Free Grade 3 Working with Introducing Sampling Common Errors: Common Mistakes Lesson Plans
Free Grade 3 lesson plans for Working with Introducing Sampling Common Errors: Common Mistakes: 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
Core
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with introducing sampling common errors: common mistakes
Explain working with introducing sampling common errors: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling common errors: common mistakes
Calculate working with introducing sampling common errors: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling common errors: common mistakes
Compare working with introducing sampling common errors: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing sampling common errors: common mistakes
Justify working with introducing sampling common errors: common mistakes 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 Introducing Sampling Common Errors: Common Mistakes 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 11, Blue 7, Green 7, Yellow 14. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 13, Blue 15, Green 3, Yellow 9. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 3, Blue 8, Green 14, Yellow 11. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 8, Blue 4, Green 11, Yellow 14. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 10, Blue 2, Green 6, Yellow 7. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 9, Blue 9, Green 14, Yellow 2. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 10, Blue 14, Green 11, Yellow 11. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 15, Blue 2, Green 14, Yellow 10. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 9, Blue 2, Green 4, Yellow 3. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 12, Blue 14, Green 12, Yellow 7. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 2, Blue 5, Green 6, Yellow 10. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 13, Blue 11, Green 11, Yellow 12. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 64.6°
Total = 39. Blue fraction = 7/39. 7/39 × 360° = 64.6°.
2. 81°
Total = 40. Yellow fraction = 9/40. 9/40 × 360° = 81°.
3. 30°
Total = 36. Red fraction = 3/36. 3/36 × 360° = 30°.
4. 77.8°
Total = 37. Red fraction = 8/37. 8/37 × 360° = 77.8°.
5. 144°
Total = 25. Red fraction = 10/25. 10/25 × 360° = 144°.
6. 21.2°
Total = 34. Yellow fraction = 2/34. 2/34 × 360° = 21.2°.
7. 86.1°
Total = 46. Yellow fraction = 11/46. 11/46 × 360° = 86.1°.
8. 131.7°
Total = 41. Red fraction = 15/41. 15/41 × 360° = 131.7°.
9. 40°
Total = 18. Blue fraction = 2/18. 2/18 × 360° = 40°.
10. 56°
Total = 45. Yellow fraction = 7/45. 7/45 × 360° = 56°.
11. 78.3°
Total = 23. Blue fraction = 5/23. 5/23 × 360° = 78.3°.
12. 91.9°
Total = 47. Yellow fraction = 12/47. 12/47 × 360° = 91.9°.
Worked examples
In a survey: Red 2, Blue 12, Green 13, Yellow 3. In a pie chart, what angle does Yellow get?
- Total = 30.
- Yellow fraction = 3/30.
- 3/30 × 360° = 36°.
- Answer: 36°
In a survey: Red 2, Blue 8, Green 4, Yellow 9. In a pie chart, what angle does Red get?
- Total = 23.
- Red fraction = 2/23.
- 2/23 × 360° = 31.3°.
- Answer: 31.3°
In a survey: Red 15, Blue 15, Green 4, Yellow 5. In a pie chart, what angle does Yellow get?
- Total = 39.
- Yellow fraction = 5/39.
- 5/39 × 360° = 46.2°.
- Answer: 46.2°
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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