Education Technology

Perfect Shuffles

Subject Area
Math: Precalculus: Functions and Graphs
Level
9-12
Activity Time
45 Minutes
TI Calculator
TI-Nspire™ CX series
TI-Nspire™ CX CAS/CX II CAS
TI-Nspire Version
3.0
Resource Types
Lessons
Format
TNS

Perfect Shuffles

Activity Overview

This lesson involves creating and using a composite function to describe certain ways of shuffling a deck of cards.

Objectives

  • Students will create a piecewise linear function to model a method for shuffling a deck of cards.
  • Students will apply composite functions to represent two or more shuffles of a deck.

Vocabulary

  • perfect out-shuffle
  • perfect in-shuffle
  • piecewise linear function
  • composition of functions

About the Lesson

This lesson involves creating and using a composite function to describe certain ways of shuffling a deck of cards.
As a result, students will:

  • Create a piecewise linear function to represent shuffling a deck of cards in a certain way.
  • Compose a piecewise function with itself several times.
  • Use a piecewise function and its composites to determine the number of shuffles needed to return a deck of cards to its original order.

Subject Area
Math: Precalculus: Functions and Graphs
Level
9-12
Activity Time
45 Minutes
TI Calculator
TI-Nspire™ CX series
TI-Nspire™ CX CAS/CX II CAS
TI-Nspire Version
3.0
Resource Types
Lessons
Format
TNS
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