IM 8.8.4 Lesson: Square Roots on the Number Line

What do you notice? What do you wonder?
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[/img]
Estimate the length of the line segment to the nearest tenth of a unit (each grid square is 1 square unit).
[img]data:image/png;base64,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[/img]
Find the exact length of the segment.
[size=150]Diego said that he thinks that[math]\sqrt{3}\approx2.5[/math].[/size][br][br][img]data:image/png;base64,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[/img][br]Use the square to explain why 2.5 is not a very good approximation for [math]\sqrt{3}[/math].
Find a point on the number line that is closer to √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 [math]\sqrt{3}[/math].
Use the fact that [math]\sqrt{3}[/math] is a solution to the equation [math]x^2=3[/math]  to find a decimal approximation of [math]\sqrt{3}[/math] whose square is between 2.9 and 3.1.
[size=150]A farmer has a grassy patch of land enclosed by a fence in the shape of a square with a side length of 4 meters. To make it a suitable home for some animals, the farmer would like to carve out a smaller square to be filled with water, as in the figure.[/size][br][img]data:image/png;base64,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[/img][br]What should the side length of the smaller square be so that half of the area is grass and half is water?

IM 8.8.4 Practice: Square Roots on the Number Line

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.
Consider using the grid to help. Plot each number on the x-axis: √16, √35, √66
[size=150]Use the fact that [math]\sqrt{7}[/math] is a solution to the equation [math]x^2=7[/math] to find a decimal approximation of [math]\sqrt{7}[/math] whose square is between 6.9 and 7.1.[/size]
Graphite is made up of layers of graphene.
Each layer of graphene is about 200 picometers, or [math]200\times10^{-12}[/math] meters, thick. How many layers of graphene are there in a 1.6-mm-thick piece of graphite? Express your answer in scientific notation.
Here is a scatter plot that shows the number of assists and points for a group of hockey players.
[size=150]The model, represented by [math]y=1.5x+1.2[/math], is graphed with the scatter plot. [/size][br][br][img]data:image/png;base64,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[/img][br][br]What does the slope mean in this situation?
Based on the model, how many points will a player have if he has 30 assists?
[size=150]The points [math](12,23)[/math] and [math](14,45)[/math] lie on a line. What is the slope of the line?[/size]

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