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.

General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: 912
Strand: Algebraic Reasoning
Standard: Write, solve and graph exponential and logarithmic equations and functions in one and two variables.
Date Adopted or Revised: 08/20
Status: State Board Approved

Related Courses

This benchmark is part of these courses.
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

Alternate version of this benchmark for students with significant cognitive disabilities.
MA.912.AR.5.AP.4: Select an exponential function to represent two quantities from a graph or a table of values.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

Formative Assessments

Follow Me:

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

Type: Formative Assessment

Case In Point:

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

Type: Formative Assessment

What Is the Function Rule?:

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

Type: Formative Assessment

Writing an Exponential Function From a Table:

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

Type: Formative Assessment

Writing an Exponential Function From a Description:

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

Type: Formative Assessment

Writing an Exponential Function From Its Graph:

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

Type: Formative Assessment

Lesson Plan

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.

Type: Lesson Plan

Original Student Tutorial

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.

Type: Original Student Tutorial

MFAS Formative Assessments

Case In Point:

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

Follow Me:

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

What Is the Function Rule?:

Students are asked to write function rules for sequences given tables 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 a Table:

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

Writing an Exponential Function From Its Graph:

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

Original Student Tutorials Mathematics - Grades 9-12

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

Vetted resources students can use to learn the concepts and skills in this benchmark.

Original Student Tutorial

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.

Type: Original Student Tutorial

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.