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MathematicsNumber Representation & Place ValueAges 7–9

The three digits of a three-digit number

Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones

Lesson

Set out your lesson

Represent and partition three-digit numbers, including an empty tens place.

Before teaching

Readiness

Show one hundred as ten tens. Show 42 as tens 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 hundred flats, ten-rods, and cubes, when available. Record physical building separately from drawings.

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

Share teaching feedback

Continue learning
Share and support
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

Looking at Numbers Every Which Way

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

A three-digit number is shown with hundreds, tens, and ones in several matching representations. This supports reading the three digits, not every comparison skill.

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

Before you open

Ask for the value of each digit in one example. Matching cards alone do not prove independent place-value writing.

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. “Looking at Numbers Every Which Way.” 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

  • State the value of each digit in a three-digit number (e.g. in 362, the 3 represents 3 hundreds)
  • Partition a three-digit number into hundreds, tens, and ones (e.g. 485 = 400 + 80 + 5)
  • Explain why 706 has 7 hundreds, 0 tens, and 6 ones
“If your child sees the number 348, can they tell you there are 3 hundreds, 4 tens, and 8 ones — rather than just reading the digits as 'three four eight'?”

Curriculum record

Type
Conceptual
Subject
Mathematics
Domain
Number Representation & Place Value
Age range
Ages 7–9

Standards

acara-v9:AC9M2N01acara-v9:AC9M2N02ccss-math:2.NBT.1the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G2-B1.1the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G3-B1.1the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G3-B1.5uk-nc-2013:Ma/KS2/Y3/NPV/2