Download Tallest Buildings in the World Overview

NCGA GeoMath Lesson Plan Name of Lesson Tallest Buildings in the World Time for Instruction 10 minutes Essential Question(s) Are the angles of elevation and the angle of depression the same? Higher Order Thinking Question(s) How can the height of a building be determined by right angle trigonometry? Common Core Standard(s) Define trigonometric ratios and solve problems involving right triangles CCSS.Math.Content.HSG.SRT.C.6
Understand that by similarity, side ratios in right triangles are properties of the angles in the
triangle, leading to definitions of trigonometric ratios for acute angles.
Common Core CCSS.Math.Content.HSG.SRT.C.7
Mathematics Explain and use the relationship between the sine and cosine of complementary angles.
CCSS.Math.Content.HSG.SRT.C.8
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied
problems.*
National Geography Objective(s) 2. Perceptions of places and regions change by incorporating multiple direct and indirect
experiences
Therefore, the student is able to:
A. Analyze the ways in which people change their views of places and regions as a result of
media reports or interactions with other people, as exemplified by being able to
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8th grade Standard 6 •
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Describe the changing views people may develop about places featured prominently
in the news (e.g., Super Bowl site or World Series cities, the scene of a natural
disaster, a venue hosting a significant international meeting).
Analyze the way in which traveling to a new place (city, state, or country) may
change prior views of that place to more informed and developed views based on the
experiences there (e.g., travel for sporting contests at schools, travel for outdoor
recreational activities, travel for historical interests or visiting museums).
Analyze the effects of different sources of information that may cause people to
change their views of a place or region (e.g., travel brochures or guidebooks, cable
travel channels or documentaries, information from friends or family).
Prerequisite skills/knowledge Apply the Tangent Function Summary Students will be exposed to world geography through a lesson on right angle trigonometry. Students will
view several images of the world’s tallest building. Tidbits of information such as how many elevators the
building has should engage students’ interest. Students will calculate the angle of elevation as if they were
standing on the ground looking up at the building; they will also inductively discover that the angle of
depression is the same measurement as the elevated angle. The lesson is designed as a class introduction to
applications of right triangle trigonometry.
Vocabulary Mathematical Terms Sine Cosine Tangent Degrees Right Triangle Angle of Elevation Angle of Depression Geography Terms United Arab Emirates Saudi Arabia China Taiwan Life Expectancy Total Fertility Rate (TFR) Instructional Strategies/Sequence Bell ringer: Ask students to predict the height of each building? The height of the Shanghai World Financial Center is not given because students must determine the height in a later activity. Lesson: Students will use the data for each building to determine the angle of elevation, the angle of depression or the height of the building. Instructional Resources CIA World Factbook https://www.cia.gov/library/publications/the-world-factbook/docs/profileguide.html
Skyscraper Center http://www.skyscrapercenter.com
Formative Assessment Monitor students’ work while completing the calculations Differentiation Guide students to set up the calculation. Enrichment Students calculate the percent difference in height from the 2nd tallest to the tallest building. Students investigate the height of the building without their towers. Students map the location of each of the 10 tallest buildings.