Module One Lesson Four Notes

Polygons

Guided Notes

Please open and download your Guided Notes to complete as you work through the notes. Key terms and definitions are also located in the Lesson Overview.

Instruction

In this lesson, we will review how to find the area of rectangles, parallelograms, trapezoids, and triangles. We will use decomposing and composing strategies as well as our formulas. We will also look to find the area of a new shape! Let’s begin!

Area of Rectangles, Parallelograms, and Triangles Practice

Let's learn how to find the area of some shapes!

In the following videos, we will review how to find the area of rectangles, parallelograms, and triangles. Remember, we’ve discovered the formulas of the area of triangles and parallelograms by composing and decomposing to find the area of a rectangle. We will review this strategy as well as how to use our formulas. Let’s get started with the area of rectangles!

View the Area of Rectangles video in a new window if preferred.

Now learn how to find the area of triangles.

View the Area of Triangles video in a new window if preferred.

You Try Triangle

You try the following problems. When you are finished, check your work. Remember to show your work on your Guided Notes document.

Problem 1

Find the area of the following triangle by composing to form a rectangle.

a triangle with a base of 9 units and a height of 11 units

Check Triangle Problem 1

Triangle Problem 1 Solution

Triangle Problem 1 Solution Video direct link

Problem 2

Find the area of the following triangle by composing to form a rectangle.

a triangle with a base of 6 units and a height of 8 units

Check Triangle Problem 2

Triangle Problem 2 Solution

Triangle Problem 2 Solution Video direct link

Area of Trapezoids Practice

Let's find the area of trapezoids!

Let’s review how we can find the area of trapezoids. We did this in a previous lesson by decomposing the trapezoid into a rectangle and two triangles. Let’s practice this again in the following video.

View the Area of Trapezoids video in a new window if preferred.

You Try Trapezoid

You try the following problems. When you are finished, check your work. Remember to show your work on your Guided Notes document.

Problem

Find the area of the trapezoid by using the process of decomposing.

A trapezoid divided into a middle rectangle and two triangles on each side. The rectangle has a length of 10 units and height of 6 units. The triangle has a base of 2 units and a height of 6 units.

Check Trapezoid Problem

Trapezoid Problem Solution

Trapezoid Problem Solution Video direct link

Area of Kites

Let's find the area of kites!

A kite is a quadrilateral with two pairs of congruent adjacent sides. In this video, we will learn how to decompose a kite to find its area.

View the Area of Kites video in a new window if preferred.

You Try Kites

You try the following problems. When you are finished, check your work. Remember to show your work on your Guided Notes document.

Problem 1

Use the measurements on the image and what you learned about kites in this lesson to find the area of the kite.

diamond shape with two lines that intersect in the middle to form four triangles. Two triangles have bases of 2 units and heights of 7 units. The other two triangles have bases of 2 units and heights of 8 units

Check Kites Problem 1

Kites Problem 1 Solution

Kites Problem 1 Solution Video direct link

Problem 2

Use the measurements on the image and what you learned about kites in this lesson to find the area of the kite.

Kite. Intersecting diagonals. One diagonal segments 4 and 4 and other 2 and 3.

Check Kites Problem 2

Kites Problem 2 Solution

Kites Problem 2 Solution Video direct link

Lesson Review

Let's review our formulas for finding the area of some shapes! Watch the video to review the important concepts presented in Lesson Four.

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Citations

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