STP Caribbean Mathematics Book 2

US$ 26.99

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Description

Contents

Reviews

Language

English

ISBN

9780198426554

Front Cover

Title Page

Contents

Introduction

1 Working with numbers

Working with integers

Laws of numbers

The identity element

The inverse element

Closure

Changing between fractions, decimals and percentages

Positive indices

Multiplying numbers written in index form

Dividing numbers written in index form

Mixed questions on indices

Standard form

Changing numbers into standard form

Approximations: whole numbers

Approximations: decimals

Significant figures

Rough estimates

Calculations: multiplication and division

Mixed exercises

2 Number bases

Denary system (base ten)

Base five

Other bases

Addition, subtraction and multiplication

Harder examples

Binary numbers

Mixed exercises

3 Algebra

Equations

Equations with letter terms on both sides

Equations containing like terms

Brackets

Directed numbers

Formulae

Substituting numerical values into a formula

Problems

Expressions, equations and formulae

Mixed exercises

4 Inequalities

Inequality notation

Using a number line to illustrate inequalities

Solving inequalities

Using set builder notation

5 Sets

Set notation

Finite, infinite, equal and empty sets

Universal sets

Subsets

Venn diagrams

Union and intersection of two sets

Simple problems involving Venn diagrams

Complement of a set

Using algebra and Venn diagrams to solve problems

6 Relations

Relations

Domain and range

Mapping diagrams

Types of relation

Using tables

Equations

REVIEW TEST 1 : CHAPTERS 1–6

7 Coordinate geometry

Plotting points using positive coordinates

Negative coordinates

Straight lines

The equation of a straight line

Plotting the graph of a given equation

Gradient of a straight line

Lines that do not pass through the origin

Lines parallel to the axes

Illustrating inequalities in the Cartesian plane

8 Reflections and translations

Transformations

Line symmetry

Two or more lines of symmetry

Reflections

Finding the mirror line

Construction of the mirror line

Vectors

Representing vectors

Capital letter notation

Translations

Using vectors to describe translations

9 Measurement

Units of length

Units of mass

Conversion graphs

10 Circles: circumference and area

Diameter, radius and circumference

Introducing π

Calculating the circumference

Problems

Finding the radius of a circle given the circumference

The area of a circle

Problems

Mixed exercises

11 Volume and capacity

Volume

Cubic units

Volume of a cuboid

Changing units of volume

Capacity

Nets

Mixed units

Problems involving cuboids

Volume of a prism

Volume of a cylinder

Compound shapes

Mixed exercises

REVIEW TEST 2: CHAPTERS 7–11

12 Ratio and proportion

Simplifying ratios

Relative sizes

Problems

Finding missing quantities

Problems

Division in a given ratio

Map ratio (or representative fraction)

Proportion

Speed, time and distance

Calculating the time taken

Average speed

Finding distance from a graph

Drawing travel graphs

Information from a travel graph

Mixed exercises

13 Consumer arithmetic

Percentage increase

Percentage decrease

Problems

Mixed exercise

Hire-purchase

Wages

Commission

Exchange rates

Telephone bills

Electricity: kilowatt-hours

Electricity bills

Mixed exercises

14 Geometry

Parallel lines

Corresponding angles

Drawing parallel lines (using a protractor)

Problems involving corresponding angles

Using angle facts

Alternate angles

Problems involving alternate angles

Interior angles

The exterior angle of a triangle

Polygons

Regular polygons

Convex and concave polygons

Interior angles

Exterior angles

The sum of the exterior angles of a polygon

Mixed exercises

15 Constructions

Angles and triangles

Constructing angles without using a protractor

To construct an angle of 60°

Bisecting angles

Construction of angles of 60°, 30°, 90°, 45°

To construct an angle equal to a given angle

Construction to bisect a line

Dropping a perpendicular from a point to a line

Constructing triangles

16 Statistics

Pie charts

Interpreting pie charts

Mean, mode and median

Finding the mode from a frequency table

Finding the mean from a frequency table

Finding the median from a frequency table

Line graphs

Categorical data

Numerical data

Discrete and continuous data

Histograms

REVIEW TEST 3: CHAPTERS 12–16

REVIEW TEST 4: CHAPTERS 1–16

Glossary

Answers

Index

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