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6-8 Grade 8 Unit 8 Lesson 5

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Unit 8, Lesson 5

Square Roots on the Number Line

Grade 8

Practice

Problem 1

Student Task Statement

Find the exact length of each line segment.
Estimate the length of each line segment to the nearest tenth of a unit. Explain your reasoning.

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Lesson 5 Resources

Student Materials Student Materials in Spanish

Problem 2

Student Task Statement

Plot each number on the -axis: . Consider using the grid to help.

quadrant 1, x axis, 0 to 10, by 1's. y axis, 0 to 8, by 1's.

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Problem 3

Student Task Statement

Use the fact that is a solution to the equation to find a decimal approximation of , whose square is between 6.9 and 7.1.

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Problem 4

ForLesson 14: Estimating with Scientific Notation

Student Task Statement

Graphite is made up of layers of graphene. Each layer of graphene is about 200 picometers, or meters, thick. How many layers of graphene are there in a 1.6-mm-thick piece of graphite? Express your answer in scientific notation.

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Problem 5

ForLesson 6: The Slope of a Fitted Line

Student Task Statement

Here is a scatter plot that shows the number of assists and points for a group of hockey players. The model, represented by , is graphed with the scatter plot.

Scatter plot with line of best fit. Horizontal axis, assists, scale 0 to 60, by 15’s. Vertical axis, Points, scale 0 to 80, by 20’s.

What does the slope mean in this situation?
Based on the model, how many points will a player have if he has 30 assists?

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Problem 6

ForLesson 5: Introduction to Linear Relationships

Student Task Statement

The points and lie on a line. What is the slope of the line?

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