Free Grade 3 Working with Introducing Sampling Techniques: Visual Models — Understanding Lesson Plans
Free Grade 3 lesson plans for Working with Introducing Sampling Techniques: Visual Models — Understanding: 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
Higher
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with introducing sampling techniques: visual models — understanding
Identify working with introducing sampling techniques: visual models — understanding accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing sampling techniques: visual models — understanding
Explain working with introducing sampling techniques: visual models — understanding accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling techniques: visual models — understanding
Calculate working with introducing sampling techniques: visual models — understanding accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling techniques: visual models — understanding
Compare working with introducing sampling techniques: visual models — understanding 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 — Understanding 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 9, Blue 14, Green 11, Yellow 5. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 7, Blue 2, Green 2, Yellow 12. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 15, Blue 5, Green 8, Yellow 6. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 8, Blue 12, Green 4, Yellow 8. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 10, Blue 11, Green 14, Yellow 12. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 14, Blue 12, Green 3, Yellow 10. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 8, Blue 14, Green 12, Yellow 5. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 8, Blue 13, Green 12, Yellow 13. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 11, Blue 7, Green 14, Yellow 14. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 4, Blue 13, Green 6, Yellow 9. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 10, Blue 2, Green 12, Yellow 3. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 13, Blue 14, Green 11, Yellow 8. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 46.2°
Total = 39. Yellow fraction = 5/39. 5/39 × 360° = 46.2°.
2. 31.3°
Total = 23. Blue fraction = 2/23. 2/23 × 360° = 31.3°.
3. 84.7°
Total = 34. Green fraction = 8/34. 8/34 × 360° = 84.7°.
4. 135°
Total = 32. Blue fraction = 12/32. 12/32 × 360° = 135°.
5. 91.9°
Total = 47. Yellow fraction = 12/47. 12/47 × 360° = 91.9°.
6. 92.3°
Total = 39. Yellow fraction = 10/39. 10/39 × 360° = 92.3°.
7. 46.2°
Total = 39. Yellow fraction = 5/39. 5/39 × 360° = 46.2°.
8. 101.7°
Total = 46. Blue fraction = 13/46. 13/46 × 360° = 101.7°.
9. 109.6°
Total = 46. Green fraction = 14/46. 14/46 × 360° = 109.6°.
10. 146.3°
Total = 32. Blue fraction = 13/32. 13/32 × 360° = 146.3°.
11. 133.3°
Total = 27. Red fraction = 10/27. 10/27 × 360° = 133.3°.
12. 101.7°
Total = 46. Red fraction = 13/46. 13/46 × 360° = 101.7°.
Worked examples
In a survey: Red 13, Blue 5, Green 9, Yellow 3. In a pie chart, what angle does Yellow get?
- Total = 30.
- Yellow fraction = 3/30.
- 3/30 × 360° = 36°.
- Answer: 36°
In a survey: Red 7, Blue 8, Green 13, Yellow 12. In a pie chart, what angle does Red get?
- Total = 40.
- Red fraction = 7/40.
- 7/40 × 360° = 63°.
- Answer: 63°
In a survey: Red 9, Blue 9, Green 4, Yellow 15. In a pie chart, what angle does Green get?
- Total = 37.
- Green fraction = 4/37.
- 4/37 × 360° = 38.9°.
- Answer: 38.9°
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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