HSF-IF.B.5

Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.*

 
76 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
   

Slope as a Rate of Change - Day 1 of 2

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

This real-life application will help students develop the meaning of the slope concept.

 
Favorites (18)
 
Resources (14)
rate of change image
   

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
   

Transformation of Polynomial Functions

Algebra II » Unit: Polynomial Functions
Algebra II » Unit: Polynomial Functions
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

Models support conceptual understanding of function transformations. From cube to cubic!

 
Resources (30)
 
Reflections (2)
image transformation of polynomial functions
   

The Lumber Model Problem

Algebra II » Unit: Cubic Functions
Algebra II » Unit: Cubic Functions
Jacob Nazeck
Fort Collins, CO
Environment: Suburban
 
Big Idea:

In many cases, polynomial functions are ideal mathematical models that support quantitative and abstract reasoning.

 
Favorites (3)
 
Resources (12)
 
Reflections (1)
800px logging in finnish lapland
   

Discrete and Continuous Functions

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

Discrete situations can be modeled by functions that are continuous. The domain and range help to determine how the graph of a function will appear.

 
Favorites (9)
 
Resources (12)
discrete continuous image
   

More with Piecewise Functions

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

Understanding the domain of a piecewise function is essential to being able to graph it.

 
Favorites (4)
 
Resources (15)
 
Reflections (1)
more w piecewise
   

Using Points to Determine the Shape of a Graph

Algebra I » Unit: Linear and Exponential Functions
Algebra I » Unit: Linear and Exponential Functions
James Dunseith
Worcester, MA
Environment: Urban
 
Big Idea:

In order to get a broad picture of functions and their graphs, we go a bit beyond just the linear and exponential functions that are the foci of this unit.

 
Resources (8)
u4 l9 opener notes
   

Functions Unit Assessment

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

Now is the chance to show off what you know about functions.

 
Favorites (5)
 
Resources (6)
 
Reflections (1)
function test image resized
   

Evaluating Functions Day 2

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

Students who understand functions well can make connections between the graph of a function and the equation of the function.

 
Favorites (2)
 
Resources (15)
 
Reflections (1)
evaluate functions2 image
   

Slope as a Rate of Change - Day 2 of 2

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

Students debrief a lesson on slope as a rate of change by investigating each other's work.

 
Favorites (7)
 
Resources (10)
rate of change2 image
   
Algebra I » Unit: Everything is Relative: Linear Functions
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

Students model the many adventures of hobbit Frodo Baggins while exploring the concept of domain AND learning how to graph piece-wise functions!

 
Favorites (3)
 
Resources (30)
 
Reflections (3)
map middle earth
   

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
   

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
Common Core Math
 
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