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Monday, 20181119

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  1. Monday, 20181119 Essential Questions • EQ11: How are polynomials simplified and factored? Word Wall Greatest Common Factor (GCF) Polynomial Monomial Binomial Trinomial Terms Agenda Bridge Math • Store your phones • Find your seat • Bellwork: Bridge Math • Calculator • EQ11 Polynomials • Exit Ticket • Remain in seat until bell rings. Teacher Dismisses NOT the bell. It’s always a great day to be a Wolverine!

  2. Bellwork: Monday, Math Minutes.20181119 7. 12x • x2 • 2x = 8. Solve for x. 4x + 20 = 3x 9. What is y if both triangles are proportional? 10. (4y)2 =

  3. Answers

  4. Partners • Take out a sheet of paper. Label the paper EQ11 GCF, Name, Date, Classperiod • Please find your working partner quietly and quickly.

  5. Vocabulary Greatest Common Factor (GCF) -The highest number that divides exactly into two or more numbers without leaving a remainder. Polynomial - consisting of several terms. Monomial - an algebraic expression consisting of one term. Binomial - an algebraic expression of the sum or the difference of two terms. Trinomial - an algebraic expression of three terms. Terms - are separated by + or − signs.

  6. Review prime factors Write the prime factors of each. • 10ab • 3x2 • 4cd3 • 6y2z2 2●5●a●b 3●x●x 2●2●c●d●d●d 2●3●y●y●z●z

  7. Factoring the GCF from Polynomials

  8. ReviewEQ11 How are polynomials simplified and factored? • Algebraic Factorization is the writing of an expression as the product of prime numbers and variables with no variables having an exponent greater than one.

  9. Example: • 14x2y = 2  7  x  x  y

  10. Steps for Factoring the GCF From Polynomials • Write down the problem. 3x3 + 6x2y – 15xy2

  11. Examples • We will do these together on the board. • 12a2b + 90a2b2c • 32m2n3 – 8m2n + 56m3n2

  12. Examples • We will do these together on the board. • 12a2b + 90a2b2c

  13. Examples • We will do these together on the board. • 32m2n3 – 8m2n + 56m3n2

  14. Try these yourself. • 15x2 – 20xy • 3x2 + 15x • 20abc + 15a2c – 5ac

  15. Partners • Take out a sheet of paper. Label the paper EQ11 GCF, Name, Date, Classperiod • Please find your working partner quietly and quickly.

  16. and rewrite the problems with GCF and leftovers in parenthesis

  17. Exit Ticket • SOLVE: • 10a3bc2(4a2b2c – 3a2bc3) • What exponent rule allows you to combine the exponents? Explain how to combine exponents according to the exponent rule.

  18. Extra GCF on next 2 slides

  19. RULES FOR EXPONENTS(all numbers below must be real) Remember: EXPONENT RULES