Free Grade 3 Tangent Graph Lesson Plans
Free Grade 3 lesson plans for 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
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain tangent graph
Explain tangent graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate tangent graph
Calculate tangent graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare tangent graph
Compare tangent graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify tangent graph
Justify 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 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 13, Blue 12, Green 6, Yellow 11. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 15, Blue 14, Green 14, Yellow 11. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 3, Blue 12, Green 15, Yellow 8. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 8, Blue 13, Green 8, Yellow 5. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 14, Blue 12, Green 13, Yellow 2. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 12, Blue 13, Green 13, Yellow 2. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 3, Blue 3, Green 12, Yellow 3. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 9, Blue 10, Green 9, Yellow 6. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 8, Blue 2, Green 9, Yellow 13. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 10, Blue 2, Green 7, Yellow 14. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 14, Blue 5, Green 9, Yellow 11. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 3, Blue 11, Green 5, Yellow 3. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 102.9°
Total = 42. Blue fraction = 12/42. 12/42 × 360° = 102.9°.
2. 93.3°
Total = 54. Blue fraction = 14/54. 14/54 × 360° = 93.3°.
3. 28.4°
Total = 38. Red fraction = 3/38. 3/38 × 360° = 28.4°.
4. 52.9°
Total = 34. Yellow fraction = 5/34. 5/34 × 360° = 52.9°.
5. 17.6°
Total = 41. Yellow fraction = 2/41. 2/41 × 360° = 17.6°.
6. 117°
Total = 40. Green fraction = 13/40. 13/40 × 360° = 117°.
7. 205.7°
Total = 21. Green fraction = 12/21. 12/21 × 360° = 205.7°.
8. 63.5°
Total = 34. Yellow fraction = 6/34. 6/34 × 360° = 63.5°.
9. 146.3°
Total = 32. Yellow fraction = 13/32. 13/32 × 360° = 146.3°.
10. 76.4°
Total = 33. Green fraction = 7/33. 7/33 × 360° = 76.4°.
11. 101.5°
Total = 39. Yellow fraction = 11/39. 11/39 × 360° = 101.5°.
12. 49.1°
Total = 22. Yellow fraction = 3/22. 3/22 × 360° = 49.1°.
Worked examples
In a survey: Red 2, Blue 7, Green 5, Yellow 15. In a pie chart, what angle does Red get?
- Total = 29.
- Red fraction = 2/29.
- 2/29 × 360° = 24.8°.
- Answer: 24.8°
In a survey: Red 3, Blue 8, Green 13, Yellow 5. In a pie chart, what angle does Red get?
- Total = 29.
- Red fraction = 3/29.
- 3/29 × 360° = 37.2°.
- Answer: 37.2°
In a survey: Red 8, Blue 5, Green 4, Yellow 7. In a pie chart, what angle does Green get?
- Total = 24.
- Green fraction = 4/24.
- 4/24 × 360° = 60°.
- Answer: 60°
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 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 Cosine Graph, Sine Graph, Non-right-angled Trigonometry. 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 Tangent Graph?
- Move on to Trigonometric Identities, Right-angled Trigonometry, Non-right-angled Trigonometry, which build directly on this idea.
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