Post on 14-Mar-2020
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
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
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
The Versatile Circle!
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quadrant !
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A conversation about the properties of some 2D shapes and 3D objects
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
The Versatile Circle
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chord !
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A conversation about the properties of some 2D shapes and 3D objects
The Versatile Circle!
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sector !
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A conversation about the properties of some 2D shapes and 3D objects
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
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
The Versatile Circle!
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trapezium !
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A conversation about the properties of some 2D shapes and 3D objects
The Versatile Circle!
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rhombus !
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A conversation about the properties of some 2D shapes and 3D objects
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
The Versatile Circle
triangular based pyramid
A conversation about the properties of some 2D shapes and 3D objects
tetrahedron
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
The Versatile Circle!
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hexagon !
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A conversation about the properties of some 2D shapes and 3D objects
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
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
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
The Versatile Circle
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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. !
A conversation about the properties of some 2D shapes and 3D objects