Free Grade 3 Data Collection Lesson Plans
Free Grade 3 lesson plans for Data Collection: 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
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain data collection
Explain data collection accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate data collection
Calculate data collection accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare data collection
Compare data collection accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify data collection
Justify data collection 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 Data Collection 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 6, Green 8, Yellow 6. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 11, Blue 15, Green 4, Yellow 6. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 7, Blue 14, Green 7, Yellow 15. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 6, Blue 14, Green 3, Yellow 15. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 9, Blue 15, Green 9, Yellow 7. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 6, Blue 10, Green 14, Yellow 6. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 6, Blue 11, Green 4, Yellow 14. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 10, Blue 2, Green 12, Yellow 11. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 15, Blue 13, Green 13, Yellow 11. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 11, Blue 12, Green 12, Yellow 3. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 9, Blue 5, Green 4, Yellow 7. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 3, Blue 14, Green 7, Yellow 14. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 96°
Total = 30. Green fraction = 8/30. 8/30 × 360° = 96°.
2. 60°
Total = 36. Yellow fraction = 6/36. 6/36 × 360° = 60°.
3. 58.6°
Total = 43. Green fraction = 7/43. 7/43 × 360° = 58.6°.
4. 142.1°
Total = 38. Yellow fraction = 15/38. 15/38 × 360° = 142.1°.
5. 135°
Total = 40. Blue fraction = 15/40. 15/40 × 360° = 135°.
6. 60°
Total = 36. Red fraction = 6/36. 6/36 × 360° = 60°.
7. 61.7°
Total = 35. Red fraction = 6/35. 6/35 × 360° = 61.7°.
8. 123.4°
Total = 35. Green fraction = 12/35. 12/35 × 360° = 123.4°.
9. 90°
Total = 52. Blue fraction = 13/52. 13/52 × 360° = 90°.
10. 113.7°
Total = 38. Green fraction = 12/38. 12/38 × 360° = 113.7°.
11. 100.8°
Total = 25. Yellow fraction = 7/25. 7/25 × 360° = 100.8°.
12. 28.4°
Total = 38. Red fraction = 3/38. 3/38 × 360° = 28.4°.
Worked examples
In a survey: Red 3, Blue 9, Green 8, Yellow 15. In a pie chart, what angle does Red get?
- Total = 35.
- Red fraction = 3/35.
- 3/35 × 360° = 30.9°.
- Answer: 30.9°
In a survey: Red 4, Blue 15, Green 3, Yellow 8. In a pie chart, what angle does Blue get?
- Total = 30.
- Blue fraction = 15/30.
- 15/30 × 360° = 180°.
- Answer: 180°
In a survey: Red 6, Blue 6, Green 3, Yellow 10. In a pie chart, what angle does Yellow get?
- Total = 25.
- Yellow fraction = 10/25.
- 10/25 × 360° = 144°.
- Answer: 144°
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 Data Collection 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 Data Presentation, Averages, Measurement. 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 Data Collection?
- Move on to Number Sense, Algebra, Geometry, Measurement, which build directly on this idea.
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