Area by Tiling

MathematicsMeasurementAges 8–9

Find the area of a rectangle by tiling it with unit squares and show that the result equals the product of the side lengths

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Teaching Table

Set out your lesson

Practise the bounded task in Area by Tiling; see exact limits before inferring broader coverage.

Activity

Can count rows and equal groups; squares represent equal area, not dots on corners.

Policy

Exact directed source edges retained; earlier authorship is not learner attainment.

Materials

These supplied stage cards
Scrap paper and pencil; oral/pointing response where appropriate

Sequence

Read readiness and decide on support without treating prerequisite authoring as learner readiness.
Open Show first and explain its model.
Use Guided Try with support and its separate adult key.
Close Show and guided keys before Try, unless this Try is explicitly supported.
Reflect on an actual attempt, including help used.

No Printer

Use the supplied screen cards; copying the exact task to paper is optional, not required.

Privacy

Use only invented scenarios and optional anonymous local notes. Do not request names, photos, family finances, medical data, accounts or uploads. Stop uncomfortable physical activity.

Use the complete materials on screen or print only the current sheet. Keep adult guidance out of learner view. Retain an earlier model only when the current step supplies it as context.

Teaching limits and safe use

These are finite task opportunities, not proof of mastery. Record what was attempted and what support was used.

Rectangles tiled with whole unit squares only; area opportunity, not general mastery.

Use only invented scenarios and optional anonymous local notes. Do not request names, photos, family finances, medical data, accounts or uploads. Stop uncomfortable physical activity.

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Entire curriculum

1590 concepts · 8 subjects

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Teaching approaches

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1 approach

Selected Default Gakuva

Practise the bounded task in Area by Tiling; see exact limits before inferring broader coverage.

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Learning resources

External links for extra practice. They do not replace Gakuva’s teaching approach.

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Check understanding

Tile a 4×6 rectangle and count 24 squares, then verify 4×6=24
Explain why the number of rows times the number in each row gives the area
Draw a rectangle on squared paper, tile it, and write the multiplication

“If a rectangular room is 4 m long and 3 m wide, can your child work out its area by tiling it with 1-metre squares in their head — and explain why that equals 4 × 3?”

Curriculum record

Type: Procedural
Subject: Mathematics
Domain: Measurement
Age range: Ages 8–9