AQA GCSE Maths: Higher
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Description
Contents
Reviews
Language
English
ISBN
9780198376828
Front Cover
Title Page
Contents
About this book
1 Calculations 1
Skills 1.1 Place value and rounding
Fluency
Applications 1.1 Place value and rounding
Reasoning and problem solving
Skills 1.2 Adding and subtracting
Fluency
Applications 1.2 Adding and subtracting
Reasoning and problem solving
Skills 1.3 Multiplying and dividing
Fluency
Applications 1.3 Multiplying and dividing
Reasoning and problem solving
Summary
Review
Assessment 1
2 Expressions
Skills 2.1 Simplifying expressions
Fluency
Applications 2.1 Simplifying expressions
Reasoning and problem solving
Skills 2.2 Indices
Fluency
Applications 2.2 Indices
Reasoning and problem solving
Skills 2.3 Expanding and factorising 1
Fluency
Applications 2.3 Expanding and factorising 1
Reasoning and problem solving
Skills 2.4 Algebraic fractions
Fluency
Applications 2.4 Algebraic fractions
Reasoning and problem solving
Summary
Review
Assessment 2
3 Angles and polygons
Skillls 3.1 Angles and lines
Fluency
Applications 3.1 Angles and lines
Reasoning and problem solving
Skills 3.2 Triangles and quadrilaterals
Fluency
Applications 3.2 Triangles and quadrilaterals
Reasoning and problem solving
Skills 3.3 Congruence and similarity
Fluency
Applications 3.3 Congruence and similarity
Reasoning and problem solving
Skills 3.4 Polygon angles
Fluency
Applications 3.4 Polygon angles
Reasoning and problem solving
Summary
Review
Assessment 3
4 Handling data 1
Skills 4.1 Representing data 1
Fluency
Applications 4.1 Representing data 1
Reasoning and problem solving
Skills 4.2 Averages and spread 1
Fluency
Applications 4.2 Averages and spread 1
Reasoning and problem solving
Skills 4.3 Frequency diagrams
Fluency
Applications 4.3 Frequency diagrams
Reasoning and problem solving
Summary
Review
Assessment 4
5 Fractions, decimalsand percentages
Skills 5.1 Fractions and percentages
Fluency
Applications 5.1 Fractions and percentages
Reasoning and problem solving
Skills 5.2 Calculations with fractions
Fluency
Applications 5.2 Calculations with fractions
Reasoning and problem solving
Skills 5.3 Fractions, decimals and percentages
Fluency
Applications 5.3 Fractions, decimals and percentages
Reasoning and problem solving
Summary
Review
Assessment 5
Life skills 1: The business plan
6 Formulae and functions
Skills 6.1 Formulae
Fluency
Applications 6.1 Formulae
Reasoning and problem solving
Skills 6.2 Functions
Fluency
Applications 6.2 Functions
Reasoning and problem solving
Skills 6.3 Equivalences in algebra
Fluency
Applicaions 6.3 Equivalences in algebra
Reasoning and problem solving
Skills 6.4 Expanding and factorising 2
Fluency
Applications 6.4 Expanding and factorising 2
Reasoning and problem solving
Summary
Review
Assessment 6
Revision 1
7 Working in 2D
Skills 7.1 Measuring lengths and angles
Fluency
Applications 7.1 Measuring lengths and angles
Reasoning and problem solving
Skills 7.2 Area of a 2D shape
Fluency
Applications 7.2 Area of a 2D shape
Reasoning and problem solving
Skills 7.3 Transformations 1
Fluency
Applications 7.3 Transformations 1
Reasoning and problem solving
Skills 7.4 Transformations 2
Fluency
Applications 7.4 Transformations 2
Reasoning and problem solving
Summary
Review
Assessment 7
8 Probability
Skills 8.1 Probability experiments
Fluency
Applications 8.1 Probability experiments
Reasoning and problem solving
Skills 8.2 Theoretical probability
Fluency
Applications 8.2 Theoretical probability
