Free Grade 3 Working with Introducing Sampling Essentials: Visual Models — Recognition Lesson Plans
Free Grade 3 lesson plans for Working with Introducing Sampling Essentials: 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
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 — recognition
Explain working with introducing sampling essentials: visual models — recognition accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials: visual models — recognition
Calculate working with introducing sampling essentials: visual models — recognition accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials: visual models — recognition
Compare working with introducing sampling essentials: visual models — recognition accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing sampling essentials: visual models — recognition
Justify working with introducing sampling essentials: 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 Essentials: 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 3, Blue 8, Green 6, Yellow 15. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 10, Blue 10, Green 12, Yellow 6. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 8, Blue 14, Green 14, Yellow 13. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 4, Blue 8, Green 2, Yellow 3. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 8, Blue 13, Green 9, Yellow 10. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 2, Blue 12, Green 15, Yellow 11. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 2, Blue 5, Green 3, Yellow 15. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 9, Blue 12, Green 13, Yellow 6. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 7, Blue 10, Green 5, Yellow 13. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 9, Blue 10, Green 9, Yellow 5. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 2, Blue 11, Green 11, Yellow 11. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 5, Blue 6, Green 10, Yellow 8. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 67.5°
Total = 32. Green fraction = 6/32. 6/32 × 360° = 67.5°.
2. 94.7°
Total = 38. Red fraction = 10/38. 10/38 × 360° = 94.7°.
3. 102.9°
Total = 49. Blue fraction = 14/49. 14/49 × 360° = 102.9°.
4. 169.4°
Total = 17. Blue fraction = 8/17. 8/17 × 360° = 169.4°.
5. 81°
Total = 40. Green fraction = 9/40. 9/40 × 360° = 81°.
6. 18°
Total = 40. Red fraction = 2/40. 2/40 × 360° = 18°.
7. 28.8°
Total = 25. Red fraction = 2/25. 2/25 × 360° = 28.8°.
8. 108°
Total = 40. Blue fraction = 12/40. 12/40 × 360° = 108°.
9. 51.4°
Total = 35. Green fraction = 5/35. 5/35 × 360° = 51.4°.
10. 109.1°
Total = 33. Blue fraction = 10/33. 10/33 × 360° = 109.1°.
11. 113.1°
Total = 35. Green fraction = 11/35. 11/35 × 360° = 113.1°.
12. 99.3°
Total = 29. Yellow fraction = 8/29. 8/29 × 360° = 99.3°.
Worked examples
In a survey: Red 11, Blue 6, Green 13, Yellow 7. In a pie chart, what angle does Yellow get?
- Total = 37.
- Yellow fraction = 7/37.
- 7/37 × 360° = 68.1°.
- Answer: 68.1°
In a survey: Red 5, Blue 7, Green 7, Yellow 9. In a pie chart, what angle does Red get?
- Total = 28.
- Red fraction = 5/28.
- 5/28 × 360° = 64.3°.
- Answer: 64.3°
In a survey: Red 4, Blue 8, Green 11, Yellow 14. In a pie chart, what angle does Yellow get?
- Total = 37.
- Yellow fraction = 14/37.
- 14/37 × 360° = 136.2°.
- Answer: 136.2°
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
How mastery is evidenced, and which standards it maps to.
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- Start with Working with Introducing Sampling Essentials: Worked Examples. Each one has its own free lesson, worksheet and quiz.
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