Contents
Glossary
The language of mathematics
Words to operations
Integers
Adding and subtracting
Multiplying and dividing
Order of operations
Using your calculator
Words to calculations
Groups of numbers
Multiples
Factors
Square numbers
Prime numbers
Challenge 1
Powers
Roots
Mixing it up
Fractions
Shading fractions
Numerators and denominators
Equivalent fractions
Ordering fractions
Converting between improper and mixed fractions
Adding and subtracting fractions
Challenge
Multiplying fractions
Dividing fractions
Comparing fractions
Fractions of a quantity
Decimals
Place value
Decimals on number lines
Challenges
Comparing decimals
Recurring decimals
Using decimals to compare fractions
What’s the number?
Percentages
Converting between decimals and percentages
Converting between fractions and percentages
Converting between decimals, percentages and fractions
Challenges
Calculating percentages
Finding percentages of amounts
Rounding
Rounding to whole numbers
Rounding decimals
Calculations with money
Significant figures
Rounding to significant figures
Estimations/approximations
Standard form
Powers of 10
Using your calculator
Numbers in standard form
Challenge 2
Rates
Ratios
Simplifying ratios
Using ratios where the total is given
Challenge 3
Revision 1
Revision 2
Answers
Charlotte has over 10 years’ experience in teaching Mathematics, the majority of this as Assistant HOD of Mathematics and Dean of Year 9 at Darfield High School. She has also undertaken a year at St Margaret’s – a high decile, girls’ school. Here she focused on teaching the junior levels (including Year 7 and 8).
Victoria has twenty years’ experience in teaching Mathematics and has recently retired as Teacher of Mathematics and Specialist Classroom Teacher at Riccarton High School. She has received a Jim Campbell award for teaching excellence (2003) and an Ernest Duncan award in Mathematics (2007).