HSF-IF.B.4

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.*

 
193 Lesson(s)
   

What is Algebra?

Algebra II » Unit: Modeling with Algebra
Algebra II » Unit: Modeling with Algebra
Jacob Nazeck
Fort Collins, CO
Environment: Suburban
 
Big Idea:

Algebra is built on axioms and definitions and relies on proofs just as much as geometry.

 
Favorites (35)
 
Resources (19)
 
Reflections (2)
al khwarizmi stamp
   

Graphing Systems of Equations

Algebra I » Unit: Making Informed Decisions with Systems of Equations
Algebra I » Unit: Making Informed Decisions with Systems of Equations
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

Students use technology to create and interpret systems of equations graphically!

 
Favorites (14)
 
Resources (25)
 
Reflections (1)
graphing systems pic resized
   

Sketch Graphs I

8th Grade Math » Unit: INTRODUCTION TO FUNCTIONS
8th Grade Math » Unit: INTRODUCTION TO FUNCTIONS
Jeff Li MTP
New York, NY
Environment: Urban
 
Big Idea:

Use an engaging video to get kids to connect a verbal description with a concrete application and an abstract representation. It's a pretty cool video - check it out.

 
Favorites (19)
 
Resources (13)
3 4 image mory video
   

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 (9)
 
Resources (16)
linear functions1 image
   

Solving Systems by Graphing

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

As students gain confidence in graphing - and interpreting the intersection points on - systems of equations, we continue to see how this skill relates to guess and check.

 
Favorites (6)
 
Resources (21)
 
Reflections (1)
u5 l4 key elements of a graph
   

Ahoy again! What can you see now? Building Rational Functions

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

Students use “spyglasses” again to build context around rational functions and begin to develop an understanding of how a rational function behaves.

 
Favorites (2)
 
Resources (31)
 
Reflections (1)
pirate
   

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
   

Modeling With 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 make a connection between real-world phenomena and the average rate of change of a quadratic function.

 
Favorites (13)
 
Resources (15)
falling objects image
   

Logs, Loans, and Life Lessons!

Algebra II » Unit: Exponential and Logarithmic Functions
Algebra II » Unit: Exponential and Logarithmic Functions
Jarod Hammel
Huntington, IN
Environment: Suburban
 
Big Idea:

This engaging lesson weaves together logarithms, loans, and life lessons!

 
Favorites (4)
 
Resources (16)
logs loans and life lessons pic
   

The Overtime Problem

12th Grade Math » Unit: Piecewise Functions
12th Grade Math » Unit: Piecewise Functions
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

Get started thinking about inequalities by looking at real-world, every day examples. Represent these examples in as many different ways as possible.

 
Favorites (3)
 
Resources (19)
 
Reflections (1)
multiple representations
   

Graphing and Writing Equations for Piecewise Functions

12th Grade Math » Unit: Piecewise Functions
12th Grade Math » Unit: Piecewise Functions
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

Now that students have examined real-world examples, ask them to apply this knowledge to more abstract functions.

 
Favorites (3)
 
Resources (11)
 
Reflections (1)
piecewise functions multiple representations
   

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
   
12th Grade Math » Unit: Circles
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

Will the dog be able to reach its bone? Students apply the definition of a circle, along with a method for determining whether or not a point lies on a circle.

 
Favorites (8)
 
Resources (14)
 
Reflections (1)
screenshot 2014 05 13 15 24 12
   

Three Ways to Solve a Problem

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

Over the course of today’s lesson, students will beg for an algebraic solution, understand on their own why it’s great that algebra was invented, and see the beauty of an elegant solution.

 
Favorites (3)
 
Resources (19)
 
Reflections (1)
u5 l9 connect dots and intersection
   

Write Absolute Value Functions as Piecewise Functions

12th Grade Math » Unit: Piecewise Functions
12th Grade Math » Unit: Piecewise Functions
Hilary Yamtich
Oakland, CA
Environment: Urban
 
Big Idea:

Use multiple representations to make connections between two different types of functions.

 
Favorites (2)
 
Resources (12)
absolute value function image resized
Common Core Math
 
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