Adding numbers
Add up to four two-digit numbers using strategies based on place value and properties of operations
Lesson
Set out your lesson
“Adding numbers 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
- 20 counters or beans
- Paper and pencil for recording sums
Extra for the adult
Worked example. 7 counters plus 5 counters make 12. Write 7 + 5 = 12.
Optional challenge. For Adding numbers, add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Adding numbers, not mastery.
Share and support
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Teaching approaches
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1 approach
Adding numbers 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: 20 counters or beans; Paper and pencil for recording sums. Adult models 7 + 5 with counters, then writes the sum. Child builds three addition problems with counters and records each sum. Done: three correct sums with counters matching the written numbers. 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 practiceAdding numbers practice
Practice key ideas from Adding numbers.
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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
Toll Bridge Puzzle
Before you open · source notes
A bridge puzzle asks for a path that combines four toll values and starts with 100 coins. The page says this puzzle is instructional and not appropriate for assessment.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openTreat a found route as a teaching conversation about adding four amounts. Trial-and-error means one success is not a score.
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 2026-11-10 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. “Toll Bridge Puzzle.” 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
- Add three or four two-digit numbers by grouping tens and ones
- Look for pairs that make multiples of 10 to simplify addition
- Explain the strategy used to combine multiple addends
“Can your child add up four two-digit numbers — like '14 + 23 + 32 + 19' — by grouping them cleverly, rather than just plodding through from left to right?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Addition & Subtraction
- Age range
- Ages 7–8
Standards