East Los Angeles College Average Temperature Worksheet

Math 4Task A1
Spring 2022
Task A1
Due in Canvas – Please refer to the assignment in Canvas for due date
Intent
The A-task is an opportunity for you to apply your math skills on real-world data and learn
something from the data. The task is setup as a project that will possibly take a few hours to a
day or two to complete depending on your schedule.
Instructions
Take care to answer all the questions. For questions requiring an explanation, it is expected
that you write your answer in complete sentences.
You may
• use notes, books, calculator, graphing utility (such as a graphing calculator or online grapher)
• confer with other classmates on how to solve the problems
• ask the instructor for clarification
Do not ask persons not in our course for help with answering the problems. This includes tutors
and others with knowledge of the course material. If you do not understand the problem, we can
work together after the due date to discuss the concepts and you can redo the task for a higher
score.
Grading
The task will be graded overall on how well you present your work and analysis.
Score
Precision and Structure
Advanced
Uses accepted terminology and definitions to seamlessly describe a solution
method. Builds on prior knowledge to enhance the solution
Proficient
Uses appropriate math symbols and terminology. Organization makes the
work easy to follow and understand. Solution has a degree of precision appropriate to the scenario. Draws upon prior knowledge to solve the problem.
Developing
Loses track of symbols, labels and/or units. Solution has a degree of precision
that is inappropriate for the given scenario. Does not draw connections to
other content or structures. Uses notation that is consistent with the problem.
Emerging
Neglects the uses of symbols, units, or labels. Work is disorganized and/or
unclear. Does not demonstrate careful thinking.
Missing
No solution is present
For your course grade, you must complete a specific number of A-tasks at proficient or higher.
The numbers are outline in the table below. Completing this task at proficient or higher will count
as completing one of the A-tasks.
Grade
A
B
C
D
Number of A-tasks
2
1
1
0
1
K. Lui-Martinez
Math 4
Task A1
Spring 2022
Average Temperature
Note: You will need to use a computer for this problem. Please let me know as soon as possible
if you have trouble completing the problem due to computer access.
Preparation
a) Find the last two digits of your student id number, call it DD.
b) Calculate [(DD)mod 57 + 1].
You can use an online calculator: https://www.calculators.org/math/modulo.php
You can learn more about the modulo operator at the website. Modulo is an important
operator in number theory, computer science, and home loans.
c) Go to the Excel file with our data at: https://tinyurl.com/LuiAveTemp
You may copy or download the file to your own computer.
Data Setup
Navigate to the sheet for your county within the Excel file.
a) The default month is June. You may change the month by using the filter at the top of the
data set. Click on the filter icon, unselect June, and then select the month you want. Please
remember to change the month back to June in case another student uses the same county.
b) There are 127 years of temperature readings data. You decide how much of the data you
want to use, but it must contain at least 15 data points.
• The default year is 2000. You can change the beginning year at the top of the spreadsheet. The data is setup to calculate the number of years from the beginning year in
that cell.
• Do not change the sheet for your county significantly. Other students may use the same
sheet.
c) Go to https://www.desmos.com/calculator/qizl30j0ox
• Copy and paste the last two columns of your data set to Desmos. You will have to
use keyboard shortcuts. Otherwise, you have to enter the data manually. I’ve set up
different regression equations for you.
Go back to the spreadsheet and change the month back to June if you picked a different
month.
d) Click on “Share your graph” and copy the URL that is given. Include the URL in your
report/writeup.
Go to the next page for the analysis.
2
K. Lui-Martinez
Math 4
Task A1
Spring 2022
Average Temperature – continued
Include in your report/writeup,
• The last two digits of your student ID
• (DD)mod57+1
• Your county
• The URL from the Desmos “Share your graph” button
Analysis
1. For your county, look up some information about it online.
2. Describe a few possible reasons for the fluctuations in the temperature based on information
about your county.
3. Write out the different regressions given by Desmos. Use at least 3 significant digits or more
(three nonzero numbers, e.g. 0.0000421 has three sig figs).
4. Using each model, what is the predicted average temperature
(a) 5 years after the end of the data set?
(b) 10 years after the end of the data set?
For example, if the last year in your data set is 1990, then 1995 is 5 years after the end of
your data set.
5. Which of the regressions best fits the data? Which are good models for the data trends?
Explain your reason(s) using complete sentences. Use the guiding questions below to help
you answer.
• Does your model fit the fluctuations in the data well? Are the predictions accurate? Is
the model stable after the data set or does it dramatically deviate from the data set? Is
the model good for the short term for predictions?
3
K. Lui-Martinez
Intent
The A-task is an opportunity for you to apply your math skills
on real-world data and learn something from the data. The
task is setup as a project that will possibly take a few hours
to a day or two to complete depending on your schedule.
Instructions
1. Get a copy of the problems to work on by doing one of
the following:
o Print
o Download to a digital device (such as iPad or
Surface)
o Copy the problems down on a paper
2. Write out your solution on paper or digitally
o Indicate the problem you are working on by
using the heading “’Problem # (Section #).”
o It is not necessary to rewrite the prompt unless
you want to copy it.
o Take care to answer all the questions in each
problem. For questions requiring an explanation,
it is expected that you write your answer in
complete sentences.
3. Scan (if not on a tablet) as a PDF or take a picture as a
JPG
4. Submit