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MathematicsData & StatisticsAges 6–13

Sorting into categories (age 6+)

Interpret categorical data by asking and answering questions about totals, how many in each category, and how many more or less one category has than another

Lesson

Set out your lesson

Answer category, total and comparison questions from one small data set.

Before teaching

Use this short check, then start teaching.

Activity

Comfort with the particular task and communication mode; optional oral/scribed work is recorded separately.

Policy

Check the learner can access these words/materials and prerequisite ideas; historical authorship is not readiness or mastery. If not, demonstrate briefly or revisit the named prerequisite.

Printer, credit, and teaching notes

Check the learner can access these words/materials and prerequisite ideas; historical authorship is not readiness or mastery. If not, demonstrate briefly or revisit the named prerequisite.

Use the invented fruit-vote cards; each mark represents one vote, not one real child. No printer: view only the active learner card on screen, or an adult copies its exact prompts onto plain paper without answers. Oral pointing/dictation is an access option; record it as adapted/supported and do not claim handwriting from it. Keep adult keys/scripts separate; supply only the current stage.

Use the complete materials on screen or print only the current sheet. Keep adult guidance out of learner view.

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Teaching approaches

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1 approach

Selected Default Gakuva

Answer category, total and comparison questions from one small data set.

Answer category, total and comparison questions from one small data set.

Family records and proof options

Keep a record of your learning

Save photos, notes, and attendance. Export a proof packet for compliance or portfolio reviews.

Learning resources

Extra practice links — they do not replace Gakuva’s teaching approach.

Illustrative Mathematics · Practice link — not the full lesson

Sort and Count II

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

A second sort-and-count task supports sorting into categories with a new set. Not every probability tree.

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 sort a new set, count each group, and say one rule they used.

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. “Sort and Count II.” 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

  • Answer 'how many?' for each category in a data set
  • Calculate the total number of data points across all categories
  • Compare two categories using 'how many more/fewer' language
“If your child looks at a chart showing how many children chose each flavour of ice cream, can they answer questions like "how many chose chocolate?" and "how many more chose vanilla than strawberry?"”

Curriculum record

Type
Procedural
Subject
Mathematics
Domain
Data & Statistics
Age range
Ages 6–13

Standards

acara-v9:AC9M1ST02acara-v9:AC9M2ST01ccss-math:1.MD.4the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G1-D1.5the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G2-D1.5the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G3-D1.5the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G4-D1.6the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G5-D1.6the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G6-D1.6the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G7-D1.6uk-nc-2013:Ma/KS2/Y3/S/3uk-nc-2013:Maths/Y2/S/3