Edexcel International GCSE (9-1) Mathematics Student Book Third Edition
US$ 56.39
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Description
Contents
Reviews
Language
English
ISBN
9781398363793
Cover
Title Page
Copyright
Contents
Introduction
1 Fractions, decimals and rounding
Starter: Half and half
1.1 Equivalent fractions
1.2 Multiplying and dividing with fractions
1.3 Decimals and fractions
1.4 Rounding and approximation
1.5 Rounding calculator answers
1.6 Upper and lower bounds
Key points
Internet Challenge
2 Ratios and percentages
Starter: How many per cent?
2.1 Working with ratios
2.2 Simple percentages
2.3 Percentage increase and decrease
2.4 Reverse percentage problems
2.5 Compound interest
Key points
Internet Challenge 2
3 Powers and roots
Starter: Roman numerals
3.1 Basic powers and roots
3.2 Higher powers and roots
3.3 Fractional (rational) indices
3.4 Negative powers
3.5 The laws of indices
3.6 Standard index form
3.7 Calculating with numbers in standard form
3.8 Factors, multiples and primes
3.9 Highest common factor, HCF
3.10 Lowest common multiple, LCM
Key points
Internet Challenge
4 Working with algebra
Starter: Right or wrong?
4.1 Substituting numbers into formulae and expressions
4.2 Working with indices
4.3 Expanding brackets
4.4 Multiplying brackets together
4.5 Factorising – common factors
4.6 Factorising – quadratic expressions
4.7 Factorising – harder quadratic expressions
4.8 Factorising – difference of two squares
4.9 Generating formulae
4.10 Changing the subject of a formula
Key points
Internet Challenge
5 Algebraic equations
Starter: Triangular arithmagons
5.1 Expressions, equations and identities
5.2 Simple equations
5.3 Harder linear equations
5.4 Equations and brackets
5.5 Equations with fractional coefficients
Key points
Internet Challenge
6 Graphs of straight lines
Starter: Matchstick puzzles
6.1 Coordinates in all four quadrants
6.2 Graphs of linear functions
6.3 Gradient and intercept of linear functions
6.4 Equations and graphs
6.5 Parallel and perpendicular lines
Key points
Internet Challenge
7 Simultaneous equations
Starter: Fruity numbers
7.1 Simultaneous equations
7.2 Solving simultaneous equations by algebraic elimination
7.3 Solving Simultaneous equations by a graphical method
7.4 Setting up and solving problems using simultaneous equations
Key points
Internet Challenge 7
8 Inequalities
Starter: Treasure hunt
8.1 Whole-number solutions to inequalities
8.2 Using algebra to solve linear inequalities
8.3 Illustrating inequalities on a number line
8.4 Graphs of linear inequalities in two variables
8.5 Quadratic inequalities
Key points
Internet Challenge
9 Sequences and series
Starter: Circles, lines and regions
9.1 Number sequences
9.2 Describing number sequences with rules
9.3 Arithmetic sequences
9.4 Arithmetic series
Key points
Internet Challenge
10 Travel and other graphs
Starter: Animal races
10.1 Distance–time graphs
10.2 Modelling with graphs
Key points
Internet Challenge 10
11 Working with shape and space
Starter: Alphabet soup
11.1 Corresponding and alternate angles
11.2 Angles in triangles and quadrilaterals
11.3 Angles in polygons
11.4 Areas and perimeters of simple shapes
11.5 Surface area and volume
11.6 Converting between units
Key points
Internet Challenge
12 Circles, cylinders, cones and spheres
Starter: Three and a bit …
12.1 Circumference and area of a circle
12.2 Sectors of a circle
12.3 Circumference and area in reverse
12.4 Surface area and volume of a cylinder
12.5 Exact calculations using pi
12.6 Volume and surface area of cones and spheres
Key points
Internet Challenge
13 Geometric constructions
Starter: Round and round in circles
13.1 Constructing triangles from given information
13.2 Constructions with line segments
13.3 Bearings
Key points
Internet Challenge
