STP Caribbean Mathematics Book 2
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Description
Contents
Reviews
Language
English
ISBN
9780198426554
Front Cover
Title Page
Contents
Introduction
1 Working with numbers
Working with integers
Laws of numbers
The identity element
The inverse element
Closure
Changing between fractions, decimals and percentages
Positive indices
Multiplying numbers written in index form
Dividing numbers written in index form
Mixed questions on indices
Standard form
Changing numbers into standard form
Approximations: whole numbers
Approximations: decimals
Significant figures
Rough estimates
Calculations: multiplication and division
Mixed exercises
2 Number bases
Denary system (base ten)
Base five
Other bases
Addition, subtraction and multiplication
Harder examples
Binary numbers
Mixed exercises
3 Algebra
Equations
Equations with letter terms on both sides
Equations containing like terms
Brackets
Directed numbers
Formulae
Substituting numerical values into a formula
Problems
Expressions, equations and formulae
Mixed exercises
4 Inequalities
Inequality notation
Using a number line to illustrate inequalities
Solving inequalities
Using set builder notation
5 Sets
Set notation
Finite, infinite, equal and empty sets
Universal sets
Subsets
Venn diagrams
Union and intersection of two sets
Simple problems involving Venn diagrams
Complement of a set
Using algebra and Venn diagrams to solve problems
6 Relations
Relations
Domain and range
Mapping diagrams
Types of relation
Using tables
Equations
REVIEW TEST 1 : CHAPTERS 1–6
7 Coordinate geometry
Plotting points using positive coordinates
Negative coordinates
Straight lines
The equation of a straight line
Plotting the graph of a given equation
Gradient of a straight line
Lines that do not pass through the origin
Lines parallel to the axes
Illustrating inequalities in the Cartesian plane
8 Reflections and translations
Transformations
Line symmetry
Two or more lines of symmetry
Reflections
Finding the mirror line
Construction of the mirror line
Vectors
Representing vectors
Capital letter notation
Translations
Using vectors to describe translations
9 Measurement
Units of length
Units of mass
Conversion graphs
10 Circles: circumference and area
Diameter, radius and circumference
Introducing π
Calculating the circumference
Problems
Finding the radius of a circle given the circumference
The area of a circle
Problems
Mixed exercises
11 Volume and capacity
Volume
Cubic units
Volume of a cuboid
Changing units of volume
Capacity
Nets
Mixed units
Problems involving cuboids
Volume of a prism
Volume of a cylinder
Compound shapes
Mixed exercises
REVIEW TEST 2: CHAPTERS 7–11
12 Ratio and proportion
Simplifying ratios
Relative sizes
Problems
Finding missing quantities
Problems
Division in a given ratio
Map ratio (or representative fraction)
Proportion
Speed, time and distance
Calculating the time taken
Average speed
Finding distance from a graph
Drawing travel graphs
Information from a travel graph
Mixed exercises
13 Consumer arithmetic
Percentage increase
Percentage decrease
Problems
Mixed exercise
Hire-purchase
Wages
Commission
Exchange rates
Telephone bills
Electricity: kilowatt-hours
Electricity bills
Mixed exercises
14 Geometry
Parallel lines
Corresponding angles
Drawing parallel lines (using a protractor)
Problems involving corresponding angles
Using angle facts
Alternate angles
Problems involving alternate angles
Interior angles
The exterior angle of a triangle
Polygons
Regular polygons
Convex and concave polygons
Interior angles
Exterior angles
The sum of the exterior angles of a polygon
Mixed exercises
15 Constructions
Angles and triangles
Constructing angles without using a protractor
To construct an angle of 60°
Bisecting angles
Construction of angles of 60°, 30°, 90°, 45°
To construct an angle equal to a given angle
Construction to bisect a line
Dropping a perpendicular from a point to a line
Constructing triangles
16 Statistics
Pie charts
Interpreting pie charts
Mean, mode and median
Finding the mode from a frequency table
Finding the mean from a frequency table
Finding the median from a frequency table
Line graphs
Categorical data
Numerical data
Discrete and continuous data
Histograms
REVIEW TEST 3: CHAPTERS 12–16
REVIEW TEST 4: CHAPTERS 1–16
Glossary
Answers
Index
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