Lesson Plan : 6.2: Polynomials and Linear Factor

Teacher Name:
 Emily Werner
Grade:
 Grade 11-12
Subject:
 Math

Topic:
 Polynomial functions
Content:
 relative maximum and minimum, Factor Theorem, multiple zeros, and multiplicity
Goals:
 1) Define relative maximum and relative minimum, and show students what they are. 2) State Factor Theorem and show students how it works 3) Define multiple zeros and multiplicity and show students what they are
Objectives:
 1) Students get practice at writing polynomials in standard form,i.e. moving from factored form to standard form 2) Students get practice at factoring polynomials 3) Students are reminded of the Zero-Product Property and use it to find zeros of polynomial functions 4) Students learn how to write zeros of a polynomial and then write them as a polynomial function 5) Students learn how to find multiple zeros and how to determine the multiplicity of a multiple zero
Materials:
 white board, white board markers, overhead, transparencies, overhead calculator
Introduction:
 -Teacher defines relative maximum, relative minimum, Factor Theorem,multiple zero, and multiplicity
Development:
 -Teacher shows students how to write a polynomial in standard form given the factored form -Teacher shows how to factor polynomials given standard form -Teacher shows students how to find the zeros of a polynomial -Teacher shows hoe to write a polynomial given its zeros -Teacher shows how to find multiple zeros and how to determine the multiplicity
Practice:
 Ex.1: Write Polynomial in standard form Ex.2: Write Polynomial in factored form Ex.3: Find zeros of Polynomial Ex.4: Write polynomial given zeros Ex.5: Find multiple zeros and determine multiplicity
Accommodations:
 technology, different colors, verbal and visual instructions and explanations
Checking For Understanding:
 -Teacher asks questions during lecture to gauge student understanding -Teacher assigns homeworkto give students practice
Closure:
 -Teacher reminds students to show all work -Teacher gives homework assignment

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