$23.99

# STP Caribbean Mathematics Book 3

By Chandler, Smith, Chan Tack, Wendy Griffith, Kenneth Holder

US$ 23.99

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Book Description

STP Caribbean Mathematics Book 1 has been revised and updated to address the demands of mathematics syllabuses in the region and provide students with a firm foundation for success at CSECÂ®. STP Caribbean Mathematics makes mathematics relevant for students by providing real-life context and plenty of opportunity to practise key mathematical skills and concepts. It introduces topics in a clear, accessible and thorough manner - and its focus on the core

aspects of mathematics help to reinforce the textbook's accuracy and rigour. This title also includes answers to all the activities.

Table of Contents

- Contents
- Introduction
- 1 Making sure of arithmetic
- Prime numbers
- Factors
- Prime factors
- Multiples
- Sieve of Eratosthenes
- Squares
- Multiplying a string of numbers
- Names for numbers
- Addition and subtraction of fractions
- Multiplication of fractions
- Reciprocals
- Division by a fraction
- Decimal fractions
- Interchanging decimals and fractions
- Recurring decimals
- Addition and subtraction of decimals
- Multiplication of decimals
- Division by decimals
- Relative sizes
- Indices
- Laws of indices
- Zero and negative indices
- Standard form (scientific notation)
- Approximations (decimal places and significant figures)
- Base 2 and base 3 numbers
- Mixed exercises

- 2 Areas
- Areas of familiar shapes
- Areas of compound shapes
- Area of a trapezium
- Shapes that have equal areas

- 3 Arc length and area of the sector of a circle
- The length of an arc
- The area of a sector of a circle

- 4 Prisms and pyramids
- Making solids from nets
- Prisms
- Surface area of a prism
- Pyramids
- Net for a pyramid
- Volume of a pyramid
- Surface area of a pyramid
- Volume of a cylinder
- Curved surface area of a cylinder
- Volume of a cone
- Surface area of a cone
- Mixed exercise

- 5 Enlargements
- Enlargements
- Centre of enlargement
- Scale factors
- Finding an image under enlargement
- Fractional scale factors

- 6 Scale drawing
- Scale drawing
- Accurate drawing with scaled down measurements
- Scale drawings without measurements
- Map ratio (or representative fraction)
- Angles of elevation
- Angles of depression
- Enlargement and the effect on areas and volumes
- Volumes and scale factor
- Mixed exercises

- 7 Congruent triangles
- The basic facts
- Congruent shapes
- Transformations and congruent figures
- Congruent triangles
- Three pairs of sides
- Two angles and a side
- Two sides and an angle
- Problems
- Using congruent triangles
- Properties of parallelograms
- Using properties of special quadrilaterals

- Review test 1: Chapters 1–7
- 8 Similarity
- Similar figures
- Similar triangles
- Corresponding vertices
- Using the scale factor to find a missing length
- Corresponding sides
- One pair of equal angles and two pairs of sides
- Summary: similar triangles
- Mixed exercise

- 9 Pythagoras’ theorem
- Squares and square roots
- Pythagoras’ theorem
- Finding the hypotenuse
- The 3, 4, 5 triangle
- Finding one of the shorter sides
- Mixed examples
- Pythagoras’ theorem using areas
- Finding lengths in an isosceles triangle
- Finding the distance of a chord from the centre of a circle
- Problems using Pythagoras’ theorem
- The converse of Pythagoras’ theorem
- Mixed exercises

- 10 Trigonometry
- Tangent of an angle
- Using a calculator
- Finding an angle
- Finding a side
- Using the hypotenuse
- The sine of an angle
- The cosine of an angle
- Summary
- Sines, cosines and tangents
- Finding the hypotenuse
- Angles of elevation and depression
- Mixed exercise

- 11 Polygons
- Polygons
- The exterior angle of a regular polygon
- The sum of the interior angles of a polygon
- Formula for the sum of the interior angles
- Mixed problems
- Pattern-making with regular polygons

- 12 Constructions
- Basic constructions
- To construct a line parallel to a given line through a given point
- The rhombus
- Properties of the diagonals of a rhombus
- Circle constructions
- To construct the circumcircle to a given triangle
- Constructing regular polygons
- Mixed exercises

- 13 Consumer arithmetic
- Percentage change
- Earnings
- Taxes
- Property tax
- Saving and borrowing
- Telephone bills
- Electricity bills
- Mixed exercise

- 14 Simultaneous equations
- Equations with two unknown quantities
- Elimination method
- Harder elimination
- Mixed questions
- Special cases
- Substitution method
- Problems
- Graphical solutions of simultaneous equations
- Mixed exercise

- Review test 2: Chapters 8–14
- 15 Sets
- Reminders
- Notation
- Problems
- Number of members
- Further problems
- Mixed exercise

- 16 Straight-line graphs
- Straight lines
- Lines parallel to the axes
- Slant lines
- Points on a line
- Comparing slopes
- Gradients
- Calculating the gradient of a line
- The intercept on the y-axis
- Parallel lines
- Different forms of the equation of a straight line
- Getting information from the equation of a line
- The equation of a line through two given points
- Problems
- Mixed exercises

- 17 Linear equations and inequalities
- Linear equations
- Multiplication and division of fractions
- Fractional equations
- Problems
- Substituting numerical values into formulae involving fractions
- Solving inequalities
- Using two-dimensional space

- 18 Algebraic products
- Brackets
- The product of two brackets
- Finding the pattern
- Important products
- The difference between two squares
- Harder expansions
- Summary
- Mixed exercises

- 19 Algebraic factors
- Finding factors
- Common factors
- Factorising by grouping
- Factorising quadratic expressions
- Calculations using factorising
- Mixed questions
- Mixed exercises

- 20 Algebraic fractions
- Simplifying fractions
- Factors
- Further simplifying
- Multiplying and dividing fractions
- Lowest common multiple
- Addition and subtraction of fractions
- Mixed questions
- Solving equations with fractions
- Mixed exercises

- 21 Quadratic equations
- Multiplication by zero
- Quadratic equations
- Solution by factorisation
- Summary
- Problems
- Mixed exercises

- 22 Probability
- Outcomes of experiments
- Probability
- Experiments where an event can happen more than once
- Certainty and impossibility
- Probability that an event does not happen
- The number of times an event is likely to happen
- Using probability to help decision making
- Mixed exercise

- Review test 3: Chapters 15–22
- Review test 4: Chapters 1–22
- Glossary
- Answers
- Index

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