Project 2
Day 1 - Creating a Trigonometric Equation
Part 1: Choose any city in the world and record the average monthly high temperatures for a 12-‐month period.
Go to google.comSearch “average monthly high temperature (type in your city)
Click Graphs
Record the average high temperature for each month in the table below
Average Monthly High Temperature
Month
Average High Temperature
(1) January
53
(2) February
58
(3) March
66
(4) April
73
(5) May
80
(6) June
87
(7) July
89
(8) August
88
(9) September
83
(10) October
74
(11) November
64
(12) December
55
Part 2 - Plotting data and creating a trigonometric equation:
Open Desmos Graphing calculator (https://www.desmos.com/calculator)Type the data for every month in the format below:
(month number * 30 - 15, average high temp) don't forget the comma in the middle
January Example: (1 * 30-15, 34)
February Example: (2 * 30-15,37)
To create trigonometric equation as a best fit for the data, estimate the following properties:
Estimated Properties
Amplitude (a-value): ___18____ (highest temp - lowest temp) ÷ (2)
Period: __365______
2π/Period (b-value): __0.017__
Horizontal Shift (c-value) : ___195___ (hottest month number * 30 - 15)
Vertical Shift (d-value): ____71____ (highest tem + lowest temp) ÷ (2)
Create a trigonometric equation to be used to predict high temperature for any day
Predicted Temperature = a * cos (b (x - c)) + d
Trigonometric Equation for Daily High Temperature Prediction
18*cos(0.017(x-195))+71
(go to https://miniwebtool.com/day-of-the-year-calculator/ to determine the day # and check your equation)
Plot the trigonometric equation the city on the same desmos page and include screenshots of your graph below
Graph: Actual Average High Temperatures and Trigonometric Equation
Day 1 Checklist:
Average monthly high temperature chart completed
Trigonometric equation to predict high temperature for each city
Graphs with data and trigonometric equation
Day 2 - City Research for News Report
Part 1:
Research social justice news event for the city (you can report on social justice news from another city if your city does not have any)
Extended high temperature forecast for a locally significant date of your choice (calculation for the date with your equation and graph must appear in the video).
Part 2: Create a script for your news report video
News Report Script:
Olivia: Hello and welcome to News at Nine. I hope you are having a great morning, Im Olivia here bringing to you our current Atlanta news and the weather that follows, take it away marcus.
Marcus: Good morning drew students and staff. With the recent acts of police brutality and as black Americans face continuous preduguse, the peaceful protests will continue throughout the city. Be careful as you attend these protests today,it's a little chilly with a high of 64 and a low of 47. But don't let the temperature slow you down, there's a good reason to protest and speak against oppression. Just remember to bring your jacket and keep safe.
Marcus: Now here is Ava with the weather
Ava: *Presents graph of weather for each month* So here we have a diagram to show you how The weather for this entire year *compares temperatures* and if you're wondering how we can infer the weather for this year Dutch here can help,
Dutch: Thanks ava So here you can see how we found the high temperature this weekend. We used the average high temperature throughout the year to come up with an equation that we could use by plugging in the day of the year out of 365, to find out the predicted high temperature for the day. Because today is Tuesday, November 9th, the 313th day of the year, we used the equation “”. This equation uses the day of the year multiplied by other variables such as the amplitude of the average high temperatures throughout the year, in order to figure out the high temperature of a particular day within the year relative to the average high temperature within that month and the ones that surround it. Using this equation we know that the high temperature today should be just over 63 degrees fahrenheit.
Day 2 Checklist :
Script for the news report (Including the following elements):
1)Social Justice news event story
2)Estimated high temperature for a day of your choice
3)Work shown to calculate temperature
4)Explanation of calculations for Amplitude, Period, Horizontal Shift and Vertical Shift
Begin to practice your news report
Day 3 - Rehearsal/Filming for News Report
Rehearse and begin filming your news report video. Video must include:
Social justice news event from the city (you can report on social justice news from another city if your city does not have any)
Extended high temperature forecast for a locally significant date of your choice (calculation for the date with your equation and graph must appear in the video).
Day 4 - Filming/Editing for News Report
Complete Filming and begin editing for news report video. Video must include:
Social justice news event from the city (you can report on social justice news from another city if your city does not have any)
Extended high temperature forecast for a locally significant date of your choice (calculation for the date with your equation and graph must appear in the video).
Day 5 - Final Editing for News Report
Complete editing for news report video. Video must include:
Social justice news event from the city (you can report on social justice news from another city if your city does not have any)
Extended high temperature forecast for a locally significant date of your choice (calculation for the date with your equation and graph must appear in the video).