Comparing fractions (age 7+)
Solve problems involving counting in tenths, fractions of quantities, equivalence, fraction addition/subtraction, and fraction comparison
Lesson
Set out your lesson
“Comparing fractions (age 7+) 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 7+), add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Comparing fractions (age 7+), not mastery.
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Teaching approaches
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1 approach
Comparing fractions (age 7+) 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 7+) practice
Practice key ideas from Comparing fractions (age 7+).
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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
Ordering Fractions
Before you open · source notes
Fractions are ordered by size using same-whole reasoning. Supports comparing fractions, not every unlike-denominator 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 order two or three fractions and explain which is greater.
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. “Ordering 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
- Solve a word problem requiring finding a fraction of a quantity
- Solve a problem that requires comparing or ordering fractions
- Choose and apply appropriate fraction knowledge to a multi-step problem
“If a bag of 20 sweets is shared equally among 5 friends, can your child work out what fraction each person gets — and how many sweets that is?”
Curriculum record
- Type
- Meta
- Subject
- Mathematics
- Domain
- Fractions
- Age range
- Ages 7–8
Standards