MA19.8A.23

Mathematics (2019) Grade(s): 8 - Grade 8 Accelerated

Students know:

Techniques to find key features of functions when presented in different ways.
Techniques to convert a function to a different form (algebraically, graphically, numerically in tables, or by verbal descriptions).
Characteristics of linear and nonlinear functions.

Students are able to:

Accurately determine which key features are most appropriate for comparing functions.
Manipulate functions algebraically to reveal key functions.
Convert a function to a different form (algebraically, graphically, numerically in tables, or by verbal descriptions) for the purpose of comparing it to another function.
Compare functions based on their properties.

Students understand that:

Functions can be written in different but equivalent ways (algebraically, graphically, numerically in tables, or by verbal descriptions).
Different representations of functions may aid in comparing key features of the functions.
Functions are relationships between two variables that have a unique characteristic, that being, for each input there exists exactly one output.
Functions can be represented in a variety of ways (graphs, tables, and equations), each of which provides unique perspectives of the relationship between the variables.
Linear functions have a defining characteristic of a unit rate or slope that other nonlinear functions do not have.