Essential Tools for Creating Math Problems: GeoGebra and Google SketchUp.

I’m writing some of my own POGIL (Process Oriented Guided Inquiry Learning) lessons for a seventh-grade math class.  For a worksheet on area and volume, I’ve found GeoGebra and Google SketchUp.

Here some samples I’ve created.

What is area of this triangle? Show your work.

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What is the volume of this cone?
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What is the circumference of this circle? What is the area of this circle?

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A pyramid has the indicated dimensions, what is the volume of this pyramid?

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Seven identical holes, with diameter 1 meter are drilled through a large piece of metal with dimensions shown. What is the volume of metal in the resulting shape?

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