Introduction

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Lesson Objectives

Following successful completion of this lesson, students will be able to...

  • Identify arithmetic and geometric sequences
  • Recognize that arithmetic sequences are functions.

Essential Questions

  • How do you know if a given relation represents a function?
  • What are some ways to find domain and range values of a function?
  • How do you combine two functions?
  • What does the numerical, algebraic, or verbal representation of a function tell you about graph of the function?
  • What are the differences and similarities between geometric and arithmetic series?
  • How can you determine the rate of change of a function using its equation and graph?

Enduring Understandings

  • Functions and relations can be represented in different ways.
  • The ability to identify the pattern in a sequence helps you calculate the common difference or ratio for a given sequence.
  • The rate of change of a function can be determined from its graph.

The above objectives correspond with the Alabama Course of Study: Algebra I standards: 22.