Free Grade 3 Working with Introducing Sampling Essentials: Visual Models — Understanding Lesson Plans
Free Grade 3 lesson plans for Working with Introducing Sampling Essentials: 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
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with introducing sampling essentials: visual models — understanding
Identify working with introducing sampling essentials: visual models — understanding accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing sampling essentials: visual models — understanding
Explain working with introducing sampling essentials: visual models — understanding accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials: visual models — understanding
Calculate working with introducing sampling essentials: visual models — understanding accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials: visual models — understanding
Compare working with introducing sampling essentials: 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 Essentials: 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 7, Blue 15, Green 4, Yellow 13. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 6, Blue 15, Green 12, Yellow 12. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 4, Blue 14, Green 5, Yellow 12. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 4, Blue 4, Green 8, Yellow 2. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 9, Blue 12, Green 11, Yellow 2. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 3, Blue 9, Green 13, Yellow 15. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 8, Blue 8, Green 6, Yellow 10. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 2, Blue 8, Green 2, Yellow 8. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 10, Blue 8, Green 10, Yellow 5. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 7, Blue 3, Green 6, Yellow 3. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 3, Blue 14, Green 13, Yellow 9. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 8, Blue 8, Green 4, Yellow 11. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 120°
Total = 39. Yellow fraction = 13/39. 13/39 × 360° = 120°.
2. 120°
Total = 45. Blue fraction = 15/45. 15/45 × 360° = 120°.
3. 144°
Total = 35. Blue fraction = 14/35. 14/35 × 360° = 144°.
4. 80°
Total = 18. Blue fraction = 4/18. 4/18 × 360° = 80°.
5. 95.3°
Total = 34. Red fraction = 9/34. 9/34 × 360° = 95.3°.
6. 81°
Total = 40. Blue fraction = 9/40. 9/40 × 360° = 81°.
7. 67.5°
Total = 32. Green fraction = 6/32. 6/32 × 360° = 67.5°.
8. 36°
Total = 20. Red fraction = 2/20. 2/20 × 360° = 36°.
9. 109.1°
Total = 33. Green fraction = 10/33. 10/33 × 360° = 109.1°.
10. 132.6°
Total = 19. Red fraction = 7/19. 7/19 × 360° = 132.6°.
11. 83.1°
Total = 39. Yellow fraction = 9/39. 9/39 × 360° = 83.1°.
12. 92.9°
Total = 31. Blue fraction = 8/31. 8/31 × 360° = 92.9°.
Worked examples
In a survey: Red 10, Blue 15, Green 8, Yellow 7. In a pie chart, what angle does Blue get?
- Total = 40.
- Blue fraction = 15/40.
- 15/40 × 360° = 135°.
- Answer: 135°
In a survey: Red 6, Blue 15, Green 2, Yellow 10. In a pie chart, what angle does Green get?
- Total = 33.
- Green fraction = 2/33.
- 2/33 × 360° = 21.8°.
- Answer: 21.8°
In a survey: Red 4, Blue 4, Green 5, Yellow 5. In a pie chart, what angle does Green get?
- Total = 18.
- Green fraction = 5/18.
- 5/18 × 360° = 100°.
- Answer: 100°
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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