Rows & Columns in Rectangles
Partition a rectangle into rows and columns of same-size squares and count to find the total number of them
Lesson
Set out your lesson
Partition a rectangle into equal squares and count by rows.
Before teaching
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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
Partitioning a Rectangle into Unit Squares
Before you open · source notes
A rectangle is partitioned into equal rows and columns of unit squares. This supports rows-and-columns structure, not every area formula.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk how many equal rows and columns are shown, then count the unit squares. Partitioning alone does not prove independent area formulas.
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 2026-11-11 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. “Partitioning a Rectangle into Unit Squares.” 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
- Divide a rectangle into equal rows and columns of unit squares
- Count the total number of squares using repeated addition or skip counting
- Relate the rows-and-columns structure to a rectangular array
“Can your child draw lines to divide a rectangle into a neat grid of equal squares, then count all the squares to find the total?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Multiplication & Division
- Age range
- Ages 7–8
Standards