Cambridge IGCSE International Mathematics

Cover
Book title
Copyright
Contents
Introduction
TOPIC 0 Introduction to the graphics calculator
	Section 1 The history of the calculator
	Section 2 The graphics calculator
	Section 3 Plotting graphs
	Section 4 Tables of results
	Section 5 Lists
TOPIC 1 Number
	Chapter 1 Vocabulary for sets of numbers
	Chapter 2 Calculations and order of operations
	Chapter 3 Fractions, decimals and percentages
	Chapter 4 Further percentages
	Chapter 5 Ratio and proportion
	Chapter 6 Approximation and rounding
	Chapter 7 Standard form
	Chapter 8 Surds
	Chapter 9 Speed, distance and time
	Chapter 10 Investigations, modelling and ICT
	Chapter 11 Student assessments
TOPIC 2 Algebra
	Chapter 12 Algebraic representation and manipulation
	Chapter 13 Further algebraic representation and manipulation
	Chapter 14 Linear and simultaneous equations
	Chapter 15 Solving quadratic equations
	Chapter 16 Using a graphics calculator to solve equations
	Chapter 17 Linear inequalities
	Chapter 18 Laws of indices
	Chapter 19 Fractional indices
	Chapter 20 Sequences
	Chapter 21 Direct and inverse variation
	Chapter 22 Investigations, modelling and ICT
	Chapter 23 Student assessments
TOPIC 3 Functions
	Chapter 24 Function notation
	Chapter 25 Recognising graphs of common functions
	Chapter 26 Transformation of graphs
	Chapter 27 Using a graphics calculator to sketch and analyse functions
	Chapter 28 Finding a quadratic function from key values
	Chapter 29 Finding the equation of other common functions
	Chapter 30 Composite functions
	Chapter 31 Inverse functions
	Chapter 32 Logarithmic functions
	Chapter 33 Investigations, modelling and ICT
	Chapter 34 Student assessments
TOPIC 4 Coordinate geometry
	Chapter 35 Coordinates
	Chapter 36 Line segments
	Chapter 37 Equation of a straight line
	Chapter 38 Investigations, modelling and ICT
	Chapter 39 Student assessments
TOPIC 5 Geometry
	Chapter 40 Geometrical vocabulary
	Chapter 41 Symmetry
	Chapter 42 Measuring angles
	Chapter 43 Angle properties
	Chapter 44 Pythagoras’ theorem
	Chapter 45 Similarity
	Chapter 46 Properties of circles
	Chapter 47 Investigations, modelling and ICT
	Chapter 48 Student assessments
TOPIC 6 Vectors and transformations
	Chapter 49 Simple vectors
	Chapter 50 Magnitude of a vector
	Chapter 51 Transformations
	Chapter 52 Further transformations
	Chapter 53 Investigations, modelling and ICT
	Chapter 54 Student assessments
TOPIC 7 Mensuration
	Chapter 55 Measures
	Chapter 56 Perimeter and area of simple plane shapes
	Chapter 57 Circumference and area of a circle
	Chapter 58 Arc length and area of a sector
	Chapter 59 Area and volume of further plane shapes and prisms
	Chapter 60 Surface area and volume of other solids
	Chapter 61 Investigations, modelling and ICT
	Chapter 62 Student assessments
TOPIC 8 Trigonometry
	Chapter 63 Sine, cosine and tangent ratios
	Chapter 64 Special angles and their trigonometric ratios
	Chapter 65 The sine and cosine rules
	Chapter 66 Applications of trigonometry
	Chapter 67 Trigonometric graphs, properties and transformations
	Chapter 68 Investigations, modelling and ICT
	Chapter 69 Student assessments
TOPIC 9 Sets
	Chapter 70 Sets, subsets and Venn diagrams
	Chapter 71 Investigations, modelling and ICT
	Chapter 72 Student assessments
TOPIC 10 Probability
	Chapter 73 Theoretical probability
	Chapter 74 Tree diagrams
	Chapter 75 Use of Venn diagrams in probability
	Chapter 76 Laws of probability
	Chapter 77 Experimental probability
	Chapter 78 Investigations, modelling and ICT
	Chapter 79 Student assessments
TOPIC 11 Statistics
	Chapter 80 Basic graphs and charts
	Chapter 81 Stem-and-leaf diagrams
	Chapter 82 Averages and ranges
	Chapter 83 Cumulative frequency
	Chapter 84 Scatter diagrams, correlation and lines of best fit
	Chapter 85 Investigations, modelling and ICT
	Chapter 86 Student assessments
Index