HSF-IF.C.8a

Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.

 
50 Lesson(s)
   

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.

 
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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.

 
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Resources (13)
 
Reflections (1)
unit checklist
   

Features of a Parabola

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

Students finish up the Quadratic Functions Gallery Walk and begin to spot connections between where the roots and where the vertex are located.

 
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Resources (18)
 
Reflections (1)
u6 l9 example graph and table
   

Quadratic Functions Review and Portfolio

12th Grade Math » Unit: More Abstract Work with Quadratic Functions
12th Grade Math » Unit: More Abstract Work with Quadratic Functions
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

What are the key ideas and skills of this unit? What do you most need to review or understand better?

 
Favorites (1)
 
Resources (7)
gravity parabola
   
Algebra I » Unit: Quadratic Functions
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

This fast-paced lesson introduces multiplication of binomials and factoring of quadratic expressions for the first time, which sets students up to explore both in depth over the next few days.

 
Favorites (11)
 
Resources (22)
 
Reflections (1)
u6 l3 big idea for slt 601 ii
   

Can You Factor It?

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

Students make a list of perfect squares before keep a close watch to see where these special numbers pop up!

 
Favorites (5)
 
Resources (21)
 
Reflections (1)
u6 l4 what do you notice
   

A Faster Way to Graph a Parabola

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

A neat but informally defined relationship between the roots and the vertex saves time now and lays foundations for a study of completing the square and the quadratic formula.

 
Favorites (4)
 
Resources (18)
 
Reflections (1)
u6 l10 notes from opener
   

Finding Vertices of Parabolas

12th Grade Math » Unit: More Abstract Work with Quadratic Functions
12th Grade Math » Unit: More Abstract Work with Quadratic Functions
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

Why is finding the vertex of a parabola useful? How can you find the vertex when the function rule is written different ways?

 
Favorites (4)
 
Resources (13)
graph analysis
   

Finishing Five Point Graphs

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

A focus on special cases can reveal a lot about the fascinating behavior of quadratic functions.

 
Favorites (2)
 
Resources (15)
 
Reflections (1)
five points crop and resize
   

More 4-Column Data Tables

12th Grade Math » Unit: More Abstract Work with Quadratic Functions
12th Grade Math » Unit: More Abstract Work with Quadratic Functions
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

What happens when we remove the two middle columns? Students develop a method to solve problems with even less information given than the day before.

 
Resources (12)
filling in data tables 2 ways
   

Profit Maximization

12th Grade Math » Unit: More Abstract Work with Quadratic Functions
12th Grade Math » Unit: More Abstract Work with Quadratic Functions
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

What happens to the number of customers as you increase the price of the item? How does this affect your profit?

 
Resources (12)
profit maximization student work
   

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
   

Applying Data Tables to Word Problems

12th Grade Math » Unit: More Abstract Work with Quadratic Functions
12th Grade Math » Unit: More Abstract Work with Quadratic Functions
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

Now that students have studied quadratic data patterns in depth, extend their understanding to word problems that require them to turn functions into equations.

 
Favorites (1)
 
Resources (13)
data tables word problems
   

Quadratic Data Tables

12th Grade Math » Unit: More Abstract Work with Quadratic Functions
12th Grade Math » Unit: More Abstract Work with Quadratic Functions
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

What properties of a quadratic function can be observed in a data table? How many data points on the graph of a quadratic function do you need to be able to find a function to fit the data?

 
Favorites (1)
 
Resources (10)
data table analysis
   

Investigating Profit with Products

12th Grade Math » Unit: More Abstract Work with Quadratic Functions
12th Grade Math » Unit: More Abstract Work with Quadratic Functions
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

Look at a different type of problem-- one that has important similarities to and differences from the constant sum and difference problems -- to allow students to ask the question themselves.

 
Resources (12)
 
Reflections (1)
prom ticket data table student work
Common Core Math
 
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