Free Grade 3 Working with Tangent Graph Lesson Plans
Free Grade 3 lesson plans for Working with Tangent Graph: 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
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with tangent graph
Explain working with tangent graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with tangent graph
Calculate working with tangent graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with tangent graph
Compare working with tangent graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with tangent graph
Justify working with tangent graph 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 Tangent Graph 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 10, Yellow 4. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 4, Blue 13, Green 13, Yellow 6. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 4, Blue 13, Green 10, Yellow 4. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 14, Blue 11, Green 12, Yellow 5. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 2, Blue 12, Green 12, Yellow 12. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 5, Blue 2, Green 5, Yellow 6. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 12, Blue 2, Green 2, Yellow 6. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 12, Blue 12, Green 6, Yellow 6. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 9, Blue 6, Green 12, Yellow 9. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 10, Blue 7, Green 7, Yellow 10. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 9, Blue 14, Green 2, Yellow 13. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 8, Blue 7, Green 10, Yellow 15. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 142.1°
Total = 38. Red fraction = 15/38. 15/38 × 360° = 142.1°.
2. 60°
Total = 36. Yellow fraction = 6/36. 6/36 × 360° = 60°.
3. 116.1°
Total = 31. Green fraction = 10/31. 10/31 × 360° = 116.1°.
4. 120°
Total = 42. Red fraction = 14/42. 14/42 × 360° = 120°.
5. 113.7°
Total = 38. Yellow fraction = 12/38. 12/38 × 360° = 113.7°.
6. 100°
Total = 18. Green fraction = 5/18. 5/18 × 360° = 100°.
7. 196.4°
Total = 22. Red fraction = 12/22. 12/22 × 360° = 196.4°.
8. 60°
Total = 36. Green fraction = 6/36. 6/36 × 360° = 60°.
9. 90°
Total = 36. Red fraction = 9/36. 9/36 × 360° = 90°.
10. 74.1°
Total = 34. Green fraction = 7/34. 7/34 × 360° = 74.1°.
11. 18.9°
Total = 38. Green fraction = 2/38. 2/38 × 360° = 18.9°.
12. 90°
Total = 40. Green fraction = 10/40. 10/40 × 360° = 90°.
Worked examples
In a survey: Red 15, Blue 5, Green 9, Yellow 13. In a pie chart, what angle does Blue get?
- Total = 42.
- Blue fraction = 5/42.
- 5/42 × 360° = 42.9°.
- Answer: 42.9°
In a survey: Red 4, Blue 15, Green 11, Yellow 6. In a pie chart, what angle does Red get?
- Total = 36.
- Red fraction = 4/36.
- 4/36 × 360° = 40°.
- Answer: 40°
In a survey: Red 3, Blue 9, Green 3, Yellow 10. In a pie chart, what angle does Blue get?
- Total = 25.
- Blue fraction = 9/25.
- 9/25 × 360° = 129.6°.
- Answer: 129.6°
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
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Working with Tangent Graph 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 Introducing Tangent Graph, Cosine Graph. 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 Tangent Graph?
- Move on to Tangent Graph in Context, Sine Graph, Cosine Graph, Trigonometric Identities, which build directly on this idea.
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