Algebra – Ch. 9.4 Dividing Polynomials

1. Algebra – Ch. 9.4 Dividing Polynomials Mr. Deyo

2. Learning Target By the end of the period, I will divide monomials and polynomials to simplify the given expressions. I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

3. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section 9.4 Pg. 545 3) Section ______ TxtBk. Problems# 3-25 OddNotes Copiedon blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due

4. Storm Check (Think, Write, Discuss, Report)Questions on which to ponder and answer: How are the two images similar? How are they different? How can these two images be related to math? IMAGE 1 IMAGE 2

5. Vocabulary Polynomial Monomial GCF Divided by ÷

6. Sketch Friendly Definition Sentence Wordwork • DAY 2 • 1. Review word • Friendly Definition • Physical Representation • 2. Draw a sketch • DAY 1 • Use Visuals • Introduce the word • Friendly Definition • Physical Representation • Use Cognates • Write friendly definition • Physical Representation Word List Vocabulary Acquisition • DAY 5 • 1. Review the word • Friendly definition • Physical Representation • 3. Write a sentence • at least 2 rich words (1 action) • correct spelling • correct punctuation • correct subject/predicate agreement • clear and clean writing • DAY 3 and/or DAY 4 • 1. Review the word • Friendly Definition • Physical Representation • 2. Show how the word works • Synonyms/antonym • Word Problems • Relatedwords/phrases • Example/non-example

7. Notes: Properties of Exponents Powers of Powers Property: Quotients of Powers Property:

8. A-B Problem A notes: Powers of Powers Property: a6(a2) = Powers of Powers Property: (a6)2 = Quotients of Powers Property: a6 = a2

9. A-B Problem A Check: Powers of Powers Property: a6(a2) = a6+2 = a8 Powers of Powers Property: (a6)2 = a6(a6) = a12 Quotients of Powers Property: a6 = a2 a6-2 = a4

10. A-B Problem B SOLVE!! Powers of Powers Property: c12(c3) = Powers of Powers Property: (c12)3 = Quotients of Powers Property: c12 = c3

11. A-B Problem B Check!! Powers of Powers Property: c12(c3) = c12+3 = c15 Powers of Powers Property: (c12)3 = c12(c12) (c12) = c36 Quotients of Powers Property: c12 = c3 c12-3 = c9

12. Storm Check (Think, Write, Discuss, Report) Give an example of when do you add exponents: ____________________________________________ Give an example of when you subtract exponents: ____________________________________________ Give an example of when you multiply exponents: ____________________________________________

13. Notes: Simplifying Fractions with Polynomials • Factor Numerator • Common GCF • Common Binomials ( ) ( ) • Factor Denominator • Common GCF • Common Binomials ( ) ( ) • Reduce / Simplify • Remove (“Cancel’) Common Equal Binomials from Numerator and Denominator • Reduce Monomials by Variable & Exponent

14. A-B Problem A notes:

15. A-B Problem A Check:

16. A-B Problem B SOLVE!! Simplify the expression:

17. A-B Problem B Check!! Simplify the expression: X (X - 2) _X_ = = (X + 4)(X - 2) (X + 4)

18. Storm Check (Think, Write, Discuss, Report) When reducing rational expressions, what should I look for in the numerator and denominator? When reducing rational expressions, I should look for ________________________________ _______________________________________ _______________________________________.

19. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section 9.4 Pg. 545 3) Section ______ TxtBk. Problems# 4-26 EvenNotes Copiedon blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due

20. Vocabulary Polynomial Monomial GCF Divided by ÷

21. Learning Target By the end of the period, I will divide monomials and polynomials to simplify the given expressions. I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

22. Ticket OUT. Simplify the expression:

23. Ticket OUT. Simplify the expression: 5X (X + 2) X + 2 = = 5X 1