IM 6.1.4 Lesson: Parallelograms

Figures A, B, and C are [b]parallelograms[/b]. Figures D, E, and F are not parallelograms. Study the examples and non-examples.[br][br][img]data:image/png;base64,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[/img][br][br] What do you notice about the number of sides that a parallelogram has?[br]
What do you notice about opposite sides of a parallelogram?
What do you notice about opposite angles of a parallelogram?[br]
Find the area of this parallelogram on the left. Explain your reasoning.
Change the parallelogram by dragging the green points at its vertices. Then find its area and explain your reasoning.
If you used the polygons on the side, how were they helpful? If you did not, could you use one or more of the polygons to show another way to find the area of the parallelogram? Try to do so.
Find the area of each parallelogram. Show your reasoning.
Find the area of the parallelogram below. Explain your reasoning.

IM 6.1.5 Lesson: Bases and Heights of Parallelograms

Tyler was trying to find the area of this parallelogram. Move the slider to see how he did it.
Elena was also trying to find the height of this parallelogram. Move the slider to see how she did it.
How are the two strategies for finding the area of a parallelogram the same? How they are different?
Study the examples and non-examples of [b]bases[/b] and [b]heights[/b][color=#0c0300] of parallelograms.[br][/color][list][*]Examples: The dashed segments in these drawings represent the corresponding height for the given base.[/*][/list][br][center][img]data:image/png;base64,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[/img][/center][br][list][*]Non-examples: The dashed segments in these drawings do [i]not[/i] represent the corresponding height for the given 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[/img][/center]
Select [b]all [/b]the statements that are true about bases and heights in a parallelogram.
Five students labeled a base [i]b[/i] and a corresponding height [i]h[/i] for each of these parallelograms. [br][br][img]data:image/png;base64,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[/img][br][br]Which drawings are correctly labeled? Check all that apply:
For each item you selected above, explain how you know why the these setups you selected above are correct.
This parallelogram is made of solid line segments. Its height and supporting lines are dashed. Interact with this, and answer the questions that follow.
For each parallelogram here, use the SEGMENT tool to construct its base and height. Drag a label next to each segment to denote which is which for each.
For the parallelograms above, record these lengths in the table below. In the last row, write an expression (using b and h) for the area of any parallelogram.
What happens to the area of a parallelogram if the height doubles but the base is unchanged? If the height triples? If the height is 100 times the original?[br][br][i]Feel free to use the app below to help answer this question. [/i][br]
What happens to the area if both the base and the height double? Both triple? Both are 100 times their original lengths?[br][br][i]Feel free to use the app below to help answer this question. [/i][br]

IM 6.1.6 Lesson: Area of Parallelograms

How many dots are in the image?[br][br]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 [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
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.

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