Reasoning and problem solving
Skills 8.3 Mutually exclusive events
Fluency
Applications 8.3 Mutually exclusive events
Reasoning and problem solving
Summary
Review
Assessment 8
9 Measures and accuracy
Skills 9.1 Estimation and approximation
Fluency
Applications 9.1 Estimation and approximation
Reasoning and problem solving
Skills 9.2 Calculator methods
Fluency
Applications 9.2 Calculator methods
Reasoning and problem solving
Skills 9.3 Measures and accuracy
Fluency
Applications 9.3 Measures and accuracy
Reasoning and problem solving
Summary
Review
Assessment 9
10 Equations and inequalities
Skills 10.1 Solving linear equations
Fluency
Applications 10.1 Solving linear equations
Reasoning and problem solving
Skills 10.2 Quadratic equations
Fluency
Applications 10.2 Quadratic equations
Reasoning and problem solving
Skills 10.3 Simultaneous equations
Fluency
Applications 10.3 Simultaneous equations
Reasoning and problem solving
Skills 10.4 Approximate solutions
Fluency
Applications 10.4 Approximate solutions
Reasoning and problem solving
Skills 10.5 Inequalities
Fluency
Applications 10.5 Inequalities
Reasoning and problem solving
Summary
Review
Assessment 10
Life skills 2: Starting the business
11 Circles and constructions
Skills 11.1 Circles 1
Fluency
Applications 11.1 Circles 1
Reasoning and problem solving
Skills 11.2 Circles 2
Fluency
Applications 11.2 Circles 2
Reasoning and problem solving
Skills 11.3 Circle theorems
Fluency
Applications 11.3 Circle theorems
Reasoning and problem solving
Skills 11.4 Constructions and loci
Fluency
Applications 11.4 Constructions and loci
Reasoning and problem solving
Summary
Review
Assessment 11
12 Ratio and proportion
Skills 12.1 Proportion
Fluency
Applications 12.1 Proportion
Reasoning and problem solving
Skills 12.2 Ratio and scales
Fluency
Applications 12.2 Ratio and scales
Reasoning and problem solving
Skills 12.3 Percentage change
Fluency
Applications 12.3 Percentage change
Reasoning and problem solving
Summary
Review
Assessment 12
Revision 2
13 Factors, powersand roots
Skills 13.1 Factors and multiples
Fluency
Applications 13.1 Factors and multiples
Reasoning and problem solving
Skills 13.2 Powers and roots
Fluency
Applications 13.2 Powers and roots
Reasoning and problem solving
Skills 13.3 Surds
Fluency
Applications 13.3 Surds
Reasoning and problem solving
Summary
Review
Assessment 13
14 Graphs 1
Skills 14.1 Equation of a straight line
Fluency
Applications 14.1 Equation of a straight line
Reasoning and problem solving
Linear and quadratic functions
Skills 14.2 Linear and quadratic functions
Fluency
Applications 14.2 Linear and quadratic functions
Reasoning and problem solving
Skills 14.3 Properties of quadratic functions
Fluency
Applications 14.3 Properties of quadratic functions
Reasoning and problem solving
Skills 14.4 Kinematic graphs
Fluency
Applications 14.4 Kinematic graphs
Reasoning and problem solving
Summary
Review
Assessment 14
15 Working in 3D
Skills 15.1 3D shapes
Fluency
Applications 15.1 3D shapes
Reasoning and problem solving
Skills 15.2 Volume of a prism
Fluency
Applications 15.2 Volume of a prism
Reasoning and problem solving
Skills 15.3 Volume and surface area
Fluency
Applications 15.3 Volume and surface area
Reasoning and problem solving
Summary
Review
Assessment 15
Life skills 3: Getting ready
16 Handling data 2
Skills 16.1 Averages and spread 2
Fluency
Applications 16.1 Averages and spread 2
Reasoning and problem solving
Skills 16.2 Box plots and cumulative frequency graphs
Fluency
