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Key Assignment

Diana Elizabeth Trujillo Baeza

Created on April 14, 2021

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Transcript

CORE ACTIVITY

Quintana Roo

Modeling a periodic phenomenon from real data

Trigonometry and Introduction to Statistics Teacher: Norma Meza Ivich

CREDITS

Sunday, April 18th, 2021 Campus: Morelia and Santa Anita

INDEX

PAGE 1

SCATTER PLOT

TEMPERATURES OF 2020

BRIEF DESCRIPTION

SINE GRAPH BY GEOGEBRA

PARAMETERS

SINE MODEL (FUNCTION)

REFERENCES

QUESTIONS & ANSWERS

PREDICTIONS

Quintana Roo

Brief description and general climate

Quintana Roo is a Mexican state located in the Yucatan Peninsula, and it borders the states of Yucatán and Campeche. It has a population of around 1.858 million people and a surface area of 50,212 km².

+ INFO

Mean Average Temperature in Quintana Roo, 2020

CONAGUA. (n.d.). Temperatura Media Promedio por Entidad Federativa y Nacional 2020. Retrieved April 14, 2021, from https://smn.conagua.gob.mx/tools/DATA/Climatolog%C3%ADa/Pron%C3%B3stico%20clim%C3%A1tico/Temperatura%20y%20Lluvia/TMED/2020.pdf

Coordinates sample:

SINE MODEL (FUNCTION) TO FIT THE DATA

SCATTER PLOT

GeoGebra & Desmos

DESMO'S graph

Geogebra's graph

*Note that there are 12 pair of coordinates in total (for each month), this is just a sample.

SINE GRAPH

Sine Graph and mathematical model (function) generated by Geogebra.

Geogebra's graph

Model (function): Undefined

y= 2.6sin(π/6x -1.28828)+27.1

SINE FUNCTION GENERATED BY THE TEAM

SINE MODEL

+info

Sinusoidal functions

Info

GRAPH

+info

Parameters

Predictions

Table with the predictions for the temperature for July 2021.

From the model obtained by the team

Predicted temperature for July 2021 (by the team)

From the model given by the software GeoGebra

Predicted temperature for July 2021 (by GeoGebra)

According to both models obtained, what is the average temperature for July 2021?

Questions and Answers

Step 2

Question 2

From the two models, which one is better? Explain your reasoning.

+Answer

Did you find any differences between the two models/functions? Explain the differences (if any).

Question 1

+Answer

Step 2

Question 4

What does the period represent in the present context?

+Answer

Question 3

Explain the behavior of the temperature as time passes.

+Answer

Step 2

Question 5

What is the importance of modeling a real phenomenon? Why is it useful?

+Answer

REFERENCES

CONAGUA. (n.d.). Temperatura Media Promedio por Entidad Federativa y Nacional 2020. Retrieved April 14, 2021, from https://smn.conagua.gob.mx/tools/DATA/Climatolog%C3%ADa/Pron%C3%B3stico%20clim%C3%A1tico/Temperatura%20y%20Lluvia/TMED/2020.pdf INEGI. (2018). Clima. Quintana Roo. 14/04/2021, retrieved from INEGI official website: http://www.cuentame.inegi.org.mx/monografias/informacion/qroo/territorio/clima.aspx