\$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.

• 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
• 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
• 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
• Multiplication by zero
• 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
• Index
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