Copy of IM 6.1.6 Lesson: Area of Parallelograms

How many dots are in the image? How do you see them? Can you find any shortcuts to finding the total?

Type what you did to find the total number of dots.

Create a parallelogram with a base of 10 and a height of 6. Calculate the area. Then, use the Show Area checkbox to see if you are correct. Notice that the slant height is NOT the same as th

Create a parallelogram that has a height of 7 and a base of 9. Calculate the area. Then, check if your calculation is correct by using the Show Area button. Also notice that the slant height is NOT the same as the height.

Here is Parallelogram B. What is the area of parallelogram B?

What is the area of parallelogram B?

If you know what the area of parallelogram B is, what is the corresponding height for the base that is 10 cm long? [i]Explain [/i]your reasoning here:

Here are two different parallelograms with the same area.

Explain why their areas are equal.

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 their areas are equal. Then, click on the Check button to see i