1 of 8

Estimating Square Roots

Using a Number Line

2 of 8

REVIEW

I plan to begin by reviewing how to graph a rational number on a number line.

​

The first three problems I will complete on the same number line.

​

1. Plot the number 3 on a number line. Be sure to include numbers above and below the given number.

​

​

​

​

​

​

2. On the same number line, graph the point 3.5. (Add in the ½ dashes)

​

​

​

​

​

​

​

3. On the same number line, graph the point 1¾. (Add in the ¼ dashes)

​

​

​

​

​

​

​

​

​

​

4. On a new number line, graph the point ⅘.

​

​

​

​

​

​

​

​

​

3 of 8

REVIEW: Continued

​

5. On a new number line, graph the point 2/9.

​

​

​

​

​

​

​

​

​

​

Discuss Perfect Squares and Square Roots

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

Discuss square roots that are not perfect squares.

4 of 8

6. Estimate the √18.

​

√18 is between which two perfect squares?

√16 and √25

Draw these on a number line, include all of the square roots between them.

​

​

​

​

​

​

​

​

​

​

​

​

​

​

7. Estimate the √28.

​

√18 is between which two perfect squares?

√25 and √36

Represent this on a number line.

​

​

​

​

​

​

Estimating Square Roots

5 of 8

8. Estimate the √60.

​

√60 is between which two perfect squares?

√49 and √64

Represent this on a number line.

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

9. Estimate the √79.

​

√79 is between which two perfect squares?

√64 and √81

Represent this on a number line.

​

​

​

​

​

​

17

6 of 8

Estimating Square Roots Using a Number Line

MEANINGFUL NOTES

Square Roots

Perfect Squares

What is the difference between a perfect square and a square root?

Examples for my future self!

7 of 8

Check Your Understanding Name:________________________

Estimating Square Roots Using a Number Line

​

1. Estimate the value of √6.

​

​

​

​

​

​

​

​

​

​

2. Estimate the value of √12.

​

​

​

​

​

​

​

​

​

3. Estimate the value of √23.

​

​

​

​

​

​

​

​

​

4. Estimate the value of √39.

8 of 8

Check Your Understanding ANSWER KEY

Estimating Square Roots Using a Number Line

​

1. Estimate the value of √6.

​

​

​

​

​

​

​

​

​

​

2. Estimate the value of √12.

​

​

​

​

​

​

​

​

​

3. Estimate the value of √23.

​

​

​

​

​

​

​

​

​

4. Estimate the value of √39.