## Reflection: Connection to Prior Knowledge Binomial Expansion - Section 2: Share

While many of my students had used combinations before, there were a few who had not. To quickly refresh their memory and to explain to the other students, I had students evaluate 4 choose 2 on their calculator to see that it was equal to 6.

Next I asked students to think of a specific problem that we could use 4 choose 2 to evaluate. It took a couple of different tries, but eventually we came up with this example: If you have 4 flavors of ice cream and are going to put two different flavors in a milkshake, how many different milkshakes can be made? In this diagram I used vanilla, chocolate, strawberry, and banana ice cream to illustrate the six different combinations.

Connection to Prior Knowledge: Quick Refresher

# Binomial Expansion

Unit 9: Sequences and Series
Lesson 15 of 18

## Big Idea: Expanding a binomial raised to a power is a different type of series with a definite pattern.

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Standards:
Subject(s):
Math, PreCalculus, Algebra 2, binomial expansion, Binomial Theorem, Pascal's Triangle, combinations
45 minutes

### Tim Marley

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