Choosing representations strategically
Select and use tools and representations strategically: choose between mental methods, formal written methods, protractors, fraction strips, and diagrams based on the demands of the problem
Lesson
Set out your lesson
“Choosing representations strategically means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.”
Bring to the table
- Paper strips or a folded circle
- Pencil and labels (1/2, 1/4)
Extra for the adult
Worked example. Fold a strip in half: each piece is 1/2 of the whole.
Optional challenge. For Choosing representations strategically, add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Choosing representations strategically, not mastery.
Share and support
Family records and proof options
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Practice this concept
Start practiceChoosing representations strategically practice
Practice key ideas from Choosing representations strategically.
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Learning resources
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NRICH · Practice link — not the full lesson
Primary
Before you open · source notes
Primary supports Choosing representations strategically. 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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Source, access and review notes
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
- Choose mental multiplication for 25 × 40 but long multiplication for 347 × 26
- Select a protractor to verify an estimated angle rather than relying on visual inspection alone
- Choose a common-denominator approach vs. benchmark comparison for ordering fractions, and explain why
“When your child faces a geometry or proportion problem, do they choose the right tool — like a protractor for angles or a fraction strip for comparing fractions — rather than always defaulting to one method?”
Curriculum record
- Type
- Meta
- Subject
- Mathematics
- Domain
- Mathematical Thinking
- Age range
- Ages 9–10
Standards