Sunday, April 4, 2010

Fun & Games - Geoboard Activity

Geoboard Activity

Use this virtual geoboard to explore geometric concepts of area and perimeter for quadrilaterals.  Hint: Use one elastic to create the quadrilateral and then click measure.

Click for Geoboard

How many quadrilaterals can you make with a perimeter of 16 units?
What happens to the area of these quadrilaterals?
What sort of quadrilateral maximizes area?
              Which ones provide the smallest area?

15 comments:

  1. the area getts bigger and smalller as u strech it. the SQUARE DOES. TRIANGLE.

    -JCJCJCJCJCJCCJCJCJ

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  2. You can make 5 quadrilaterals with a perimeter of 16, a 4x4 square, a 2x8 rectangle and a 1x16 rectangle.The same dimensions of the rectangles would also apply for parallelograms.
    The area fluxuates.A square minimizes area and a rectangle maximizes area.

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  3. the area gets smaller as you add more shapes but some shpaes may be skinny small big or fat. rectangles maximize the areas and squares seem to be the smallest.

    -catarina prata

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  4. i could only make 3 different quadrilaterals with the perimeter of 16 - a rectangle, spaure, and rhombus. when i tried to make a kite or trapezoid, i couldn't get exactly 16 perimeter but it was close.

    shannon

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  5. i could make various quadrilaterals, such as a square, a rectangle and a rhombus. However, the area of it gets smaller as you add more shapes. So the maximum quadrilaterals you can fit is 3. - rohan

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  6. the maximum amount of quadrilaterals i created was 3. iwas able to make a square and a rectangle.
    timothy john williams

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  7. The maximum quadrilaterals I made was three a square,rhombus,and a rectangle with the perimeter of sixteen.

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  8. *You can make 9 squares with an area of 16 units(I overlapped them until they filled the whole geo board).
    *The larger you make your quadrilateral, the larger the area of the figure it is, but the smaller you make your quadrilateral, the smaller the area of the shape.
    *The largest quardrilateral that I was able to construct on the geo board was a rectangle with an area of 110 sq. units and a perimiter of 42 units. The smallest quadrilateral I was able to construct was a square with an area of 1 sq. units and a perimeter of 4 units.
    -Rebeca Eller

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  9. I was able to make 3 different quadrilaterals with the perimeter of 16.... they were-- a square, rectangle, and a rhombus... Every time i tried to do more shapes...the perimeter increased in size and they couldnt fit into the geoboard... it was close though....

    -Steffani C

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  10. if you make it wide but with lots of corners it can have a big area with small perimeter i think
    Lauren c

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