Free Grade 3 Rules and Methods in Sampling in Context Common Errors: Worked Examples Lesson Plans
Free Grade 3 lesson plans for Rules and Methods in Sampling in Context Common Errors: Worked Examples: 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
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify rules and methods in sampling in context common errors: worked examples
Identify rules and methods in sampling in context common errors: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain rules and methods in sampling in context common errors: worked examples
Explain rules and methods in sampling in context common errors: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate rules and methods in sampling in context common errors: worked examples
Calculate rules and methods in sampling in context common errors: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare rules and methods in sampling in context common errors: worked examples
Compare rules and methods in sampling in context common errors: worked examples 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 Rules and Methods in Sampling in Context Common Errors: Worked Examples 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 13, Green 12, Yellow 4. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 15, Blue 6, Green 2, Yellow 5. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 11, Blue 7, Green 12, Yellow 9. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 10, Blue 4, Green 8, Yellow 12. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 14, Blue 9, Green 10, Yellow 3. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 8, Blue 8, Green 9, Yellow 4. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 7, Blue 3, Green 2, Yellow 12. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 6, Blue 11, Green 12, Yellow 14. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 10, Blue 3, Green 11, Yellow 12. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 10, Blue 3, Green 2, Yellow 4. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 4, Blue 6, Green 15, Yellow 15. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 14, Blue 6, Green 5, Yellow 5. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 43.6°
Total = 33. Yellow fraction = 4/33. 4/33 × 360° = 43.6°.
2. 192.9°
Total = 28. Red fraction = 15/28. 15/28 × 360° = 192.9°.
3. 101.5°
Total = 39. Red fraction = 11/39. 11/39 × 360° = 101.5°.
4. 105.9°
Total = 34. Red fraction = 10/34. 10/34 × 360° = 105.9°.
5. 30°
Total = 36. Yellow fraction = 3/36. 3/36 × 360° = 30°.
6. 49.7°
Total = 29. Yellow fraction = 4/29. 4/29 × 360° = 49.7°.
7. 180°
Total = 24. Yellow fraction = 12/24. 12/24 × 360° = 180°.
8. 50.2°
Total = 43. Red fraction = 6/43. 6/43 × 360° = 50.2°.
9. 100°
Total = 36. Red fraction = 10/36. 10/36 × 360° = 100°.
10. 37.9°
Total = 19. Green fraction = 2/19. 2/19 × 360° = 37.9°.
11. 54°
Total = 40. Blue fraction = 6/40. 6/40 × 360° = 54°.
12. 168°
Total = 30. Red fraction = 14/30. 14/30 × 360° = 168°.
Worked examples
In a survey: Red 9, Blue 5, Green 9, Yellow 12. In a pie chart, what angle does Red get?
- Total = 35.
- Red fraction = 9/35.
- 9/35 × 360° = 92.6°.
- Answer: 92.6°
In a survey: Red 10, Blue 10, Green 4, Yellow 2. In a pie chart, what angle does Yellow get?
- Total = 26.
- Yellow fraction = 2/26.
- 2/26 × 360° = 27.7°.
- Answer: 27.7°
In a survey: Red 14, Blue 11, Green 4, Yellow 7. In a pie chart, what angle does Blue get?
- Total = 36.
- Blue fraction = 11/36.
- 11/36 × 360° = 110°.
- Answer: 110°
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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