Index

Discrete Mathematics Project

Counting Techniques Activity

Title

Finding A Way (John Reid)

Goals

1) Students will investigate counting methods

2) Students will recognize number sequences and create formulas for them

Abstract

See goal statement

Problem Statement

A student must walk home from his school. If he tries any short cuts he will be attack by dogs. The class will find all possible routes plus the shortest route possible.

Instructor Suggestions

1) Work in groups

2) Class presentations

Materials

Finding A Way handout

Time

Intro. (5 min.), groups (20 min.), presentations (10 min.), discussion (10 min.)

Mathematics Concepts

Discrete Mathematics Concepts

Counting techniques, Graph Theory

Related Mathematics Concepts

Pascal's Triangle

NCTM Standards Addressed

Problem Solving, Communication, Reasoning, Connections, Discrete Mathematics, Probability

Colorado Model Content Standards Addressed

Problem Solving Techniques (5), Linking Concepts and Procedures (6)

Curriculum Integration

All levels of math classes

Further Investigation

Variations/Comments

References/Resources

Discrete Math Project


Last updated January 16, 1997