IM 6.1.6 Lesson: Area of Parallelograms
How many dots are in the image? How do you see them?
Calculate the area of the given figure in the applet. Then, check if your area calculation is correct by clicking the Show Area checkbox.
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 your calculation is correct by using the Show Area button.
Repeat this process two more times. Draw and label each parallelogram with its measurements and the area you calculated.
Here is Parallelogram B. What is the corresponding height for the base that is 10 cm long? Show your reasoning.
You can also explain 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
Here is a parallelogram composed of smaller parallelograms. The shaded region is composed of four identical parallelograms. All lengths are in inches.
What is the area of the unshaded parallelogram in the middle? Explain or show your reasoning.