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Algebra 2
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This downloadable text features over 200 math problems that very closely follow ...

This downloadable text features over 200 math problems that very closely follow the standard curriculum for high school Algebra 2 courses, but with a strong emphasis on space science and astronomy. Fourteen chapters featuring on-grade-level Algebra 2 concepts and skill areas including statistics, probability, conics, trigonometry, complex numbers and matrix algebra. Science topics are drawn from all areas of planetary, solar and astrophysics, in addition to space exploration and rocketry.

Subject:
Mathematics
Algebra
Trigonometry
Chemistry
Physics
Geoscience
Space Science
Material Type:
Interactive
Lecture Notes
Lesson Plan
Textbook
Provider:
UCAR Staff
Provider Set:
NASA Earth and Space Science Reviewed Collection
Are They Similar?
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In this problem, students are given a picture of two triangles that ...

In this problem, students are given a picture of two triangles that appear to be similar, but whose similarity cannot be proven without further information. Asking students to provide a sequence of similarity transformations that maps one triangle to the other focuses them on the work of standard G-SRT.2, using the definition of similarity in terms of similarity transformations.

Subject:
Mathematics
Geometry
Trigonometry
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Atmosphere Applet
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Atmosphere Applet: This program lets you study how the properties of the ...

Atmosphere Applet: This program lets you study how the properties of the atmosphere change with altitude. You can study the atmosphere of either the Earth or Mars. The equations used in this program are taken from the ICAO standard day model for the Earth and from some curve fits of the Martian atmosphere gathered by the Global Surveyor spacecraft. Using the airplane graphic you can select an altitude, or you can type an altitude into the input box.

The program instantly outputs a selected property and displays the local temperature and pressure on gauges You can output the temperature, pressure, density, local speed of sound, Mach number for specified velocity, or the ratio of aircraft lift to the lift on Earth at sea level. Input and output can be given in either English or metric units.

Subject:
Engineering
Algebra
Calculus
Functions
Trigonometry
Chemistry
Physics
Geoscience
Space Science
Material Type:
Full Course
Interactive
Provider:
ComPADRE Digital Library
NASA
Provider Set:
ComPADRE: Resources for Physics and Astronomy Education
NASA Glenn Research Center
Author:
NASA Glenn Research Center
Tom Benson
Bank Shot
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This task asks students to use similarity to solve a problem in ...

This task asks students to use similarity to solve a problem in a context that will be familiar to many, though most students are accustomed to using intuition rather than geometric reasoning to set up the shot.

Subject:
Mathematics
Geometry
Trigonometry
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Clipart ETC: Trigonometry and Analytic Geometry
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The Trigonometry and Analytic Geometry ClipArt collection offers 537 illustrations for use ...

The Trigonometry and Analytic Geometry ClipArt collection offers 537 illustrations for use in Algebra II, Trigonometry, Analytic Geometry, and PreCalculus courses. The illustrations are arranged in 13 galleries. Topics include images of conic sections (circles, ellipses, hyperbolas, and parabolas), positive and negative coterminal angles, reference angles, and angles of depression and elevation. Polar grids and trigonometric graph paper samples found here are extremely useful when teaching graphing concepts. There are several illustrations of the unit circle used for special and quadrantal angle values available as well as right and oblique triangle images for application problems. Images of trigonometric functions are also included in this gallery. For more ClipArt pertaining to these topics, visit the Geometry and Angles ClipArt sections.

Subject:
Geometry
Trigonometry
Material Type:
Diagram/Illustration
Provider:
Florida Center for Research in Science, Technology, Engineering, and Mathematics
Provider Set:
iCPALMS: A Standards-based K-12 Resources and Tools Pathway
Author:
Educational Technology Clearinghouse
Dilating a Line
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This task gives students the opportunity to verify that a dilation takes ...

This task gives students the opportunity to verify that a dilation takes a line that does not pass through the center to a line parallel to the original line, and to verify that a dilation of a line segment (whether it passes through the center or not) is longer or shorter by the scale factor.

Subject:
Mathematics
Geometry
Trigonometry
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Eratosthenes Model
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The Eratosthenes model displays the shadows cast by two gnomons (sticks) at ...

