Comparing results from two groups
Predict whether the category counts from one group (e.g. a class tally of favourite fruit) will be the same in a different group of the same size, collect or check the second group's counts, compare the two tallies or pictographs category by category, and explain why equal-size groups can still give different counts
Lesson
Set out your lesson
“Comparing results from two groups means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.”
Bring to the table
- Tally sheet or simple bar sketch
- A short set of category counts
Extra for the adult
Worked example. Cats 4, dogs 2 — cats have more. The tally and comparison are the proof.
Optional challenge. For Comparing results from two groups, add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Comparing results from two groups, not mastery.
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Teaching approaches
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1 approach
Comparing results from two groups 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: Tally sheet or simple bar sketch; A short set of category counts. Adult tallies one category and sketches a bar. Child tallies three categories and answers one comparison question. Done: three tallies plus one correct comparison. Stop after the fresh check; keep optional challenge for another day.
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Practice this concept
Start practiceComparing results from two groups practice
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Learning resources
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Illustrative Mathematics · Practice link — not the full lesson
Comparing Fractions with a Different Whole
Before you open · source notes
Comparing Fractions with a Different Whole supports comparing results from two groups. 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 “Comparing Fractions with a Different Whole” in their own words.
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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 2026-11-12 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. “Comparing Fractions with a Different Whole.” 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
- Predict before collecting whether another class of the same size will choose favourite fruits in the same numbers as their own class, and give a reason
- Collect or check the second group's tallies and compare them with the first group's category by category (e.g. 'apples: 8 in ours, 5 in theirs')
- Say whether their prediction was right and explain that groups of the same size can like different things, so their counts need not match
“If your child's class voted on favourite fruit, could they guess whether another class of the same size would vote the same way, check that class's votes, and explain why the numbers came out different?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Data & Statistics
- Age range
- Ages 6–13
Standards