MathematicsNumber Representation & Place ValueAges 13–14
Number Sets & Infinity
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
Learning resources
Reviewed external links that reinforce this concept. They do not replace Gakuva’s teaching approach.
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The teaching approach above still stands. Curated practice links will appear here as the shelf fills.
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Number Sets & InfinityConceptual concept
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Check understanding
- Explain that rational numbers can be written as a fraction of two integers and have terminating or repeating decimals
- Give examples of irrational numbers and explain why their decimal expansions neither terminate nor repeat
- Appreciate that between any two numbers there are infinitely many other numbers
“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?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Number Representation & Place Value
- Age range
- Ages 13–14
Standards
ccss-math:8.NS.1ccss-math:8.NS.2uk-nc-2013:KS3.Maths.Num.16