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Algebra II

(7 Units, 80 Lessons)

Unit 3 - Polynomial Functions and Expressions(16 Lessons)

Introduction to Polynomials

Algebra II

» Unit:

Polynomial Functions and Expressions

Big Idea:Remember linear and quadratic expressions from Algebra 1? These are both part of a larger set called polynomial expressions. Operations with polynomial expressions are a lot like operations with integers.

16 Resources

9 Favorites

16 Resources

9 Favorites

Seeing Structure in Expressions - Factoring GCF's and Quadratics

Algebra II

» Unit:

Polynomial Functions and Expressions

Big Idea:The same polynomial expression can be presented in several ways; "factoring" an expression means to write it as a product.

21 Resources

7 Favorites

21 Resources

7 Favorites

Connecting Polynomials to Sequences

Algebra II

» Unit:

Polynomial Functions and Expressions

Big Idea:There are connections between sequences and polynomials. Sometimes the explicit form of a sequence is a polynomial function.

19 Resources

2 Favorites

19 Resources

2 Favorites

Connecting Polynomials to Geometric Series

Algebra II

» Unit:

Polynomial Functions and Expressions

Big Idea:There are connections between series and polynomials. The geometric series formula can be derived from a polynomial identity.

19 Resources

1 Favorites

19 Resources

1 Favorites

Quadratic Functions: Standard and Intercept Forms

Algebra II

» Unit:

Polynomial Functions and Expressions

Big Idea:Quadratic functions are graphed as parabolas; how we go about creating the graph depends on which form the function is written in.

21 Resources

17 Favorites

21 Resources

17 Favorites

Quadratic Functions: Vertex Form

Algebra II

» Unit:

Polynomial Functions and Expressions

Big Idea:Quadratic functions are graphed as parabolas; how we go about creating the graph depends on which form the function is written in.

22 Resources

7 Favorites

22 Resources

7 Favorites

Flexibility with Quadratic Functions

Algebra II

» Unit:

Polynomial Functions and Expressions

Big Idea:Graphing strategies are influenced by the algebraic form of the function (standard, vertex or intercept).

18 Resources

2 Favorites

18 Resources

2 Favorites

Connecting Quadratic Functions and Quadratic Equations

Algebra II

» Unit:

Polynomial Functions and Expressions

Big Idea:We can use the graph or algebraic methods to determine the x-intercepts of a quadratic function. The x-intercepts can be rational or irrational.

22 Resources

5 Favorites

22 Resources

5 Favorites

Solving Quadratic Equations

Algebra II

» Unit:

Polynomial Functions and Expressions

Big Idea:Its important to be flexible in solving quadratic equations. Some equations lend themselves to factoring or completing the square while others are best tackled with the Quadratic Formula.

17 Resources

9 Favorites

17 Resources

9 Favorites

Quadratic Performance Task

Algebra II

» Unit:

Polynomial Functions and Expressions

Big Idea:Flexibility with quadratic functions is put to the test in this puzzle-like quadratic performance task. Various starting points are provided and the goal is to represent each function in all ways we have studied.

11 Resources

12 Favorites

11 Resources

12 Favorites

Quadratic Modeling (DAY 1)

Algebra II

» Unit:

Polynomial Functions and Expressions

Big Idea:Objects launched into the air follow a curve that can be described with a quadratic function. Modeling with a quadratic function allows us to predict the path of the object.

17 Resources

12 Favorites

17 Resources

12 Favorites

Quadratic Modeling (DAY 2)

Algebra II

» Unit:

Polynomial Functions and Expressions

Big Idea:Quadratic functions can help us solve problems involving projectiles, area, numbers and financial situations.

18 Resources

3 Favorites

18 Resources

3 Favorites

Quadratic Modeling (DAY 3)

Algebra II

» Unit:

Polynomial Functions and Expressions

Big Idea:How do large vehicles determine how wide to take the turns so they don't run over sidewalks and bike lanes? The math behind these calculations involves quadratic equations!

19 Resources

4 Favorites

19 Resources

4 Favorites

Quadratic Modeling (DAY 4)

Algebra II

» Unit:

Polynomial Functions and Expressions

Big Idea:Quadratic functions can help us solve problems involving projectiles, area, numbers and financial situations.

13 Resources

4 Favorites

13 Resources

4 Favorites

Review Workshop: Polynomial Functions and Expressions

Algebra II

» Unit:

Polynomial Functions and Expressions

Big Idea:Tomorrow is the unit test on polynomial functions and expressions. In this lesson, we do more practice with word problems, solving equations, graphing parabolas, and rewriting quadratic functions.

13 Resources

8 Favorites

13 Resources

8 Favorites

Unit Assessment: Polynomial Functions and Expressions

Algebra II

» Unit:

Polynomial Functions and Expressions

Big Idea:Show that you are able to rewrite and classify polynomial expressions, use quadratic equations to solve problems, and express quadratic functions in various forms.

6 Resources

3 Favorites

6 Resources

3 Favorites