Free Grade 3 Working with Introducing Sampling Common Errors: Step-by-step Method Lesson Plans
Free Grade 3 lesson plans for Working with Introducing Sampling Common Errors: Step-by-step Method: 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
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with introducing sampling common errors: step-by-step method
Explain working with introducing sampling common errors: step-by-step method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling common errors: step-by-step method
Calculate working with introducing sampling common errors: step-by-step method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling common errors: step-by-step method
Compare working with introducing sampling common errors: step-by-step method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing sampling common errors: step-by-step method
Justify working with introducing sampling common errors: step-by-step method 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 Common Errors: Step-by-step Method 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 15, Blue 9, Green 14, Yellow 7. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 13, Blue 12, Green 7, Yellow 11. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 10, Blue 8, Green 15, Yellow 14. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 8, Blue 13, Green 5, Yellow 9. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 8, Blue 14, Green 2, Yellow 3. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 15, Blue 12, Green 8, Yellow 8. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 3, Blue 5, Green 14, Yellow 3. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 10, Blue 2, Green 2, Yellow 8. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 14, Blue 5, Green 14, Yellow 4. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 12, Blue 11, Green 10, Yellow 15. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 4, Blue 9, Green 12, Yellow 10. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 7, Blue 11, Green 6, Yellow 3. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 56°
Total = 45. Yellow fraction = 7/45. 7/45 × 360° = 56°.
2. 108.8°
Total = 43. Red fraction = 13/43. 13/43 × 360° = 108.8°.
3. 107.2°
Total = 47. Yellow fraction = 14/47. 14/47 × 360° = 107.2°.
4. 133.7°
Total = 35. Blue fraction = 13/35. 13/35 × 360° = 133.7°.
5. 26.7°
Total = 27. Green fraction = 2/27. 2/27 × 360° = 26.7°.
6. 100.5°
Total = 43. Blue fraction = 12/43. 12/43 × 360° = 100.5°.
7. 43.2°
Total = 25. Yellow fraction = 3/25. 3/25 × 360° = 43.2°.
8. 32.7°
Total = 22. Blue fraction = 2/22. 2/22 × 360° = 32.7°.
9. 136.2°
Total = 37. Red fraction = 14/37. 14/37 × 360° = 136.2°.
10. 112.5°
Total = 48. Yellow fraction = 15/48. 15/48 × 360° = 112.5°.
11. 41.1°
Total = 35. Red fraction = 4/35. 4/35 × 360° = 41.1°.
12. 93.3°
Total = 27. Red fraction = 7/27. 7/27 × 360° = 93.3°.
Worked examples
In a survey: Red 3, Blue 7, Green 13, Yellow 4. In a pie chart, what angle does Green get?
- Total = 27.
- Green fraction = 13/27.
- 13/27 × 360° = 173.3°.
- Answer: 173.3°
In a survey: Red 14, Blue 11, Green 2, Yellow 3. In a pie chart, what angle does Red get?
- Total = 30.
- Red fraction = 14/30.
- 14/30 × 360° = 168°.
- Answer: 168°
In a survey: Red 2, Blue 4, Green 8, Yellow 3. In a pie chart, what angle does Yellow get?
- Total = 17.
- Yellow fraction = 3/17.
- 3/17 × 360° = 63.5°.
- Answer: 63.5°
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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