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.

 
23 Lesson(s)
   

Three Methods of Solving Quadratics and Word Problems

Algebra I » Unit: Quadratic Functions
Algebra I » Unit: Quadratic Functions
James Bialasik
Amherst, NY
Environment: Suburban
 
Big Idea:

The structure of a quadratic equation can help students determine how to solve the equation.

 
Favorites (4)
 
Resources (15)
 
Reflections (1)
three methods of solving resized image
   

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
   

Irrational Zeros of Quadratic Functions

Algebra I » Unit: Quadratic Functions
Algebra I » Unit: Quadratic Functions
James Bialasik
Amherst, NY
Environment: Suburban
 
Big Idea:

This lesson allows students to connect the graphical and algebraic representation of irrational roots of a quadratic function.

 
Favorites (1)
 
Resources (14)
 
Reflections (1)
complete the square day2 image
   

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
   

Quadratic Function Jigsaw

12th Grade Math » Unit: Polynomial and Rational Functions
12th Grade Math » Unit: Polynomial and Rational Functions
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

Use a jigsaw grouping technique to review quadratic functions.

 
Favorites (2)
 
Resources (16)
index
   

Quadratic Equations, Day 2 of 2

Algebra II » Unit: The Complex Number System
Algebra II » Unit: The Complex Number System
Jacob Nazeck
Fort Collins, CO
Environment: Suburban
 
Big Idea:

Knowledge of quadratic equations is an important prerequisite for studying complex numbers.

 
Favorites (2)
 
Resources (19)
 
Reflections (1)
quad graph
   

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
   

Polynomial Function Workshop

12th Grade Math » Unit: Polynomial and Rational Functions
12th Grade Math » Unit: Polynomial and Rational Functions
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

Take a breather and summarize the important concepts involving polynomial functions.

 
Favorites (7)
 
Resources (7)
 
Reflections (1)
untitled
   

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
Common Core Math
 
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