This document outlines a math lesson on finding the area of parallelograms. The lesson begins with naming different shapes and asking how to find the area of a rectangle. It then explains that the area of a parallelogram can be found by decomposing it into rectangles based on its base and height. Students work through examples calculating areas of various parallelograms. The lesson emphasizes that the area formula is the same for parallelograms and rectangles. It concludes by having students complete an exit ticket question on why the area formulas are the same.

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Monday
Problem Set Lesson 1
#1,2,4,6,7,9
Tuesday Problem Set Lesson 3 # 1,2,5,7
Wednesday Problem Set Lesson 4 # 3,5,6,7
Thursday Problem Set Lesson 5 # 2,3,4,5
Friday Problem Set Lesson 6 # 1 a­d

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MODULE 5 Area, Surface Area, and Volume
Problems
Topic A: Area of Triangles, Quadrilaterals, and
Polygons
Lesson 1: The Area of Parallelograms Through
Rectangle Facts
Student Outcomes
§ Students show the area formula for the region bounded by a parallelogram by composing it into rectangles.
They understand that the area of a parallelogram is the area of the region bounded by the parallelogram.

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Classwork
Opening Exercise
Name Each Shape
Right Triangle Parallelogram Acute Triangle
Rectangle Trapezoid

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How do we find the area of a rectangle?
How do we find the area of a parallelogram?

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7in
3in
3in
7in
3in
7in
So to find the area of a parallelogram.....

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Exercises
1. Find the area of each parallelogram below. Each figure is not drawn to scale.

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§ How could we construct a rectangle from this parallelogram?
§ Why can't we use the same method we used previously?

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§ Therefore, it does not matter how tilted a parallelogram is.
The formula to calculate the area will always be the same as
the area formula of a rectangle.

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1.75in
0.5in

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1 3/4in
1 1/4 in

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1in
1in

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Closing
Please take out your exit ticket for Lesson 1, close your
binder, and complete the exit ticket. This will be collected.
§ Why are the area formulas for rectangles and parallelograms the same?

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Closing
Please take out your exit ticket for Lesson 9, close your
binder, and complete the exit ticket. This will be collected.

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