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- HSA-SSE.B.3Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.*
- HSA-SSE.B.4Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. For example, calculate mortgage payments.â

- HSA-SSE.B.3aFactor a quadratic expression to reveal the zeros of the function it defines.
- HSA-SSE.B.3bComplete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.
- HSA-SSE.B.3cUse the properties of exponents to transform expressions for exponential functions. For example the expression 1.15<sup>t</sup> can be rewritten as (1.15<sup>1/12</sup>)<sup>12t</sup> â 1.012<sup>12t</sup> to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.

Review Workshop: Polynomial Functions and Expressions

Algebra II

Â» 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.

Ellipses

12th Grade Math

Â» Unit:

Conic Sections

Big Idea:After learning to write the equation of an ellipse, students design an elliptical pool table that would guarantee that even the worst player can always make a shot.

Moving Toward Mastery: Completing the Square (Day 1)

Algebra I

Â» Unit:

Quadratic Functions

Big Idea:There are uses for completing the square: first, as it relates to vertex form and graphing parabolas, and second as it relates to solving quadratic equations. Today, we'll get at both.

Moving Toward Mastery: Completing the Square (Day 2)

Algebra I

Â» Unit:

Quadratic Functions

Big Idea:Students will continue to see that graphing quadratic equations and solving them work in tandem: the better we understand one, the more sense the other will make!

Quadratic Functions in Three Forms

Algebra I

Â» Unit:

Quadratic Functions

Big Idea:An brief adventure in number theory provides some background knowledge for completing the square, then students get to practice manipulating quadratic expressions in different forms.

Building Quadratic Functions: f(x), kf(x) and f(kx)

Algebra I

Â» Unit:

Interpret and Build Quadratic Functions and Equations

Big Idea:Students use technology to construct their own understanding of different operations on the graph of quadratic functions!

Performance Task: Pulling It Together with Quadratics

Algebra I

Â» Unit:

Interpret and Build Quadratic Functions and Equations

Big Idea:Students integrate concepts learned about quadratic equations and functions to analyze models and make recommendations for maximizing profit on the sale of smart phones.

Unit Assessment: Quadratic Functions and Equations

Algebra I

Â» Unit:

Interpret and Build Quadratic Functions and Equations

Big Idea:Students complete a unit assessment aligned to unit standards - provides excellent data source for teacher's to adjust and refine their curriculum and instruction!

Factoring and Completing the Square to Find Zeros

Algebra I

Â» Unit:

Interpret and Build Quadratic Functions and Equations

Big Idea:Quadratic expressions are reformatted by integrating background knowledge in factoring polynomials and graphing functions!

Forming Quadratics: Math Assessment Project Classroom Challenge

Algebra I

Â» Unit:

Interpret and Build Quadratic Functions and Equations

Big Idea:Students complete engaging activities to assess their ability and level of understanding surrounding comparing and forming quadratic fucntions.

The Three Musketeers: Simplifying the Quadratic Formula

Algebra I

Â» Unit:

Interpret and Build Quadratic Functions and Equations

Big Idea:Just like the Three Musketeers, the three pieces of the quadratic formula stick together, and work together to find solutions!

Quadratic Quandaries: Modeling with Quadratic Functions

Algebra I

Â» Unit:

Interpret and Build Quadratic Functions and Equations

Big Idea:Students complete a number of application problems related to quadratic functions and create their own Quadratic Quandary!

Quadratic Functions: Vertex Form

Algebra II

Â» 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.

Unit Assessment: Polynomial Functions and Expressions

Algebra II

Â» 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.

Rearranging and Graphing Quadratics

Algebra I

Â» Unit:

Interpret and Build Quadratic Functions and Equations

Big Idea:This jigsaw lessons lets students dive deep into one connection between quadratic equations and graphs, and then learn from each other in mixed groups!

HSA-SSE.B.3a

Factor a quadratic expression to reveal the zeros of the function it defines.

HSA-SSE.B.3b

Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.

HSA-SSE.B.3c

Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15^{t} can be rewritten as (1.15^{1/12})^{12t} â 1.012^{12t} to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.