BGE S1–S3 Mathematics & Numeracy: Third Level

Cover
Book title
Copyright
Contents
Introduction
1 Number skills
	Addition and subtraction of decimals
	Single-digit multiplication
	Single-digit division
	Rounding and estimation
	Multiplication and division by multiples of 10
	Long multiplication
	Addition and subtraction of integers
	Multiplication and division of integers
	Order of operations – BODMAS
	Check-up
2 Multiples, factors, powers and roots
	Lowest common multiple
	Highest common factor
	Prime numbers
	Powers and roots
	Fundamental theorem of arithmetic
	Check-up
3 Fractions, decimals and percentages
	Simplifying fractions
	Decimals to fractions and percentages
	Percentages to fractions and decimals
	Fractions to decimals and percentages
	Fractions of an amount
	Whole and mixed numbers to improper fractions
	Improper fractions to whole and mixed numbers
	Addition and subtraction of fractions: common denominators
	Addition and subtraction of fractions: different denominators
	Multiplying and dividing fractions
	Percentages of an amount: with a calculator
	Percentages of an amount: without a calculator
	Check-up
4 Ratio and proportion
	Expressing a ratio in its simplest form
	Using ratio
	Sharing in a given ratio
	Direct proportion
	Inverse proportion
	Check-up
5 Time
	Time intervals
	Calculating speed
	Calculating distance
	Calculating time
	A mixture!
	Distance–time graphs
	Check-up
6 Measurement
	Units of measurement
	The area of a rectangle
	The area of a triangle
	The area of a parallelogram
	The areas of a rhombus and kite
	The area of a trapezium
	Areas of compound shapes
	Perimeter and area
	Compound volume
	The volume of a prism
	Check-up
7 Expressions and equations
	Gathering like terms
	Evaluating expressions
	Balancing equations
	Evaluating formulae
	Check-up
	8 Money
	Best value
	Budgeting
	Using technology for budgeting
	Bank statements
	Personal finance: contracts and services
	Personal finance: saving money
	Personal finance: borrowing money
	Foreign exchange
	Check-up
9 Patterns and relationships
	Sequences
	Linear patterns
	Determining a formula
	Check-up
10 Impact of mathematics
	The bridges of Königsberg
11 Coordinates, symmetry and scale
	Coordinates
	Lines of symmetry
	Creating symmetrical pictures
	Enlargement
	Reduction
	Scale drawing
	Check-up
12 Data analysis
	Categorical and numerical data
	Compound bar graphs
	Compound line graphs
	Reading pie charts
	Drawing pie charts
	Scatter graphs and correlation
	Misleading statistics
	Using technology
	Check-up
13 Angles
	Naming angles
	Vertically opposite angles
	Corresponding angles
	Alternate angles
	Angles in a triangle
	A mixture!
	Angles in polygons
	Constructions
	Bearings
	Check-up
14 Probability
	Probability scale and likelihood
	Calculating probability
	Using probability
	Check-up
Answers