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Mastering Polynomial and Monomial Multiplication - Chapter 8.2 Notes

This lesson focuses on multiplying polynomials by monomials, equipping students with essential algebraic skills. The objectives include understanding how to solve equations involving products of monomials and polynomials, and using appropriate tools for problem-solving. Students will engage in guided practice with various examples, including expressions like -3x²(7x² - x + 4) and equations on both sides. The exit slip encourages reflection on learning, while the homework provides extra practice to reinforce skills.

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Mastering Polynomial and Monomial Multiplication - Chapter 8.2 Notes

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  1. Bell Ringer #3 • Pg.

  2. Chapter 8.2 Notes Multiplying a Polynomial by a Monomial

  3. Objectives • SWBAT multiply a polynomial by a monomial. • SWBAT solve equations involving the products of monomials and polynomials. • Students will use appropriate tools strategically.

  4. Example 1: Multiply a Polynomial by a Monomial • Find -3x2(7x2 – x + 4). Guided Practice #1: A) 5a2(-4a2 + 2a – 7) B) -6d3(3d4 – 2d3 – d + 9)

  5. Example 2: Simplify Expressions • Simplify 2p(-4p2 + 5p) – 5(2p2 + 20) Guided Practice #2: • 3(5x2+2x-4) – x(7x2+2x-3) • 15t(10y3t5 + 5y2t) – 2y(yt2 + 4y2)

  6. Example 3: • Guided Practice #3 (pg. 473) • A) B)

  7. Example 4: Equations and Polynomials on Both Sides 2a(5a – 2) + 3a(2a + 6) + 8 = a(4a + 1) + 2a(6a – 4) + 50 Guided Practice #4: (pg. 474) A) B)

  8. Exit Slip • 3 Things you Learned • 2 Things you Understand • 1 Thing that still Confuses you. Homework: Chapter 8.2 Skills Practice in WB EXTRA PRACTICE!! Pg. 475; 19-39 odds

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