Sorting data by two attributes
Sort and organise data about people or things according to two attributes at the same time using a Venn diagram (with an overlap), a Carroll diagram or two-way table, or a two-way tally table, and read and answer questions from these logic diagrams and tables
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Sorting data by two attributes 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: Ruler, cup, or clock as fits the topic; Paper for recording. Adult measures one example and records the unit. Child makes three measurements or time/money readings and records each with units. Done: three recordings with correct units. Stop after the fresh check; keep optional challenge for another day.
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Start practiceSorting data by two attributes practice
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Learning resources
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Illustrative Mathematics · Practice link — not the full lesson
Buttons: Statistical Questions
Before you open · source notes
Buttons questions support sorting and asking about data with more than one attribute. Not every probability model.
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 invent a two-attribute sorting question about a set of objects.
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. “Buttons: Statistical Questions.” 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 pictures or shapes into a Venn diagram for two attributes (e.g. 'has stripes' and 'has four legs'), placing items with both in the overlap and items with neither outside
- Record a class survey with two pieces of information (e.g. pet type and whether they walk to school) in a two-way tally table or Carroll diagram and give the total in each cell
- Answer questions from a Venn diagram, Carroll diagram or two-way table (e.g. 'How many have stripes but not four legs?') and draw a simple conclusion
“If your child sorted the family's shoes into a diagram by 'has laces' and 'is black', could they put the shoes that are both in the middle and answer questions like 'how many black shoes have no laces?'”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Data & Statistics
- Age range
- Ages 3–9
Standards