1. Lesson 1: The Area ofParallelograms Through Rectangle Facts
Date: 5/11/15 S.1
1
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NYS COMMON CORE MATHEMATICS CURRICULUM 6•5Lesson 1
Lesson 1: The Area of Parallelograms Through Rectangle Facts
Classwork
OpeningExercise
Name each shape.
Exercises
1. Find the area of each parallelogrambelow. Each figure is notdrawn to scale.
a.
b.
c.
5 cm
6 cm
4 cm
10 m
25 m
8 m
7 ft.
11.5 ft.
12 ft.

2. Lesson 1: The Area ofParallelograms Through Rectangle Facts
Date: 5/11/15 S.2
2
© 2014 Common Core, Inc. Some rightsreserved. commoncore.org
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM 6•5Lesson 1
2. Draw and label the height of each parallelogram. Use the correct mathematical tool to measure the baseand the
height in inches,and calculatethe area of each parallelogram.
a.
b.
c.
3. If the area of a parallelogram is
35
42
cm2 and the height is
1
7
cm, write an equation that relates the height, base, and
area of the parallelogram. Solvethe equation.
base
base
base

3. Lesson 1: The Area ofParallelograms Through Rectangle Facts
Date: 5/11/15 S.3
3
© 2014 Common Core, Inc. Some rightsreserved. commoncore.org
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM 6•5Lesson 1
Problem Set
Draw and label the height for each parallelogram.
1.
2.
Calculatethe area of each parallelogram. The figures arenot drawn to scale.
3.
6 cm
13 cm
8 cm
base
base
LessonSummary
The formula to calculatethe area of a parallelogramis 𝐴 = 𝑏ℎ,where 𝑏 represents the base and ℎ represents the
height of the parallelogram.
The height of a parallelogramis thelinesegment perpendicular to the base.

4. Lesson 1: The Area ofParallelograms Through Rectangle Facts
Date: 5/11/15 S.4
4
© 2014 Common Core, Inc. Some rightsreserved. commoncore.org
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM 6•5Lesson 1
4.
5.
6.
7. Brittany and Sid were both asked to drawthe height of a parallelogram. Their answers are below.
Brittany Sid
Are both Brittany and Sid correct? If not, who is correct? Explain your answer.
base
height
base
height
5
1
4
in.
3
5
6
in.
7
2
3
in.
2
1
2
in.
1.2 ft.
13.4 ft. 12.8 ft.
3
1
2
m
3
5
6
m4
1
3
m

5. Lesson 1: The Area ofParallelograms Through Rectangle Facts
Date: 5/11/15 S.5
5
© 2014 Common Core, Inc. Some rightsreserved. commoncore.org
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM 6•5Lesson 1
8. Do the rectangle and parallelogrambelowhave the same area? Explain why or why not.
9. A parallelogramhas an area of 20.3 squarecentimeters and a baseof 2.5 centimeters. Write an equation that
relates the area to the baseand height, ℎ. Solve the equation to determine the length of the height.
15 ft.
8 ft.
8 ft.
15 ft.
10 ft.