Place value understanding and number facts
Use place value understanding and number facts to solve problems
Lesson
Set out your lesson
Use tens, ones and distance to solve small number problems.
Before teaching
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1 approach
Use tens, ones and distance to solve small number problems.
Use tens, ones and distance to solve small number problems.
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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
Boxes and Cartons of Pencils
Before you open · source notes
Boxes and cartons support place-value understanding with tens and ones. Not every decimal place-value chart.
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 say how many tens and ones are in a boxed total.
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. “Boxes and Cartons of 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
- Use knowledge that 34 = 30 + 4 to help add 34 + 20 = 54
- Solve 'I think of a number, add 10, and get 45. What was my number?'
- Apply partitioning to solve a problem in an unfamiliar context
“If your child is asked 'which number is closest to 50 — 47 or 54?', can they use their number knowledge to answer quickly and explain why?”
Curriculum record
- Type
- Meta
- Subject
- Mathematics
- Domain
- Number Representation & Place Value
- Age range
- Ages 6–7
Standards