Adding and subtracting (age 9+)
Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why
Lesson
Set out your lesson
Track several additions and subtractions in a five-digit context. Keep a labeled intermediate total and justify each method.
Before teaching
Use this short check, then start teaching.
Ask the learner to plan a start of 100 items, 30 received and 20 used (110 remain). Then use the preceding two-step and large-column lessons as needed. Ask why a target minus the amount already collected gives the shortfall. Do not infer readiness from source availability.
Check readiness directly. Prerequisite availability is not attainment.
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Teaching approaches
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1 approach
Track several additions and subtractions in a five-digit context. Keep a labeled intermediate total and justify each method.
Track several additions and subtractions in a five-digit context. Keep a labeled intermediate total and justify each method.
Family records and proof options
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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
At the Park
Before you open · source notes
At the Park supports adding and subtracting (age 9+). Not every worksheet pack.
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 explain one step of “At the Park” in their own words.
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. “At the Park.” 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
- A school collects 12,450 bottles in Week 1 and 8,372 in Week 2; their target is 25,000 — how many more do they need?
- Choose between mental and written methods for each step and explain why
- Solve a three-step problem involving addition and subtraction of five-digit numbers
“If your child is given a multi-step problem — like planning a budget where money is added and spent in several steps — can they decide which operations to use at each stage and explain their thinking?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Addition & Subtraction
- Age range
- Ages 9–11
Standards