I know you've been waiting for this. here is the study guide and answer key. Enjoy.
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Our final lesson of the school year! Woo hoo! This looked at the difference between exponential and linear functions. We graphed both and looked at the average rate of change.
In this lesson, we looked at geometric patterns and tried to find equations that could help us determine the number of shapes at a given step. We have been doing this throughout the school year in looking at visual patterns.
Decay functions are similar to growth functions except the growth factor is between 0 and 1. We also saw that just as growth functions get large quickly, decay functions tend to get small very quickly.
Here we looked at exponential growth functions. We saw that there is a growth factor larger than one, and that these functions tend to get very large very quickly.
This lesson took a closer look at simple and compound interest as examples of linear and exponential functions. We focused our attention on compound interest, as this is most commonly found in the real world. We also looked at how spreadsheets can help us find more specific info about compound interest.
On Monday, we learned about the difference between arithmetic and geometric sequences. We saw that arithmetic sequences have a common difference and are sometimes called 'linear sequences.' Geometric sequences have a common ratio and resemble exponential functions.
This lesson helped us write both explicit and recursive formulas for sequences and helped us figure out the sequence when we had explicit or recursive formulas.
In this first lesson of our last module, we discussed sequences and touched on explicit formulas to describe sequences. We will continue to explore this idea more fully.
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