Comparing fractions (age 8+)
Compare two fractions with the same numerator or the same denominator by reasoning about size; record comparisons with >, =, or < symbols
Lesson
Set out your lesson
“Comparing fractions (age 8+) 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 Comparing fractions (age 8+), add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Comparing fractions (age 8+), not mastery.
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Teaching approaches
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1 approach
Comparing fractions (age 8+) 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.
Family records and proof options
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Practice this concept
Start practiceComparing fractions (age 8+) practice
Practice key ideas from Comparing fractions (age 8+).
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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
Comparing Fractions
Before you open · source notes
Fraction pairs are compared using same-numerator or same-denominator reasoning and pictures. Not every common-denominator method.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk which fraction is greater and why the pieces or counts support that comparison. Keep the solution for the adult.
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 2026-11-11 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. “Comparing Fractions.” 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
- Compare 3/8 and 3/4: same numerator, larger denominator means smaller pieces so 3/8 < 3/4
- Compare 5/6 and 2/6: same denominator so 5/6 > 2/6
- Justify a comparison using a visual model and explain why both fractions must refer to the same whole
“If your child sees 3/5 and 3/8, can they tell you which is bigger just by thinking about the size of each piece — without needing to draw it out?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Fractions
- Age range
- Ages 8–10
Standards