## Reflection: Complex Tasks Investments, Loans, and Mortgages - Day 1 of 2 - Section 1: Launch and Explore

When I taught this lesson this year, I forbid students from using any calculators for the table on the front side of this worksheet. I wanted to them to focus on the structure of this sequence representing the amount of money in the account at certain time periods, and this structure is not evident when they simplify every term completely using a calculator.

I think that this was overall a good move. Students were writing out the terms and I think they were organizing their work better than if they found the dollar amount for each time period. I was interested in how they were setting up their sequence. Many groups were writing the amount at each time period like the this student did.

There were a ton of parentheses, so I intervened and had them distribute everything out to get the sequence 300(1.04) + 300(1.04)^2 + 300(1.04)^3 +.... This was a little leading, and I am still unsure whether or not this was a good teaching move. However, the pattern of each sequence did become clear to many students after they distributed.

# Investments, Loans, and Mortgages - Day 1 of 2

Unit 9: Sequences and Series
Lesson 7 of 18

## Big Idea: How can geometric sequences help us solve problems involving financial mathematics?

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Standards:
Subject(s):
Math, Precalculus and Calculus, modeling, Geometry, geometric sequence, partial sum, real world connections, financial applications, Sequences and Series
45 minutes

### Tim Marley

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