Free Grade 3 Working with Introducing Sampling Techniques: Visual Models Lesson Plans
Free Grade 3 lesson plans for Working with Introducing Sampling Techniques: Visual Models: 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
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with introducing sampling techniques: visual models
Explain working with introducing sampling techniques: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling techniques: visual models
Calculate working with introducing sampling techniques: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling techniques: visual models
Compare working with introducing sampling techniques: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing sampling techniques: visual models
Justify working with introducing sampling techniques: visual models 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: Visual Models 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 13, Blue 11, Green 6, Yellow 13. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 7, Blue 5, Green 12, Yellow 12. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 13, Blue 6, Green 15, Yellow 14. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 3, Blue 10, Green 14, Yellow 15. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 11, Blue 2, Green 12, Yellow 5. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 2, Blue 8, Green 11, Yellow 2. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 14, Blue 9, Green 5, Yellow 11. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 14, Blue 15, Green 13, Yellow 11. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 4, Blue 9, Green 15, Yellow 14. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 5, Blue 2, Green 7, Yellow 2. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 14, Blue 12, Green 15, Yellow 6. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 10, Blue 4, Green 3, Yellow 5. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 92.1°
Total = 43. Blue fraction = 11/43. 11/43 × 360° = 92.1°.
2. 120°
Total = 36. Yellow fraction = 12/36. 12/36 × 360° = 120°.
3. 45°
Total = 48. Blue fraction = 6/48. 6/48 × 360° = 45°.
4. 25.7°
Total = 42. Red fraction = 3/42. 3/42 × 360° = 25.7°.
5. 60°
Total = 30. Yellow fraction = 5/30. 5/30 × 360° = 60°.
6. 172.2°
Total = 23. Green fraction = 11/23. 11/23 × 360° = 172.2°.
7. 129.2°
Total = 39. Red fraction = 14/39. 14/39 × 360° = 129.2°.
8. 74.7°
Total = 53. Yellow fraction = 11/53. 11/53 × 360° = 74.7°.
9. 34.3°
Total = 42. Red fraction = 4/42. 4/42 × 360° = 34.3°.
10. 45°
Total = 16. Yellow fraction = 2/16. 2/16 × 360° = 45°.
11. 91.9°
Total = 47. Blue fraction = 12/47. 12/47 × 360° = 91.9°.
12. 65.5°
Total = 22. Blue fraction = 4/22. 4/22 × 360° = 65.5°.
Worked examples
In a survey: Red 2, Blue 2, Green 3, Yellow 15. In a pie chart, what angle does Green get?
- Total = 22.
- Green fraction = 3/22.
- 3/22 × 360° = 49.1°.
- Answer: 49.1°
In a survey: Red 12, Blue 10, Green 11, Yellow 5. In a pie chart, what angle does Red get?
- Total = 38.
- Red fraction = 12/38.
- 12/38 × 360° = 113.7°.
- Answer: 113.7°
In a survey: Red 12, Blue 9, Green 12, Yellow 14. In a pie chart, what angle does Red get?
- Total = 47.
- Red fraction = 12/47.
- 12/47 × 360° = 91.9°.
- Answer: 91.9°
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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