Numbers to 10,000
Identify, represent, and estimate numbers up to 10,000 using different representations
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1858 concepts · 9 subjects
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Teaching approaches
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1 approach
Numbers to 10,000 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: Counters or paper models for the idea; Pencil for recording. Adult models one concrete example of the idea. Child completes three concrete examples and says a reason each time. Done: three correct examples with a spoken reason each. Stop after the fresh check; keep optional challenge for another day.
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Practice this concept
Start practiceNumbers to 10,000 practice
Practice key ideas from Numbers to 10,000.
Free · no login · no ads · Practice answers and completion are not saved. Parent observation remains the lesson record.
Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
Illustrative Mathematics · Practice link — not the full lesson
Largest Number Game
Before you open · source notes
Building the largest number supports reading and writing numbers toward 10,000. Not every decimal place.
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 arrange digits to make the largest number and read it aloud.
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. “Largest Number Game.” 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
- Represent a four-digit number on a place-value chart or with base-ten materials
- Estimate where a number falls on a 0–10,000 number line
- Match different representations of the same number (e.g. expanded form, place-value counters, numeral)
“Can your child mark a number like 6,400 roughly in the right place on a number line that goes from 0 to 10,000 — and explain how they decided where to put it?”
Curriculum record
- Type
- Representational
- Subject
- Mathematics
- Domain
- Number Representation & Place Value
- Age range
- Ages 8–10
Standards