October 16, 2013
BELLWORK Vocabulary 4-5
White Boards!!
MB pg. 182
square root
principal square root
perfect square
October 16, 2013
perfect square
October 16, 2013
Wednesday, October 16th
Today's Agenda:
1. Bell Work:
Vocabulary Ch. 4-5
2. Check HW: 4-4 Practice B
3. Ch. 4-5 Square Roots
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October 16, 2013
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October 16, 2013
October 16, 2013
Wednesday, October 16th
Lesson Objective:
After the end of the lesson students will
find square roots, perfect squares, and
solve equations with square roots using
the white boards.
HW: WS: 4-5 Practice B (Both Sides)
October 16, 2013
Number, Number Sense and Operations Standard
7. Find the square root of perfect squares and approximate the square
root of non-perfect squares and consecutive integers between which
the root lies; e.g., 130 is between 11 and 12.
(pp 18)
October 16, 2013
Find the principal square root of
the following numbers:
49
121
10000
67
October 16, 2013
Find another square root of each
number:
49
121
10000
67
October 16, 2013
October 16, 2013
BELLWORK Vocabulary 4-5
MB pg. 182
White Boards!!
square root
principal square root
October 16, 2013
Solve each equation to find the value of x.
x2 = 36
x2 = 121
x2 = 400
x2 = 154
x2 = 176
October 16, 2013
The square root of a number is 16.
Determine the value of the number.
A. 4
B. 8
C. 256
D. There is not enough information to
solve this problem.
October 16, 2013
The square root of a number is 27.
Determine the value of the number.
A. 729
B. 13.5
C. 5.2
October 16, 2013
The square root of a number is between
23 and 24. Determine one possible value
of the number.
A. 500
B. 11.5
C. 540
D. 576
October 16, 2013
The square root of a number is between
16 and 17. Determine one possible value
of the number.
A. 8.5
B. 289
C. 256
D. 267
October 16, 2013
is called the radical sign
Finding the square root of a number
is the inverse of squaring a number.
Since 52 = 25 and (-5)2 = 25, the
square root of 25 is both 5 and -5.
October 16, 2013
Find three more perfect squares.
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October 16, 2013
Which integer is a perfect square?
A. 150
B. 225
C. 250
D. 300
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Which integer is a perfect square?
A. 782
B. 783
C. 784
D. 785
October 16, 2013
Which integer is a perfect square?
A. 10
B. 100
C. 1,000
D. 100,000
October 16, 2013
Which integer is a perfect square?
A. 1
B. 2
C. 3
D. 5
October 16, 2013
What is the largest perfect square
you can find? Talk with a partner.
October 16, 2013
perfect square
October 16, 2013
Exit Ticket
1. Describe what is meant by a perfect square. Give an example.
2. Explain how many square roots a posi1ve number can have. How are these square roots different?
3. Decide how many square roots 0 has.
October 16, 2013
2
x
Squaring and Square Roots
b
5 units
1. Find b.
Explain your reasoning.
2. Find the area of the square.
√x
October 16, 2013
What if...
a
a
Area = 64 u2
1. Find the value of a.
October 16, 2013
A carpet square has an area of 625 ft2.
Find the length of one side of the carpet
square.
A. 156.25 feet
B. 312.5 feet
C. 25 feet
D. Not enough information to solve
October 16, 2013
Mr. Matthew's has to clean a wrestling
mat that is square in shape. The
wrestling mat has an area of 441 ft2.
Find the perimeter of the wrestling mat.
A. 21 feet
B. 42 feet
C. 84 feet
D. 441 feet
October 16, 2013
** Finding the square root is really
finding what number, multiplied by
itself twice, will give you the number
that is under the radical symbol.
October 16, 2013
Math Humor
Why wouldn’t the tree
fit in the round pot?
It had square roots!
October 16, 2013
Find the square roots.
October 16, 2013
Find the square roots.
Evaluate.
October 16, 2013
Find the square roots.
Evaluate.
October 16, 2013
Find the square roots.
Evaluate.
October 16, 2013
Find the square roots.
Evaluate.
October 16, 2013
October 16, 2013
Exit Ticket
1. Describe what is meant by a perfect square. Give an example.
2. Explain how many square roots a posi1ve number can have. How are these square roots different?
3. Decide how many square roots 0 has.
October 16, 2013
4. The area of a square garden is 1,681
square feet. What are the dimensions of the
garden?
October 16, 2013
5. Tyler's room is a square. The area of his
room is 289 square feet. He has a banner that
is 18 feet long that he would like to hang on
his wall. Will it fit on one wall?
October 16, 2013
Homework
WS: 4.5
Practice B
Have a great day!
October 16, 2013
Find the square roots.
(pp 19)
October 16, 2013
Find the square roots.
October 16, 2013
7. Estimating Square Roots.
October 16, 2013
7. Estimating Square Roots.
71
October 16, 2013
7. Estimating Square Roots.
th
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n
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r
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a
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qu
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perfe
64
71
81
October 16, 2013
7. Estimating Square Roots.
th
i
w
.
n
s
i
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l
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a
F
qu
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c
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64
8
71
81 9
Find the
square root
of each
perfect
square.
October 16, 2013
!
!
!
n
o
i
t
s
e
u
Q
The
The 71 is
between what
two integers?
October 16, 2013
7. Estimating Square Roots.
64
ith
w
.
n
i
Fill t squares
c
perfe
8
71
81 9
Find the
square root
of each
perfect
square.
The 71 is between what two integers?
October 16, 2013
7. Estimating Square Roots.
64
ith
w
.
n
i
Fill t squares
c
perfe
8
71
81 9
Find the
square root
of each
perfect
square.
The 71 is between what two integers?
8 and 9
October 16, 2013
Now we can
estimate!!
October 16, 2013
A
dif
fer
en
ce
of:
7. Estimating Square Roots.
?
?
64
8
71
81 9
-We know the square root is
between 8 and 9.
-Is it closer to 8 or to 9??
October 16, 2013
A
dif
fer
en
ce
of:
7. Estimating Square Roots.
7
10
64
8
-We know the square root is
between 8 and 9.
71 8.4
-Is it closer to 8 or to 9??
81 9
-It's a little closer to 8,
so I estimate 71 to be
about 8.4.
October 16, 2013
8.
9.
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10. Checkpoint
a.
b.
c.
d.
October 16, 2013
10. Checkpoint
a.
b.
c.
d.
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6
36 square units
Area of
a square
s2
October 16, 2013
Square Root - one of the two equal
factors of a number
October 16, 2013
Every positive number has two square roots, one
positive and one negative. One square root of 16
is 4, since 4 • 4 = 16. The other square root of
16 is –4, since (–4) • (–4) is also 16. You can
write the square roots of 16 as ±4, meaning
“plus or minus” 4.
October 16, 2013
One square root of 16 is 4, since 4 x 4 =
16. The other square root of 16 is -4,
since (-4)(-4) is also 16. You can write
the square roots of 16 as +4, meaning
“plus or minus” 4.
√16 = 4
-√16 = -4
42 = 4 x 4 = 16
(-4)2=(-4) x (-4) = 16
You can use the plus or minus symbol,
±, to indicate both square roots.
±√16 = ±4
October 16, 2013
Plug
√16 =into your calculator.
What do you get?
Principal Square Root = the positive root
REMEMBER --- the negative root!!!