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MathematicsFractionsAges 10–13

Multiplying fractions (age 10+)

Multiply a fraction or whole number by a fraction, including proper fractions by proper fractions; interpret (a/b) × q as a parts of q partitioned into b equal parts; write answers in simplest form

Lesson

Set out your lesson

Interpret fraction multiplication as taking a fraction of a quantity, and connect the product to an area model.

Before teaching

Use this short check, then start teaching.

Activity

Check that 2/3 of three equal parts and fraction times whole-number examples make sense. Revisit mt_TgHxujL81r if needed; use mt_b7T-CjOYUR when simplification is uncertain. Canonical ages are 10–11, not a readiness guarantee. These activity checks are inferred; source availability is not mastery.

Policy

Check learner readiness directly; prerequisite availability is not attainment.

Printer, credit, and teaching notes

Check learner readiness directly; prerequisite availability is not attainment.

Instructions

Use the supplied screen sheets or print only the active sheet. A pencil and scrap paper are enough; no printer, purchase, cutting, cooking, food handling or personal disclosure is required. Read Show first, then use Together with support. Put Show and adult keys aside before Try. Stories are fictional; no activity is evidence until the learner actually attempts it. Allow drawing, pointing, oral explanation or adult scribing; record the support actually used. Scribed mathematics is not independent handwriting. Pause or return to a prerequisite when needed, without treating uncertainty as failure.

Teach The Idea

Taking a/b of a quantity means divide that quantity into b equal shares and take a shares. For a fraction of a fraction, partition one fixed whole in both directions. The overlap counts parts of the original whole, not parts of a newly enlarged whole. Simplify only after preserving the amount.

Teaching Procedure

Read the Show model aloud while tracing the relevant unit. In Together, invite an attempt before giving the private hint. Ask the learner to explain why the operation fits. For Try, remove worked material and let the learner choose a representation. Discuss mistakes after recording the attempt, then retry another day if useful.

Models And Materials

Supplied fixed-unit models make partition size, equal sharing or square-area units visible. Learner diagrams are blank scaffolds or stated givens, not worked answers. Screen or paper drawing serves the purpose; no digital interactive is needed.

Use the complete materials on screen or print only the current sheet. Keep adult guidance out of learner view.

Next: Show

Share teaching feedback

Continue learning
Share and support
Family records and proof options

Keep a record of your learning

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

Learning resources

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

PhET Interactive Simulations · Practice link — not the full lesson

Fraction Matcher

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

Fraction Matcher supports hands-on exploration for Multiplying fractions (age 10+). Not every lab worksheet.

Free interactive page, no sign-in required for the tested path.

Before you open

Ask the learner what they changed in the sim or page and what they observed.

Opening this link does not save learning or assess mastery.

Source, access and review notes

Public PhET Interactive Simulations page. An anonymous GET on 2026-11-12 returned HTTP 200 with no login or payment prompt for this URL. Opening the link does not save practice or assess mastery. An adult should preview and guide the learner.

PhET Interactive Simulations. “Fraction Matcher.” External page; Gakuva does not copy, host, embed, or redistribute materials.

Unknown — link only

Check understanding

  • Compute (2/3) × (4/5) = 8/15 and show with an area model
  • Use a visual model to demonstrate (2/3) × 4 = 8/3 = 2 2/3
  • Simplify the product 3/4 × 2/3 = 6/12 = 1/2
“If a recipe uses 2/3 of a bag of flour and your child only wants to make 3/4 of the recipe, can they multiply those fractions to find out how much flour they need?”

Curriculum record

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

Standards

acara-v9:AC9M6N07ccss-math:5.NF.4ccss-math:5.NF.4.athe-ontario-curriculum-mathematics-2020:ON-MATH-2020-G7-B2.8the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G7-B2.9uk-nc-2013:Ma6/2.3d