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wednesday Do Now

CHAMPS RED NO TALKING!. wednesday Do Now. Homework. HW: Simplifying Rational Expressions with GCF. How will I meet the objective today?. By the end of today’s lesson, I will meet the objective by simplifying rational expressions using a GCF with 80% accuracy.

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wednesday Do Now

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  1. CHAMPS RED NO TALKING! wednesday Do Now

  2. Homework • HW: Simplifying Rational Expressions with GCF

  3. How will I meet the objective today? • By the end of today’s lesson, I will meet the objective bysimplifying rational expressions using a GCF with 80% accuracy. Rate Yourself on the objective! 4 - I can teach today’s lesson 3 - I understand most of today’s lesson. 2 - I only understand some of today’s lesson. 1 – I don’t understand today’s lesson.

  4. Notebook set up! • Page 45 • Title: Simplifying Rational Expressions GCF • Update your table of contents!

  5. Factoring Method: GCF **Always look for a GCF before using any other factoring method.

  6. Ex: Find the GCF(6a5,3a3,2a2) The terms share two factors of a • 6a5 = 2*3*a*a*a*a*a • 3a3 = 3*a*a*a • 2a2 = 2*a*a  GCF(6a5,3a3,2a2)=a2 Note: The exponent of the variable in the GCF is the smallest exponent of that variable the terms

  7. Ex: Factor 7x2 + 3x Think of the Distributive Law: a(b+c) = ab + ac reverse it ab + ac = a(b + c) Do the terms share a common factor? What is the GCF(7x2, 3x)? Recall: GCF(7x2, 3x) = x Factor out 2  7 x + 3 x = x ( + ) What’s left? x x  7x2 + 3x = x(7x + 3)

  8. Steps to Solve: 1. Find the greatest common factor (GCF). 2. Divide the polynomial by the GCF. The quotient is the other factor. 3. Express the polynomial as the product of the quotient and the GCF.

  9. I Do GCF: 3cd 3cd(2 - 4cd + 1)

  10. Factor these on your own looking for a GCF.

  11. We Do Denominator GCF: 3k (3k - 10) Simplifying Numerator GCF: 6k - 6k(k²+ k - 2) 6k(k + 2)(k - 1) 2

  12. You Do Denominator GCF: 4 (a - 9) Simplifying Numerator GCF: 2 2a(a - 9) 2

  13. Answer these questions in your summary • When simplifying ration expressions, always check …. • To factor out the GCF, … • After factoring out the GCF, … • Once the numerator and denominator are factored, …

  14. CHAMPS YELLOW C – Level 2 (Conversation) H – Check Notes, Ask 1 Before Me! A – COMPLETE ALL Problems. M – Remain seated, raise hand first P - SLANT Practice Time You will work with your group to complete CW: Simplifying Rational Expressions GCF Norms Be Polite Be Productive!

  15. CHAMPS RED Exit Slip Simplify

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