Trousdale County Schools Focused Lesson Plan 2015-16 Teacher: SEden Unit Name: Polynomials/Functions Unit #:1 Unit Length: Week 2 Week ____ of ______ Subject: Algebra II / Integrated II Tennessee State Standard(s) to be taught: (Write the entire standard) (A-SSE) Interpret the structure of expressions 2. Use the structure of an expression to identify ways to rewrite it. For example, see x4 – y4 as (x2) 2 – (y2) 2, thus recognizing it as a difference of squares that can be factored as (x2 – y2)(x2 + y2). (A-APR) Use polynomial identities to solve problems 4. Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x2 + y2) 2 = (x2 – y2) 2 + (2xy) 2 can be used to generate Pythagorean triples. 1. Write a function that describes a relationship between two quantities.★ a. Determine an explicit expression, a recursive process, or steps for calculation from a context. b. Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.★ Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions 1 I Can Statements : Multiply polynomials Divide polynomials Create/build polynomials Graph and solve absolute value equations/inequailites Accommodations for students, both regular and special populations : Unit Vocabulary: Sequence Arithmetic Sequence Numerical Symbol Variable Symbol Algebraic Expression Numerical Expression Polynomial Expression Monomial 11 These are terms and symbols students have seen previously. Module 1: Polynomial, Rational, and Radical Relationships Degree of a Monomial Binomial Trinomial Coefficient of a Monomial Terms of a Polynomial Like Terms of a Polynomial Standard Form of a Polynomial in One Variable Degree of a Polynomial in One Variable Equivalent Polynomial Expressions Polynomial Identity Function Polynomial Function Degree of a Polynomial Function Constant Function Linear Function Quadratic Function Resources, Technology, Formative and/or Daily Agenda Summative Assessments, Assignments, and a Daily Activity for citing text based evidence in conversations and/or writing Monday Algebra II Finish Multiplying Polynomials – Through generalizations Start Problem set questions and give some review work over section one for their quiz tomorrow. Problem Set Problem Set Integrated II Work on solving absolute inequalities – graphically and algebraically Word problems in small groups and review for a quiz 2 Tuesday Algebra II Quiz over Lesson 1 – finding differences and building polynomials Finish the problem set from lesson 2 Quiz Quiz Integrated II Quiz over absolute value Equations, inequalities, graphing, word problems Wednesday Algebra II Exit ticket Dividing Polynomials (long and synthetic division) Integrated II Module 1 – Domain and Range of Functions Thursday Algebra II Problem Set Working with dividing polynomials Integrated II Outside resources – finding domain and range of functions More work on finding Domain and Range of Functions Friday – NO SCHOOL – YOUTH FAIR Algebra II Integrated II 3