Contents
Glossary
The language of mathematics
Words to operations
Integers
Adding and subtracting
Multiplying and dividing
Mixing it up
Types of numbers
Multiples
Factors
Mixing it up
Prime numbers
Square numbers
Cubic numbers
Triangular numbers
Weird Stuff
Factorials
Powers
Negative powers
Roots
Mixing it up
Order of operation
Using your calculator
Words to calculations
Fractions
Numerators and denominators
Equivalent fractions
Converting between improper and mixed fractions
Adding and subtracting fractions
Mixing it up
Multiplying fractions
Dividing fractions
Challenge 1
Combining roots and fractions
Ordering and comparing fractions
Fractions of a quantity
Mixing it up
Decimals
Place value
Decimals on number lines
Challenge 2
Comparing decimals
Recurring decimals
Turning decimals into fractions
Turning recurring decimals into fractions
Challenge 3
Numbers in base 2
Percentages
Converting between decimals and percentages
Converting between fractions and percentages
Challenge 4
Calculating percentages
Finding percentages of amounts
Mixing it up
Increasing by an amount
Decreasing by an amount
Finding a percentage increase or decrease
Mixing it up
Groups of numbers
Rounding
Rounding decimals
Significant figures
Rounding to significant figures
Estimations/approximations
Estimation of roots
Standard form
Powers of 10
Numbers in standard form
Rates
Ratios
Simplifying ratios
Using ratios where the total is given
Ratio calculations where one part is given
Challenge 5
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).