Choosing mathematical tools
Select and use appropriate tools and representations strategically: choose between mental, written, and diagrammatic methods; use calculators for checking; select fraction models suited to the task
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Choosing mathematical tools 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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Primary supports Choosing mathematical tools. 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.
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Check understanding
- Decide to use mental multiplication for 25×4 but a written method for 167×3
- Choose fraction strips rather than a number line to compare 3/8 and 1/4
- Use a ruler and squared paper to verify area by counting squares after calculating l×w
“When your child is working on maths, do they choose the right method — doing simple calculations in their head, using written working for complex ones, and sketching a diagram when a problem involves shapes or fractions?”
Curriculum record
- Type
- Meta
- Subject
- Mathematics
- Domain
- Mathematical Thinking
- Age range
- Ages 8–9
Standards