Standard #: MA.912.AR.5.4


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Write an exponential function to represent a relationship between two quantities from a graph, a written description or a table of values within a mathematical or real-world context.


Clarifications


Clarification 1: Within the Algebra 1 course, exponential functions are limited to the forms begin mathsize 12px style f open parentheses x close parentheses equals a b to the power of x end style, where b is a whole number greater than 1 or a unit fraction, or begin mathsize 12px style f open parentheses x close parentheses equals a open parentheses 1 plus-or-minus r close parentheses to the power of x end style, where begin mathsize 12px style 0 less than r less than 1 end style.

Clarification 2: Within the Algebra 1 course, tables are limited to having successive nonnegative integer inputs so that the function may be determined by finding ratios between successive outputs.



Related Courses

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1200310: Algebra 1 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1200320: Algebra 1 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1200330: Algebra 2 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
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1200380: Algebra 1-B (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
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7912070: Access Mathematics for Liberal Arts (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current))
7912090: Access Algebra 1B (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current))
1200315: Algebra 1 for Credit Recovery (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1200385: Algebra 1-B for Credit Recovery (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7912075: Access Algebra 1 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current))
7912095: Access Algebra 2 (Specifically in versions: 2016 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current))
1207350: Mathematics for College Liberal Arts (Specifically in versions: 2022 and beyond (current))
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Related Access Points

Access Point Number Access Point Title
MA.912.AR.5.AP.4 Select an exponential function to represent two quantities from a graph or a table of values.


Related Resources

Formative Assessments

Name Description
Follow Me

Students are asked to write and solve an equation that models an exponential relationship between two variables.

Case In Point

Students are asked to explain the relationship between the set of solutions and the graph of an exponential equation.

What Is the Function Rule?

Students are asked to write function rules for sequences given tables of values.

Writing an Exponential Function From a Table

Students are asked to write an exponential function represented by a table of values.

Writing an Exponential Function From a Description

Students are asked to write an exponential function from a written description of an exponential relationship.

Writing an Exponential Function From Its Graph

Students are asked to write an exponential function given its graph.

Lesson Plan

Name Description
Which Function?

This activity has students apply their knowledge to distinguish between numerical data that can be modeled in linear or exponential forms. Students will create mathematical models (graph, equation) that represent the data and compare these models in terms of the information they show and their limitations. Students will use the models to compute additional information to predict future outcomes and make conjectures based on these predictions.

Original Student Tutorial

Name Description
Creating Exponential Functions

Follow as we construct an exponential function from a graph, from a table of values, and from a description of a relationship in the real world in this interactive tutorial.

Student Resources

Original Student Tutorial

Name Description
Creating Exponential Functions:

Follow as we construct an exponential function from a graph, from a table of values, and from a description of a relationship in the real world in this interactive tutorial.



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