8.F.A.2

Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.

 
39 Lesson(s)
   

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.

 
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payitforward1
   

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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Reflections (2)
rule of 5 cropped
   

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.

 
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image
   

Linear vs Quadratic (Day 1 of 2)

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

Linear and Quadratic functions can be used to model real world problems.

 
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image linear vs quad
   

Linear vs Quadratic (Day 2 of 2)

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 compare functions by computing first and second differences of output values and analyzing graphs.

 
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Reflections (1)
image linear vs quadratic day2
   

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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Reflections (2)
soda machine cropped
   

Domain and Range

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

Students will use real world examples to solidify their understanding of continuous and discrete inputs and outputs.

 
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Resources (19)
 
Reflections (2)
domain range
   

Function Notation

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 use of function notation when describing what is happening in a function.

 
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Resources (17)
 
Reflections (2)
function notation
   

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
   

Compare 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:

The culmination of this unit! Brings all the skills necessary around slope, connecting real-life situations to linear functions, and then comparing them. Great problem-solving day that requires a ton of logic.

 
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Reflections (1)
4 18 image
   

Introducing Functions

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

To use the concrete example of (pieces of furniture, room location) to develop deeper student understanding of a function that leads to quantitative examples.

 
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Reflections (1)
pieces of furniture
   

Slope & Rate of Change

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

Students will interpret the rate of change in the context of a problem, and use it to make predications about a situation that shows linear growth.

 
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Resources (14)
 
Reflections (1)
fullsizerender 2
   

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.

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

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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Reflections (1)
4 20 image math test cartoon
   

Compare slopes of functions 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:

A HUGE Common Core Standard - compare rates of change across linear functions represented in different ways. Students compare slopes of graphs, tables, equations, points, and concrete examples.

 
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Reflections (1)
4 12 image
Common Core Math
 
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