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MathematicsNumber Representation & Place ValueAges 3–8

The two digits of a two-digit number

Understand that the two digits of a two-digit number represent amounts of tens and ones

Lesson

Set out your lesson

Represent digits as tens and ones, including zero ones.

Before teaching

Readiness

Show ten ones. Name the group and show fifteen as a ten and ones. Response: __________________

Printer, credit, and teaching notes

Check readiness before Show. Record the actual response and help. Pause if needed.

Setup notes
Sequence
  • Check readiness before Show. Record actual help. Pause for prerequisite teaching when needed.

  • Open Show models first. Work through Guided with feedback after the first attempt.

  • Close earlier worked answers for Try. Keep adult keys private.

  • Stop, skip, or take a break on request. No private personal information is needed.

No Printer

Use active materials on screen. Draw on scrap paper or use typed columns. Record every adaptation.

Physical Route

Use base-ten rods and cubes, when available. Build 47, then identify the four rods and seven cubes.

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.

Next: Show

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Teaching approaches

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1 approach

Selected Default Gakuva

Represent digits as tens and ones, including zero ones.

Represent digits as tens and ones, including zero ones.

Family records and proof options

Keep a record of your learning

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

The Very Hungry Caterpillar

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

Story totals from Eric Carle’s caterpillar week are regrouped as tens and ones. Use it to talk about the two digits of a two-digit number. An adult may read the story context.

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

Before you open

Ask which digit shows tens and which shows ones for one daily total. Keep any solution section for the adult.

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. “The Very Hungry Caterpillar.” 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 in 47, the 4 represents 4 tens (40) and the 7 represents 7 ones
  • Use base-ten blocks to show a two-digit number as tens and ones
  • Identify the tens digit and ones digit in any two-digit number
“If your child sees the number 47, can they tell you there are 4 tens (forty) and 7 ones — rather than just reading the digits as 'four seven'?”

Curriculum record

Type
Conceptual
Subject
Mathematics
Domain
Number Representation & Place Value
Age range
Ages 3–8

Standards

acara-v9:AC9M1N02acara-v9:AC9M2N02ccss-math:1.NBT.2ncert-ncfse-2023-ed2024:IN-NCERT-NCFSE-2023-ED2024-FOUNDATION-COG-COMP-C-8.5the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G1-B1.1the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G1-B1.2uk-nc-2013:Maths/Y2/NPV/2