Multiplying by Tens
Multiply one-digit whole numbers by multiples of 10 in the range 10–90 using strategies based on place value and properties of operations
Lesson
Set out your lesson
“Multiplying by Tens means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.”
Bring to the table
- Small counters or grid paper
- Paper and pencil
Extra for the adult
Worked example. Three rows of four counters make 12. Write 3 × 4 = 12.
Optional challenge. For Multiplying by Tens, add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Multiplying by Tens, not mastery.
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Teaching approaches
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1 approach
Multiplying by Tens means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.
Materials: Small counters or grid paper; Paper and pencil. Adult models 3 × 4 as three groups of four, then writes the product. Child builds three multiplication examples as equal groups and records each product. Done: three correct products with groups matching the writing. Stop after the fresh check; keep optional challenge for another day.
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Practice this concept
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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
How Many Colored Pencils?
Before you open · source notes
Four boxes of ten pencils at each table, and six tables, connect multiplication to groups of ten. Use a sketch or base-ten model. No purchase and no extra materials are required.
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 tens are at one table, then how the tables repeat that group. A spoken total is not fluency with every multi-digit product.
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 2026-11-10 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. “How Many Colored Pencils?.” 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
- Calculate 7 × 30 = 210 by reasoning 7 × 3 tens = 21 tens = 210
- Explain why multiplying by a multiple of 10 adds a zero to the product
- Use this skill to estimate products of larger numbers
“Can your child quickly work out '7 × 40' or '6 × 80' by first doing the single-digit multiplication and then placing the zero — getting 280 and 480?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Multiplication & Division
- Age range
- Ages 8–10
Standards