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IM K-5 Math
IM 6-8 Math
IM 9-12 Math

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6-8 Grade 6 Unit 1 Lesson 5

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K-5 Math •6-8 Math 9-12 Math

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•Grade 6 Grade 7 Grade 8

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•Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9

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Lesson 1 Lesson 2 Lesson 3 Lesson 4 •Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18 Lesson 19

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9-12

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Accelerated 6
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Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8
Unit 9

Lesson 1
Lesson 2
Lesson 3
Lesson 4
Lesson 5
Lesson 6
Lesson 7
Lesson 8
Lesson 9
Lesson 10
Lesson 11
Lesson 12
Lesson 13
Lesson 14
Lesson 15
Lesson 16
Lesson 17
Lesson 18
Lesson 19

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Unit 1, Lesson 5

Bases and Heights of Parallelograms

Grade 6

Practice

Problem 1
Student Task Statement
Select all parallelograms that have a correct height labeled for the given base.

4 parallelograms on a grid, labeled A, B, C, D. Parallelogram A, base = 3 units, height = 2 units. Parallelogram B, base = 3 units, height = 2 units. Parallelogram C, base = 3 units, height = 2 units. Parallelogram D, base = diagonal across two unit squares, height = 3 units.

A

B

C

D
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Lesson 5 Resources

Student Materials Student Materials in Spanish

Problem 2

Student Task Statement

The side labeled has been chosen as the base for this parallelogram.

Draw a segment showing the height corresponding to that base.

parallelogram on a grid. base = 4 units, distance from bottom side to top side = 2 units. Left and right sides are slanted.

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Problem 3

Student Task Statement

Find the area of each parallelogram.

3 parallelograms on a grid, labeled A, B, C.

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Problem 4

Student Task Statement

If the side that is 6 units long is the base of this parallelogram, what is its corresponding height?

Parallelogram.

6 units
4.8 units
4 units
5 units

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Problem 5

Student Task Statement

Find the area of each parallelogram.

Parallelogram A, base = 9 centimeters, height = 4 centimeters. — A

Parallelogram B, base = 5 centimeters, height = 4 centimeters.<br> — B

Parallelogram C, base = b, height = h. — C

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Problem 6

ForLesson 4: Parallelograms

Student Task Statement

Do you agree with each of these statements? Explain your reasoning.

A parallelogram has six sides.
Opposite sides of a parallelogram are parallel.
A parallelogram can have one pair or two pairs of parallel sides.
All sides of a parallelogram have the same length.
All angles of a parallelogram have the same measure.

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Problem 7

ForLesson 2: Finding Area by Decomposing and Rearranging

Student Task Statement

A square with an area of 1 square meter is decomposed into 9 identical smaller squares. Each smaller square is decomposed into two identical triangles.

What is the area, in square meters, of 6 triangles? If you get stuck, consider drawing a diagram.
How many triangles are needed to compose a region that is square meters?

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Problem 8

from an earlier course

Student Task Statement

Which shape has a larger area: a rectangle that is 7 inches by inch, or a square with side length of inches? Show your reasoning.

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