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Pascal's Triangle

Site: Clare-Gladwin RESD
Course: Michigan Algebra II KHauck
Book: Pascal's Triangle
Printed by: Guest user
Date: Tuesday, November 26, 2024, 12:46 AM

Description

Pascal's Triangle

Table of contents

Pascal's Triangle

There is a unique pattern of numbers known as Pascal’s triangle. This pattern has applications in many areas of mathematics including combinatorics. To explore many of the attributes of Pascal’s Triangle select the following link, paying close attention to the text about combinations:

Pascal's Triangle


To find any entry in Pascal’s Triangle apply the “n choose k” formula:

Pascals1-1
For example, in row 5, term 3 is 10. Use the formula to verify:

Pascals1-2

Video Lesson

To learn more about how Pascal’s Triangle relates to combinations watch the following video:

Practice

Pascal's Triangle Worksheet

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Answer Key

Answer Key for Pascal's Triangle Worksheet

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Sources

Sources used in this book:

Embracing Mathematics, Assessment & Technology in High Schools; a Michigan Mathematics & Science Partnership Grant Project

Mathforum.org, "Interactive Pascal's Triangle." http://mathforum.org/dr.cgi/pascal.cgi?rows=9 (accessed 7/28/2010).

Mathisfun.com, "Pascal's Triangle." http://www.mathsisfun.com/pascals- triangle.html (accessed 7/28/2010).