8.F.A.3

Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.

 
40 Lesson(s)
   

Analyzing Linear Functions

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

Students analyze different components of slope-intercept form and use their observations to prove statements about lines and points.

 
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Resources (16)
 
Reflections (2)
analyzing linear functions
   

Pay it Forward

8th Grade Math » Unit: Law and Order: Special Exponents Unit
8th Grade Math » Unit: Law and Order: Special Exponents Unit
Shaun Errichiello
New York, NY
Environment: Urban
 
Big Idea:

Exponential growth can have an amazing impact in a small amount of time.

 
Favorites (47)
 
Resources (7)
payitforward1
   

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 (24)
 
Resources (19)
 
Reflections (2)
linear function pic
   

Turtle & Snail Part I : An Introduction to "Rule of Five'

8th Grade Math » Unit: The Fabulous World of Functions
8th Grade Math » Unit: The Fabulous World of Functions
Heather Sparks
Oklahoma City, OK
Environment: Urban
 
Big Idea:

This lesson helps students see relationships between the algebraic representations of a function. The context of the story helps to ground student understanding.

 
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Resources (21)
 
Reflections (2)
rule of 5 cropped
   

Missing coordinates given slope

8th Grade Math » Unit: SLOPE REVISITED
8th Grade Math » Unit: SLOPE REVISITED
Jeff Li MTP
New York, NY
Environment: Urban
 
Big Idea:

You've found slope before, given two points. But what if I gave you one point and the slope? Could you find the other point?

 
Favorites (7)
 
Resources (16)
10 2 image missing coordinates given slope 2 resized
   

Determine missing coordinates given points

8th Grade Math » Unit: SLOPE REVISITED
8th Grade Math » Unit: SLOPE REVISITED
Jeff Li MTP
New York, NY
Environment: Urban
 
Big Idea:

You've found slope before, given two points. But what if I gave you one point and the slope? Could you find the other point?

 
Favorites (2)
 
Resources (15)
image 10 3 cropped
   

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
   

Graph linear functions while solving for "y" first

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 should we do if we encounter an equation that - gasp! -- does not have y isolated? Kids learn how to manipulate the equation into slope-intercept form, without using that vocabulary... yet.

 
Favorites (13)
 
Resources (13)
4 2 ip41 4 2 image
   

Determine if a given point is a solution to a linear function

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:

Is the kid "on the line" or not? :) Get kids to figure out whether a given point is a solution to a linear function by defining what a solution is -- namely, an ordered pair that makes the function true.

 
Favorites (8)
 
Resources (13)
4 3 image
   

Playing with Parabolas - Hands on

8th Grade Math » Unit: Advanced Equations and Functions
8th Grade Math » Unit: Advanced Equations and Functions
Mauricio Beltre
Orlando, FL
Environment: Urban
 
Big Idea:

Students become acquainted with simple quadratic equations! They graph and explore parabolas and gain their first experiences with quadratic function vocabulary and transformations.

 
Favorites (8)
 
Resources (17)
 
Reflections (1)
image
   

Define and determine slope when given points (Part 1)

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:

Ah, good ol' rise over run - forever a classic. Introduce students to the concept of slope in this introductory lesson.

 
Favorites (18)
 
Resources (13)
4 4 image rise over run
   

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.

 
Favorites (5)
 
Resources (6)
4 19 image are you smarter
   

Slope-intercept Form

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:

y = mx + b. The big ideas in 8th grade math don't get much bigger than this one. :) If I could make the font size in this section 1000 point, I would. This is HUGE!

 
Favorites (14)
 
Resources (13)
 
Reflections (1)
desks
   

Find slope in four ways

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 slope only has 4 hiding places... figure out which strategy to use when. Bring it all together... consolidate finding slope from a graph, from a table, from points, and from an equation.

 
Favorites (10)
 
Resources (18)
 
Reflections (2)
4 9 image reszied
   

Fabulous World of Function- Unit Introduction

8th Grade Math » Unit: The Fabulous World of Functions
8th Grade Math » Unit: The Fabulous World of Functions
Heather Sparks
Oklahoma City, OK
Environment: Urban
 
Big Idea:

This lesson lays a strong foundation for the unit by introducing key unit vocabulary as well as the ever-important vertical line test.

 
Favorites (25)
 
Resources (21)
 
Reflections (1)
fwf intro pic
Common Core Math
 
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