This document provides instruction and practice problems for calculating square roots: 1. It defines a square root as one of the two equal factors of a squared number and introduces the radical sign as the symbol for a square root. 2. Several practice problems are provided to estimate square roots to the nearest whole number and evaluate exact square roots of numbers. 3. An example word problem asks students to approximate the length of each side of a square area of 200 square miles to find a lost hiker.

1. 1
Do Now
AIM: Square Roots

2. 2
The BIG Idea
Brainpop
1.) Below is a square with the area of 16 square units. Find the length of the sides.
2.) Find the square root of 16 based on the definition.
3.) What conclusions can you make about square root based on
the previous two problems?
Square Root of a Number: is one of the two equal factors of a squared number.

3. 3

4. 4
Radical Sign: The symbol for a square root.
Evaluate the following.
36 121 196

5. 5
Estimate each square root to the nearest whole number.
40
40
40
40
A.) What is the next perfect square that is greater than 40?
B.) What is the next perfect square that is less than 40?
C.) What are the square roots of the perfect squares?
D.) Which perfect square is closer to 40?
E.) Use a calculator to check your answer.

6. 6
Estimate each square root to the nearest whole number.
99
99
99
99
Square Root Calculator

7. 7
Estimate each square root to the nearest whole number.
79
79
79
79

8. 8
Estimate each square root to the nearest whole number.
150
150
150
150

9. 9
BEFORE YOU LEAVE
While searching for a lost hiker, a helicopter pilot covers a
square area of 200 mi2
. What is the approximate length of
each side of the square area? Round your answer to the
nearest mile.

10. 10
Homework: 1.) Pages 446-447 #10-23 all
2.) Page 205 #42-45 all
Mr. Tjersland's Math 7

11. 11
Radical Sign: The symbol for a square root.
Evaluate the following.
36 121 196
AIM: Square Roots

12. 12
Estimate each square root to the nearest whole number.
79
79
79
79

13. Attachments
Class Notes 10­30­06.doc
Class Notes 12­15­06.doc
j0354669.gif
j0303499.gif
j0074724[1].wav
Calculator Demonstration.notebook