Free Grade 3 Working with Introducing Sampling Techniques: Visual Models — Recognition Lessons
Free Grade 3 lessons for Working with Introducing Sampling Techniques: Visual Models — Recognition: 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
Stretch
25 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 — recognition
Explain working with introducing sampling techniques: visual models — recognition accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling techniques: visual models — recognition
Calculate working with introducing sampling techniques: visual models — recognition accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling techniques: visual models — recognition
Compare working with introducing sampling techniques: visual models — recognition accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing sampling techniques: visual models — recognition
Justify working with introducing sampling techniques: visual models — recognition 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 — Recognition 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 4, Green 10, Yellow 9. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 6, Blue 15, Green 8, Yellow 4. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 3, Blue 13, Green 3, Yellow 5. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 14, Blue 8, Green 3, Yellow 2. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 11, Blue 13, Green 10, Yellow 11. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 5, Blue 11, Green 5, Yellow 11. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 10, Blue 2, Green 7, Yellow 2. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 6, Blue 4, Green 7, Yellow 9. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 3, Blue 5, Green 12, Yellow 6. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 3, Blue 10, Green 4, Yellow 5. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 6, Blue 13, Green 15, Yellow 5. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 7, Blue 5, Green 12, Yellow 10. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 53.3°
Total = 27. Red fraction = 4/27. 4/27 × 360° = 53.3°.
2. 87.3°
Total = 33. Green fraction = 8/33. 8/33 × 360° = 87.3°.
3. 45°
Total = 24. Green fraction = 3/24. 3/24 × 360° = 45°.
4. 40°
Total = 27. Green fraction = 3/27. 3/27 × 360° = 40°.
5. 104°
Total = 45. Blue fraction = 13/45. 13/45 × 360° = 104°.
6. 56.3°
Total = 32. Green fraction = 5/32. 5/32 × 360° = 56.3°.
7. 34.3°
Total = 21. Yellow fraction = 2/21. 2/21 × 360° = 34.3°.
8. 83.1°
Total = 26. Red fraction = 6/26. 6/26 × 360° = 83.1°.
9. 41.5°
Total = 26. Red fraction = 3/26. 3/26 × 360° = 41.5°.
10. 65.5°
Total = 22. Green fraction = 4/22. 4/22 × 360° = 65.5°.
11. 120°
Total = 39. Blue fraction = 13/39. 13/39 × 360° = 120°.
12. 105.9°
Total = 34. Yellow fraction = 10/34. 10/34 × 360° = 105.9°.
Worked examples
In a survey: Red 6, Blue 8, Green 7, Yellow 15. In a pie chart, what angle does Blue get?
- Total = 36.
- Blue fraction = 8/36.
- 8/36 × 360° = 80°.
- Answer: 80°
In a survey: Red 2, Blue 10, Green 5, Yellow 14. In a pie chart, what angle does Blue get?
- Total = 31.
- Blue fraction = 10/31.
- 10/31 × 360° = 116.1°.
- Answer: 116.1°
In a survey: Red 5, Blue 14, Green 8, Yellow 8. In a pie chart, what angle does Green get?
- Total = 35.
- Green fraction = 8/35.
- 8/35 × 360° = 82.3°.
- Answer: 82.3°
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: Worked Examples. Each one has its own free lesson, worksheet and quiz.
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