Free Grade 3 Working with Introducing Sampling Essentials: Visual Models — Mastery Lesson Plans
Free Grade 3 lesson plans for Working with Introducing Sampling Essentials: Visual Models — Mastery: 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 essentials: visual models — mastery
Explain working with introducing sampling essentials: visual models — mastery accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials: visual models — mastery
Calculate working with introducing sampling essentials: visual models — mastery accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials: visual models — mastery
Compare working with introducing sampling essentials: visual models — mastery accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing sampling essentials: visual models — mastery
Justify working with introducing sampling essentials: visual models — mastery 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 Essentials: Visual Models — Mastery 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 15, Green 14, Yellow 10. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 12, Blue 12, Green 10, Yellow 13. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 7, Blue 9, Green 12, Yellow 2. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 15, Blue 4, Green 3, Yellow 8. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 4, Blue 14, Green 2, Yellow 3. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 14, Blue 6, Green 11, Yellow 12. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 4, Blue 15, Green 13, Yellow 4. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 7, Blue 12, Green 13, Yellow 15. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 6, Blue 4, Green 9, Yellow 3. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 2, Blue 5, Green 10, Yellow 10. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 7, Blue 4, Green 2, Yellow 8. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 6, Blue 15, Green 14, Yellow 14. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 69.2°
Total = 52. Yellow fraction = 10/52. 10/52 × 360° = 69.2°.
2. 91.9°
Total = 47. Blue fraction = 12/47. 12/47 × 360° = 91.9°.
3. 144°
Total = 30. Green fraction = 12/30. 12/30 × 360° = 144°.
4. 36°
Total = 30. Green fraction = 3/30. 3/30 × 360° = 36°.
5. 31.3°
Total = 23. Green fraction = 2/23. 2/23 × 360° = 31.3°.
6. 117.2°
Total = 43. Red fraction = 14/43. 14/43 × 360° = 117.2°.
7. 150°
Total = 36. Blue fraction = 15/36. 15/36 × 360° = 150°.
8. 53.6°
Total = 47. Red fraction = 7/47. 7/47 × 360° = 53.6°.
9. 147.3°
Total = 22. Green fraction = 9/22. 9/22 × 360° = 147.3°.
10. 66.7°
Total = 27. Blue fraction = 5/27. 5/27 × 360° = 66.7°.
11. 68.6°
Total = 21. Blue fraction = 4/21. 4/21 × 360° = 68.6°.
12. 102.9°
Total = 49. Yellow fraction = 14/49. 14/49 × 360° = 102.9°.
Worked examples
In a survey: Red 5, Blue 7, Green 13, Yellow 4. In a pie chart, what angle does Yellow get?
- Total = 29.
- Yellow fraction = 4/29.
- 4/29 × 360° = 49.7°.
- Answer: 49.7°
In a survey: Red 5, Blue 11, Green 6, Yellow 10. In a pie chart, what angle does Red get?
- Total = 32.
- Red fraction = 5/32.
- 5/32 × 360° = 56.3°.
- Answer: 56.3°
In a survey: Red 3, Blue 3, Green 8, Yellow 3. In a pie chart, what angle does Blue get?
- Total = 17.
- Blue fraction = 3/17.
- 3/17 × 360° = 63.5°.
- Answer: 63.5°
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 Essentials: Visual Models — Reasoning, Working with Introducing Sampling Essentials: Visual Models — Application, Working with Introducing Sampling Essentials: Worked Examples. Each one has its own free lesson, worksheet and quiz.
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Related resources
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