Applications 16.2 Box plots and cumulative frequency graphs
Reasoning and problem solving
Skills 16.3 Scatter graphs and correlation
Fluency
Applications 16.3 Scatter graphs and correlation
Reasoning and problem solving
Skills 16.4 Time series
Fluency
Applications 16.4 Time series
Reasoning and problem solving
Summary
Review
Assessment 16
17 Calculations 2
Skills 17.1 Calculating with rootsand indices
Fluency
Applications 17.1 Calculating with roots and indices
Reasoning and problem solving
Skills 17.2 Exact calculations
Fluency
Applications 17.2 Exact calculations
Reasoning and problem solving
Skills 17.3 Standard form
Fluency
Applications 17.3 Standard form
Reasoning and problem solving
Summary
Review
Assessment 17
18 Graphs 2
Skills 18.1 Cubic and reciprocal functions
Fluency
Applications 18.1 Cubic and reciprocal functions
Reasoning and problem solving
Skills 18.2 Exponential and trigonometric functions
Fluency
Applications 18.2 Exponential and trigonometric functions
Reasoning and problem solving
Skills 18.3 Real-life graphs
Fluency
18.3 Real-life graphs
Reasoning and problem solving
Skills 18.4 Gradients and areas under graphs
Fluency
Applications 18.4 Gradients and areas under graphs
Reasoning and problem solving
Skills 18.5 Equation of a circle
Fluency
Applications 18.5 Equation of a circle
Reasoning and problem solving
Summary
Review
Assessment 18
Revision 3
19 Pythagoras,trigonometry and vectors
Skills 19.1 Pythagoras’ theorem
Fluency
Applications 19.1 Pythagoras’ theorem
Reasoning and problem solving
Skills 19.2 Trigonometry 1
Fluency
Applications 19.2 Trigonometry 1
Reasoning and problem solving
Skills 19.3 Trigonometry 2
Fluency
Applications 19.3 Trigonometry 2
Reasoning and problem solving
Skills 19.4 Pythagoras and trigonometry problems
Fluency
Applications 19.4 Pythagoras and trigonometry problems
Reasoning and problem solving
Skills 19.5 Vectors
Fluency
Applications 19.5 Vectors
Reasoning and problem solving
Summary
Review
Assessment 19
20 The probability ofcombined events
Skills 20.1 Sets
Fluency
Applications 20.1 Sets
Reasoning and problem solving
Skills 20.2 Possibility spaces
Fluency
Applications 20.2 Possibility spaces
Reasoning and problem solving
Skills 20.3 Tree diagrams
Fluency
Applications 20.3 Tree diagrams
Reasoning and problem solving
Skills 20.4 Conditional probability
Fluency
Applications 20.4 Conditional probability
Reasoning and problem solving
Summary
Review
Assessment 20
Life skills 4: The launch party
21 Sequences
Skills 21.1 Linear Sequences
Fluency
Applications 21.1 Linear Sequences
Reasoning and problem solving
Skills 21.2 Quadratic sequences
Fluency
Applications 21.2 Quadratic sequences
Reasoning and problem solving
Skills 21.3 Special sequences
Fluency
Applications 21.3 Special sequences
Reasoning and problem solving
Summary
Review
Assessment 21
22 Units andproportionality
Skills 22.1 Compound units
Fluency
Applications 22.1 Compound units
Reasoning and problem solving
Skills 22.2 Converting between units
Fluency
Applications 22.2 Converting between units
Reasoning and problem solving
Skills 22.3 Direct and inverse proportion
Fluency
Applications 22.3 Direct and inverse proportion
Reasoning and problem solving
Skills 22.4 Rates of change
Fluency
Applications 22.4 Rates of change
Reasoning and problem solving
Skills 22.5 Growth and decay
Fluency
Applications 22.5 Growth and decay
Reasoning and problem solving
Summary
Review
Assessment 22
Revision 4
Formulae
Key phrases and terms
Answers
Index
Back Cover
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