HSA-REI.B.4b

Solve quadratic equations by inspection (e.g., for x2 = 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.

 
35 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
   

Solving Quadratics by Factoring-Day 1

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

Factoring can be used as a tool to examine the structure of an equation.

 
Favorites (14)
 
Resources (13)
 
Reflections (1)
solving quadratics by factoring day1 image
   

Solving Quadratic Trig Equations (Day 1 of 2)

12th Grade Math » Unit: Trigonometric Equations
12th Grade Math » Unit: Trigonometric Equations
Tiffany Dawdy
Phoenix, AZ
Environment: Urban
 
Big Idea:

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

 
Favorites (1)
 
Resources (31)
 
Reflections (4)
student solutions to algebraic form
   

The Pythagorean Theorem and the Distance Formula

Algebra I » Unit: Radical Expressions, Equations, and Rational Exponents
Algebra I » Unit: Radical Expressions, Equations, and Rational Exponents
Rhonda Leichliter
Rogers, AR
Environment: Rural
 
Big Idea:

The main point of this lesson is for students to recognize the similarities between the Pythagorean Theorem and the Distance Formula.

 
Favorites (2)
 
Resources (11)
compare pythagorean theorem to the distance formula
   

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
   

Puzzling Polynomials and Quizzical Quadratics

12th Grade Math » Unit: Polynomial Functions and Equations
12th Grade Math » Unit: Polynomial Functions and Equations
Tiffany Dawdy
Phoenix, AZ
Environment: Urban
 
Big Idea:

Review polynomial operations with NCTM’s polynomial puzzlers and then practice solving quadratic equations by moving through stations.

 
Favorites (7)
 
Resources (25)
 
Reflections (2)
students working quadratics stations
   

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
   

The Quadratic Formula-Day 1

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

Although it is not as efficient as other methods, the quadratic formula can be used to solve any quadratic equation.

 
Favorites (3)
 
Resources (16)
 
Reflections (1)
quadratic formula image
   

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
   

Solving Quadratics by Factoring-Day 2

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

This lesson allows student to get LOTS of algebraic practice while using technology to build conceptual understanding.

 
Favorites (2)
 
Resources (13)
 
Reflections (1)
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Common Core Math
 
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