Scaled picture and bar graphs
Draw a scaled picture graph and a scaled bar graph to represent a data set; solve one- and two-step comparison, sum, and difference problems using bar charts, pictograms, and tables
Lesson
Set out your lesson
Practise the bounded task in Representing numbers with objects (age 8+); see exact limits before inferring broader coverage.
Before teaching
Use this short check, then start teaching.
Counts in twos and fives; a symbol represents a stated quantity, not always one.
Exact directed source edges retained; earlier authorship is not learner attainment.
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1 approach
Practise the bounded task in Representing numbers with objects (age 8+); see exact limits before inferring broader coverage.
Practise the bounded task in Representing numbers with objects (age 8+); see exact limits before inferring broader coverage.
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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
Button Diameters
Before you open · source notes
Button Diameters supports scaled picture and measurement displays of data. Not every mean formula.
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 what each picture or mark stands for and read one scaled value.
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. “Button Diameters.” 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
- Draw a bar graph where each square represents 5 pets
- From a scaled pictogram, answer: how many more children chose football than tennis?
- Solve a two-step problem: how many votes in total for the top two choices?
“If your child looked at a bar chart showing how many books different children read last month, could they work out the total, find the difference between the most and least, and draw their own chart with a scale like "each square = 2 books"?”
Curriculum record
- Type
- Representational
- Subject
- Mathematics
- Domain
- Data & Statistics
- Age range
- Ages 8–13
Standards