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MathematicsMultiplication & DivisionAges 7–9

Arrays for multiplication (age 7+)

Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and 5 columns; write an equation to express the total as a sum of equal addends

Lesson

Set out your lesson

Use equal rows to turn an array into repeated addition.

Before teaching

Activity

Ask for an example of one prerequisite idea; revisit if needed. Historical graph coverage does not establish this learner’s readiness.

Printer, credit, and teaching notes
Instructions

Use drawn dots or large counters. Count rows from top to bottom and columns left to right; no tiny pieces around young children.

No Printer

Use supplied stage sheets on screen or scrap paper; keep adult keys separate.

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.

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Use equal rows to turn an array into repeated addition.

Use equal rows to turn an array into repeated addition.

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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

Counting Dots in Arrays

Open practice (new tab)
Before you open · source notes

Choose repeated-addition expressions that match a rectangular array of dots. This is array-to-addition practice, not every multiplication fact.

Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.

Before you open

Ask how many rows and how many in each row, then which sums match. Keep solution choices private while the learner works.

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. “Counting Dots in Arrays.” 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

  • Count objects in a 3×4 array and write 4 + 4 + 4 = 12
  • Explain that each row has the same number of objects so the total can be found by repeated addition
  • Draw a rectangular array to model a given repeated-addition equation
“If your child sees 4 rows of 5 stickers on a sheet, can they use repeated addition — '5 + 5 + 5 + 5' — to find the total, and write it as an equation?”

Curriculum record

Type
Conceptual
Subject
Mathematics
Domain
Multiplication & Division
Age range
Ages 7–9

Standards

acara-v9:AC9M2N05ccss-math:2.OA.4the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G3-B2.6