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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.

Review or Move On (to the Quadratic Formula)

Algebra I

» Unit:

Quadratic Functions

Big Idea:After two quick review tasks, today's lesson is all about giving kids time and space to complete the work of their choice.

Moving Toward Mastery: Completing the Square (Day 1)

Algebra I

» 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

» 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!

Solving Quadratic Trig Equations (Day 1 of 2)

12th Grade Math

» Unit:

Trigonometric Equations

Big Idea:The class works together to review methods of solving quadratic equations and make connections to quadratic trig equations.

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.

Completing the Square Day 1

Algebra I

» Unit:

Quadratic Functions

Big Idea:Completing the square can serve as a valuable technique when factoring a polynomial over the integers is not possible.

Introduction to Quadratic Functions

Algebra I

» Unit:

Interpret and Build Quadratic Functions and Equations

Big Idea:Students use modeling and technology as tools to come to a deeper understanding of quadratic functions using real life contexts!

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!

Graphing Functions: Lines, Quadratics, Square and Cube Roots (and Absolute Values)

Algebra I

» Unit:

Interpret and Build Quadratic Functions and Equations

Big Idea:Students learn to graph different types of functions AND compare and contrast key features of families of functions!

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!

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.

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!

Quadratic Function Jigsaw

12th Grade Math

» Unit:

Polynomial and Rational Functions

Big Idea:Use a jigsaw grouping technique to review quadratic functions.

HSA-REI.B.4a

Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)^{2} = q that has the same solutions. Derive the quadratic formula from this form.

HSA-REI.B.4b

Solve quadratic equations by inspection (e.g., for x^{2} = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.