Introduction to Functions and Equations for Functions

Learning Resource Type

Classroom Resource

Subject Area

Mathematics

Grade(s)

8

Overview

In this video lesson, students learn the term function for a rule that produces a single output for a given input. This lesson introduces and connects the different ways in which we represent functions in mathematics: verbal descriptions, equations, tables, and graphs. Students transition from input-output diagrams and descriptions of rules to equations. The lesson also introduces the use of independent and dependent variables in the context of functions.

Grade 8, Episode 7: Unit 5, Lessons 2 & 3 | Illustrative Math

Mathematics (2019) Grade(s): 8

MA19.8.13

Determine whether a relation is a function, defining a function as a rule that assigns to each input (independent value) exactly one output (dependent value), and given a graph, table, mapping, or set of ordered pairs.

UP:MA19.8.13

Vocabulary

  • Relation
  • Function
  • Input
  • Output

Knowledge

Students know:
  • how to interpret a graph, table, mapping, and ordered pairs.

Skills

Students are able to:
  • give an accurate definition of a function.
  • Analyze graphs, tables, mappings, and sets of ordered pairs to determine if a relation is a function.

Understanding

Students understand that:
  • Functions assign every input one output, but they may see outputs repeat.

CR Resource Type

Audio/Video

Resource Provider

PBS

License Type

CUSTOM
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