Free Grade 3 Graphical Solutions in Context Common Errors Lesson Plans
Free Grade 3 lesson plans for Graphical Solutions in Context Common Errors: 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
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain graphical solutions in context common errors
Explain graphical solutions in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate graphical solutions in context common errors
Calculate graphical solutions in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare graphical solutions in context common errors
Compare graphical solutions in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify graphical solutions in context common errors
Justify graphical solutions in context common errors 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 Graphical Solutions in Context Common Errors 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 5, Yellow 3. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 9, Blue 9, Green 2, Yellow 5. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 2, Blue 10, Green 5, Yellow 6. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 11, Blue 15, Green 2, Yellow 14. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 3, Blue 7, Green 13, Yellow 13. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 13, Blue 3, Green 7, Yellow 3. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 9, Blue 14, Green 6, Yellow 9. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 11, Blue 13, Green 11, Yellow 13. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 6, Blue 14, Green 9, Yellow 15. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 4, Blue 11, Green 12, Yellow 13. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 8, Blue 2, Green 11, Yellow 9. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 9, Blue 8, Green 9, Yellow 15. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 56.3°
Total = 32. Green fraction = 5/32. 5/32 × 360° = 56.3°.
2. 129.6°
Total = 25. Red fraction = 9/25. 9/25 × 360° = 129.6°.
3. 31.3°
Total = 23. Red fraction = 2/23. 2/23 × 360° = 31.3°.
4. 120°
Total = 42. Yellow fraction = 14/42. 14/42 × 360° = 120°.
5. 130°
Total = 36. Yellow fraction = 13/36. 13/36 × 360° = 130°.
6. 41.5°
Total = 26. Yellow fraction = 3/26. 3/26 × 360° = 41.5°.
7. 56.8°
Total = 38. Green fraction = 6/38. 6/38 × 360° = 56.8°.
8. 82.5°
Total = 48. Red fraction = 11/48. 11/48 × 360° = 82.5°.
9. 73.6°
Total = 44. Green fraction = 9/44. 9/44 × 360° = 73.6°.
10. 108°
Total = 40. Green fraction = 12/40. 12/40 × 360° = 108°.
11. 24°
Total = 30. Blue fraction = 2/30. 2/30 × 360° = 24°.
12. 79°
Total = 41. Red fraction = 9/41. 9/41 × 360° = 79°.
Worked examples
In a survey: Red 7, Blue 6, Green 8, Yellow 8. In a pie chart, what angle does Yellow get?
- Total = 29.
- Yellow fraction = 8/29.
- 8/29 × 360° = 99.3°.
- Answer: 99.3°
In a survey: Red 11, Blue 14, Green 7, Yellow 14. In a pie chart, what angle does Red get?
- Total = 46.
- Red fraction = 11/46.
- 11/46 × 360° = 86.1°.
- Answer: 86.1°
In a survey: Red 3, Blue 13, Green 11, Yellow 9. In a pie chart, what angle does Yellow get?
- Total = 36.
- Yellow fraction = 9/36.
- 9/36 × 360° = 90°.
- Answer: 90°
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 Graphical Solutions in Context Common Errors 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 Graphical Solutions in Context Word Problems, Graphical Solutions in Context Techniques, Working with Graphical Solutions. 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 Graphical Solutions in Context Common Errors?
- Move on to Introducing Graphical Solutions, Working with Graphical Solutions, which build directly on this idea.
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