Unit 5
Equations for Functions
Functions and Volume
Lesson 3
8.F.A: Define, evaluate, and compare functions.
8.F.A.1: Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
Expressions and Equations
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A Squareās Area
Unit 5 ā Lesson 3
1 min individual - 1 min team share - 3 mins class share
Page 117
SĀ²
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
A Squareās Area
Unit 5 ā Lesson 3
1 min individual - 1 min team share - 3 mins class share
Page 117
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Letās find outputs from equations.
Unit 5 ā Lesson 3
We will be able to find the output of a function when we know the input so that we can name the independent and dependent variables for a given function and represent the function with an equation.
Learning
Goal
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Where were we? Where are we? Where are we going?
Unit 5 ā Lesson 3
Agenda Review
You are successful today when...,
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Glossary
Unit 5 ā Lesson 3
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Glossary
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
3.2 Activity: Diagrams, Equations, and Descriptions
I can find the output of a function when I know the input.
15 mins total
3 mins individual - 5 mins group - 5 minutes class
Record your answers to these questions in the table provided
pg 118
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
3.2 Activity: Diagrams, Equations, and Descriptions
I can find the output of a function when I know the input.
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
3.2 Activity: Diagrams, Equations, and Descriptions
I can find the output of a function when I know the input.
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
3.2 Activity: Diagrams, Equations, and Descriptions
I can find the output of a function when I know the input.
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
3.2 Activity: Diagrams, Equations, and Descriptions
I can find the output of a function when I know the input.
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
3.2 Activity: Diagrams, Equations, and Descriptions
I can find the output of a function when I know the input.
15 mins total
5 mins individual - 3 mins group - 5 minutes class
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
3.3 Activity: Dimes and Quarters
I can find the output of a function when I know the input.
10 mins total
6 min group - 3 mins class share
115
100
d = -2.5q + 125
40
38
q = -0.4d + 50
pg 120
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
3.3 Activity: Dimes and Quarters
I can find the output of a function when I know the input.
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
3.3 Activity: Dimes and Quarters
I can find the output of a function when I know the input.
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Equations for Functions
I can find the output of a function when I know the input.
We can write A = sĀ², where s is the independent variable and A is the dependent variable.
If we knew the number of dimes and wanted to know the number of nickels, it would be useful to rewrite the equation so it looked like n = -2d + 100
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Lesson Synthesis
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
The Value of Some Quarters
I can find the output of a function when I know the input.
__
_______
__
n
v
25n
v = 25n
v = 25(10) = 250
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Cool-down
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Unit 5 ā Lesson 3
Learning
Targets
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Glossary
A function is a rule with exactly one output for each allowable input
Domain
Range
y depends on x
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Glossary
Unit 5 ā Lesson 1-2
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Glossary
Unit 5 ā Lesson 3
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
This slide deck is copyright 2020 by Kendall Hunt Publishing, https://im.kendallhunt.com/, and is licensed under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0), https://creativecommons.org/licenses/by-nc/4.0/.
All curriculum excerpts are under the following licenses:
IM 6ā8 Math was originally developed by Open Up Resources and authored by Illustrative Mathematics, and is copyright 2017-2019 by Open Up Resources. It is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0). OUR's 6ā8 Math Curriculum is available at https://openupresources.org/math-curriculum/.
Adaptations and updates to IM 6ā8 Math are copyright 2019 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
Adaptations to add additional English language learner supports are copyright 2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written consent of Illustrative Mathematics.
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