Dispatch 4b2 + 9b 10x2 – 19x + 63 64a6b9c6 Simplify b ( 4b – 1) + 10b x ( 3x – 5 ) + 7 ( x2 – 2x + 9) 3. (4a2b3c2)3 4b2 + 9b 10x2 – 19x + 63 Flashcards-Distributive Property ( monomial times a polynomial) Starting from today, number 3 will be a PA review problem for students!!!! 64a6b9c6

Multiplying Polynomials Objective: We will be able to multiply polynomials using the Distributive Property, FOIL Method, and Magic Box Method. Ask them whats the term that stands out; Ask them what they think a polynomial is Standard: 10.0

Concept Task (x + 3)(x + 2) x2 + 5x + 6 (8d + 3)(5d + 2) Emphasize that these are two binomials that are multiplying. Give them the answer. Now, give them 5 minutes for them to discover how they got that answer. After time has been called, get one student from each table to give an explanation as to how they got that answer.

DISTRIBUTIVE PROPERTY GP (x + 3)(x + 2) Step 1: DP (x + 3)(x + 2) = x(x) + x(2) + 3(x) + 3(2) Step 2: CLT x2 + 2x + 3x + 6 x2 + 5x + 6

LETS REVIEW SOME VOCABULARY Coefficient (x + 3)(x + 2) x2 + 5x + 6 Quadratic Term Linear Term Constant Term

The length of a rectangle is 4h + 5 and width h + 7. What is the area? YT (4h – 2)(4h – 1) (2m + 2)(3m – 3) 6m2 – 6 (y – 2)(y + 8) y2 + 6y - 16 Give 5-6 minutes for students to work on these problems individually. In t he four minute mark, ask them to use Think Pair Share in order to go over the solutions. Draw three cards to call on students. The length of a rectangle is 4h + 5 and width h + 7. What is the area? 4h2 + 33h + 35

FOIL METHOD F: First Term O: Outer Term I: Inner Term L: Last Term GP (y + 4)(y – 3) (y + 4)(y – 3) F (y)(y) O (y)(-3) I (4)(y) L (4)(-3) FOIL Method only works when multiplying binomials only!!!! y2 -3y + 4y - 12 y2 + y - 12

FOIL METHOD F: First Term O: Outer Term I: Inner Term L: Last Term GP (7x – 4)(5x – 1) (7x – 4)(5x – 1) F (7x)(5x) O (7x)(-1) I (-4)(5x) L (-4)(-1) 35x2 – 7x -20x + 4 35x2 -27x + 4

YT (2w – 5)(w + 7) F: First Term O: Outer Term I: Inner Term L: Last Term 2w2 + 9w – 35 (5m – 6)(5m – 6) 25m2 – 60m + 36

p2 -4p 2p -8 MAGIC BOX METHOD GP (p – 4)(p + 2) X p – 4 p +2

10a2 -4a – 15p 6 MAGIC BOX METHOD GP (5a – 2)(2a – 3) X 5a – 2 2a – 3

YT (3c + 1)(c – 2) (d – 1)(5d – 4) (4c + 1)(2c + 1)

3c2 c -6c -2 MAGIC BOX METHOD GP (3c + 1)(c – 2) X 3c + 1 c – 2

5d2 –5d -4d 4 MAGIC BOX METHOD GP (d – 1)(5d – 4) X d – 1 5d – 4

8c2 2c 4c 1 MAGIC BOX METHOD GP (4c + 1)(2c + 1) X 4c + 1 2c +1

REMINDER: QUIZ TOMORROW PERIOD 1 1/18/13 Daily Practice Study Guide Intervention Worksheet Pg. 97 1-18 EVEN REMINDER: QUIZ TOMORROW PERIOD 1 1/18/13 REMINDER: TUTORING TODAY 3:50-4:50 LIBRARY GET EXTRA POINTS!!!

What if we have….. (p + 4)(p2 + 2p – 7) p( p2 + 2p – 7) + 4(p2 + 2p – 7) (8p) (p3) + (2p2) (-7p) (4p2) (-28) Ask students if we can use the FOIL Method in this situation. They should answer no as the FOIL Method only works for myltipling a binomial times another binomial. Here we have the product of a binomial and a trinomial. Students should then realize that they will have to use the distributive property p3 + 6p2 + p – 28

YT (2w – 5)(w + 7) F: First Term O: Outer Term I: Inner Term L: Last Term 2w2 + 9w – 35 (5m – 6)(5m – 6) 25m2 – 60m + 36 The length of a rectangle is 10r – 4. The width is 10r + 4. What is the Area of the Rectangle? 100r2 – 16

A B C D A. Find (x + 2)(x – 3). A. x2 + x – 6 B. x2 – x – 6 C. x2 + x + 6 D. x2 + x + 5 A B C D

A B C D B. Find (3x + 5)(2x – 6). A. 5x2 – 8x + 30 B. 6x2 + 28x – 1 C. 6x2 – 8x – 30 D. 6x – 30 A B C D

Dispatch PA #3 Problems -5p3 – 9p2 + 5p 2x – 5 x + 4 Simplify Subtract (6p3 + 3p2 – 7p) from (p3 – 6p2 – 2p) 2. -5p3 – 9p2 + 5p Write an expression to represent the area of the rectangle 2x – 5 x + 4 Area= 2x2 + 3x – 20

LETS REVIEW F: First Term O: Outer Term I: Inner Term L: Last Term GP (c – 9)(c + 3) (c – 9)(c + 3) F (c)(c) O (c)(3) I (-9)(c) L (-9)(3) We learned two methods to solving the product of two binomials, ask students what are they…Distributive Property and the FOIL Method; Have them guide you on solving one of the problems using the FOIL Method and the Distributive Property c2 +3c -9c -27 c2 – 6c – 27

YT (2x – 5)(3x2 – 4x + 1) 2x( 3x2 – 4x + 1) -5(3x2 – 4x + 1) Ask students if we can use the FOIL Method in this situation. They should answer no as the FOIL Method only works for myltipling a binomial times another binomial. Here we have the product of a binomial and a trinomial. Students should then realize that they will have to use the distributive property (3k + 4)(7k2 + 2k – 9) 3k( 7k2 + 2k – 9) + 4(7k2 + 2k – 9) 21k3 – 34k2 – 19k – 36

n2(n2 + 5n – 4) – 3n(n2 + 5n – 4) + 2(n2 + 5n – 4) YT (n2 – 3n + 2 )(n2 + 5n – 4) n2(n2 + 5n – 4) – 3n(n2 + 5n – 4) + 2(n2 + 5n – 4) n4 + 2n3 – 17n2 + 22n – 8 (y2 + 7y – 1)(y2 – 6y + 5) y2(y2 – 6y + 5) + 7y(y2 – 6y + 5) – 1(y2 – 6y + 5) Ask students if we can use the FOIL Method in this situation. They should answer no as the FOIL Method only works for myltipling a binomial times another binomial. Here we have the product of a binomial and a trinomial. Students should then realize that they will have to use the distributive property y4 + y3 – 38y2 + 41y – 5

Daily Practice Study Guide Intervention Worksheet Pg. 98 1-14

FOIL METHOD GP F: First Term O: Outer Term I: Inner Term The length of a rectangle is 8d + 3. The width is 5d + 2. What is the Area of the Rectangle? F: First Term O: Outer Term I: Inner Term L: Last Term (8d + 3)(5d + 2) F (8d)(5d) O (8d)(2) I (3)(5d) L (3)(2) 40d2 + 16d +15d + 6 40d2 + 31d + 6