MA19.A1.26

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

MA19.A1.26
Use graphs and tables to show that a quantity increasing exponentially eventually exceeds a quantity increasing linearly or quadratically.

Unpacked Content

Knowledge

Students know:

Techniques to graph and create tables for exponential and polynomial functions.

Skills

Students are able to:

Accurately create graphs and tables for exponential and polynomial functions.
Use the graphs and tables to present a convincing argument that the exponential function eventually exceeds the polynomial function.

Understanding

Students understand that:

Exponential functions grow at a faster rate than polynomial functions after some point in their domain.

Vocabulary

Increasing exponentially
Increasing linearly
Polynomial functions

Aligned Learning Resources

Exponential Function Graph

Classroom Connection: Unit Fractions

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