IM 6.1.6 Lesson: Area of Parallelograms

What do you want to download?

You can either download the .ggb file alone or the complete webpage for students with tasks.

I agree to the terms of GeoGebra's non-commercial license

• Offline Activity (.zip)

• GeoGebra Files

  1. How many dots are in the image? How do you see them? Show your reasoning. (.ggb)
     
  2. Calculate the area of the given figure in the applet. Then, check if your area calculation is correct by clicking the Show Area checkbox. (.ggb)
     
  3. Uncheck the Area checkbox. Move one of the vertices of the parallelogram to create a new parallelogram. When you get a parallelogram you like, sketch it and calculate the area. Then, check if (.ggb)
     
  4. Repeat this process two more times. Draw and label each parallelogram with its measurements and the area you calculated. (.ggb)
     
  5. Here is Parallelogram B. What is the corresponding height for the base that is 10 cm long? Show your reasoning. (.ggb)
     
  6. Here are two different parallelograms with the same area. (.ggb)
     
  7. Drag points to create two new parallelograms that are not identical copies of each other but that have the same area as each other. Sketch your parallelograms and explain or show how you know (.ggb)
     
  8. Here is a parallelogram composed of smaller parallelograms. The shaded region is composed of four identical parallelograms. All lengths are in inches. (.ggb)