Free Grade 3 Introducing Cosine Graph Lesson Plans
Free Grade 3 lesson plans for Introducing Cosine 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
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing cosine graph
Explain introducing cosine graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing cosine graph
Calculate introducing cosine graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing cosine graph
Compare introducing cosine graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing cosine graph
Justify introducing cosine 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 Cosine 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 14, Green 15, Yellow 14. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 11, Blue 2, Green 13, Yellow 10. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 6, Blue 15, Green 3, Yellow 15. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 15, Blue 10, Green 5, Yellow 14. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 6, Blue 14, Green 15, Yellow 12. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 2, Blue 12, Green 9, Yellow 12. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 4, Blue 14, Green 6, Yellow 10. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 13, Blue 6, Green 8, Yellow 11. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 8, Blue 11, Green 6, Yellow 2. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 3, Blue 15, Green 9, Yellow 10. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 3, Blue 9, Green 12, Yellow 8. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 7, Blue 3, Green 4, Yellow 14. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 96.4°
Total = 56. Green fraction = 15/56. 15/56 × 360° = 96.4°.
2. 100°
Total = 36. Yellow fraction = 10/36. 10/36 × 360° = 100°.
3. 27.7°
Total = 39. Green fraction = 3/39. 3/39 × 360° = 27.7°.
4. 81.8°
Total = 44. Blue fraction = 10/44. 10/44 × 360° = 81.8°.
5. 107.2°
Total = 47. Blue fraction = 14/47. 14/47 × 360° = 107.2°.
6. 20.6°
Total = 35. Red fraction = 2/35. 2/35 × 360° = 20.6°.
7. 148.2°
Total = 34. Blue fraction = 14/34. 14/34 × 360° = 148.2°.
8. 123.2°
Total = 38. Red fraction = 13/38. 13/38 × 360° = 123.2°.
9. 26.7°
Total = 27. Yellow fraction = 2/27. 2/27 × 360° = 26.7°.
10. 145.9°
Total = 37. Blue fraction = 15/37. 15/37 × 360° = 145.9°.
11. 101.3°
Total = 32. Blue fraction = 9/32. 9/32 × 360° = 101.3°.
12. 51.4°
Total = 28. Green fraction = 4/28. 4/28 × 360° = 51.4°.
Worked examples
In a survey: Red 8, Blue 7, Green 12, Yellow 8. In a pie chart, what angle does Blue get?
- Total = 35.
- Blue fraction = 7/35.
- 7/35 × 360° = 72°.
- Answer: 72°
In a survey: Red 12, Blue 7, Green 12, Yellow 13. In a pie chart, what angle does Red get?
- Total = 44.
- Red fraction = 12/44.
- 12/44 × 360° = 98.2°.
- Answer: 98.2°
In a survey: Red 3, Blue 2, Green 13, Yellow 10. In a pie chart, what angle does Red get?
- Total = 28.
- Red fraction = 3/28.
- 3/28 × 360° = 38.6°.
- Answer: 38.6°
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 Introducing Cosine 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 Sine 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 Introducing Cosine Graph?
- Move on to Working with Cosine Graph, Cosine Graph in Context, Sine Graph, Tangent Graph, which build directly on this idea.
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