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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