HSF-IF.C.7a

Graph linear and quadratic functions and show intercepts, maxima, and minima.

 
122 Lesson(s)
   

Writing Linear Equations (Day 1 of 2)

Algebra I » Unit: Linear & Absolute Value Functions
Algebra I » Unit: Linear & Absolute Value Functions
Noelani Davis
Washington, DC
Environment: Urban
 
Big Idea:

Students will analyze the different components of slope intercept form, and the purpose of each component in the entire equation.

 
Favorites (25)
 
Resources (19)
 
Reflections (2)
linear function pic
   

Linear Functions

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

Linear functions can be used to model how a changing quantity is represented in both the graph and equation of a function.

 
Favorites (10)
 
Resources (16)
linear functions1 image
   

Writing the Equation of A Linear Function (Day 2 of 2)

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

This lesson allows students to understand how to use slope to write an explicit formula for a linear function.

 
Favorites (7)
 
Resources (15)
writing linear equations2 image
   

Building Connections: Building Polynomials (Day 1 of 2)

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

Love, love, love(!) this lesson from NCTM where students build a polynomial function based on linear factors.

 
Favorites (8)
 
Resources (23)
 
Reflections (1)
building polynomials pic
   

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
   

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.

 
Favorites (3)
 
Resources (18)
 
Reflections (1)
u6 l9 example graph and table
   

What's In an Intersection?

Algebra I » Unit: Systems of Equations
Algebra I » Unit: Systems of Equations
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

The "closeness" of one graph to another matches the accuracy of a guess and a check.

 
Favorites (2)
 
Resources (16)
 
Reflections (1)
u5 l3 desmos sketch on board first
   

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
   

What if We Start With the Axis of Symmetry?

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

An investigation of the relationship between the discriminant and the axis of symmetry lays foundations for students to understand the quadratic formula.

 
Favorites (1)
 
Resources (26)
 
Reflections (1)
u6 l13 five point graph example
   

How Does a Parabola Grow?

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

It's not so much about the shortcut as it is about the structure it reveals!

 
Favorites (1)
 
Resources (16)
 
Reflections (1)
heres a shortut reized
   

Writing in Math Classroom, Part 1: Functions and Linear Functions

Algebra I » Unit: Its Not Always a Straight Answer: Linear Equations and Inequalities in 1 Variable
Algebra I » Unit: Its Not Always a Straight Answer: Linear Equations and Inequalities in 1 Variable
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

Students score sample MCAS open responses in groups as an entry point to understanding and reflecting on their own writing!

 
Favorites (1)
 
Resources (15)
pic writing math part 1
   

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
   

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
   

Graphing Lines and Getting Stuff Done

Algebra I » Unit: Systems of Equations
Algebra I » Unit: Systems of Equations
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

A little over a week into a systems unit, it's important to take a little time to meet kids where they are and assess where they're at. Today's work will serve as a springboard to the next few days.

 
Favorites (2)
 
Resources (13)
 
Reflections (1)
u5 l7 quiz solutions
Common Core Math
 
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