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Rolling Polygons

Rolling Polygons. A dynamic PowerPoint introduction to the “Rolling Polygons Investigation” created by Mrs A. Furniss. Polygons. Irregular Polygons (different side lengths). Regular Polygons (all side lengths and angles equal). A polygon is a 2D (flat) shape with many sides.

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Rolling Polygons

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  1. Rolling Polygons A dynamic PowerPoint introduction to the “Rolling Polygons Investigation” created by Mrs A. Furniss.

  2. Polygons Irregular Polygons (different side lengths) Regular Polygons (all side lengths and angles equal) A polygon is a 2D (flat) shape with many sides.

  3. An Introduction to Rolling Polygons Roll an equilateral triangle around a regular hexagon. How many rolls does it take to get the triangle back to its starting position? Answer = 6

  4. Now try rolling a square around a regular hexagon. How many rolls does it take to get the square back to its starting position? Keep going ; the dot needs to finish at the top! Answer = 12

  5. Recording Your Results • Try other combinations of polygons. • Write down your results using a table like the one below. • Can you find a link between the number of sides on the polygons you have used and the number of rolls it takes? • Write this down under the subheading of “Conclusion”

  6. Extension Task:Investigating The Loci of Rolling Polygons • A locus (plural : loci) is the path something travels • Sketch the locus of the dot as one regular polygon rolls around another. Here is an example: Investigate with other combinations of regular polygons. Try changing the position of the dot.

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