Warm-Up
Cheryl’s mom was planning a
dinner party. She bought 4 pounds
of steak and 6 pounds of chicken.
She paid $6 in sales tax.
$ 10 per pound
1) Write an expression that shows
$ 5 per pound
how much she spent on the steak
2) Write an expression that shows how much she
spent on chicken
3) Write and evaluate an expression to show how
much she spent on meat including sales tax
Warm Up
1) 3 + 4 x 7 =
2) 42 - (2 + 6) =
3) (3 + 7) 2 - 40 ÷ 2 =
Mr. Malcolm has enough 1’ x 1’ carpet tiles left over
from a building project to cover an area of 55
square feet. He has offered to donate the tiles to a
neighborhood preschool. The preschool wants to
carpet a square play area with the tiles. What is
the largest square they can make?
On the top of a sheet of paper, write
Square Roots 8/28
Skip three spaces down and write
1x1
(remember to show 1 squared)
Then put together a model showing a 1 x 1 square
This is what you should have:
Mr. Malcolm has enough 1’ x 1’ carpet tiles left over
from a building project to cover an area of 55
square feet. He has offered to donate the tiles to a
neighborhood preschool. The preschool wants to
carpet a square play area with the tiles. What is
the largest square they can make?
Area = L X W
1 x 1 = 1 square foot
How could you find the area of the square model you have produced?
L
W
Somewhere on the top of your paper, write down the formula to find the area of the square.
Now, using this formula, calculate the area of the model you produced.
Mr. Malcolm has enough 1’ x 1’ carpet tiles left over
from a building project to cover an area of 55
square feet. He has offered to donate the tiles to a
neighborhood preschool. The preschool wants to
carpet a square play area with the tiles. What is
the largest square they can make?
Now, write
and model it.
2 x 2 = 4 square feet
Find the area of this square model and record it on your notes.
L
W
Mr. Malcolm has enough 1’ x 1’ carpet tiles left over
from a building project to cover an area of 55
square feet. He has offered to donate the tiles to a
neighborhood preschool. The preschool wants to
carpet a square play area with the tiles. What is
the largest square they can make?
Now, write
and model it.
3 x 3 = 9 square feet
Find the area of this square model and record it on your notes.
L
W
Continue this process until you find the largest square area that you could make
with the 55 square tiles that Mr. Malcolm donated.
Your notes should look something like this:
Square Roots
8/28/09
Area = L X W
1 x 1 = 1 square foot
2 x 2 = 4 square feet
3 x 3 = 9 square feet
4 x 4 = 16 square feet
5 x 5 = 25 square feet
6 x 6 = 36 square feet
7 x 7 = 49 square feet
8 x 8 = 64 square feet
One slide before the final answer is shown
Mr. Malcolm has enough 1’ x 1’ carpet tiles left over from a
building project to cover an area of 55 square feet. He has
offered to donate the tiles to a neighborhood preschool.
The preschool wants to carpet a square play area with the
tiles. What is the largest square they can make?
L
L
W
Area = 7 x 7 = 49 square feet
W
Area = 8 x 8 = 64 square feet
L
L
W
Area = 7 x 7 = 49 square feet
W
Area = 8 x 8 = 64 square feet
If the desired area of 55 square tiles falls
somewhere between the examples above, about
what length and width do you think the square
playground will have?
Go to Holt Videos
A perfect square is the square of a whole number.
The number 49 is a perfect square because 49 =72
and 7 is a whole number. Also, the number 64 is a
perfect square because 64 = 82 and 8 is a whole
number. More examples of perfect squares:
See if you can think of some other squares that are
not perfect:
Perfect Square Activity on StarBoard
The square root of a number is one of
the two equal factors of the number.
Four is a square root of 16 because
4 · 4 = 16.
The symbol for a square root is √
which is called a radical sign.
,
Reading Math
√16 = 4 is read as “The square root of 16
is 4.”
Find more square roots!
√25 =
√144 =
√9 =
√36 =
√100 =
√81 =
√1 =
√4 =
Here’s a tricky one…
√30 =
(Estimate to the nearest whole number)
Which ones are perfect squares?
What is the value of 22 ?
What is the value of 42 ?
What is the value of
√9
?
What is the value of
√25
?