- Students will determine the domain and range of relationships given as a set of ordered pairs.
- Students will determine whether or not a relationship is a function or not using the definition.
- Students will verify that relationships are functions or not by examining the relationship graphically and in a table.
- Students will define, evaluate, and compare functions (CCSS).
- Students will reason abstractly and quantitatively (CCSS Mathematical Practice).
- Students will construct viable arguments and critique the reasoning of others (CCSS Mathematical Practice).
- Students will look for and make use of structure (CCSS Mathematical Practice).
About the Lesson
This lesson involves examining relationships and functions and their inputs, outputs, domains, and ranges.
As a result, students will:
- Examine a relationship, determine its domain and range, and plot it on a coordinate grid.
- Examine a relationship in table form with arrows to connect inputs with their given outputs.
- Learn that a function is a rule that assigns to each input exactly one output and that the graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
- Students will create their own relationships, one that is a function and one that is not.