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Lesson Plan – Lesson 4 Circumference

Learn how to calculate the circumference of a circle using the radius, diameter, and the mathematical constant Pi. Measure and estimate circle circumferences using tape measures.

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Lesson Plan – Lesson 4 Circumference

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  1. Lesson Plan – Lesson 4 Circumference

  2. LO To calculate the perimeter (circumference) of a circle. RAG Key Words : Radius, Diameter, Circumference, Pi 01/01/2020

  3. My target level is ________ Today we are learning I am starting the lesson on level _____________________ By the end of this lesson I want to be able to _____________________

  4. Starter Activity Mini white boards ready!!!!!!!! Round this numbers to 1 decimal place. 2.3567 2.4

  5. Starter Activity Mini white boards ready!!!!!!!! Round this numbers to 1 decimal place. 12.3519 12.4

  6. Starter Activity Mini white boards ready!!!!!!!! Round this numbers to 1 decimal place. 22.8915 22.9

  7. Starter Activity Mini white boards ready!!!!!!!! Round this numbers to 1 decimal place. 25.6781 25.7

  8. Starter Activity Mini white boards ready!!!!!!!! Round this numbers to 1 decimal place. 546.7899 546.8

  9. Starter Activity Mini white boards ready!!!!!!!! Round this number to 1 decimal place. 0.12572 0.1

  10. Starter Activity Mini white boards ready!!!!!!!! Round this numbers to 1 decimal place. 3.5689 3.6

  11. Starter Activity Mini white boards ready!!!!!!!! Round this numbers to 1 decimal places. 26.9999 27.0

  12. In your books sketch a circle and label the parts using the key words.

  13. People first realised that there is a connection between the radius of a circle and its the circumference when they realised that the longer the piece of string they used to tether their goats, the bigger the circular patch of grass they could eat.

  14. Eratosthenes was born 194 years BC, long before calculators, space ships and computers where invented and yet he was able to calculate the circumference of the Earth amazingly accurately.

  15. In today’s lesson your task is to investigate the relationship between the diameter of the circle and the circumference. In other words How many times bigger is the Circumference than the Diameter?

  16. You have 3 Minutes! • In your groups use the tape measures provided to measure:- a) the diameter b) the circumference of each tin and record the measurements in the table provided.

  17. To check the accuracy of your measurements we are going to collect the class results.

  18. To check the accuracy of your measurements we are going to collect the class results.

  19. To check the accuracy of your measurements we are going to collect the class results.

  20. Add the class results to these results that I collected earlier. As a group decide how to work out how many times bigger the circumference of each circle is than the diameter. As a group discuss what you notice about these results.

  21. The blue dot and the red dot are travelling at the same speed. How many times do you think the red dot will travel across the circle while the blue dot travels around the edge? Once across twice across three times across and a bit further! So the Circumference of the circle is a little bit more than 3x bigger than the diameter.

  22. The symbol is the Greek letter pi. It represents how many times bigger the circumference of any circle is than its diameter.

  23. The symbol represents 3.14159......... To one decimal place the Circumference of any circle is 3.14 times bigger than the diameter.

  24. Mini White Boards Ready .......

  25. Roughly how big is the Circumference of this circle ? 6cm How can we be more accurate?

  26. Roughly how big is the Circumference of this circle ? 5cm How can we be more accurate?

  27. Roughly how big is the Circumference of this circle ? 1000cm How can we be more accurate?

  28. Roughly how big is the Circumference of this circle ? 20cm How can we be more accurate?

  29. If the Circumference is 36m roughly how big is the diameter ? ? How can we be more accurate?

  30. In your groups find the circumferences of the circles and put the letters in the corresponding answer box. 3 j: e: w: n: o: a: m: i: 1 5 8 4 11 10 9

  31. Success Criteria – Learning Outcomes I measured accurately using a tape measure (Level 3). I roughly estimated the circumference of circles by multiplying the diameters by 3 (Level 4). I estimated the circumference of circles by multiplying the diameter by Pi (Level 5). I calculated the radius, diameter or circumference of circles and semi circles using one of the other measurements (Level 6).

  32. Plenary – Probing Questions What is the minimum information you need to be able to find the Circumference of this circle?

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