The Versatile Circle -...

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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

Transcript of The Versatile Circle -...

Page 1: The Versatile Circle - AMSIamsi.org.au/wp-content/uploads/sites/15/2014/04/The-Versatile-Circle.key1.pdf · The Versatile Circle!!!!! right-angled triangle!!!!! A conversation about

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

Page 2: The Versatile Circle - AMSIamsi.org.au/wp-content/uploads/sites/15/2014/04/The-Versatile-Circle.key1.pdf · The Versatile Circle!!!!! right-angled triangle!!!!! A conversation about

The Versatile Circle

Begin with a piece of paper in the

shape of a circle. !

What are its properties?

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How can we find the exact centre?

A conversation about the properties of some 2D shapes and 3D objects

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The Versatile Circle!

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semi circle !

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A conversation about the properties of some 2D shapes and 3D objects

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The Versatile Circle!

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quadrant !

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A conversation about the properties of some 2D shapes and 3D objects

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The Versatile Circle!

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mark a dot in the exact centre

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A conversation about the properties of some 2D shapes and 3D objects

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The Versatile Circle

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chord !

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A conversation about the properties of some 2D shapes and 3D objects

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The Versatile Circle!

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sector !

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A conversation about the properties of some 2D shapes and 3D objects

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The Versatile Circle!

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equilateral triangle

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A conversation about the properties of some 2D shapes and 3D objects

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The Versatile Circle!

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right-angled triangle

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A conversation about the properties of some 2D shapes and 3D objects

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The Versatile Circle!

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trapezium !

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A conversation about the properties of some 2D shapes and 3D objects

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The Versatile Circle!

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rhombus !

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A conversation about the properties of some 2D shapes and 3D objects

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The Versatile Circle!

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equilateral triangle

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A conversation about the properties of some 2D shapes and 3D objects

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The Versatile Circle

triangular based pyramid

A conversation about the properties of some 2D shapes and 3D objects

tetrahedron

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The Versatile Circle!

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an irregular pentagon

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A conversation about the properties of some 2D shapes and 3D objects

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The Versatile Circle!

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hexagon !

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A conversation about the properties of some 2D shapes and 3D objects

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The Versatile Circle!

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truncated tetrahedron

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A conversation about the properties of some 2D shapes and 3D objects

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The Versatile Circle

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1. create a trapezium but

then fold back on crease

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2. repeat with all corners

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A conversation about the properties of some 2D shapes and 3D objects

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The Versatile Circle!

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a six pointed star !

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A conversation about the properties of some 2D shapes and 3D objects

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The Versatile Circle

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Where is the maths?

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to write down some of the mathematical properties

The Versatile Circle will allow you to share with your

students. !

A conversation about the properties of some 2D shapes and 3D objects

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