Model contextual situations using trigonometric functions (Part II).
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Have students participate in the Desmos activity Burning Daylight.
Burning Daylight by is made available by Desmos. Copyright © 2017 Desmos, Inc. Accessed Feb. 26, 2018, 4:58 p.m..
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Tidal data for New Canal Station, located on the shore of Lake Pontchartrain, LA and Lake Charles, LA are shown below.
New Canal Station on Lake Pontchartrain, LA, Tide Chart
Date | Day | Time | Height | High/Low |
2014/05/28 | Wed. | 07:22 a.m. | 0.12 | L |
2014/05/28 | Wed. | 07:11 p.m. | 0.53 | H |
2014/05/29 | Thurs. | 07:51 a.m. | 0.11 | L |
2014/05/29 | Thurs. | 07:58 p.m. | 0.53 | H |
Lake Charles, LA, Tide Chart
Date | Day | Time | Height | High/Low |
2014/05/28 | Wed. | 02:20 a.m. | -0.05 | L |
2014/05/28 | Wed. | 10:00 a.m. | 1.30 | H |
2014/05/28 | Wed. | 03:36 p.m. | 0.98 | L |
2014/05/28 | Wed. | 07:05 p.m. | 1.11 | H |
2014/05/29 | Thurs. | 02:53 a.m. | -0.06 | L |
2014/05/29 | Thurs. | 10:44 a.m. | 1.31 | H |
2014/05/29 | Thurs. | 04:23 p.m. | 1.00 | L |
2014/05/29 | Thurs. | 07:37 p.m. | 1.10 | H |
a. Would a sinusoidal fucntion of the form $${f(x)=A\mathrm{sin}(\omega (x-h))+k}$$ be appropriate to model the given data for each location? Explain your reasoning.
b. Write a sinusoidal function to model the data for New Canal Station.
Algebra II > Module 2 > Topic B > Lesson 13 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..