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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.

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Presentation on theme: "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."— Presentation transcript:

1 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

2 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+x s

3 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) = a 2 + 2ab + b 2 Definition: Square of a Binomial: (a-b) s a 2 – 2ab + b 2 the square of the first term plus twice the product of the two terms plus the square of the last term. (a+b) s = a 2 + 2ab + b 2

4 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) = a 2 – b 2

5 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

6 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

7 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: 39 2 Hint: What is the nearest multiple of 10 to 39 Using 40, write 39 2 as the square of a binomial 39 2 = (40 – 1) 2 Answer.. = 40 2 – 40(1) –(1)(40) + 1 2 = 1600 -80 + 1 = 1521

8 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)

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

10 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

11 ReflectionIf a classmate used mental math and determined that 39 2 = 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


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