Activity
Homeschool Math

Homeschool Math: How to Construct an Altitude to a Triangle

For Students 6th - 8th
Exercises explain how to construct an altitude to a triangle.
Handout
University of Georgia

University of Georgia: Inter Math: Altitude of a Triangle

For Students 9th - 10th
This site gives a description along with a visual representation of the altitude of a triangle. There are links to related terms, everyday examples, challenging problems, more information, and the interactive check point involving...
Activity
Texas Instruments

Texas Instruments: Concurrent Lines, Medians, and Altitudes With Cabri Jr.

For Teachers 9th - 10th
An introduction to concurrent lines, medians, and altitudes using Cabri Jr.
Article
American Institute of Biological Sciences

Action Bioscience: The Challenge of Living at High Altitudes

For Students 9th - 10th
Physical anthropologists are studying the ongoing evolution of modern humans. This article features research done on those living in high altitudes over thousands of years with the intention to discover things such as the role of natural...
Article
University Corporation for Atmospheric Research

Ucar: Change in the Atmosphere With Altitude

For Students 3rd - 8th
How does the atmosphere change as you go up high in the sky?
Interactive
CK-12 Foundation

Ck 12: Altitudes: Orthocenter

For Students 9th - 10th
[Free Registration/Login Required] Students will use the interactive riangle and points to explore altitudes such as the orthocenter. Click learn more to watch a video and click challenge me to answer a practice question.
Lesson Plan
Science Buddies

Science Buddies: Gigantic Triangles: Measuring Altitude (Inclinometer)

For Teachers 6th - 8th
If you've ever wondered how tall that bridge is, or how high your kite was, then this could be a good project for you. You'll learn how you can use the mathematics of right triangles to measure the height of an object with two...
Activity
NASA

Nasa: Rockets Educator Guide: Launch Altitude Tracker

For Students 3rd - 8th
This lesson plan allows student to make a launch altitude tracker. Student will use a sighting tube and angle measurements to track the altitude of rockets that are launched.
Website
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Triangle Altitudes

For Students 9th - 10th Standards
Here at the Math Forum, Dr. Math proves the concurrency of the altitudes of a triangle. Links are provided for associated topics.
Activity
Texas Instruments

Texas Instruments: Simple Constructions With Cabri Jr.

For Teachers 9th - 10th
The Cabri Jr. Constructions Tools Menu (F3) contains tools for contructing geometric objects. This activity provides practice using several of the tools. The activity also investigates the terms: median of a triangle and the altitude of...
Unit Plan
TED Talks

Ted: Ted Ed: High Altitude Wind Energy From Kites!

For Students 9th - 10th
In this brief talk, Saul Griffith unveils the invention his new company Makani Power has been working on: giant kite turbines that create surprising amounts of clean, renewable energy. [5:22]
Activity
University of Georgia

University of Georgia: Altitudes & Orthocenters: Making Connections

For Students 9th - 10th Standards
This site describes altitudes and orthocenters in triangles and their connections with the nine-point circle.
Unit Plan
Math Words

Math words.com: Altitude of a Triangle

For Students 9th - 10th
This site provides a definition of what the altitude of a triangle is. It also provides a diagram.
Handout
University Corporation for Atmospheric Research

Ucar: High Altitude Observatory: Tycho Brahe (1546 1601)

For Students 9th - 10th
This site contains information about Brahe's contributions to astronomy, and also discusses his planetary model.
Unit Plan
Cut the Knot

Cut the Knot: Existence of the Orthocenter

For Students 9th - 10th
This site defines the altitude of a triangle and gives the standard notation for altitudes of a triangle. The site then goes to list several proofs involving altitudes and orthocenters.
Activity
Oswego City School District

Regents Exam Prep Center: Concurrence

For Teachers 9th - 10th
Find resources for class instruction on concurrence: a lesson on concurrence of medians, altitudes, angle bisectors, and perpendicular bisectors complete with definitions and example diagrams; a six-question practice quiz; and...
Handout
American Association of Physics Teachers

Com Padre Digital Library: Open Source Physics: Local Coordinates Model

For Teachers 9th - 10th
This astronomy simulation presents stars in their Altitude/Azimuth coordinates serving as an introduction to the celestial globe and equatorial coordinates.
Website
PBS

Pbs: Everest

For Students 9th - 10th
The companion web site to NOVA programs on Mt. Everest: Lost on Everest, High Exposure: Humans at Altitude, Climb, History and Culture, Earth, Wind, and ice, Previous Expeditions, and Resources.
eBook
OpenStax

Open Stax: Variation of Pressure With Depth in a Fluid

For Students 11th - 12th
From a chapter on Fluid Statics in a Physics textbook. This section of the chapter looks at the relationship of weight, depth, density, and altitude to pressure. Includes questions, problems and exercises.
Unit Plan
Texas Education Agency

Texas Gateway: Variation of Pressure With Depth in a Fluid

For Students 11th - 12th
By the end of this section, you will be able to define pressure in terms of weight, explain the variation of pressure with depth in a fluid, and calculate density given pressure and altitude.
Activity
TeachEngineering

Teach Engineering: I Can't Take the Pressure!

For Teachers 3rd - 8th
Students develop an understanding of air pressure by using candy or cookie wafers to model how it changes with altitude, by comparing its magnitude to gravitational force per unit area, and by observing its magnitude with an aluminum can...
Unit Plan
Cuemath

Cuemath: Median of a Triangle

For Students 9th - 10th Standards
This lesson explores the equation of the median of a triangle formula, sum of medians of a triangle, altitude of a triangle, median of equilateral triangle formula, and median of a triangle definition while discovering the interesting...
Activity
University Corporation for Atmospheric Research

Ucar: Virtual Ballooning to Explore the Atmosphere Activity

For Students 9th - 10th
In this computer-based virtual lab, students will learn about the layers of Earth's atmosphere by launching virtual balloons to collect temperature and pressure data at various altitudes. Given a limited number of balloon flights,...
Article
American Geosciences Institute

American Geosciences Institute: The Weather at High Altitudes

For Students 9th - 10th
Learn about the air and weather that happens high up in the atmosphere.

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