Set 1Classifying and operating with rational numbersFree sample — every tier
- Classify a number as a natural number, integer, rational number, or real number, and explain the relationships between these sets (e.g. every integer is rational, not every rational number is an integer)
- Recognise that a rational number can be written as a terminating or recurring decimal, and that an irrational number (e.g. √2, π) cannot
- Add and subtract positive and negative integers and rational numbers, using a number line or additive-inverse reasoning to justify each step
- Multiply and divide positive and negative rational numbers, applying the sign rules (same signs give a positive result, different signs give a negative result)
- Solve multi-step problems combining all four operations on rational numbers, including numbers given as fractions, decimals, and mixed forms