Free Grade 3 Working with Introducing Sampling Techniques: Worked Examples Lesson Plans
Free Grade 3 lesson plans for Working with Introducing Sampling Techniques: 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
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with introducing sampling techniques: worked examples
Identify working with introducing sampling techniques: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing sampling techniques: worked examples
Explain working with introducing sampling techniques: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling techniques: worked examples
Calculate working with introducing sampling techniques: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling techniques: worked examples
Compare working with introducing sampling techniques: 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 Working with Introducing Sampling Techniques: 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 10, Blue 5, Green 4, Yellow 15. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 8, Blue 10, Green 12, Yellow 14. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 12, Blue 7, Green 5, Yellow 12. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 8, Blue 11, Green 3, Yellow 2. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 10, Blue 2, Green 3, Yellow 7. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 12, Blue 10, Green 13, Yellow 14. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 11, Blue 4, Green 13, Yellow 14. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 5, Blue 7, Green 10, Yellow 15. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 14, Blue 11, Green 8, Yellow 15. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 13, Blue 12, Green 11, Yellow 6. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 5, Blue 9, Green 7, Yellow 4. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 13, Blue 13, Green 9, Yellow 12. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 52.9°
Total = 34. Blue fraction = 5/34. 5/34 × 360° = 52.9°.
2. 114.5°
Total = 44. Yellow fraction = 14/44. 14/44 × 360° = 114.5°.
3. 120°
Total = 36. Red fraction = 12/36. 12/36 × 360° = 120°.
4. 165°
Total = 24. Blue fraction = 11/24. 11/24 × 360° = 165°.
5. 49.1°
Total = 22. Green fraction = 3/22. 3/22 × 360° = 49.1°.
6. 88.2°
Total = 49. Red fraction = 12/49. 12/49 × 360° = 88.2°.
7. 34.3°
Total = 42. Blue fraction = 4/42. 4/42 × 360° = 34.3°.
8. 97.3°
Total = 37. Green fraction = 10/37. 10/37 × 360° = 97.3°.
9. 105°
Total = 48. Red fraction = 14/48. 14/48 × 360° = 105°.
10. 51.4°
Total = 42. Yellow fraction = 6/42. 6/42 × 360° = 51.4°.
11. 72°
Total = 25. Red fraction = 5/25. 5/25 × 360° = 72°.
12. 91.9°
Total = 47. Yellow fraction = 12/47. 12/47 × 360° = 91.9°.
Worked examples
In a survey: Red 9, Blue 15, Green 5, Yellow 14. In a pie chart, what angle does Blue get?
- Total = 43.
- Blue fraction = 15/43.
- 15/43 × 360° = 125.6°.
- Answer: 125.6°
In a survey: Red 5, Blue 12, Green 7, Yellow 13. In a pie chart, what angle does Green get?
- Total = 37.
- Green fraction = 7/37.
- 7/37 × 360° = 68.1°.
- Answer: 68.1°
In a survey: Red 3, Blue 6, Green 7, Yellow 2. In a pie chart, what angle does Green get?
- Total = 18.
- Green fraction = 7/18.
- 7/18 × 360° = 140°.
- Answer: 140°
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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- Start with Working with Introducing Sampling Techniques: Step-by-step Method, What is Working with Introducing Sampling Techniques, Rules and Methods in Introducing Sampling Techniques. Each one has its own free lesson, worksheet and quiz.
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