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MathematicsFractionsAges 10–13

Comparing fractions (age 10+)

Compare and order fractions including fractions greater than 1, by converting to common denominators or using benchmarks

Lesson

Set out your lesson

“Comparing fractions (age 10+) 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 10+), add one harder example after success.

What to notice. Keep one parent note: examples tried; results; support used. This session samples Comparing fractions (age 10+), not mastery.

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Save photos, notes, and attendance. Export a proof packet for compliance or portfolio reviews.

Practice this concept

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Gakuva activity

Comparing fractions (age 10+) practice

Practice key ideas from Comparing fractions (age 10+).

Free · no login · no ads · Practice answers and completion are not saved. Parent observation remains the lesson record.

Learning resources

Extra practice links — they do not replace Gakuva’s teaching approach.

Illustrative Mathematics · Practice link — not the full lesson

Comparing Fractions Using Benchmarks Game

Open practice (new tab)
Before you open · source notes

Benchmark comparisons support comparing fractions. Not every unlike-denominator algorithm drill.

Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.

Before you open

Ask the learner to compare two fractions using 1/2 or 1 as a benchmark and explain.

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. “Comparing Fractions Using Benchmarks Game.” 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

  • Order 3/4, 7/8, 5/6, and 11/12 from smallest to largest
  • Compare 7/5 and 4/3 using common denominators
  • Place improper fractions and mixed numbers on a number line in correct order
“If your child needs to sort 5/3, 7/4, and 2/1 in order from smallest to biggest, can they convert them to a common denominator and order them correctly?”

Curriculum record

Type
Procedural
Subject
Mathematics
Domain
Fractions
Age range
Ages 10–13

Standards

acara-v9:AC9M5N03acara-v9:AC9M6N03the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G5-B1.4the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G6-B1.3the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G7-B1.3uk-nc-2013:Ma6/2.3b