Essential Mathematics for Cambridge Secondary 1: Stage 8

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Description

Contents

Reviews

Language

English

ISBN

9780198366232

Front Cover

Title Page

Contents

Introduction

1 Integers, powers and roots

1.1 Working with integers

1.2 Division and mental strategies

1.3 Order of operations

1.4 Powers

1.5 Roots

1.6 Prime factors

1.7 Highest common factors and lowest common multiples

2 Expressions

2.1 Using letters for unknown numbers

2.2 Multiplying algebraic terms

2.3 Collecting like terms

2.4 Expanding brackets

2.5 Substitution into an expression

3 Shapes and geometric reasoning 1

3.1 Parallel lines

3.2 Angles and triangles

3.3 Congruent shapes

3.4 Quadrilaterals

3.5 Classification of quadrilaterals

3.6 Nets of solids

3.7 Symmetry

4 Fractions

4.1 Comparing fractions

4.2 Addition and subtraction of fractions and mixed numbers

4.3 Multiplying and dividing an integer by a fraction

5 Decimals

5.1 Integer powers of 10

5.2 Rounding

5.3 Calculating with decimals

5.4 Fractions and decimals

6 Processing, interpreting and discussing data

6.1 Calculating statistics from data sets

6.2 Calculating statistics from grouped data

6.3 Making comparisons

7 Length, mass and capacity

7.1 The metric system

7.2 Area and volume

7.3 Non-metric units

8 Equations

8.1 Solving equations using flow diagrams

8.2 Solving equations with the unknown on one side

8.3 Solving equations with the unknown on both sides

9 Shapes and geometric reasoning 2

9.1 Constructions

9.2 Triangles

9.3 Circles

9.4 Scale drawings

10 Presenting, interpreting and discussing data

10.1 Frequency diagrams for grouped data

10.2 Pie charts

10.3 Line graphs

10.4 Stem-and-leaf diagrams

11 Area, perimeter and volume

11.1 Circles

11.2 Area of a parallelogram

11.3 Area of a triangle

11.4 Area of a trapezium

11.5 Area of a circle

11.6 Compound areas

12 Formulae

12.1 Deriving formulae

12.2 Substitution into formulae

12.3 Further substitution into formulae

13 Position and movement

13.1 Transformations

13.2 Enlargement

13.3 Midpoints

14 Sequences

14.1 Linear sequences of numbers

14.2 Linear sequences from patterns of shapes

14.3 The nth term of a linear sequence of numbers

15 Probability

15.1 Calculating probabilities

15.2 Listing outcomes

15.3 Estimating probabilities

16 Functions and graphs

16.1 Mapping diagrams

16.2 Functions

16.3 Linear graphs

16.4 Finding the equation of a line from its graph

16.5 Equations of the form y = mx + c

17 Fractions, decimals and percentages

17.1 Finding equivalent fractions, decimals and percentages

17.2 Increasing and decreasing by a percentage

17.3 Finding percentages

18 Planning and collecting data

18.1 Identifying and collecting data

18.2 Frequency tables for continuous data

18.3 Two-way tables

19 Ratio and proportion

19.1 More ratio

19.2 Dividing in a given ratio

19.3 Direct proportion – the unitary method

20 Time and rates of change

20.1 Travel graphs

20.2 Other graphs

21 Sets

21.1 Set notation

21.2 Further set notation

21.3 Using sets to solve problems

22 Matrices

22.1 Multiplying a row matrix by a column matrix

22.2 Multiplying matrices

22.3 2 × 2 matrices

Glossary

Index

Back Cover

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