Free Grade 3 Working with Histograms Lesson Plans
Free Grade 3 lesson plans for Working with Histograms: 12 real questions with a full answer key and worked solutions. Charts show data visually. In a pie chart, each category's angle is its fraction of the total multiplied by 360°.
Free
Higher
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with histograms
Identify working with histograms accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with histograms
Explain working with histograms accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with histograms
Calculate working with histograms accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with histograms
Compare working with histograms accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Working with Histograms works
Charts show data visually. In a pie chart, each category's angle is its fraction of the total multiplied by 360°.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.In a survey: Red 7, Blue 4, Green 3, Yellow 5. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 7, Blue 3, Green 13, Yellow 13. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 6, Blue 14, Green 10, Yellow 10. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 2, Blue 14, Green 15, Yellow 8. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 4, Blue 11, Green 10, Yellow 3. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 8, Blue 12, Green 12, Yellow 5. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 3, Blue 14, Green 11, Yellow 12. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 2, Blue 13, Green 10, Yellow 3. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 15, Blue 9, Green 13, Yellow 9. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 7, Blue 8, Green 2, Yellow 12. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 3, Blue 5, Green 5, Yellow 6. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 9, Blue 5, Green 11, Yellow 7. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 56.8°
Total = 19. Green fraction = 3/19. 3/19 × 360° = 56.8°.
2. 130°
Total = 36. Green fraction = 13/36. 13/36 × 360° = 130°.
3. 126°
Total = 40. Blue fraction = 14/40. 14/40 × 360° = 126°.
4. 129.2°
Total = 39. Blue fraction = 14/39. 14/39 × 360° = 129.2°.
5. 38.6°
Total = 28. Yellow fraction = 3/28. 3/28 × 360° = 38.6°.
6. 116.8°
Total = 37. Blue fraction = 12/37. 12/37 × 360° = 116.8°.
7. 99°
Total = 40. Green fraction = 11/40. 11/40 × 360° = 99°.
8. 25.7°
Total = 28. Red fraction = 2/28. 2/28 × 360° = 25.7°.
9. 70.4°
Total = 46. Yellow fraction = 9/46. 9/46 × 360° = 70.4°.
10. 149°
Total = 29. Yellow fraction = 12/29. 12/29 × 360° = 149°.
11. 94.7°
Total = 19. Green fraction = 5/19. 5/19 × 360° = 94.7°.
12. 101.3°
Total = 32. Red fraction = 9/32. 9/32 × 360° = 101.3°.
Worked examples
In a survey: Red 9, Blue 9, Green 4, Yellow 11. In a pie chart, what angle does Red get?
- Total = 33.
- Red fraction = 9/33.
- 9/33 × 360° = 98.2°.
- Answer: 98.2°
In a survey: Red 2, Blue 3, Green 10, Yellow 8. In a pie chart, what angle does Green get?
- Total = 23.
- Green fraction = 10/23.
- 10/23 × 360° = 156.5°.
- Answer: 156.5°
In a survey: Red 2, Blue 5, Green 11, Yellow 5. In a pie chart, what angle does Green get?
- Total = 23.
- Green fraction = 11/23.
- 11/23 × 360° = 172.2°.
- Answer: 172.2°
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Uses 100 instead of 360 for pie-chart angles.
Correction: A full circle is 360°.
Forgets to find the total first.
Correction: Add all frequencies before working out fractions.
Teacher tips
- · Have pupils check that all angles add to 360°.
Parent tips
- · Look at charts in the news and ask what they show.
Real-life applications
- · News infographics, survey results.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
Every free resource for Working with Histograms
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Frequently asked
- Is this Grade 3 Working with Histograms lesson plan really free?
- Yes. Every lesson plans on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Introducing Histograms, Scatter Graphs. Each one has its own free lesson, worksheet and quiz.
- How is the lesson plan sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Working with Histograms?
- Move on to Histograms in Context, Bar Charts, Pie Charts, Line Graphs, which build directly on this idea.
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