8-10-15 - Trousdale County Schools

advertisement
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
Download