Free Grade 3 Working with Introducing Sampling Techniques: Visual Models — Understanding Lessons
Free Grade 3 lessons 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
15 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 10, Blue 8, Green 14, Yellow 4. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 7, Blue 12, Green 15, Yellow 4. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 2, Blue 12, Green 13, Yellow 3. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 14, Blue 5, Green 9, Yellow 2. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 12, Blue 10, Green 13, Yellow 7. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 8, Blue 15, Green 4, Yellow 14. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 15, Blue 7, Green 3, Yellow 4. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 10, Blue 14, Green 6, Yellow 8. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 8, Blue 15, Green 4, Yellow 6. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 4, Blue 4, Green 10, Yellow 2. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 13, Blue 4, Green 10, Yellow 9. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 14, Blue 13, Green 15, Yellow 9. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 140°
Total = 36. Green fraction = 14/36. 14/36 × 360° = 140°.
2. 37.9°
Total = 38. Yellow fraction = 4/38. 4/38 × 360° = 37.9°.
3. 144°
Total = 30. Blue fraction = 12/30. 12/30 × 360° = 144°.
4. 60°
Total = 30. Blue fraction = 5/30. 5/30 × 360° = 60°.
5. 102.9°
Total = 42. Red fraction = 12/42. 12/42 × 360° = 102.9°.
6. 122.9°
Total = 41. Yellow fraction = 14/41. 14/41 × 360° = 122.9°.
7. 86.9°
Total = 29. Blue fraction = 7/29. 7/29 × 360° = 86.9°.
8. 75.8°
Total = 38. Yellow fraction = 8/38. 8/38 × 360° = 75.8°.
9. 65.5°
Total = 33. Yellow fraction = 6/33. 6/33 × 360° = 65.5°.
10. 72°
Total = 20. Blue fraction = 4/20. 4/20 × 360° = 72°.
11. 100°
Total = 36. Green fraction = 10/36. 10/36 × 360° = 100°.
12. 91.8°
Total = 51. Blue fraction = 13/51. 13/51 × 360° = 91.8°.
Worked examples
In a survey: Red 12, Blue 15, Green 15, Yellow 10. In a pie chart, what angle does Blue get?
- Total = 52.
- Blue fraction = 15/52.
- 15/52 × 360° = 103.8°.
- Answer: 103.8°
In a survey: Red 6, Blue 13, Green 2, Yellow 11. In a pie chart, what angle does Blue get?
- Total = 32.
- Blue fraction = 13/32.
- 13/32 × 360° = 146.3°.
- Answer: 146.3°
In a survey: Red 7, Blue 4, Green 3, Yellow 9. In a pie chart, what angle does Red get?
- Total = 23.
- Red fraction = 7/23.
- 7/23 × 360° = 109.6°.
- Answer: 109.6°
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: Visual Models — Recognition, Working with Introducing Sampling Techniques: Worked Examples. Each one has its own free lesson, worksheet and quiz.
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