Area with Fractions
Find the area of a rectangle with fractional side lengths by tiling with unit-fraction squares; show that the area equals the product of the side lengths
Lesson
Set out your lesson
Find fractional rectangle areas with truly square unit-fraction tiles, and distinguish side length from area.
Before teaching
Use this short check, then start teaching.
Check rectangle area using mt_eiB3-6pu6a and fraction multiplication using mt_AabJisinfi. Ask whether a side unit and a square-area unit mean the same thing before proceeding. Canonical ages are 10–11, not a readiness guarantee. These activity checks are inferred; source availability is not mastery.
Check learner readiness directly; prerequisite availability is not attainment.
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Find fractional rectangle areas with truly square unit-fraction tiles, and distinguish side length from area.
Find fractional rectangle areas with truly square unit-fraction tiles, and distinguish side length from area.
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Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
PhET Interactive Simulations · Practice link — not the full lesson
Build a Fraction
Before you open · source notes
Build a Fraction supports hands-on exploration for Area with Fractions. Not every lab worksheet.
Free interactive page, no sign-in required for the tested path.
Before you openAsk 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. “Build a Fraction.” External page; Gakuva does not copy, host, embed, or redistribute materials.
Unknown — link only
Check understanding
- Tile a 2/3 × 3/4 rectangle with 1/12 squares and count to find area = 6/12 = 1/2
- Explain why the number of unit-fraction tiles equals the product of the two fractions
- Calculate the area of a rectangle with sides 1 1/2 and 2/3 using fraction multiplication
“If a piece of fabric is 2/3 m long and 3/4 m wide, can your child work out its area — and explain how tiling it with tiny fraction-squares shows the same answer as multiplying?”
Curriculum record
- Type
- Representational
- Subject
- Mathematics
- Domain
- Fractions
- Age range
- Ages 10–11
Standards