Reflection: Discourse and Questioning Solving Polynomial Equations Day 2 - Section 2: Finding Possible Rational Roots of Polynomial Equation


In the past lesson, my students did well in developing the concept that the product of the zeros of a polynomial is equivalent to the opposite of the constant (at least where the leading coefficient is one).  Today, I found that making the jump to having a leading coefficient other than one was challenging.  We looked at the possible zeros but I wanted them to make connection that the product of the denominators should be equivalent to the leading coefficient.  One question that seemed to make a huge difference was whether 1/5 and 3/5 could both be zeros of a polynomial with a leading coefficient of 5.  I loved watching the animated conversations as students made the connection while discussing this with their partner.  So often, questions like this can make the difference in conceptual understanding and can really set apart a strong Common Core lesson.

  Discourse and Questioning: Asking Deeper Conceptual Questions
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Solving Polynomial Equations Day 2

Unit 6: Polynomial Functions
Lesson 9 of 15

Objective: Students will be able to solve polynomial equations with both rational and irrational roots that have at a leading coefficient other than one.

Big Idea: Students build a model for finding the solutions to polynomial equations, no magic (or incomprehensible) p/q method here.

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Math, Algebra, Algebra 2, master teacher project, Polynomial Equations
  53 minutes
image solving polynomial equations day 2
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