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Geelong Cluster Launch 11 March 2014 Janine McIntosh janine@amsi.au

Geelong Cluster Launch 11 March 2014 Janine McIntosh janine@amsi.org.au Michael O ’ Connor moconnor@amsi.org.au. The Improving Mathematics Education in Schools (TIMES) Project The Versatile Circle A conversation about the properties of 2D shapes and 3D objects.

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Geelong Cluster Launch 11 March 2014 Janine McIntosh janine@amsi.au

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  1. Geelong Cluster Launch • 11 March 2014 • Janine McIntosh janine@amsi.org.au • Michael O’Connor moconnor@amsi.org.au

  2. The Improving Mathematics Education in Schools (TIMES) Project • The Versatile Circle • A conversation about the properties of 2D shapes and 3D objects With thanks to Peter Carmichael, Principal Project Officer - QCAR Mathematics, Nambour

  3. The Versatile Circle A conversation about the properties of some 2D shapes and 3D objects Begin with a piece of paper in the shape of a circle. What are its properties? How can we find the exact centre?

  4. The Versatile Circle semi circle A conversation about the properties of some 2D shapes and 3D objects

  5. The Versatile Circle quadrant A conversation about the properties of some 2D shapes and 3D objects

  6. The Versatile Circle mark a dot in the exact centre A conversation about the properties of some 2D shapes and 3D objects

  7. The Versatile Circle A conversation about the properties of some 2D shapes and 3D objects chord

  8. The Versatile Circle A conversation about the properties of some 2D shapes and 3D objects sector

  9. The Versatile Circle A conversation about the properties of some 2D shapes and 3D objects equilateral triangle

  10. The Versatile Circle right-angled triangle A conversation about the properties of some 2D shapes and 3D objects

  11. The Versatile Circle A conversation about the properties of some 2D shapes and 3D objects trapezium

  12. The Versatile Circle A conversation about the properties of some 2D shapes and 3D objects rhombus

  13. The Versatile Circle equilateral triangle A conversation about the properties of some 2D shapes and 3D objects

  14. The Versatile Circle A conversation about the properties of some 2D shapes and 3D objects triangular based pyramid tetrahedron

  15. The Versatile Circle an irregular pentagon A conversation about the properties of some 2D shapes and 3D objects

  16. The Versatile Circle hexagon A conversation about the properties of some 2D shapes and 3D objects

  17. The Versatile Circle A conversation about the properties of some 2D shapes and 3D objects truncated tetrahedron

  18. The Versatile Circle A conversation about the properties of some 2D shapes and 3D objects 1. create a trapezium but then fold back on crease 2. repeat with all corners

  19. The Versatile Circle A conversation about the properties of some 2D shapes and 3D objects a six pointed star

  20. The Versatile Circle A conversation about the properties of some 2D shapes and 3D objects Where is the maths? Take a few minutes to write down some of the mathematical properties The Versatile Circle will allow you to share with your students.

  21. G.A.N.A.G. • G = State the GOALS (or standards) intended for the lesson  • A = ACCESS prior knowledge that relates to lesson • N = Introduce NEW information or concepts • A = ANALYZE the new information or concepts • G = Restate the GOALS learned in the lesson

  22. We thought… We said… We wrote… We saw… We heard… We know… We drew… We said… We asked… We felt… We liked… We learnt… We didn’t like… We found out… We already knew… We remembered… We used equipment… We need to find out… It was interesting when… The tricky bit was… We didn’t know that… It was cool when… The important thing to remember is… A new word we learnt was… Our group worked well when… We discovered… Congratulations to… The strategy we used was… Where’s the Maths?

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