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Unit 8 - Lesson 4 - Grade 8: Illustrative Mathematics

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6 Questions
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Grade 8 Unit 8
Lesson 4: Square Roots on the Number Line
CC BY 2021 Illustrative Mathematics®
Grade 8 Unit 8
Lesson 4: Square Roots on the Number Line
CC BY 2021 Illustrative Mathematics®
Lesson: Square Roots on the Number Line

Notice and Wonder: Diagonals (Warm Up)

1.

What do you notice? What do
you wonder?


Squaring Lines

2.

Estimate the length of the line segment to the nearest tenth of a unit (each grid square is 1 square unit).

3.

Find the exact length of the segment.

Square Root of 3

Diego said that he thinks that

4.

Use the square to explain why 2.5 is not a very good approximation for \sqrt{3}.Find a point on the number line that is closer to \sqrt{3}. Draw a new square on the axes and use it to explain how you know the point you plotted is a good approximation for \sqrt{3}


5.

Use the fact that \sqrt{3} is a solution to the equation x2 = 3 to find a decimal approximation of \sqrt{3} whose square is between 2.9 and 3.1.

Cool Down: Approximating

Approximating \sqrt{18}

6.

Plot \sqrt{18} on the -axis. Consider using the grid to help.