Free Grade 3 Introducing Histograms Techniques Lesson Plans
Free Grade 3 lesson plans for Introducing Histograms Techniques: 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
Stretch
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing histograms techniques
Explain introducing histograms techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing histograms techniques
Calculate introducing histograms techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing histograms techniques
Compare introducing histograms techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing histograms techniques
Justify introducing histograms techniques 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 Techniques 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 10, Blue 2, Green 15, Yellow 9. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 14, Blue 11, Green 10, Yellow 2. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 5, Blue 9, Green 9, Yellow 10. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 4, Blue 11, Green 6, Yellow 8. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 12, Blue 5, Green 2, Yellow 14. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 11, Blue 6, Green 12, Yellow 2. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 12, Blue 11, Green 7, Yellow 8. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 12, Blue 11, Green 11, Yellow 4. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 7, Blue 3, Green 15, Yellow 2. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 9, Blue 10, Green 11, Yellow 7. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 10, Blue 4, Green 10, Yellow 14. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 5, Blue 11, Green 6, Yellow 7. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 90°
Total = 36. Yellow fraction = 9/36. 9/36 × 360° = 90°.
2. 19.5°
Total = 37. Yellow fraction = 2/37. 2/37 × 360° = 19.5°.
3. 109.1°
Total = 33. Yellow fraction = 10/33. 10/33 × 360° = 109.1°.
4. 74.5°
Total = 29. Green fraction = 6/29. 6/29 × 360° = 74.5°.
5. 54.5°
Total = 33. Blue fraction = 5/33. 5/33 × 360° = 54.5°.
6. 69.7°
Total = 31. Blue fraction = 6/31. 6/31 × 360° = 69.7°.
7. 66.3°
Total = 38. Green fraction = 7/38. 7/38 × 360° = 66.3°.
8. 113.7°
Total = 38. Red fraction = 12/38. 12/38 × 360° = 113.7°.
9. 40°
Total = 27. Blue fraction = 3/27. 3/27 × 360° = 40°.
10. 107°
Total = 37. Green fraction = 11/37. 11/37 × 360° = 107°.
11. 94.7°
Total = 38. Green fraction = 10/38. 10/38 × 360° = 94.7°.
12. 86.9°
Total = 29. Yellow fraction = 7/29. 7/29 × 360° = 86.9°.
Worked examples
In a survey: Red 13, Blue 6, Green 5, Yellow 11. In a pie chart, what angle does Yellow get?
- Total = 35.
- Yellow fraction = 11/35.
- 11/35 × 360° = 113.1°.
- Answer: 113.1°
In a survey: Red 13, Blue 3, Green 10, Yellow 3. In a pie chart, what angle does Yellow get?
- Total = 29.
- Yellow fraction = 3/29.
- 3/29 × 360° = 37.2°.
- Answer: 37.2°
In a survey: Red 2, Blue 9, Green 14, Yellow 15. In a pie chart, what angle does Red get?
- Total = 40.
- Red fraction = 2/40.
- 2/40 × 360° = 18°.
- Answer: 18°
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 Techniques 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 Essentials, 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 Techniques?
- Move on to Introducing Histograms Word Problems, Introducing Histograms Common Errors, Working with Histograms, Histograms in Context, which build directly on this idea.
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