STP Caribbean Mathematics Book 1

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Description

Contents

Reviews

Language

English

ISBN

9780198426509

Contents

Introduction

1 Whole number arithmetic

Place value

Continuous addition

Addition of whole numbers

Subtraction of whole numbers

Mixed addition and subtraction

Approximation

Multiplication of whole numbers

Multiplication by 10, 100, 1000, …

Long multiplication

Using a calculator for long multiplication

Division of whole numbers

Division by 10, 100, 1000, …

Mixed operations of +, −, ×, ÷

Using brackets

Number patterns

Types of number

Mixed exercises

2 Factors and indices

Factors

Multiples

Prime numbers

Indices

Place values and powers of ten

Expressing a number as a product in index form

Finding prime factors

Expressing a number as a product of prime factors

Highest Common Factor (HCF)

Lowest Common Multiple (LCM)

Problems involving HCFs and LCMs

3 Sets

Set notation

Describing members

The symbol ∈

The symbol ∉

Finite and infinite sets

Equal sets

Equivalent sets

Empty set

Subsets

The universal set

Venn diagrams

Union of two sets

Intersection of sets

4 Introduction to geometry

Terms used in geometry

Plane figures

Special quadrilaterals

Tessellations

Solids

Nets

5 Fractions: addition and subtraction

The meaning of fractions

One quantity as a fraction of another

Equivalent fractions

Comparing the sizes of fractions

Simplifying fractions

Adding fractions

Fractions with different denominators

Subtracting fractions

Adding and subtracting fractions

Problems

Mixed numbers and improper fractions

The meaning of 13 ÷ 5

Adding mixed numbers

Subtracting mixed numbers

Mixed exercises

6 Fractions: multiplication and division

Multiplying fractions

Simplifying

Multiplying mixed numbers

Whole numbers as fractions

Fractions of quantities

Dividing by fractions

Dividing by whole numbers and mixed numbers

Mixed multiplication and division

Mixed operations

Problems

Mixed exercises

7 Geometry 1

Fractions of a revolution

Compass directions

Angles

Right angles

Acute, obtuse and reflex angles

Degrees

Using a protractor to measure angles

Mixed questions

Drawing angles using a protractor

Vertically opposite angles

Angles on a straight line

Complementary angles

Supplementary angles

Angles at a point

Problems

Mixed exercises

Review test 1: Chapters 1–7

8 Introduction to decimals

The meaning of decimals

Changing decimals to fractions

Changing fractions to decimals

Addition of decimals

Subtraction of decimals

Multiplication by 10, 100, 1000, …

Division by 10, 100, 1000, …

Mixed multiplication and division

Mixed exercises

9 Multiplication and division of decimals

Long method of multiplication

Short method of multiplication

Multiplication

Division by whole numbers

Long division

Changing fractions to decimals (exact values)

Standard decimals and fractions

Problems

Recurring decimals

Dot notation

Correcting to a given number of decimal places

Changing fractions to decimals

Division by decimals

Mixed multiplication and division

Relative sizes

Mixed exercises

10 Statistics

Frequency tables

Bar charts

Pictographs

Drawing pictographs

Averages

The arithmetic average or mean

Mode

Median

Collecting data

Mixed exercises

11 Directed numbers

Positive and negative numbers

The number line

Addition and subtraction of positive numbers

Addition and subtraction of negative numbers

Addition and subtraction of directed numbers

Multiplication of directed numbers

Division of directed numbers

Mixed exercises

12 Algebra 1

The idea of algebra

Expressions

Simplifying expressions

Brackets

Indices

Multiplication and division of algebraic fractions

Substituting numbers into expressions

Mixed exercises

13 Geometry 2

Constructions

Using a pair of compasses

Drawing straight lines of a given length

Triangles

Angles of a triangle

Problems

Constructing triangles given one side and two angles

Constructing triangles given two sides and the angle between the two sides

Constructing triangles given the lengths of three sides

Quadrilaterals

Drawing quadrilaterals

Some special triangles: equilateral and isosceles

Mixed exercises

Review test 2: Chapters 8–13

14 Introducing percentages

Expressing percentages as fractions

Expressing fractions and decimals as percentages

Problems

Expressing one quantity as a percentage of another

Finding a percentage of a quantity

Problems

Mixed exercises

15 Units of measurement

The need for standard units

Units of length

Some uses of metric units of length

Changing from large units to smaller units

Units of mass

Mixed units

Changing from small units to larger units

Multiplying metric units

Problems

Imperial units of length

Imperial units of mass

Rough equivalence between metric and imperial units

Time

Temperature

Mixed exercises

16 Symmetry, reflections and translations

Line symmetry

Congruency

Two lines of symmetry

Three or more lines of symmetry

Reflections

Translations

Mixed exercise

17 Area and perimeter

Counting squares

Units of area

Area of a square

Area of a rectangle

Compound figures

Perimeter

Problems

Changing units of area

Mixed problems

18 Areas of parallelograms and triangles

Area of a rectangle

Finding a length when the area is given

Area of a parallelogram

Area of a triangle

Height of a triangle

Finding areas of triangles

Finding missing measurements

Compound shapes

Mixed exercises

19 Algebra 2

The idea of equations

Solving equations

Multiples of x

Mixed operations

Two operations

Problems

Brackets

Equations containing brackets

Problems to be solved by forming equations

Mixed exercises

20 Sequences

Sequences

Finding an expression for the nth term of a sequence

21 Consumer arithmetic

Cash

Best buys

Sales tax

Discount

Profit and loss

Finding simple interest

Amount

Mixed exercises

Review test 3: Chapters 14–21

Review test 4: Chapters 1–21

Glossary

Answers

Index

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