14 Transformation and similarity
Starter: Monkey business
14.1 Reflections
14.2 Rotations
14.3 Combining transformations
14.4 Enlargements
14.5 Similar shapes and solids
Key points
Internet Challenge
15 Pythagoras’ theorem
Starter: Finding squares and square roots on your calculator
15.1 Introducing Pythagoras’ theorem
15.2 Using Pythagoras’ theorem to find a hypotenuse
15.3 Using Pythagoras’ theorem to find one of the shorter sides
15.4 Pythagoras’ theorem in three dimensions
15.5 Pythagoras’ theorem on a coordinate grid
Key points
Internet Challenge
16 Introducing trigonometry
Starter: A triangular spiral
16.1 The sine ratio
16.2 The cosine ratio
16.3 The tangent ratio
16.4 Choosing the right trigonometrical function
16.5 Finding an unknown angle
16.6 Multi-stage problems
16.7 Angles of elevation and depression
Key points
Internet Challenge
17 Circle theorems
Starter: Circle vocabulary
17.1 Tangents, chords and circles
17.2 Angle properties inside a circle
17.3 Further circle theorems
17.4 Intersecting chords
Key points
Internet Challenge
18 Sets
Starter: Does it all add up?
18.1 Introducing set notation
18.2 Venn diagrams
18.3 Further Venn diagrams
Key points
Internet Challenge
19 Working with data
Starter: Lies, damned lies and statistics
19.1 Calculations with frequency tables
19.2 Solving problems involving the mean
19.3 Histograms
19.4 Cumulative frequency
19.5 Median and quartiles for a discrete data set
Key points
Internet Challenge
20 Probability
Starter: Dice throws
20.1 Theoretical and experimental probability
20.2 Mutually exclusive outcomes
20.3 Independent events
20.4 Tree diagrams
20.5 Conditional probability
Key points
Internet Challenge
21 Direct and inverse proportion
Starter: A sense of proportion
21.1 Direct proportion
21.2 Inverse proportion
21.3 Graphical representation of direct and inverse proportion
21.4 Compound measures
Key points
Internet Challenge
22 Quadratic equations, curves and inequalities
Starter: Solutions of equations
22.1 Solving quadratic equations – factorising
22.2 Completing the square
22.3 Solving quadratic equations – formula
22.4 Problems leading to quadratic equations
22.5 Quadratic curves
22.6 Solving quadratic inequalities
Key points
Internet Challenge
23 Advanced algebra
Starter: How many shapes?
23.1 Working with surds
23.2 Algebraic fractions
23.3 Cancelling common factors in rational expressions
23.4 Simultaneous equations, one linear and one quadratic
23.5 Changing the subject of an equation where the symbol occurs twice
23.6 Algebraic proofs
Key points
Internet Challenge
24 Functions and function notation
Starter: Number crunchers
24.1 Introducing functions and function notation
24.2 Domain and range
24.3 Inverse functions
24.4 Composite functions
Key points
Internet Challenge
25 Further trigonometry
Starter: How tall is the church?
25.1 The sine rule
25.2 The cosine rule
25.3 Area of a triangle using 1/2 ab sin C, and segments of circles
25.4 Trigonometry in 3-D
Key points
Internet Challenge
26 Graphs and transformations
Starter: Making waves
26.1 Plotting and using graphs of curves
26.2 Graphs of sine, cosine and tangent functions
26.3 Transformations of graphs – translations
26.4 Further transformations
Key points
Internet Challenge 26
27 Vectors
Starter: Knight’s tours
27.1 Introducing vectors
27.2 Adding and subtracting vectors
27.3 Multiplying a vector by a number (scalar multiplication)
27.4 Using vectors
Key points
Internet Challenge
28 Calculus
Starter: Steeper and steeper
28.1 Gradient of a curve
28.2 Gradient of a curve – differentiation
28.3 Harder differentiation
28.4 Maximum and minimum points on curves
28.5 Further problems on maximum and minimum
28.6 Distance, velocity and acceleration
Key points
Internet Challenge
Index
Back Cover
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