MA19.8A.16

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

MA19.8A.16
Define a function as a mapping from one set (called the domain) to another set (called the range) that assigns to each element of the domain exactly one element of the range. [Grade 8, 13, edited for added content]

Unpacked Content

Knowledge

Students know:

Distinguishing characteristics of functions,
Conventions of function notation,
Techniques for graphing functions,
Techniques for determining the domain of a function from its context.

Skills

Students are able to:

Accurately graph functions when given function notation.
Accurately evaluate function equations given values in the domain.
Interpret the domain from the context,
Produce a graph of a function based on the context given.

Understanding

Students understand that:

Functions are relationships between two variables that have a unique characteristic: that for each input there exists exactly one output.
Function notation is useful to see the relationship between two variables when the unique output for each input relation is satisfied.
Different contexts produce different domains and graphs.
Function notation in itself may produce graph points which should not be in the graph as the domain is limited by the context.

Vocabulary

Function
Relation
Mapping
Domain
Range
Functional notation f(x)
Element
Input
output
Quantitative relationship

Design by Adaptive Theme