Free Grade 3 Introducing Tangent Graph Lessons
Free Grade 3 lessons for Introducing 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
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing tangent graph
Explain introducing tangent graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing tangent graph
Calculate introducing tangent graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing tangent graph
Compare introducing tangent graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing tangent graph
Justify introducing 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 Introducing 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 9, Blue 2, Green 11, Yellow 4. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 7, Blue 10, Green 6, Yellow 8. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 11, Blue 10, Green 14, Yellow 11. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 4, Blue 9, Green 15, Yellow 13. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 7, Blue 11, Green 11, Yellow 2. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 9, Blue 8, Green 8, Yellow 13. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 11, Blue 5, Green 3, Yellow 3. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 15, Blue 15, Green 12, Yellow 6. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 3, Blue 10, Green 7, Yellow 9. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 14, Blue 8, Green 12, Yellow 3. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 4, Blue 6, Green 14, Yellow 15. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 4, Blue 13, Green 14, Yellow 13. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 27.7°
Total = 26. Blue fraction = 2/26. 2/26 × 360° = 27.7°.
2. 92.9°
Total = 31. Yellow fraction = 8/31. 8/31 × 360° = 92.9°.
3. 78.3°
Total = 46. Blue fraction = 10/46. 10/46 × 360° = 78.3°.
4. 79°
Total = 41. Blue fraction = 9/41. 9/41 × 360° = 79°.
5. 81.3°
Total = 31. Red fraction = 7/31. 7/31 × 360° = 81.3°.
6. 123.2°
Total = 38. Yellow fraction = 13/38. 13/38 × 360° = 123.2°.
7. 81.8°
Total = 22. Blue fraction = 5/22. 5/22 × 360° = 81.8°.
8. 90°
Total = 48. Green fraction = 12/48. 12/48 × 360° = 90°.
9. 124.1°
Total = 29. Blue fraction = 10/29. 10/29 × 360° = 124.1°.
10. 116.8°
Total = 37. Green fraction = 12/37. 12/37 × 360° = 116.8°.
11. 129.2°
Total = 39. Green fraction = 14/39. 14/39 × 360° = 129.2°.
12. 32.7°
Total = 44. Red fraction = 4/44. 4/44 × 360° = 32.7°.
Worked examples
In a survey: Red 10, Blue 3, Green 12, Yellow 4. In a pie chart, what angle does Yellow get?
- Total = 29.
- Yellow fraction = 4/29.
- 4/29 × 360° = 49.7°.
- Answer: 49.7°
In a survey: Red 12, Blue 14, Green 14, Yellow 13. In a pie chart, what angle does Blue get?
- Total = 53.
- Blue fraction = 14/53.
- 14/53 × 360° = 95.1°.
- Answer: 95.1°
In a survey: Red 13, Blue 9, Green 6, Yellow 3. In a pie chart, what angle does Blue get?
- Total = 31.
- Blue fraction = 9/31.
- 9/31 × 360° = 104.5°.
- Answer: 104.5°
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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Frequently asked
- Is this Grade 3 Introducing Tangent Graph lesson really free?
- Yes. Every lessons 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. Each one has its own free lesson, worksheet and quiz.
- How is the lesson 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 Introducing Tangent Graph?
- Move on to Working with Tangent Graph, Tangent Graph in Context, Sine Graph, Cosine Graph, which build directly on this idea.
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