1.3 Linear vs. Non-Linear
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Mathematics
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Practice Problem
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Medium
Naoise Gallagher
Used 13+ times
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6 Slides • 9 Questions
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Linear vs. Non-Linear Relations
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Learning Outcomes
Identify a linear and non-linear relationships from:
Graphs
Equations
Table of Values
Stories/Descriptions
3
Multiple Choice
Educated Guess: Which Graph is Linear?
4
Linear graphs are represented by a straight line.
Linear Graphs
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Multiple Choice
Estimated Guess: Which Equation shows a Linear Relationship?
y = x + 1
y = x2
y = x
y = 2x
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The power of a variable is 1.
This means:
No roots.
No exponents other than 1
x cannot be a denominator
Linear Equations
7
Multiple Select
Select all equations that are linear.
y = 2x
y = x1
y = 3x+ 1
y = x4 + 2
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Multiple Choice
Educated Guess: Which Table Shows a Linear Relationship?
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The values in the table increase or decrease by the same amount each time
Linear Tables
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Multiple Choice
True or False?
This table shows a linear relationship.
True
False
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Multiple Select
Select all tables that show a linear relationship.
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When a raccoon finds a full dumpster it calls three of its friends. Each of these new raccoons then call three of their friends.
Non-Linear
Deirdre earns $100 each day she works at her local clothes store. For each item of clothing she sells, she makes an extra $10.
Linear
Linear vs. Non-Linear Stories
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Multiple Choice
Linear or Non-linear.
In a zombie apocalypse the first person infected bites four people and each of those zombies bites another four people.
Linear
Non-linear
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Multiple Choice
Linear or Non-Linear?
Deirbhle is going on a long cycle. Every 20 minutes she cycles a distance of 5km.
Linear
Non-linear
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Multiple Choice
Linear or Non-linear?
A grasshopper is jumping to the end of a meter stick. Each jump he takes is half the distance of his last jump.
Linear
Non-linear
Linear vs. Non-Linear Relations
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