Seeing parts within 10
Use subitising to recognise and name the parts of a collection up to 10 and combine them — e.g. seeing 7 on a ten frame as 5 and 2, or a domino as 3 and 3 — connecting part-part-whole thinking to quick recognition
Lesson
Set out your lesson
“Seeing parts within 10 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
- Counters or paper models for the idea
- Pencil for recording
Extra for the adult
Worked example. Adult shows one clear example for Seeing parts within 10, then the child tries a matching example with a reason.
Optional challenge. For Seeing parts within 10, add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Seeing parts within 10, not mastery.
Share and support
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Teaching approaches
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1 approach
Seeing parts within 10 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.
Family records and proof options
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Save photos, notes, and attendance. Export a proof packet for compliance or portfolio reviews.
Practice this concept
Start practiceSeeing parts within 10 practice
Practice key ideas from Seeing parts within 10.
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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
Shake and Spill
Before you open · source notes
Shake-and-spill parts support seeing parts within 10. Not every two-digit regroup.
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 spill counters and name two parts that make the total within 10.
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. “Shake and Spill.” 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
- Look at a ten frame showing 7 and say 'five and two more makes seven' without counting every dot
- Name the two parts on a domino showing 4 and 2 and say the total is 6
- Show 8 as two groups (e.g. 4 and 4, or 5 and 3) and name the parts quickly
“If your child looks at a domino with 4 dots on one side and 2 on the other, can they quickly say 'four and two make six' without counting every dot?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Counting & Cardinality
- Age range
- Ages 5–6
Standards