HSA-REI.B.4

Solve quadratic equations in one variable.

 
35 Lesson(s)
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Finding Roots of All Sorts

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

 
Favorites (4)
 
Resources (24)
 
Reflections (1)
u6 l5 sw can you factor it i p1
   

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
   

Review or Move On (to the Quadratic Formula)

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

 
Favorites (2)
 
Resources (21)
 
Reflections (1)
u6 l19 quadratic formula
   

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
   

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
   

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
   

Completing the Square Day 1

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

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

 
Favorites (3)
 
Resources (18)
complete the square day1 image resizsed
   

Introduction to 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 use modeling and technology as tools to come to a deeper understanding of quadratic functions using real life contexts!

 
Favorites (42)
 
Resources (25)
 
Reflections (2)
ancient roman triumphal arch of medinaceli spain
   

Interpreting and Graphing 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 interpret key features of quadratics in real-life contexts to see the value of modeling and power of quadratics!

 
Favorites (10)
 
Resources (19)
 
Reflections (3)
gateway arch
   

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

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 learn to graph different types of functions AND compare and contrast key features of families of functions!

 
Favorites (7)
 
Resources (16)
 
Reflections (1)
graphing functions resized
   

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
   

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

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.

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.

Common Core Math
 
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