HSA-SSE.B.3b

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

 
23 Lesson(s)
   

Review Workshop: Polynomial Functions and Expressions

Algebra II » Unit: Polynomial Functions and Expressions
Algebra II » Unit: Polynomial Functions and Expressions
Colleen Werner
Ipswich, MA
Environment: Suburban
 
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.

 
Favorites (5)
 
Resources (13)
 
Reflections (1)
unit checklist
   

Ellipses

12th Grade Math » Unit: Conic Sections
12th Grade Math » Unit: Conic Sections
Tiffany Dawdy
Phoenix, AZ
Environment: Urban
 
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.

 
Favorites (5)
 
Resources (19)
ellipitcal pool table
   

Moving Toward Mastery: Completing the Square (Day 1)

Algebra I » Unit: Quadratic Functions
Algebra I » Unit: Quadratic Functions
James Dunseith
Worcester, MA
Environment: Urban
 
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.

 
Favorites (2)
 
Resources (28)
 
Reflections (1)
u6 l17 completing the square for graphing and solving
   

Moving Toward Mastery: Completing the Square (Day 2)

Algebra I » Unit: Quadratic Functions
Algebra I » Unit: Quadratic Functions
James Dunseith
Worcester, MA
Environment: Urban
 
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!

 
Favorites (1)
 
Resources (15)
 
Reflections (1)
u6 l18 graphing example
   

Quadratic Functions in Three Forms

Algebra I » Unit: Quadratic Functions
Algebra I » Unit: Quadratic Functions
James Dunseith
Worcester, MA
Environment: Urban
 
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.

 
Favorites (6)
 
Resources (24)
 
Reflections (3)
u6 l6 sw extension with graphs l14 option p1
   

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

Algebra I » Unit: Interpret and Build Quadratic Functions and Equations
Algebra I » Unit: Interpret and Build Quadratic Functions and Equations
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

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

 
Favorites (1)
 
Resources (19)
 
Reflections (1)
exit ticket manipulating quadratics
   

Performance Task: Pulling It Together with Quadratics

Algebra I » Unit: Interpret and Build Quadratic Functions and Equations
Algebra I » Unit: Interpret and Build Quadratic Functions and Equations
Jason Colombino
Salem, MA
Environment: Urban
 
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.

 
Favorites (13)
 
Resources (10)
smart phones image
   

Unit Assessment: Quadratic Functions and Equations

Algebra I » Unit: Interpret and Build Quadratic Functions and Equations
Algebra I » Unit: Interpret and Build Quadratic Functions and Equations
Jason Colombino
Salem, MA
Environment: Urban
 
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!

 
Favorites (23)
 
Resources (6)
quadratic unit test image
   

Forming Quadratics: Math Assessment Project Classroom Challenge

Algebra I » Unit: Interpret and Build Quadratic Functions and Equations
Algebra I » Unit: Interpret and Build Quadratic Functions and Equations
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

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

 
Favorites (2)
 
Resources (15)
 
Reflections (1)
2013 05 24 10 05 24
   

The Three Musketeers: Simplifying the Quadratic Formula

Algebra I » Unit: Interpret and Build Quadratic Functions and Equations
Algebra I » Unit: Interpret and Build Quadratic Functions and Equations
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

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

 
Favorites (6)
 
Resources (17)
 
Reflections (1)
award winning rfh tower players to present the three musketeers all swash and no buckle
   

Quadratic Quandaries: Modeling with Quadratic Functions

Algebra I » Unit: Interpret and Build Quadratic Functions and Equations
Algebra I » Unit: Interpret and Build Quadratic Functions and Equations
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

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

 
Favorites (2)
 
Resources (26)
 
Reflections (3)
parabola ski
   

Factoring and Completing the Square to Find Zeros

Algebra I » Unit: Interpret and Build Quadratic Functions and Equations
Algebra I » Unit: Interpret and Build Quadratic Functions and Equations
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

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

 
Favorites (3)
 
Resources (19)
 
Reflections (1)
factoring and completing image
   

Quadratic Functions: Vertex Form

Algebra II » Unit: Polynomial Functions and Expressions
Algebra II » Unit: Polynomial Functions and Expressions
Colleen Werner
Ipswich, MA
Environment: Suburban
 
Big Idea:

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

 
Favorites (2)
 
Resources (22)
 
Reflections (1)
quick poll
   

Unit Assessment: Polynomial Functions and Expressions

Algebra II » Unit: Polynomial Functions and Expressions
Algebra II » Unit: Polynomial Functions and Expressions
Colleen Werner
Ipswich, MA
Environment: Suburban
 
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.

 
Favorites (3)
 
Resources (6)
 
Reflections (1)
unit assessment polynomial functions and
   

Rearranging and Graphing Quadratics

Algebra I » Unit: Interpret and Build Quadratic Functions and Equations
Algebra I » Unit: Interpret and Build Quadratic Functions and Equations
Jason Colombino
Salem, MA
Environment: Urban
 
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!

 
Favorites (1)
 
Resources (21)
 
Reflections (2)
rearranging replacement image
Common Core Math
 
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