Collins CSEC® Mathematics
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Description
Contents
Reviews
Language
English
ISBN
9780008304461
Cover
Title
Collins
Contents
Introduction
How to use this book
1 Number theory and Computation
1.1 History of numbers
1.2 Classification of numbers
1.3 Ordering a set of real numbers
1.4 Place value of whole numbers
1.5 Revision: Addition, subtraction, multiplication and division
1.6 Defined arithmetic operations
1.7 Associativity, commutativity and distributivity
1.8 Identity for addition and multiplication
1.9 Additive and multiplicative inverses
1.10 Multiplication and division involving zero
1.11 Order of arithmetic operations (BODMAS)
1.12 Powers of numbers
1.13 Reciprocal of a number
1.14 Factors and multiples
1.15 Fractions: revision
1.16 Operations with fractions
1.17 Decimal fractions: revision
1.18 Operations with decimals
1.19 Approximating numbers
1.20 Standard form (scientific notation
1.21 Mixed operations with decimals
1.22 Percentages
1.23 Conversion between units of measure
1.24 Ratio
1.25 Direct and indirect proportion
1.26 Rates
1.27 Arithmetic mean (average
1.28 Sequences
1.29 Number bases
1.30 Operations with binary numbers
1.31 Base 4 and base 8
1.32 The use of calculators innumber theory and computation
End of chapter summary
Examination-type questions for Chapter 1
2 Consumer arithmetic
2.1 Discount, sales tax, profit and loss
2.2 Simple and compound interest
2.3 Hire purchase and mortgages
2.4 Rates and taxes
2.5 Utilities payments
2.6 Currency and foreign exchange
2.7 Salaries and wages
2.8 Income tax
2.9 Insurance
End of chapter summary
Examination-type questions for Chapter 2
3 Algebra
3.1 Directed numbers and arithmetic operations on them
3.2 The meaning and importance of algebra
3.3 Algebraic notation
3.4 Laws of indices
3.5 Using the four basic operations to simplify algebraic expressions
3.6 Algebraic fractions
3.7 Substitution
3.8 Binary operations
3.9 Using the distributive law to expand algebraic expressions
3.10 Simple factorisation of an algebraic expression
3.11 Simple linear equations in one unknown
3.12 Inequalities
3.13 Transposition - changing the subject of a formula
3.14 Simultaneous linear equations in two unknowns
3.15 Factorising by grouping
3.16 Factorising quadratic expressions
3.17 Solving quadratic equations
3.18 Simultaneous equations: one quadratic and one linear
3.19 Identities and equations - what is the difference?
3.20 Direct and inverse variation
End of chapter summary
Examination-type questions for Chapter 3
4 Geometry and trigonometry
4.1 Geometrical concepts
4.2 Drawing and measuring line sefments and angles
4.3 Constructing lines, angles and polygons
4.4 Symmetry in plane figures
4.5 Properties of angles, lines and polygons
4.6 Three-dimensional shapes
4.7 Circles
4.8 Transformation geometry
4.9 Trigonometry
4.10 Spatial geometry: projections and scale drawing
4.11 Trigonometry in three dimensions
End of chapter summary
Examination-type questions for Chapter 4
5 Measurement
5.1 Quantities and units
5.2 Length
5.3 Mass
5.4 More units of length and mass
5.5 Time
5.6 Weight
5.7 Speed
5.8 Density
5.9 Perimeter
5.10 Area
5.11 Margin of error in measurement
5.12 Scale drawing
5.13 Volume
5.14 Surface areas of solids
End of chapter summary
Examination-type questions for Chapter 5
6 Sets
6.1 Definition of a set and related concepts
6.2 Intersection, union and complements of not more than 3 sets
6.3 Venn diagrams
6.4 Using set theory to solve problems in number theory, algebra and geometry
End of chapter summary
Examination-type questions for Chapter 6
7 Relations, functions and graphs
7.1 Relations and functions
7.2 Coordinate geometry and graphs of linear functions
7.3 Linear inequalities
7.4 Quadratic functions
7.5 Graphs of other functions
End of chapter summary
Examination-type questions for Chapter 7
8 Statistics
8.1 Sample statistics and population parameters
8.2 Classifying and representing data
8.3 Statistical diagrams
8.4 Measures of central tendency
8.5 Probability
End of chapter summary
Examination-type questions for Chapter 8
9 Vectors, matrices and transformations
9.1 Concepts associated with vectors
9.2 Position vectors
9.3 Matrices
9.4 Vectors, transformations and matrices
End of chapter summary
Examination-type questions for Chapter 9
10 T he School-Based Assessment in Mathematics
Introduction
Managing the project
Devising a project topic
Collecting data
Problem-solving strategies
Project report
Project mark scheme
Sample Mathematics SBA
Examples of SBA topics
11 Examination Practice
Examination 1
Examination 2
Examination 3
12 Using your calculator
Using the calculator in the mathematics classroom
13 Teaching notes
Exercises
Problems: examples, strategies and solutions
Math investigations - examples
The use of calculators
In support of the use of calculators
Criticisms of the use of the calculator
Manipulatives and teaching aids
Answers
Index
Acknowledgements
Back Cover
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