Lesson 5: Focus on Modeling
Duration of Days: 4
Lesson Objective
Know:
real world applications
Do:
use trigonometric functions to survey land and find heights of objects
What are the common surveying techniques that involve trigonometry?
How can we use angles of elevation and depression to calculate heights and distances?
How can we use trigonometric ratios to calculate the height of a tall object, such as a building or a tree?
What are the challenges in measuring angles of elevation and depression accurately?
What is the role of bearings in navigation?
Surveying, navigation, bearing
HS.MA.4C - 4C. Define trigonometric ratios, solve problems involving right triangles, and apply them in real world situations
By engaging in these real-world applications, students will develop a deeper understanding of trigonometry and its practical significance. They will also learn to apply their knowledge to solve complex problems and make informed decisions.
Purpose: Students will apply their knowledge of trigonometric functions to solve real-world problems, including surveying land, finding heights of objects, and navigation.
DOK Level: 3 (Strategic Thinking)
Surveying and Land Measurement:
Calculating distances, determining the height of a hill, mountain, or buildings, and measuring the area of a plot of land.
Navigation:
Calculating distances between locations on a map or a globe.
Navigating ships and airplanes.
Students may struggle to accurately measure angles of elevation and depression, leading to incorrect calculations.
Students may choose the wrong trigonometric function (sine, cosine, tangent) to solve a problem.
Students may not fully understand the real-world implications of their calculations, leading to misinterpretations of results.
Use real-world examples and physical models to illustrate concepts.
Step-by-Step Instructions: Break down complex problems into simpler steps.
Visual Aids: Use diagrams, charts, and graphs to represent information visually.
Technology Integration: Use technology tools like calculators and software to assist with calculations.
Exit Slips
Unit Test
Textbook and supplementary materials
Google Classroom for notes
You-tube: How-to videos