and percentages

17.1 Percentage change

17.2 More calculating with percentages

18 Planning and collecting data

18.1 Planning

18.2 Data collection sheets

19 Ratio and proportion

19.1 Ratio review

19.2 Comparing ratios

19.3 Proportionality

20 Time and rates of change

20.1 Average speed

20.2 Compound measures

21 Pythagoras’ theorem

21.1 Pythagoras’ theorem

21.2 Applications of Pythagoras’ theorem

22 Trigonometry

22.1 Naming the sides in a right-angled triangle

22.2 Finding a side using the tangent ratio

22.3 Finding an angle using the tangent ratio

22.4 Finding a side using sine, cosine or tangent

22.5 Finding an angle using sine, cosine or tangent

23 Matrices andtransformations

23.1 Multiplying matrices

23.2 Transforming a shape by a matrix

23.3 Combined transformations

Glossary

Index

Back Cover

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