Free Grade 3 Working with Sampling in Context Common Errors: Step-by-step Method Lesson Plans
Free Grade 3 lesson plans for Working with Sampling in Context Common Errors: Step-by-step Method: 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°.
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20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with sampling in context common errors: step-by-step method
Explain working with sampling in context common errors: step-by-step method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with sampling in context common errors: step-by-step method
Calculate working with sampling in context common errors: step-by-step method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with sampling in context common errors: step-by-step method
Compare working with sampling in context common errors: step-by-step method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with sampling in context common errors: step-by-step method
Justify working with sampling in context common errors: step-by-step method 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: Step-by-step Method 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 2, Blue 10, Green 5, Yellow 15. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 7, Blue 14, Green 8, Yellow 9. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 8, Blue 8, Green 10, Yellow 9. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 5, Blue 13, Green 11, Yellow 8. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 4, Blue 6, Green 13, Yellow 13. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 13, Blue 4, Green 5, Yellow 6. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 7, Blue 10, Green 15, Yellow 9. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 11, Blue 6, Green 7, Yellow 8. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 14, Blue 5, Green 5, Yellow 2. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 15, Blue 8, Green 14, Yellow 3. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 2, Blue 15, Green 12, Yellow 5. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 4, Blue 8, Green 8, Yellow 2. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 168.8°
Total = 32. Yellow fraction = 15/32. 15/32 × 360° = 168.8°.
2. 85.3°
Total = 38. Yellow fraction = 9/38. 9/38 × 360° = 85.3°.
3. 102.9°
Total = 35. Green fraction = 10/35. 10/35 × 360° = 102.9°.
4. 126.5°
Total = 37. Blue fraction = 13/37. 13/37 × 360° = 126.5°.
5. 130°
Total = 36. Green fraction = 13/36. 13/36 × 360° = 130°.
6. 77.1°
Total = 28. Yellow fraction = 6/28. 6/28 × 360° = 77.1°.
7. 61.5°
Total = 41. Red fraction = 7/41. 7/41 × 360° = 61.5°.
8. 78.8°
Total = 32. Green fraction = 7/32. 7/32 × 360° = 78.8°.
9. 193.8°
Total = 26. Red fraction = 14/26. 14/26 × 360° = 193.8°.
10. 135°
Total = 40. Red fraction = 15/40. 15/40 × 360° = 135°.
11. 21.2°
Total = 34. Red fraction = 2/34. 2/34 × 360° = 21.2°.
12. 130.9°
Total = 22. Green fraction = 8/22. 8/22 × 360° = 130.9°.
Worked examples
In a survey: Red 9, Blue 10, Green 4, Yellow 15. In a pie chart, what angle does Green get?
- Total = 38.
- Green fraction = 4/38.
- 4/38 × 360° = 37.9°.
- Answer: 37.9°
In a survey: Red 13, Blue 15, Green 9, Yellow 2. In a pie chart, what angle does Red get?
- Total = 39.
- Red fraction = 13/39.
- 13/39 × 360° = 120°.
- Answer: 120°
In a survey: Red 8, Blue 8, Green 3, Yellow 13. In a pie chart, what angle does Green get?
- Total = 32.
- Green fraction = 3/32.
- 3/32 × 360° = 33.8°.
- Answer: 33.8°
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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