Lesson Plan : 6.1 Polynomial Functions

Teacher Name:
 Emily Werner
 Grade 11-12

 Introduction to Polynomial functions
 polynomial functions, standard form of a polynomial function, classes of polynomial functions, modeling polynomials.
 1) To introduce or reintroduce students to polynomial functions 2) To define polynomial and to provide students with a standard form of a polynomial 3) To show students the differences between classes of polynomials, and how to classify polynomials 4) Teach students how to graph different polynomials and how to model different polynomials.
 1) Students will start working with polynomial functions, and specifically the standard form of a polynomial function. 2) Stundets will have some practice classifying polynomial functions based on number of terms, and degree. 3) Students will be reminded how to enter data into a calculator. 4) Students will remember how to find a quadratic model, and have some practice finding a linear model and/or a cubic model.
 whiteboard, whiteboard markers, overhead, overhead markers, transparencies, overhead calculator
 -Teacher reminds students what they had worked on in the previous chapter -Teacher asks students if they know what a polynomial is -Teacher might have different polynomials listed on a white board
 -Teacher defines monomial and polynomial -Teacher gives the standard form of a polynomial and explains its components -Teacher defines the term degree, and the degree of a polynomial -Teacher starts a list of different polynomials classified by degree and by number of terms
 Ex. 1: Classifying Polynomials a) 9+(x^3) b) (x^3)-2(x^2)-3(x^4) c) 2x+10 Ex.2: Comparing Models Using a graphing calculator, determine whether a linear, quadratic, or cubic model best fits the values in the table. (0,2.8) (2,5) (4,6) (6,5.5) (8,4) Ex. 3: Word Problem The table shows datd on the number of employees that a small company had from 1975 to 2000. Find a cubic function to model the data. Use it to estimate the number of employees in 1998. (1975,60) (1980,65) (1985,70) (1990,60) (1995,55) (2000,64)
 different color, visual and verbal explanations and directions, technology
Checking For Understanding:
 -Teacher will ask students to remind him/her how to find a model of data -Teacher will ask student question throughout the lecture to gauge student understanding -Teacher will assign homework to give students practice and to use as assessment
 -Teacher gives homework assignment -Teacher reminds students to do calculator problems first if they don't have a graphing calculator -Teacher reminda students to show all work

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