# Trigonometry Project #2: Tides & Functions

For this project, your task is to come up with an equation that models the height of the water in Dutch Kills as a function of time.

To do this, you will need to collect lots of data! Because of this, groups may share data. Think about what data you’ll need to collect and what a good plan for collecting it is.

The project is due by the end of the day on Friday, June 2nd

You will be evaluated primarily on the accuracy of your equation and on your description of your process. You also must include the data collected either as a table or a scatter plot or both. An excellent project will include an equation for a function that comes within an hour and within a foot of each data point and an explanation of how you applied knowledge of trigonometric graphs and transformations to fit the function to the data.

# Project #1: MODELING THE ZOMBIE APOCALYPSE

One member of your group is a zombie. How long will it take everyone in New York City to become a zombie? Will it take 28 days? How long before everyone in the world is a zombie? Find a function that will model this and express it graphically and algebraically.

# The Math of Shooting

How long after the clay is launched should Kim pull the trigger to have the best chance of hitting it? What is the slope of her gun at this time? At that distance, for our purposes, the time it takes for the shot to travel from the gun to the clay is negligible, so you can assume it’s 0. Use graphs and equations to make your best estimate.

# Project 4: Tides & Functions

For this project, your task is to come up with an equation that models the height of the water in Newtown Creek as a function of time.

To do this, you will need to collect lots of data! Because of this, groups may share data. Think about what data you’ll need to collect and what a good plan for collecting it is.

The project is due by the end of the day on Tuesday, April 24th.

Here are the groups:

MR2-1

• Ben, Josh, Richard, Meer
• Sydney, Sonicka, Alyssa, Zoë
• Sobohee, Rachel, Jane
• Kai, Alema, Islam
• Shilpa, Paul, Gabe, Stephanie

MR2-3

• Alex, Ashley, Dewan, Kate
• Max, Xavier, Qi
• Jackie, Chris, Ilinca, Emily
• Danielle, Jeisleen, Zak