HSF-IF.B.6

Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.*

 
40 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
   

Patio Problem: Sequences and Functions

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

Arithmetic sequences can be modeled by linear functions that both have the same common difference.

 
Favorites (21)
 
Resources (9)
 
Reflections (1)
patio design image
   

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
   

What Goes Up, Day 1 of 3

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

Projectile motion provides context for average rates of change in the context of velocity and acceleration. What goes up...

 
Favorites (27)
 
Resources (23)
 
Reflections (3)
slingshot
   

Super Mario's (almost) Linear World

8th Grade Math » Unit: Linear Regression
8th Grade Math » Unit: Linear Regression
Shaun Errichiello
New York, NY
Environment: Urban
 
Big Idea:

We can apply our understanding of linear functions to model things that are almost linear.

 
Favorites (18)
 
Resources (14)
27 seconds
   

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
   

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
   

Get Perpendicular with Geoboards!

Algebra I » Unit: Linear Functions
Algebra I » Unit: Linear Functions
Rhonda Leichliter
Rogers, AR
Environment: Rural
 
Big Idea:

Students reason about Perpendicular Lines with simple concrete examples using Geoboards and extend their reasoning to designing parking lines.

 
Favorites (2)
 
Resources (17)
 
Reflections (1)
working with geoboards
   

Rate of Change

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

Students will develop their understanding of rate of change by exploring real world contexts.

 
Favorites (30)
 
Resources (19)
 
Reflections (1)
rate of change day1 image
   

Graphing Linear Functions Using Tables

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

Using a table can reveal the common difference of an arithmetic sequence.

 
Favorites (4)
 
Resources (16)
tables linear functions image
   

"Demystifying e" Day #1

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

This lesson mixes the ingredients of lecture, investigation, application, and a touch of creativity to “Demystify e”!

 
Favorites (4)
 
Resources (12)
e
   

Graph Linear Equations Practice

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

There is a variety of ways to graph linear equations. The structure of an equation can make one method better than another.

 
Favorites (3)
 
Resources (14)
 
Reflections (1)
graph linear equations practice 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
   

Arithmetic Sequences Day 3

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

Given any two terms in an arithmetic sequences students can use patterns to find the explicit formula.

 
Favorites (3)
 
Resources (17)
 
Reflections (1)
arith sequences day 3 new image
Common Core Math
 
Something went wrong. See details for more info
Nothing to upload
details
close