Free Grade 3 Working with Introducing Sampling Techniques Lesson Plans
Free Grade 3 lesson plans for Working with Introducing Sampling Techniques: 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
Core
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with introducing sampling techniques
Explain working with introducing sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling techniques
Calculate working with introducing sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling techniques
Compare working with introducing sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing sampling techniques
Justify working with introducing sampling techniques 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 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 12, Blue 3, Green 13, Yellow 2. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 13, Blue 11, Green 13, Yellow 9. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 8, Blue 2, Green 8, Yellow 10. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 7, Blue 13, Green 4, Yellow 11. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 5, Blue 9, Green 9, Yellow 14. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 11, Blue 6, Green 5, Yellow 11. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 12, Blue 9, Green 6, Yellow 3. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 7, Blue 10, Green 7, Yellow 3. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 15, Blue 14, Green 5, Yellow 2. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 6, Blue 3, Green 3, Yellow 13. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 5, Blue 7, Green 9, Yellow 14. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 2, Blue 12, Green 10, Yellow 14. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 24°
Total = 30. Yellow fraction = 2/30. 2/30 × 360° = 24°.
2. 70.4°
Total = 46. Yellow fraction = 9/46. 9/46 × 360° = 70.4°.
3. 25.7°
Total = 28. Blue fraction = 2/28. 2/28 × 360° = 25.7°.
4. 72°
Total = 35. Red fraction = 7/35. 7/35 × 360° = 72°.
5. 136.2°
Total = 37. Yellow fraction = 14/37. 14/37 × 360° = 136.2°.
6. 54.5°
Total = 33. Green fraction = 5/33. 5/33 × 360° = 54.5°.
7. 72°
Total = 30. Green fraction = 6/30. 6/30 × 360° = 72°.
8. 40°
Total = 27. Yellow fraction = 3/27. 3/27 × 360° = 40°.
9. 50°
Total = 36. Green fraction = 5/36. 5/36 × 360° = 50°.
10. 86.4°
Total = 25. Red fraction = 6/25. 6/25 × 360° = 86.4°.
11. 92.6°
Total = 35. Green fraction = 9/35. 9/35 × 360° = 92.6°.
12. 18.9°
Total = 38. Red fraction = 2/38. 2/38 × 360° = 18.9°.
Worked examples
In a survey: Red 4, Blue 13, Green 2, Yellow 14. In a pie chart, what angle does Red get?
- Total = 33.
- Red fraction = 4/33.
- 4/33 × 360° = 43.6°.
- Answer: 43.6°
In a survey: Red 2, Blue 6, Green 2, Yellow 3. In a pie chart, what angle does Blue get?
- Total = 13.
- Blue fraction = 6/13.
- 6/13 × 360° = 166.2°.
- Answer: 166.2°
In a survey: Red 8, Blue 6, Green 11, Yellow 6. In a pie chart, what angle does Yellow get?
- Total = 31.
- Yellow fraction = 6/31.
- 6/31 × 360° = 69.7°.
- Answer: 69.7°
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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Frequently asked
- Is this Grade 3 Working with Introducing Sampling Techniques lesson plan really free?
- Yes. Every lesson plans on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Rules and Methods in Introducing Sampling Techniques, Key Vocabulary of Introducing Sampling Techniques, Introducing Sampling Essentials. Each one has its own free lesson, worksheet and quiz.
- How is the lesson plan sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Working with Introducing Sampling Techniques?
- Move on to Introducing Sampling Techniques in Examinations, Introducing Sampling Essentials, Introducing Sampling Word Problems, Introducing Sampling Common Errors, which build directly on this idea.
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