Rövid leírás:
Build confidence for the Extended part of the latest Cambridge IGCSE syllabus (0580) with the trusted and rigorous approach of Complete Mathematics, now in its Fifth Edition. From renowned author David Rayner, the practice-based approach ensures top Cambridge IGCSE results.
Több
Hosszú leírás:
Build confidence for the latest Cambridge syllabus (0580) with the trusted and rigorous approach of Complete Mathematics, now in its fifth edition. From renowned author trusted David Rayner, the rigorous practice-based approach ensures top Cambridge IGCSE results.
This new edition is fully aligned with the Extended part of the latest IGCSE syllabus, for examination from 2020, and contains a comprehensive mapping grid so you can be sure of complete support.
Students have regular opportunities to hone their skills with extensive graduated practice. Worked examples demonstrate important techniques so students can confidently tackle every question. Plus, find additional practice, revision checklists and exam skills development material on the accompanying support site.
Other resources in this series include a Workbook, Revision Guide and Teacher Pack.
Of the 33 students in one of our IGCSE Extended Maths class last year, 25 got A passes (including 8
A*’s and one student on 100%) which is a credit to the comprehensive quality of the Rayner
(Complete Mathematics) textbook.
Több
Tartalomjegyzék:
Syllabus matching grid
Introduction
1 Number
Arithmetic
Number facts and sequences
Approximations and estimation
Standard form
Ratio and proportion
Percentages
Speed, distance and time
Mixed problems
Calculator
Revision exercise 1A
Examination-style exercise 1B
2 Algebra 1
Negative numbers
Directed numbers
Formulae
Brackets and simplifying
Linear equations
Problems solves by linear equations
Simultaneous equations
Problems solved by simultaneous equations
Factorising
Quadratic equations
Problems solved by quadratic equations
Non-linear simultaneous equations
Revision exercise 2A
Examination-style exercise 2B
3 Mensuration
Area
The circle
Arc length and sector area
Chord of a circle
Volume
Surface area
Revision exercise 3A
Examination-style exercise 3B
4 Geometry
Fundamental results
Pythagoras’ theorem
Symmetry
Similarity
Congruence
Circle theorems
Constructions
Nets
Revision exercise 4A
Examination-style exercise 4B
5 Algebra 2
Algebraic fractions
Changing the subject of a formula
Variation
Indices
Inequalities
Linear programming
Revision exercise 5A
Examination-style exercise 5B
6 Trigonometry
Right-angled triangles
Scale drawing
Three-dimensional problems
Sine, cosine and tangent for any angle
The sine rule
The cosine rule
Revision exercise 6A
Examination-style exercise 6B
7 Graphs
Drawing accurate graphs
Gradients
The form y = mx + c
Plotting curves
Interpreting graphs
Graphical solution of equations
Distance-time graphs
Speed-time graphs
Differentiation
Revision exercise 7A
Examination-style exercise 7B
8 Sets, vectors and functions
Sets
Logical problems
Vectors
Column vectors
Vector geometry
Functions
Simple transformations
Combined transformations
Revision exercise 8A
Examination-style exercise 8B
9 Statistics
Data display
Mean, median and mode
Scatter graphs
Box-and-whisker plots
Cumulative frequency
Comparing data sets
Revision exercise 9A
Examination-style exercise 9B
10 Probability
Simple probability
Relative frequency
Exclusive and independent events
Tree diagrams
Probability from Venn diagrams
Conditional probability
Revision exercise 10A
Examination-style exercise 10B
11 Investigations, practical problems, puzzles
Investigations
Practical problems
Puzzles and experiments
12 Revision tests
Examination-style Paper 2
Examination-style Paper 4
Answers
Index
