Education Technology

# Activities

• ##### Subject Area

• Math: Algebra II: Polynomials

9-12

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• ##### Software

TI-Nspire™ CX
TI-Nspire™ CX CAS

5.0

## Finite Differences

#### Activity Overview

Investigate the sets of finite differences for linear and quadratic functions.

#### Objectives

• Students will be able to recognize that the first set of finite differences for a linear function will be constant.
• Students will be able to recognize that the second set of finite differences for a quadratic function will be constant.
• Students will be able to determine the relationship between the constant set of first differences and the slope of a linear function.
• Students will be able to recognize that it is not possible to make inferences about the type of function from a set of data without further information.

#### Vocabulary

• finite differences
• constant
• degree
• linear, quadratic, and cubic functions
• rate of change
• slope