Reasoning with Equivalences
Recognise and use repeated reasoning to generalise: extend patterns in equivalent fractions and percentage conversions, derive unknown facts from known facts, describe general rules for sequences and predict terms
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Reasoning with Equivalences means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.
Materials: Paper strips or a folded circle; Pencil and labels (1/2, 1/4). Adult folds a strip into halves and labels 1/2. Child makes three fair shares (halves/quarters) and names each piece. Done: three correctly named equal parts. Stop after the fresh check; keep optional challenge for another day.
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Start practiceReasoning with Equivalences practice
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Primary
Before you open · source notes
Primary supports Reasoning with Equivalences. An adult previews and guides; this is a learning page, not a scored quiz.
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Before you openAsk the learner one fact they learned and one question they still have.
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Public NRICH page. An anonymous GET on 2026-11-12 returned HTTP 200 with no login or payment prompt for this URL. Opening the link does not save practice or assess mastery. An adult should preview and guide the learner.
NRICH. “Primary.” External page; Gakuva does not copy, host, embed, or redistribute materials.
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Check understanding
- Notice that multiplying any number by 25 can be done by multiplying by 100 then dividing by 4, and explain why
- Describe the general rule for a sequence and predict the 20th term
- Generalise: to find 10% divide by 10, to find 5% halve 10%, and use this to find 35% of any number
“When your child sees a sequence of equivalent fractions — like 1/2, 2/4, 3/6… — can they describe the rule and use it to find the next few terms, or to quickly convert between fractions and percentages?”
Curriculum record
- Type
- Meta
- Subject
- Mathematics
- Domain
- Mathematical Thinking
- Age range
- Ages 9–10
Standards