Equivalent fractions
Recognise and show, using diagrams, equivalent fractions with small denominators
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Equivalent fractions 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 practiceEquivalent fractions practice
Practice key ideas from Equivalent fractions.
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Learning resources
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Illustrative Mathematics · Practice link — not the full lesson
Halves, thirds, and sixths
Before you open · source notes
Shaded six-square rectangles on the page show three sixths matching one half, and two sixths matching one third. Use those on-page figures. The optional attached lesson plan was not fetched.
Free, no sign-in. Use the student view with your child.
Before you openAn adult checks the equal-area explanation. Naming one pair does not prove every equivalent fraction. No CCSS or California tag is added.
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 2026-11-10 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. “Halves, thirds, and sixths.” 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
- Show that 1/2 = 2/4 using a diagram of equal parts
- Use a fraction wall or bar model to find equivalent fractions
- Explain why two fractions are equivalent by comparing the shaded areas
“If your child sees a bar divided into 4 equal parts with 2 shaded, can they tell you that's the same as 1/2 — and draw a different bar showing the same amount another way?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Fractions
- Age range
- Ages 7–10
Standards