Integers and rational numbers.
Calculate with signed numbers and choose useful exact or approximate forms. Connect fractions, decimals, roots and circle measurements.
Work through the topic
Learn the method, follow the examples, then try the worksheet.
- 01
Four operations with integers
Use signs, direction and operation rules to calculate with positive and negative whole numbers.
- 02
Signed fraction/decimal calculations
Extend familiar fraction and decimal methods to calculations involving negative values.
- 03
Order of operations
Apply operation order carefully, including brackets, powers and signs.
- 04
Terminating and recurring decimals
Recognise decimal endings and repeating cycles, and connect them to fractions.
- 05
Rational and irrational numbers
Classify real numbers using fraction forms, repeating decimals and non-perfect roots.
- 06
Estimating square roots and recognising pi
Locate non-perfect square roots between useful bounds and recognise pi in circle measurements.
- 07
Choosing efficient exact/decimal representations
Choose exact values or suitable decimal approximations without losing accuracy too early.
Topic review
Revisit the key ideas, then choose a practice paper.