Fractions as parts of shapes
Partition shapes into parts with equal areas and express the area of each part as a unit fraction of the whole
Lesson
Set out your lesson
“Fractions as parts of shapes 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 Fractions as parts of shapes, add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Fractions as parts of shapes, not mastery.
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Teaching approaches
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1 approach
Fractions as parts of shapes 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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Practice this concept
Start practiceFractions as parts of shapes practice
Practice key ideas from Fractions as parts of shapes.
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Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
Illustrative Mathematics · Practice link — not the full lesson
Representing Half of a Circle
Before you open · source notes
Learners show one-half of a circle in more than one way. Supports fractions as equal parts of shapes, not every fraction on a number line.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk for two different drawings that each show half of the same circle.
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. “Representing Half of a Circle.” 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
- Partition a rectangle into 6 equal-area parts and label each 1/6
- Show two different ways to partition a square into 4 equal parts
- Given a pre-partitioned shape, write the unit fraction for one part
“If you ask your child to fold a square piece of paper into 8 equal parts, can they tell you what fraction of the whole square each part represents?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Fractions
- Age range
- Ages 8–9
Standards