Reflection: Got zeros? Polynomials do! Multiplicity of Zeros (Day 1 of 3) - Section 1: Warm-up: clicker question


I was surprised at the number of students that solved this warm-up problem by using a calculator and looking for the zeros in the table. It definitely seemed like students had some prior knowledge of using this strategy to find zeros. However, it is important that students are able to solve this algebraically as well. So I pushed my students to find the answer on the calculator, then work to find it algebraically. When they move on to the TI-Nspire calculator activity they are not able to use the table to identify zeros of the function. It is something about the way the .TNS file is programmed. For some reason, all the function values in the table are being shown as undefined. So it is important that our students are comfortable with applying the zero product property to identify the zeros when an equation is in factored form.

  Using the Table of Values to find Zeros
  Using the Table of Values to find Zeros
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Got zeros? Polynomials do! Multiplicity of Zeros (Day 1 of 3)

Unit 2: Polynomial Functions and Equations
Lesson 5 of 15

Objective: SWBAT• Determine the degree of polynomial functions and understand the relationship between degree and end behavior of polynomial functions. • Write possible equations for a polynomial function, given information about its zeros. • Write polynomial equations in factored form, given the graphs of three functions.

Big Idea: Using Nspire Calculators, students investigate the relationships of polynomial functions, their degree, end behaviors, zeros and x-intercepts.

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Math, degree of a polynomial, end behavior (polynomials), Precalculus and Calculus, polynomials, x-intercepts, Algebra 2, PreCalculus, zeros of functions, Algebra, Multiplicity of Zeros, Nspire Calculators, Texas Instruments
  50 minutes
student working multiplicity of zeros day 1
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