Free Grade 3 Working with Introducing Sampling Essentials: Visual Models Lessons
Free Grade 3 lessons for Working with Introducing Sampling Essentials: 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°.
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25 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
Explain working with introducing sampling essentials: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials: visual models
Calculate working with introducing sampling essentials: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials: visual models
Compare working with introducing sampling essentials: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing sampling essentials: visual models
Justify working with introducing sampling essentials: 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 Essentials: 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 12, Blue 13, Green 7, Yellow 6. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 13, Blue 10, Green 4, Yellow 11. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 3, Blue 12, Green 11, Yellow 12. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 8, Blue 8, Green 9, Yellow 5. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 12, Blue 7, Green 8, Yellow 8. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 12, Blue 9, Green 13, Yellow 8. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 9, Blue 6, Green 12, Yellow 2. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 8, Blue 12, Green 11, Yellow 2. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 8, Blue 5, Green 8, Yellow 8. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 5, Blue 2, Green 9, Yellow 10. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 2, Blue 7, Green 15, Yellow 3. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 3, Blue 9, Green 10, Yellow 11. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 113.7°
Total = 38. Red fraction = 12/38. 12/38 × 360° = 113.7°.
2. 104.2°
Total = 38. Yellow fraction = 11/38. 11/38 × 360° = 104.2°.
3. 104.2°
Total = 38. Green fraction = 11/38. 11/38 × 360° = 104.2°.
4. 60°
Total = 30. Yellow fraction = 5/30. 5/30 × 360° = 60°.
5. 123.4°
Total = 35. Red fraction = 12/35. 12/35 × 360° = 123.4°.
6. 111.4°
Total = 42. Green fraction = 13/42. 13/42 × 360° = 111.4°.
7. 149°
Total = 29. Green fraction = 12/29. 12/29 × 360° = 149°.
8. 21.8°
Total = 33. Yellow fraction = 2/33. 2/33 × 360° = 21.8°.
9. 99.3°
Total = 29. Red fraction = 8/29. 8/29 × 360° = 99.3°.
10. 27.7°
Total = 26. Blue fraction = 2/26. 2/26 × 360° = 27.7°.
11. 200°
Total = 27. Green fraction = 15/27. 15/27 × 360° = 200°.
12. 109.1°
Total = 33. Green fraction = 10/33. 10/33 × 360° = 109.1°.
Worked examples
In a survey: Red 9, Blue 6, Green 13, Yellow 12. In a pie chart, what angle does Green get?
- Total = 40.
- Green fraction = 13/40.
- 13/40 × 360° = 117°.
- Answer: 117°
In a survey: Red 5, Blue 5, Green 3, Yellow 4. In a pie chart, what angle does Yellow get?
- Total = 17.
- Yellow fraction = 4/17.
- 4/17 × 360° = 84.7°.
- Answer: 84.7°
In a survey: Red 5, Blue 8, Green 4, Yellow 15. In a pie chart, what angle does Blue get?
- Total = 32.
- Blue fraction = 8/32.
- 8/32 × 360° = 90°.
- Answer: 90°
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: Worked Examples, Working with Introducing Sampling Essentials: Step-by-step Method, Rules and Methods in Introducing Sampling Essentials. Each one has its own free lesson, worksheet and quiz.
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