Cheryls mom was planning a dinner party. She bought 4 pounds of steak and 6 pounds of chicken. She...

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.

1) Write an expression that shows

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

$ 10 per pound

$ 5 per pound

Warm-UpWarm-Up

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 8/28Skip three spaces down and write

1 x 1 (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?

1 x 1How could you find the area of the square model you have produced?

Somewhere on the top of your paper, write down the formula to find the area of the square.

L

W

Now, using this formula, calculate the area of the model you produced.

= 1 square foot

Area = L X 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?

Find the area of this square model and record it on your notes.

Now, write

2 x 2

and model it.

= 4 square feet

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?

Find the area of this square model and record it on your notes.

Now, write

3 x 3

and model it.

= 9 square feet

L

WContinue 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 foot1 x 1 = 1 square foot

2 x 2 = 4 square feet2 x 2 = 4 square feet

3 x 3 = 9 square feet3 x 3 = 9 square feet

4 x 4 = 16 square feet4 x 4 = 16 square feet

5 x 5 = 25 square feet5 x 5 = 25 square feet

6 x 6 = 36 square feet6 x 6 = 36 square feet

7 x 7 = 49 square feet7 x 7 = 49 square feet

8 x 8 = 64 square feet8 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

W

L

W

Area = 7 x 7 = 49 square feet Area = 8 x 8 = 64 square feet

L

W

L

W

Area = 7 x 7 = 49 square feet 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:

Perfect Square Activity on StarBoardPerfect Square Activity on StarBoard

See if you can think of some other squares that are not perfect:

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.

√16 = 4 is read as “The square root of 16 is 4.”

Reading Math

Find more square roots!√25 =

√ 9 =

√100 =

√ 1 =

√144 =

√36 =

√81 =

√ 4 =

√ 30 = Here’s a tricky one…

Which ones are perfect squares?

(Estimate to the nearest whole number)

What is the value of 22 ?

What is the value of 42 ?

What is the value of ?√ 9

What is the value of ?√25