Fractions of a whole (age 9+)
Solve word problems involving multiplication of a fraction by a whole number using visual models and equations
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Fractions of a whole (age 9+) 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 practiceFractions of a whole (age 9+) practice
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Learning resources
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Illustrative Mathematics · Practice link — not the full lesson
Fractions and Rectangles
Before you open · source notes
Fraction rectangles support naming fractions of a whole. Not every mixed-number algorithm.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk the learner to shade a fraction of a rectangle and name the whole.
Opening this link does not save learning or assess mastery.
Source, access and review notes
Public Illustrative Mathematics task page. The .html address responds HTTP 308 to this URL. An anonymous GET of this URL on 2026-11-12 returned HTTP 200 with no login or payment prompt. Where a teacher solution is present, it is on the same page as the student task; this check did not find a separate locked student view. An adult can use the student view section and should not read a solution aloud. Advertising was not observed in the fetched HTML text; that is not a browser, device, or ad-free guarantee. This is a paper or discussion task, not an automatically marked interactive game. Opening the link does not save practice or assess mastery. Diagrams on the page use missing or filename-only alt text, so they are not an accessible image equivalent. Accessibility still depends on an adult describing the picture.
Illustrative Mathematics. “Fractions and Rectangles.” Licensed CC BY-NC-SA 4.0. External task; Gakuva does not copy, host, embed, or redistribute it.
CC BY-NC-SA 4.0 — link only
Check understanding
- Each person eats 3/8 of a pizza and there are 5 people — how many pizzas are needed?
- A ribbon is cut into pieces of 2/3 metre; how long are 4 pieces altogether?
- Between what two whole numbers does 6 × 3/4 lie?
“If each section of a garden uses 3/4 of a bag of compost and there are 4 sections, can your child work out how many bags are needed in total?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Fractions
- Age range
- Ages 9–12
Standards