Multiplication as repeated addition
Understand multiplication as repeated addition and grouping equal sets
Lesson
Set out your lesson
“Multiplication is equal groups. 3 groups of 2 is the same as 2 + 2 + 2. An array shows equal rows, which is another way to see the same total.”
Bring to the table
- 12 large counters or blocks
- 4 small cups or paper circles for groups
- Paper and pencil
Extra for the adult
Worked example. 3 groups of 2 → 2 + 2 + 2 = 6. Array of 3 rows of 4 → 4 + 4 + 4 = 12, or 3 groups of 4.
Optional challenge. Turn 2 + 2 + 2 + 2 into “4 groups of 2” and build the matching array.
What to notice. Save a photo of the groups or array and a parent note with one equation such as “2 + 2 + 2 = 6.”
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Teaching approaches
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1 approach
Multiplication is equal groups. 3 groups of 2 is the same as 2 + 2 + 2. An array shows equal rows, which is another way to see the same total.
Spend about 15 minutes building equal groups, writing the repeated addition, and making one small array.
Family records and proof options
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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.
Illustrative Mathematics · Practice link — not the full lesson
Partitioning a Rectangle into Unit Squares
Before you open · source notes
Partitioning a rectangle into unit squares supports multiplication as repeated addition. Not every long-division algorithm.
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 count equal rows or columns and say the total as repeated addition or multiplication.
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. “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
- Explain that 3 groups of 2 is the same as 2 + 2 + 2
- Use objects to make equal groups and count the total
- Recognise an array as showing equal rows
“If your child needs to count 4 bags with 3 apples in each, can they see that instead of counting all 12 one by one, they could add 3 + 3 + 3 + 3 — or say '4 groups of 3'?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Multiplication & Division
- Age range
- Ages 3–10
Standards