8.F.B.4

Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

 
47 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.

 
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Resources (19)
 
Reflections (2)
linear function pic
   

The Most Annoying Sound on Earth

8th Grade Math » Unit: Scale of the Universe: Making Sense of Numbers
8th Grade Math » Unit: Scale of the Universe: Making Sense of Numbers
Shaun Errichiello
New York, NY
Environment: Urban
 
Big Idea:

Sounds are often measured on a logarithmic decibel scale and are a perfect context for an investigation into exponents and scientific notation

 
Favorites (13)
 
Resources (46)
 
Reflections (1)
copy of 00 mosquito at 20 dbs
   

Slope Intercept Scenarios

8th Grade Math » Unit: Relationships between Quantities/Reasoning with Equations
8th Grade Math » Unit: Relationships between Quantities/Reasoning with Equations
Mauricio Beltre
Orlando, FL
Environment: Urban
 
Big Idea:

Real world situations like cell phone plan situations, savings accounts, or car rental scenarios can be modeled with linear equations in order to make predictions.

 
Favorites (41)
 
Resources (11)
image slopeinterceptform
   

Graphing Linear Functions Using Given Information

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

Students calculate slope and y-intercept before graphing a linear function on a coordinate plane.

 
Favorites (24)
 
Resources (17)
 
Reflections (2)
equation of a line
   

What is a Function?

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

Students will identify whether a relation is a function by examining its inputs and outputs or with the vertical line test.

 
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Resources (18)
 
Reflections (2)
soda machine cropped
   

Are you smarter review

8th Grade Math » Unit: INTERPRETING AND COMPARING LINEAR FUNCTIONS
8th Grade Math » Unit: INTERPRETING AND COMPARING LINEAR FUNCTIONS
Jeff Li MTP
New York, NY
Environment: Urban
 
Big Idea:

Are you smarter than an 8th grader? Based on the popular TV series, it's kids vs. a teacher (it could be the music teacher, the English teacher, whomever) in a battle over prowess in 8th grade mathematics.

 
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4 19 image are you smarter
   

Assessment #9 - Linear Functions Unit Assessment

8th Grade Math » Unit: INTERPRETING AND COMPARING LINEAR FUNCTIONS
8th Grade Math » Unit: INTERPRETING AND COMPARING LINEAR FUNCTIONS
Jeff Li MTP
New York, NY
Environment: Urban
 
Big Idea:

Test time!

 
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Resources (12)
 
Reflections (1)
4 20 image math test cartoon
   

Construct functions to model linear relationships I

8th Grade Math » Unit: INTERPRETING AND COMPARING LINEAR FUNCTIONS
8th Grade Math » Unit: INTERPRETING AND COMPARING LINEAR FUNCTIONS
Jeff Li MTP
New York, NY
Environment: Urban
 
Big Idea:

Math is life! Over the course of 4 days, students construct linear functions to model real-life situations... ordering T-shirts, taking cabs, visiting carnivals, and many other contexts.

 
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Resources (14)
 
Reflections (1)
download 4
   

Construct functions to model linear relationships II

8th Grade Math » Unit: INTERPRETING AND COMPARING LINEAR FUNCTIONS
8th Grade Math » Unit: INTERPRETING AND COMPARING LINEAR FUNCTIONS
Jeff Li MTP
New York, NY
Environment: Urban
 
Big Idea:

What if the problem doesn't tell you the initial value? Can you still construct a function that models a linear relationship?

 
Favorites (1)
 
Resources (11)
download 4
   

Construct functions IV

8th Grade Math » Unit: INTERPRETING AND COMPARING LINEAR FUNCTIONS
8th Grade Math » Unit: INTERPRETING AND COMPARING LINEAR FUNCTIONS
Jeff Li MTP
New York, NY
Environment: Urban
 
Big Idea:

The trickiest day of constructing functions - kids have to see data in a problem as points on a line. Requires some very high-order thinking!

 
Favorites (1)
 
Resources (13)
 
Reflections (1)
download 4
   

Construct functions III

8th Grade Math » Unit: INTERPRETING AND COMPARING LINEAR FUNCTIONS
8th Grade Math » Unit: INTERPRETING AND COMPARING LINEAR FUNCTIONS
Jeff Li MTP
New York, NY
Environment: Urban
 
Big Idea:

Push kids to really interpret the meaning of slope and initial value in real-life contexts. This is tricky stuff, so kids need lots of practice.

 
Resources (13)
 
Reflections (1)
download 4
   

Day Four & Five

8th Grade Math » Unit: Welcome Back!
8th Grade Math » Unit: Welcome Back!
Heather Sparks
Oklahoma City, OK
Environment: Urban
 
Big Idea:

To help guide instruction for the year and establish a baseline for quarterly benchmark assessments, students will take a benchmark test aligned to the CCSS.

 
Favorites (12)
 
Resources (8)
 
Reflections (1)
graph
   

The Tablet Wars: Comparing Linear Functions in Different Representations

Algebra I » Unit: Everything is Relative: Linear Functions
Algebra I » Unit: Everything is Relative: Linear Functions
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

Students make the connections between different representations of linear functions to analyze profit trends for different companies selling tablets!

 
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Resources (18)
 
Reflections (1)
copy of class activity tablet wars comparing multiple representations of linear
   

Understand Time-Distance Graphs

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

Catch students making a common mistake as they interpret time-distance graphs... who wins the race?

 
Favorites (12)
 
Resources (18)
 
Reflections (1)
3 3 image
   

The Basics of Coordinate Geometry

Geometry » Unit: Coordinate Geometry
Geometry » Unit: Coordinate Geometry
Beth Menzie
Amsterdam, NY
Environment: Urban
 
Big Idea:

Moving Geometry onto the coordinate plane. Let's investigate midpoints, slope, and distance!

 
Favorites (9)
 
Resources (19)
image basics of coord
Common Core Math
 
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