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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.★

- 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> ≈ 1.012<sup>12t</sup> to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.

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.

Finding Roots of All Sorts

Algebra I

» Unit:

Quadratic Functions

Big Idea:In this fast-paced lesson, students are introduced to as many ideas as they can handle, while also being given space to make their own sense of those ideas.

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.

Area Models for Multiplying Polynomials and Factoring Quadratic Expressions

Algebra I

» Unit:

Quadratic Functions

Big Idea:This fast-paced lesson introduces multiplication of binomials and factoring of quadratic expressions for the first time, which sets students up to explore both in depth over the next few days.

Factoring Trinomials

Algebra I

» Unit:

Polynomial Expressions

Big Idea:This lesson will help students extend their understanding of multiplying and factoring to polynomial expressions.

More with Factoring Trinomials

Algebra I

» Unit:

Polynomial Expressions

Big Idea:This lesson will allow students to gain understanding about factoring trinomials by looking at the structure of the trinomial.

Can You Factor It?

Algebra I

» Unit:

Quadratic Functions

Big Idea:Students make a list of perfect squares before keep a close watch to see where these special numbers pop up!

Quadratic Functions in Three Forms

Algebra I

» 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.

Solve quadratics by factoring - varied

8th Grade Math

» Unit:

QUADRATIC FUNCTIONS

Big Idea:Get students to be fluent in solving quadratic equations by factoring by providing them with a variety of examples.

Interpreting and Graphing Quadratic Functions

Algebra I

» Unit:

Interpret and Build Quadratic Functions and Equations

Big Idea:Students interpret key features of quadratics in real-life contexts to see the value of modeling and power of quadratics!

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

Algebra I

» 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!

Unit Assessment on Quadratic Functions

8th Grade Math

» Unit:

QUADRATIC FUNCTIONS

Big Idea:Assess and analyze! Understand if your kids truly mastered this unit on quadratic functions.

Performance Task: Pulling It Together with Quadratics

Algebra I

» 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.

Roller Coaster Polynomials

12th Grade Math

» Unit:

Polynomial Functions and Equations

Big Idea:Working in teams, students use their polynomial knowledge to analyze and describe various roller coasters.

Unit Assessment: Quadratic Functions and Equations

Algebra I

» 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!

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} ≈ 1.012^{12t} to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.