Bell Ringer:

•5 minutes•4 minutes•3 minutes•2 minutes•1 minute•30 seconds•TIMES UP!!!

You are making square shaped invitations for a party. You start with a square piece of paper with 6-in sides. You reduce both its length and its width by x. What is the area of the invitation? Justify our reasoning.

Objective: SWBAT : find the square of a binomial and to find the product of a sum and difference

Homework:Textbook- Read 504-507 Do: P. 507-509: 1, 3, 5, 8, 12, 15, 16, 20,25,36,50

Bell Ringer: You are making square shaped invitations for a party. You start with a square piece of paper with 6-in sides. You reduce both its length and its width by x. What is the area of the invitation? Justify our reasoning.

Objective: SWBAT : find the square of a binomial and to find the product of a sum and difference

Homework:Textbook- Read 504-507 Do: P. 507-509: 1, 3, 5, 8, 12, 15, 16, 20,25,36,50

Answer:Width is (60-x) in and length is (60-x) in. So the area is (6-x)2.

This equals 36-12x+xs

Simplify the product:

(a+b)2

Objective: SWBAT : find the square of a binomial and to find the product of a sum and difference

Homework:Textbook- Read 504-507 Do: P. 507-509: 1, 3, 5, 8, 12, 15, 16, 20,25,36,50

= (a+b)(a+b)= a2 + 2ab + b2

Definition: Square of a Binomial:

(a-b)s a2 –2ab + b2

the square of the first term plus twice the product of the two terms plus the square of the last term.

(a+b)s = a2 + 2ab + b2

Objective: SWBAT : find the square of a binomial and to find the product of a sum and difference

Homework:Textbook- Read 504-507 Do: P. 507-509: 1, 3, 5, 8, 12, 15, 16, 20,25,36,50

The product of the sum and difference of the same two terms is the difference of their squares:

Definition: Product of the Sum and Difference:

(a+b)(a-b) = a2 – b2

Objective: SWBAT : find the square of a binomial and to find the product of a sum and difference

Homework:Textbook- Read 504-507 Do: P. 507-509: 1, 3, 5, 8, 12, 15, 16, 20,25,36,50

Definition: Product of the Sum and Difference:

1. (x+4)2

2. (x-3)2

3. (x+2)(x-2)

Complete the examples with your elbow partner

Objective: SWBAT : find the square of a binomial and to find the product of a sum and difference

Homework:Textbook- Read 504-507 Do: P. 507-509: 1, 3, 5, 8, 12, 15, 16, 20,25,36,50

Apply Squaring a Binomial: Square an simplify: (2m-3)2

Objective: SWBAT : find the square of a binomial and to find the product of a sum and difference

Homework:Textbook- Read 504-507 Do: P. 507-509: 1, 3, 5, 8, 12, 15, 16, 20,25,36,50

Apply Squared of Binomials:

With elbow partners, solve ONLY using mental math: 392

Hint: What is the nearest multiple of 10 to 39

Using 40, write 392 as the square of a binomial 392 = (40 – 1)2

Answer..

= 402 – 40(1) –(1)(40) + 12

= 1600 -80 + 1

= 1521

Objective: SWBAT : find the square of a binomial and to find the product of a sum and difference

Homework:Textbook- Read 504-507 Do: P. 507-509: 1, 3, 5, 8, 12, 15, 16, 20,25,36,50

Apply Squared of Binomials:

Next: (x+ 9)(x-9)

Objective: SWBAT : find the square of a binomial and to find the product of a sum and difference

Homework:Textbook- Read 504-507 Do: P. 507-509: 1, 3, 5, 8, 12, 15, 16, 20,25,36,50

Apply Squared of Binomials:

Next: What is 52 * 48 (mental math)?

(50 + 2)(50 - 2) =

= 2500 + (50)(-2) + (2)(50) + 2(-2)= 2500 -100 + 100 -4=2500 -4

= 2496

Table/Group Problem

Be prepared to present to the class.

A cylinder had a radius of x+1 and a height of x+4. Write a polynomial in standard for that best describes the total surface area of the cylinder.

Objective: SWBAT : find the square of a binomial and to find the product of a sum and difference

Homework:Textbook- Read 504-507 Do: P. 507-509: 1, 3, 5, 8, 12, 15, 16, 20,25,36,50

Reflection If a classmate used mental math and determined that 392 = 1601, what mistake did he or she likely make??

Objective: SWBAT : find the square of a binomial and to find the product of a sum and difference

Homework:Textbook- Read 504-507 Do: P. 507-509: 1, 3, 5, 8, 12, 15, 16, 20,25,36,50