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9-12 Integrated Math 1 Unit 3 Lesson 5

Gradeband

K-5 Math 6-8 Math •9-12 Math

Course

•Integrated Math 1 Integrated Math 2 Integrated Math 3

Unit

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

Modeling Prompts

Lesson

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

K-5
6-8
9-12

Integrated Math 1
Integrated Math 2
Integrated Math 3

Algebra 1
Geometry
Algebra 2
Extra Support Materials for Algebra 1

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

Modeling Prompts

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

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Unit 3, Lesson 5

Calculating Measures of Center and Variability (Optional)

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Integrated Math 1

Practice

Problem 1
Student Task Statement
The data set represents the number of errors on a typing test.

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12

What is the median? Interpret this value in the situation.

What is the IQR?
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Problem 2

Student Task Statement

The data set represents the heights, in centimeters, of ten model bridges made for an engineering competition.

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What is the mean?
What is the MAD?

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Problem 3

ForLesson 4: The Shape of Distributions

Student Task Statement

Describe the shape of the distribution shown in the dot plot. The dot plot displays the golf scores from a golf tournament.

<p>Dot plot from 132 to 140 by 1’s. golf score (strokes). Beginning at 132, number of dots above each increment is 0, 2, 3, 6, 3, 2, 2, 6, 1, 1.</p>

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Problem 4

ForLesson 4: The Shape of Distributions

Student Task Statement

The dot plot shows the weight, in grams, of several different rocks. Select all the terms that describe the shape of the distribution.

<p>Dot plot from 0.24 to 0.34 by .01’s. weight (grams). Beginning at 0.24, number of dots above each increment is 0, 2, 4, 6, 4, 2, 4, 6, 4, 2, 0.</p>

bell-shaped
bimodal
skewed
symmetric
uniform

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Problem 5

ForLesson 3: A Gallery of Data

Student Task Statement

The dot plot represents the distribution of wages earned during a one-week period by 12 college students.

<p>Dot plot from 112 to 124 by 1’s. Weekly wages in dollars. Beginning at 112, number of dots above each increment is 1, 1, 0, 0, 3, 0, 2, 2, 0, 0, 0, 0, 3.<br>
</p>

What is the mean? Interpret this value based on the situation.
What is the median? Interpret this value based on the situation.
Would a box plot of the same data have allowed you to find both the mean and the median?

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Problem 6

ForLesson 2: Data Representations

Student Task Statement

The box plot displays the temperature of saunas in degrees Fahrenheit. What is the median?

<p>Box plot from 110 to 126 by 2’s labeled "degrees, Fahrenheit". Whisker from 111 to 115. Box from 115 to 124 with vertical line at 118. Whisker from 124 to 126. </p>

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Problem 7

ForLesson 6: Construction Techniques 4: Parallel and Perpendicular Lines

Student Task Statement

Two distinct lines, and , are each perpendicular to the same line . Explain why and are parallel lines.

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Lesson 5 Resources

Student Materials Student Materials in Spanish