Learning Resources

Outcomes

In this lesson you will

• Discover the pattern necessary to generate Pascal's triangle.
• Explore various properties of Pascal's triangle.
• Relate the elements of Pascal's Triangle to combinations expressions.

By the end of this section you should be able to:

• Demonstrate an understanding of binomial expansion and its connection to combinations.
• Connect Pascal's triangle with combinatorial coefficients.

Introduction

In this section you will apply what you have learned about combinations to help you expand expressions such as (x + y)ⁿ without performing polynomial multiplication.

This section should take you about 2.5 hours to complete.

Prerequisites

To be successful in this lesson, it would be helpful to know the following:

• Combinations.
• The idea of symmetric patterns.