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Maths over Sunday Brunch Sunday 1st August 2010 O’Loughlin Catholic College

Mathematics Teachers’ Association of the Northern Territory. Maths over Sunday Brunch Sunday 1st August 2010 O’Loughlin Catholic College. Exploring some mathematical ideas Matt Skoss & Jeanette Venhoek matt@skoss.org & jvenhoek@gmail.com. Mathematicians ask two ‘big questions’.

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Maths over Sunday Brunch Sunday 1st August 2010 O’Loughlin Catholic College

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  1. Mathematics Teachers’ Association of the Northern Territory Maths over Sunday BrunchSunday 1st August 2010O’Loughlin Catholic College • Exploring some mathematical ideas • Matt Skoss & Jeanette Venhoek • matt@skoss.org & jvenhoek@gmail.com

  2. Mathematicians ask two ‘big questions’... • How many ways are there of ... • How do I know I’ve found them all?

  3. Consider 1, 2, 3 & 4 cubes... • How many distinct arrangements are there? • Can you make all arrangements with Multi-Link cubes?

  4. Can we sort our arrangements? • Convex shapes • Non-convex shapes Convex shape: A line can be drawn between any two points and not go outside the shape. Non-convex shape: A line can be drawn so that it does go outside the shape.

  5. Convex v non-convex

  6. Hmmm...How many cubes in all the non-convex shapes made with 1, 2, 3 or 4 cubes? Six are made with 4 cubes and one is made with 3 cubes. Is that significant?

  7. Hmmm...How many cubes in all the non-convex shapes made with 1, 2, 3 or 4 cubes?

  8. Hmmm...How many cubes in all the non-convex shapes made with 1, 2, 3 or 4 cubes? Six are made with 4 cubes and one is made with 3 cubes. Is that significant? Piet Hein (a Danish mathematician) thought so in 1936 and invented the ...

  9. Soma Cube

  10. Using an IWB...or bluetooth mouse/keyboard/slate/iPod Touch • NLVM’s Space Blocks: http://nlvm.usu.edu/en/nav/frames_asid_195_g_3_t_3.html?open=activities&from=category_g_3_t_3.html • Virtual isometric drawing: http://www.teacherled.com/resources/isodraw/isoshapeload.html and http://www.teacherled.com/resources/isodotty/isodottyload.html • RekenWeb’s Cube Builder: http://www.fi.uu.nl/toepassingen/00338/toepassing_rekenweb.xml?style=rekenweb&language=en&use=game

  11. More Soma Cube challenges

  12. Other tasks to extend the Soma Cube... • Try to do it blindfolded • Do it within a certain time...A minute to win it! • Make other shapes • Using isometric paper or interactive web applets to draw the Soma Cube pieces

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