Download Date: ______ Per - White Plains Public Schools

Name: ________________________________ Date: __________
Per.: ____
Day 2– Squares and Square Roots adv
Number Sense
Objective: By the end of the lesson, I will be able to ________________________________________________
______________________________________________________________________________________________________________
DO NOW:
Natural
Whole
Integer
Rational
Irrational
-3
13
8
4
0
0.34
π
1
3
Class Work
1) Let’s complete the following table.
Tiles on the side
Total number or tiles in
the square arrangement
1
2
1
4
3
4
5
2) Suppose a square arrangement has 36 tiles. How many tiles are on a side? 6
3) What is the relationship between the number of tiles on a side and the number of tiles in the
arrangement?
SQUARE ROOT sign
______________________________________________________________________________
List the first 15 “PERFECT SQUARE ROOTS”:
1
=
Now how do you find the negative square root of a number?
What is the
64 ?
______
What do you think the -
64
would be? __________
Now it is your turn to try!
a. -
49
= ______
b. -
225
= _______
c.
-
144
= _________
Finding which two CONSECUTIVE whole numbers would the square root be between?
1) _____ 
8  _____
2) _____ 
6  _____
3) _____ 
30  _____
4) _____ 
70  _____
5) _____ 
2  _____
6) _____ 
98  _____
Solving operations with square roots
1)
16 6 
2)
64  49 
4) 3 4 
Now You Try It
1) For Tom’s new room, his grandmother gave him a handmade quilt. The quilt is made up of
16 squares set in 4 rows of 4. The area of each square is 324 in2. What are the
dimensions of the quilt in inches?
2) An artist is making two square stained-glass windows. One window has a perimeter of 48
inches. The other has an area of 110 square inches. Which window is bigger? Explain.
Find each square root. (You may use the calculator!!!)
1)
225 =
2)
121 =
3)
196 =
4)
324 =
5)
6)
49 =
7)
900 =
8)
.64 =
9)
169 =
10)
81 =
400 =
Challenge
Explain the difference between finding the square of a number and finding the square root
of a number. Use models and numbers in your explanation.
Name: ________________________________ Date: __________
Per.: ____
Day 2– Squares and Square Roots adv
HOME WORk
Number Sense
Evaluate:
625  _______
1)
2)
81  _______
40,000  _______
3)
Between which two CONSECUTIVE whole numbers would the square root be?
3) _____ 
38  _____
5) _____ 
12  _____
6) _____ 
106  _____
7) _____ 
114  _____
Decide whether each number has a RATIONAL or IRRATIONAL square root.
40 _______ 9)
8)
121 _________ 10)
12) Which value of n makes the following
equation true?
1 _________
13)
n 4
a) 2
b) 4
14) Evaluate
a)
20
b)
c) 8
29
c)
b) 5.8
d) 6
323 __________
16  9 
25
36
b)
c)
49
d)
64
d) 16
15) Which square root is in between 7 and 8?
4  9  16 :
16) What is the value of
nearest tenth?
a) 4.8
c) 5.9
a)
11)
42
d)
34.5 to the
81
a)
48
b)
58
c)
68
17) Classify: 17 .
a) real
c) whole number
b) irrational
d) rational
d)
78