Free Grade 3 Working with Sampling in Context Common Errors Lesson Plans
Free Grade 3 lesson plans for Working with Sampling in Context Common Errors: 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
Foundation
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with sampling in context common errors
Identify working with sampling in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with sampling in context common errors
Explain working with sampling in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with sampling in context common errors
Calculate working with sampling in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with sampling in context common errors
Compare working with sampling in context common errors 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 Sampling in Context Common Errors 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 2, Green 10, Yellow 10. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 15, Blue 7, Green 9, Yellow 3. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 5, Blue 7, Green 6, Yellow 14. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 15, Blue 13, Green 3, Yellow 5. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 6, Blue 12, Green 13, Yellow 11. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 13, Blue 9, Green 11, Yellow 6. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 4, Blue 10, Green 11, Yellow 6. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 7, Blue 4, Green 14, Yellow 10. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 12, Blue 14, Green 11, Yellow 9. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 15, Blue 2, Green 5, Yellow 10. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 9, Blue 5, Green 5, Yellow 10. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 12, Blue 15, Green 13, Yellow 11. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 27.7°
Total = 26. Blue fraction = 2/26. 2/26 × 360° = 27.7°.
2. 95.3°
Total = 34. Green fraction = 9/34. 9/34 × 360° = 95.3°.
3. 78.8°
Total = 32. Blue fraction = 7/32. 7/32 × 360° = 78.8°.
4. 50°
Total = 36. Yellow fraction = 5/36. 5/36 × 360° = 50°.
5. 111.4°
Total = 42. Green fraction = 13/42. 13/42 × 360° = 111.4°.
6. 83.1°
Total = 39. Blue fraction = 9/39. 9/39 × 360° = 83.1°.
7. 116.1°
Total = 31. Blue fraction = 10/31. 10/31 × 360° = 116.1°.
8. 102.9°
Total = 35. Yellow fraction = 10/35. 10/35 × 360° = 102.9°.
9. 93.9°
Total = 46. Red fraction = 12/46. 12/46 × 360° = 93.9°.
10. 56.3°
Total = 32. Green fraction = 5/32. 5/32 × 360° = 56.3°.
11. 62.1°
Total = 29. Blue fraction = 5/29. 5/29 × 360° = 62.1°.
12. 91.8°
Total = 51. Green fraction = 13/51. 13/51 × 360° = 91.8°.
Worked examples
In a survey: Red 5, Blue 13, Green 9, Yellow 13. In a pie chart, what angle does Blue get?
- Total = 40.
- Blue fraction = 13/40.
- 13/40 × 360° = 117°.
- Answer: 117°
In a survey: Red 12, Blue 9, Green 6, Yellow 7. In a pie chart, what angle does Red get?
- Total = 34.
- Red fraction = 12/34.
- 12/34 × 360° = 127.1°.
- Answer: 127.1°
In a survey: Red 7, Blue 2, Green 15, Yellow 3. In a pie chart, what angle does Red get?
- Total = 27.
- Red fraction = 7/27.
- 7/27 × 360° = 93.3°.
- Answer: 93.3°
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
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Frequently asked
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- What should a learner already know before this?
- Start with Rules and Methods in Sampling in Context Common Errors, Key Vocabulary of Sampling in Context Common Errors, Sampling in Context Word Problems. Each one has its own free lesson, worksheet and quiz.
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- 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 Sampling in Context Common Errors?
- Move on to Sampling in Context Common Errors in Examinations, Sampling in Context Essentials, Sampling in Context Techniques, Sampling in Context Word Problems, which build directly on this idea.
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