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The Circle

The Circle. Main Parts of a Circle. Formula for Circumference. Starter Questions . Level 2. 7cm. www.mathsrevision.com. Main part of a Circle. Learning Intention We are learning t o identify the main parts of a circle. Success Criteria Understand the terms

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The Circle

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  1. The Circle Main Parts of a Circle Formula for Circumference Created by Mr Lafferty

  2. Starter Questions Level 2 7cm www.mathsrevision.com Created by Mr Lafferty

  3. Main part of a Circle Learning Intention We are learning to identify the main parts of a circle. • Success Criteria • Understand the terms • circumference, diameter and radius. • 2. Identify them on a circle. • 3. Calculate the circumference using formula. Created by Mr Lafferty

  4. radius Diameter Circumference Main part of a Circle Main parts of the circle O Created by Mr Lafferty

  5. Main part of a Circle 2cm 10cm Created by Mr Lafferty

  6. Main part of a Circle Your turn Exercise 1 Chapter 19 Page 228 Created by Mr Lafferty

  7. Starter Questions Level 2 5cm www.mathsrevision.com Created by Mr Lafferty

  8. Stars In Your Eyes Level 2 “Today Matthew we are going to be” Archimedes of Syracuse www.mathsrevision.com Created by Mr Lafferty

  9. History of Circles 75 years old Level 2 The Greek mathematician Archimedes of Syracuse (287- 212 BC) who flourished in Sicily is generally considered to be the greatest mathematician of ancient times. He is credited with determining the relationship between the diameter and the circumference of a circle. This was first recorded by Archimedes in the book Measurement of a Circle (225 BC). In this investigation we are going to attempt to follow Archimedes steps and arrive at the equation for determining the circumference for any given circle. www.mathsrevision.com 22931 years old Created by Mr Lafferty

  10. The radius is measured from the centre of the circle to the edge. Circumference radius diameter The diameter is measured from one edge to the other passing through the centre of the circle. Parts of the Circle Level 2 O O = centre of circle www.mathsrevision.com Created by Mr Lafferty

  11. Circle Investigation Level 2 • Construct a table shown below to enable us • to record our results. www.mathsrevision.com Created by Mr Lafferty

  12. O Investigation of the Circle Level 2 Our Investigation To find a relationship between the diameter and circumference of a given circle. Question ? www.mathsrevision.com How can we measure the diameter and circumference Created by Mr Lafferty

  13. O Use a ruler Measuring the Diameter of a circle Level 2 O The diameter is the largest distance between one side of a circle to the other passing through the centre O. www.mathsrevision.com Created by Mr Lafferty

  14. O Flexible tape measure Take a tape measure and put it round the circle Read off the measurement Measuring the Circumference of a circle Level 2 www.mathsrevision.com Created by Mr Lafferty

  15. End point Starting point Measuring the Circumference of a circle Level 2 Roll along an even surface www.mathsrevision.com One complete rotation equals the length of the circumference Be careful to avoid slip! Created by Mr Lafferty

  16. Circle Investigation Level 2 www.mathsrevision.com Created by Mr Lafferty

  17. Circle Investigation Level 2 • Using your results write down, in your own words, • an approximate relationship between the • circumference and diameter for a given circle. “Circumference approximately equals three and bit diameters” Actual value is 3.14 which we write as  Pronounced “Pi” www.mathsrevision.com Created by Mr Lafferty

  18. Circle Investigation Level 2 Chapter 19 Exercise 2 Page 229 Q2 www.mathsrevision.com Created by Mr Lafferty

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