Area and perimeter of rectangles
Apply the area formula (l × w) and perimeter formula (2l + 2w) for rectangles including squares in real-world and mathematical problems; calculate and compare areas using standard units (cm², m²) and estimate areas of irregular shapes
Lesson
Set out your lesson
Distinguish area from perimeter, recover a missing width and estimate area from a square grid.
Before teaching
Use this short check, then start teaching.
Learner readiness not observed. Ask for the area and perimeter of a 3 by 2 rectangle. If the learner counts the same thing for both, revisit rectangle area and perimeter before decimals.
Check learner readiness separately; the existence of a prerequisite lesson is not evidence of attainment.
Share and support
Family records and proof options
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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
Rectangle Perimeter 3
Before you open · source notes
Rectangle Perimeter 3 supports relating perimeter expressions for rectangles. Not every surface-area net.
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 compare perimeter expressions and say what stays the same.
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. “Rectangle Perimeter 3.” 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
- Find the width of a room given area = 48 m² and length = 8 m
- Calculate the area of a square with side 7.5 cm
- Estimate the area of an irregular pond drawn on a cm² grid
“If your child wants to carpet a room 6.5 m × 4 m, can they calculate the area — and also work out how many metres of skirting board are needed around the edge?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Measurement
- Age range
- Ages 9–13
Standards