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# 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 , where b is a whole number greater than 1 or a unit fraction, or , where .

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.

### General Information

Subject Area: Mathematics (B.E.S.T.)
Strand: Algebraic Reasoning
Status: State Board Approved

#### Related Courses

 Course Number1111 Course Title222 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)) 1200340: Algebra 2 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current)) 1200380: Algebra 1-B (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current)) 1200400: Foundational Skills in Mathematics 9-12 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current)) 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)) 1200710: Mathematics for College Algebra (Specifically in versions: 2022 and beyond (current))

#### 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.

#### 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.

#### 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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