Area of Parallelograms: IM 6.1.6
1. Lesson 6.1.6
1. IM 6.1.6 Lesson: Area of Parallelograms
2. Practice 6.1.6
1. IM 6.1.6 Practice: Area of Parallelograms

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Area of Parallelograms: IM 6.1.6

IM 6 – 8 Math, GeoGebra Classroom Activities, Jul 27, 2020

[url=https://im.kendallhunt.com/MS/teachers/1/1/6/preparation.html]“Area of Parallelograms”[/url] from IM Grade 6 by [url=https://www.geogebra.org/m/gus8ffvr]Open Up Resources[/url] and Illustrative Mathematics. Licensed under the [url=https://creativecommons.org/licenses/by/4.0/]Creative Commons Attribution 4.0 license[/url].

Lesson 6.1.6
1. IM 6.1.6 Lesson: Area of Parallelograms
Practice 6.1.6
1. IM 6.1.6 Practice: Area of Parallelograms

1.

Lesson 6.1.6

1. IM 6.1.6 Lesson: Area of Parallelograms

1.1.

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.

2.

Practice 6.1.6

1. IM 6.1.6 Practice: Area of Parallelograms

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Area of Parallelograms: IM 6.1.6

Table of Contents

1.

Lesson 6.1.6

1.1.

IM 6.1.6 Lesson: Area of Parallelograms

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.

Here are two different parallelograms with the same area.

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.

2.

Practice 6.1.6

2.1.

IM 6.1.6 Practice: Area of Parallelograms

Here are the areas of three parallelograms. Use them to find the missing length (labeled with a "?") on each parallelogram. A: 10 square units, B: 21 square units, C: 25 square units

The Dockland Building in Hamburg, Germany is shaped like a parallelogram.

Find the area of the shaded region. All measurements are in centimeters. Show your reasoning.

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