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MathematicsAlgebraAges 10–13

Systematic Listing

Enumerate possibilities of combinations of two variables systematically (e.g. all ways to choose from a set of options)

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Systematic listing finds every possible outcome without repeats. An organized table, tree, or fixed order helps prove the list is complete.

List all outcomes for a two-part choice, first informally and then with an organized method.

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Learning resources

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Illustrative Mathematics · Practice link — not the full lesson

Jog-A-Thon

Open practice (new tab)
Before you open · source notes

Jog-A-Thon supports systematic listing. 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 open

Ask the learner to explain one step of “Jog-A-Thon” 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. “Jog-A-Thon.” 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

  • List all possible meal combinations from 3 starters and 4 mains
  • Organise combinations into a systematic table to ensure none are missed
  • Explain why the total number of combinations equals the product of the options in each category
“If your child can choose any combination of 3 T-shirt colours and 2 trouser colours, can they list every possible outfit without missing any or repeating?”

Curriculum record

Type
Procedural
Subject
Mathematics
Domain
Algebra
Age range
Ages 10–13

Standards

the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G6-D2.2the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G7-D2.2uk-nc-2013:Ma6/2.5e