MA19.A1.24

Mathematics (2019) Grade(s): 09-12 - Algebra I with Probability

MA19.A1.24
Distinguish between situations that can be modeled with linear functions and those that can be modeled with exponential functions.

Unpacked Content

Knowledge

Students know:

Key components of linear and exponential functions.
Properties of operations and equality

Skills

Students are able to:

Accurately determine relationships of data from a contextual situation to determine if the situation is one in which one quantity changes at a constant rate per unit interval relative to another (linear).
Accurately determine relationships of data from a contextual situation to determine if the situation is one in which one quantity grows or decays by a constant percent rate per unit interval relative to another (exponential).

Understanding

Students understand that:

Linear functions have a constant value added per unit interval, and exponential functions have a constant value multiplied per unit interval.
Distinguishing key features of and categorizing functions facilitates mathematical modeling and aids in problem resolution.

Vocabulary

Linear functions
Exponential functions
Constant rate of change
Constant percent rate of change
Intervals
Percentage of growth
Percentage of decay

Aligned Learning Resources

Equivalent Expressions Using Exponents

Classifying Polygons

Classroom Connection: Unit Fractions

Classroom Connection: Who Ran Farther?

Introducing Non-Unit Fractions and Equivalence

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The Spread of a Virus: Which Virus Is More Virulent?

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