Free Grade 3 Introducing Histograms Lesson Plans
Free Grade 3 lesson plans for Introducing 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
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing histograms
Identify introducing histograms accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing histograms
Explain introducing histograms accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing histograms
Calculate introducing histograms accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing histograms
Compare introducing 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 Introducing 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 4, Blue 14, Green 4, Yellow 9. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 8, Blue 15, Green 5, Yellow 10. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 11, Blue 8, Green 4, Yellow 12. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 8, Blue 7, Green 10, Yellow 14. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 2, Blue 11, Green 14, Yellow 4. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 7, Blue 8, Green 14, Yellow 9. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 3, Blue 6, Green 11, Yellow 12. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 11, Blue 12, Green 7, Yellow 6. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 6, Blue 7, Green 12, Yellow 3. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 2, Blue 15, Green 15, Yellow 8. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 3, Blue 5, Green 2, Yellow 12. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 14, Blue 10, Green 9, Yellow 3. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 46.5°
Total = 31. Red fraction = 4/31. 4/31 × 360° = 46.5°.
2. 94.7°
Total = 38. Yellow fraction = 10/38. 10/38 × 360° = 94.7°.
3. 123.4°
Total = 35. Yellow fraction = 12/35. 12/35 × 360° = 123.4°.
4. 73.8°
Total = 39. Red fraction = 8/39. 8/39 × 360° = 73.8°.
5. 162.6°
Total = 31. Green fraction = 14/31. 14/31 × 360° = 162.6°.
6. 85.3°
Total = 38. Yellow fraction = 9/38. 9/38 × 360° = 85.3°.
7. 135°
Total = 32. Yellow fraction = 12/32. 12/32 × 360° = 135°.
8. 120°
Total = 36. Blue fraction = 12/36. 12/36 × 360° = 120°.
9. 90°
Total = 28. Blue fraction = 7/28. 7/28 × 360° = 90°.
10. 18°
Total = 40. Red fraction = 2/40. 2/40 × 360° = 18°.
11. 49.1°
Total = 22. Red fraction = 3/22. 3/22 × 360° = 49.1°.
12. 140°
Total = 36. Red fraction = 14/36. 14/36 × 360° = 140°.
Worked examples
In a survey: Red 13, Blue 10, Green 9, Yellow 12. In a pie chart, what angle does Blue get?
- Total = 44.
- Blue fraction = 10/44.
- 10/44 × 360° = 81.8°.
- Answer: 81.8°
In a survey: Red 6, Blue 9, Green 11, Yellow 11. In a pie chart, what angle does Red get?
- Total = 37.
- Red fraction = 6/37.
- 6/37 × 360° = 58.4°.
- Answer: 58.4°
In a survey: Red 12, Blue 9, Green 9, Yellow 5. In a pie chart, what angle does Yellow get?
- Total = 35.
- Yellow fraction = 5/35.
- 5/35 × 360° = 51.4°.
- Answer: 51.4°
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.
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Frequently asked
- Is this Grade 3 Introducing 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 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 Introducing Histograms?
- Move on to Working with Histograms, Histograms in Context, Bar Charts, Pie Charts, which build directly on this idea.
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