Number Sets & Infinity
Your child knows some numbers, like the square root of 2 and pi, cannot be written as exact fractions. Their decimals go on forever.
In curriculum terms
Appreciate the infinite nature of the sets of integers, real numbers, and rational numbers; position integers on a number line and distinguish between rational and irrational numbers
Ages are typical, not deadlines — follow your child’s pace. How to help at home →
How to tell they’ve got it
Tick these off as you see them — no test required.
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Try this together
Can your child explain that numbers like √2 and π can't be written as exact fractions — and that their decimal expansions go on forever without repeating?
Where this sits on the map
Stuck here? Check the skills it builds on first. Confident? Here’s what it unlocks.
solid = must come firstdashed = helps
Curriculum alignment
Where this fits in the official school curriculum — our best automated guess, not yet checked by a person.
This skill sits beyond Year 6 in the Australian Curriculum, so no F–6 code is matched. It also sits beyond the NSW K–6 syllabuses. It also sits beyond Level 6 in the Victorian Curriculum.