Lesson 1
NYS COMMON CORE MATHEMATICS CURRICULUM
6•5
Lesson 1: The Area of Parallelograms Through Rectangle Facts
Classwork
Opening Exercise
Name each shape.
Exercises
1.
Find the area of each parallelogram below. Note that the figures are not drawn to scale.
a.
4 cm
5 cm
6 cm
b.
8m
10 m
25 m
c.
7 ft.
11.5 ft.
12 ft.
Lesson 1:
The Area of Parallelograms Through Rectangle Facts
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org
This file derived from G6-M5-TE-1.3.0-10.2015
S.1
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 1
NYS COMMON CORE MATHEMATICS CURRICULUM
2.
6•5
Draw and label the height of each parallelogram. Use the correct mathematical tool to measure (in inches) the base
and height, and calculate the area of each parallelogram.
a.
base
b.
base
c.
base
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. Solve the equation.
Lesson 1:
The Area of Parallelograms Through Rectangle Facts
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org
This file derived from G6-M5-TE-1.3.0-10.2015
S.2
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 1
NYS COMMON CORE MATHEMATICS CURRICULUM
6•5
Lesson Summary
The formula to calculate the area of a parallelogram is 𝐴 = 𝑏ℎ, where 𝑏 represents the base and ℎ represents the
height of the parallelogram.
The height of a parallelogram is the line segment perpendicular to the base. The height is usually drawn from a
vertex that is opposite the base.
Problem Set
Draw and label the height of each parallelogram.
1.
2.
base
base
Calculate the area of each parallelogram. The figures are not drawn to scale.
3.
4.
6 cm
8 cm
13 cm
13.4 ft.
12.8 ft.
1.2 ft.
5.
6.
2
7 in.
3
5
3
1
in.
4
4
2
1
in.
2
3
1
m
3
3
1
m
2
5
m
6
5
in.
6
Lesson 1:
The Area of Parallelograms Through Rectangle Facts
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org
This file derived from G6-M5-TE-1.3.0-10.2015
S.3
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 1
NYS COMMON CORE MATHEMATICS CURRICULUM
7.
6•5
Brittany and Sid were both asked to draw the height of a parallelogram. Their answers are below.
Brittany
Sid
height
height
base
base
Are both Brittany and Sid correct? If not, who is correct? Explain your answer.
8.
Do the rectangle and parallelogram below have the same area? Explain why or why not.
8 ft.
10 ft.
15 ft.
15 ft.
9.
8 ft.
A parallelogram has an area of 20.3 cm2 and a base of 2.5 cm. Write an equation that relates the area to the base
and height, ℎ. Solve the equation to determine the height of the parallelogram.
Lesson 1:
The Area of Parallelograms Through Rectangle Facts
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org
This file derived from G6-M5-TE-1.3.0-10.2015
S.4
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.