Sorting Data into Categories
Organise and represent data with up to three categories by counting objects in each category and sorting categories by quantity
Lesson
Set out your lesson
“Sorting data into categories means putting each object into one named group, counting each group, writing the counts, and ordering the groups from most to fewest or fewest to most. Keep at most three categories today. Every object should fit one category; set aside anything unclear rather than forcing it.”
Bring to the table
- A mixed collection of about 12–18 household objects that clearly fit up to three categories (for example spoons, forks, and butter knives; or red, blue, and yellow blocks)
- Paper and pencil for a simple three-row list or table
- Clear table or floor space
Extra for the adult
Worked example. Labels: spoon, fork, knife. After sorting: spoons 6, forks 4, knives 3. The table lists those three counts. Most to fewest: spoon, fork, knife.
Optional challenge. For Sorting Data into Categories, keep the same objects but invite the child to propose a different valid three-category rule (still mutually clear), rebuild the table, and compare whether the most/fewest order changed. Do not require overlapping or hidden attributes.
What to notice. Keep the written table (category names and counts) plus a parent note quoting the most-to-fewest or fewest-to-most order and any support. A photo of piled objects without counts does not show the representation. This session uses one collection and up to three categories only.
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Teaching approaches
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Sorting data into categories means putting each object into one named group, counting each group, writing the counts, and ordering the groups from most to fewest or fewest to most. Keep at most three categories today. Every object should fit one category; set aside anything unclear rather than forcing it.
Spend about 15 minutes sorting a ready mixed collection into up to three given categories, counting each group, recording a simple table, and ordering the categories by quantity.
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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
Favorite Ice Cream Flavor
Before you open · source notes
Record three ice-cream categories, create a graph, and compare the category counts. A classroom survey is described; that survey is not built-in website functionality.
Free, no sign-in. Use the student view with your child.
Before you openA family can survey a few people or use clearly labelled fictional responses. That survey adaptation is parent-authored, not an observed feature of the page.
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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. “Favorite Ice Cream Flavor.” 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
- Sort a set of objects into 2-3 given categories and count each group
- Create a simple table or list showing category names and counts
- Order categories from most to fewest or fewest to most
“Can your child look at a collection of objects — like different coloured counters — sort them into up to three groups, count each group, and organise the results into a simple chart?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Data & Statistics
- Age range
- Ages 6–8
Standards