Lesson Estimating Square Roots
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jespinal_10283
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• Slide 1
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Estimating Square Roots

Use your understanding of perfect square numbers and their square roots to estimate non-perfect square numbers. • Slide 2
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Estimating Square Roots

Determine which two integers the evaluated square root would be between. Perfect square numbers will help you to estimate. • Question 3
45 seconds
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What two integers is  $\sqrt{5}$  between?

3 & 4

1 & 2

0 & 1

2 & 3

• Slide 4
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$\sqrt{5}$  would land between  $\sqrt{4}$  and  $\sqrt{9}$

So the integers would be between 2 & 3. • Slide 5
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Notice where it lands in between.

Its closer to the integer 2 because

$\sqrt{5}$  is closer to  $\sqrt{4}$ • Question 6
45 seconds
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What two integers is  $-\sqrt{17}$  between?

-16 & -17

-4 & -5

-3 & -4

-5 & -6

• Slide 7
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$-\sqrt{17}$  would land between  $-\sqrt{16}$  and  $-\sqrt{25}$

So the integers would be between -4 & -5. • Slide 8
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Notice where it lands in between.

Its closer to the integer -4 because

$-\sqrt{17}$  is closer to  $-\sqrt{16}$ • Question 9
45 seconds
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What two integers is  $\sqrt{89}$  between?

85 & 90

7 & 8

8 & 9

9 & 10

• Slide 10
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$\sqrt{89}$  is between  $\sqrt{81}$  &  $\sqrt{100}$

So the integers were 9 & 10 • Question 11
45 seconds
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What two integers is  $\sqrt{250}$  between?

15 & 16

16 & 17

18 & 19

14 & 15

• Slide 12
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$\sqrt{250}$  is between  $\sqrt{225}$  &  $\sqrt{256}$

So the integers were 15 & 16 • Question 13
45 seconds
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What two integers is  $\sqrt{150}$  between?

10 & 11

11 & 12

12 & 13

13 & 14

• Slide 14
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$\sqrt{150}$  is between  $\sqrt{144}$  &  $\sqrt{169}$

So the integers were 12 & 13 • Slide 15
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Let's try some fill in the blanks.

Switch it up a little.

• Question 16
120 seconds
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What two integers is  $\sqrt{75}$  between?

8 & 9
alternatives
8 and 9
8 & 9
8 and  9
• Question 17
120 seconds
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What two integers is  $\sqrt{389}$  between?

19 & 20
alternatives
19 and 20
19 & 20
19 and  20
• Question 18
120 seconds
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What two integers is  $-\sqrt{47}$  between?

-6 & -7
alternatives
-6 and -7
-6 & -7
-6 and  -7
• Question 19
45 seconds
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Q.

On a scale of 1 to 5, how do you feel about estimating square roots?

5 (I understand it perfectly)

4 (I understand it pretty well)

3 (I think I get it but I need a little more practice)

2 (I kind of get it a little)

1 (I have no idea)

• Question 20 