The Eratosthenes model displays the shadows cast by two gnomons (sticks) at different locations on Earth. For one gnomon, Sun is directly overhead (as would be the case if the gnomon was on the Tropic of Cancer at the summer solstice). The other gnomon is due north of the first gnomon. The sizes of the gnomons are greatly exaggerated for visibility. This simulation can be used to help illustrate how Eratosthenes was able to measure the diameter of Earth using the shadows cast by two gnomons, one situated due north of the other, on a day when the southerly gnomon cast no shadow at all. The distance between the two gnomons (along Earth's surface) can be adjusted. The length of the shadow is given, and this length can be used to determine the angle between the gnomon lines and from that the circumference (and diameter, radius, etc) of Earth. Earth can be hidden to give a better view of the relevant geometry. Eratosthenes model is distributed as a ready-to-run (compiled) Java archive. Double clicking the ejs_astronomy_Eratosthenes.jar file will run the program if Java is installed. You can modify this simulation if you have EJS installed by right-clicking within the plot and selecting "Open EJS Model" from the pop-up menu item.

Subject:
Computing and Information
Education
Mathematics
History, Law, Politics
Trigonometry
Physics
Geoscience
Space Science
Material Type:
Full Course
Interactive
Provider:
ComPADRE Digital Library
Provider Set:
ComPADRE: Resources for Physics and Astronomy Education
Author:
Todd Timberlake
From Stargazers to Starships: Trigonometry Proficiency Drill
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This web page provides an elementary trigonometry proficiency drill. Related pages are ...

This web page provides an elementary trigonometry proficiency drill. Related pages are also linked to this page. This is part of an extensive web site, "From Stargazers to Starships", that uses the topics of space exploration and space science to introduce topics in physics and astronomy.

Subject:
Education
Mathematics
Trigonometry
Physics
Material Type:
Assessment
Lecture Notes
Provider:
ComPADRE Digital Library
Provider Set:
ComPADRE: Resources for Physics and Astronomy Education
Author:
David Stern
G-MG Coins in a Circular Pattern
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This task complements ``Seven Circles'' I, II, and III. This is a ...

This task complements ``Seven Circles'' I, II, and III. This is a hands-on activity which students could work on at many different levels and the activity leads to many interesting questions for further investigation.

Subject:
Mathematics
Geometry
Trigonometry
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
G-MG Seven Circles III
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This task provides an opportunity to model a concrete situation with mathematics. ...

This task provides an opportunity to model a concrete situation with mathematics. Once a representative picture of the situation described in the problem is drawn (the teacher may provide guidance here as necessary), the solution of the task requires an understanding of the definition of the sine function. When the task is complete, new insight is shed on the ``Seven Circles I'' problem which initiated this investigation as is noted at the end of the solution.

Subject:
Mathematics
Geometry
Trigonometry
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Getting it Right!
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In this lesson, students will investigate error. As shown in earlier activities ...

In this lesson, students will investigate error. As shown in earlier activities from navigation lessons 1 through 3, without an understanding of how errors can affect your position, you cannot navigate well. Introducing accuracy and precision will develop these concepts further. Also, students will learn how computers can help in navigation. Often, the calculations needed to navigate accurately are time consuming and complex. By using the power of computers to do calculations and repetitive tasks, one can quickly see how changing parameters likes angles and distances and introducing errors will affect their overall result.

Subject:
Engineering
Mathematics
Geometry
Trigonometry
Geoscience
Material Type:
Activity/Lab
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Integrated Teaching and Learning Program,
Janet Yowell
Jeff White
Malinda Schaefer Zarske
Matt Lippis
Penny Axelrad
TeachEngineering.org
Guelph Physics Tutorials: Logarithms
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This website offers a tutorial on logarithms. The tutorial includes an introduction ...

This website offers a tutorial on logarithms. The tutorial includes an introduction to logarithms, example problems, and a series of self-paced questions. This is part of series of tutorials on physics and mathematics used in physics classes.

Subject:
Mathematics
Trigonometry
Physics
Material Type:
Lecture Notes
Provider:
ComPADRE Digital Library
Provider Set:
ComPADRE: Resources for Physics and Astronomy Education
Guelph Physics Tutorials: Trigonometry
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This website offers a tutorial on trigonometry. The tutorial includes an introduction ...

This website offers a tutorial on trigonometry. The tutorial includes an introduction to trigonometry, example problems, and a series of self-paced questions. This is part of series of tutorials on physics and mathematics used in physics classes.

Subject:
Education
Mathematics
Trigonometry
Physics
Material Type:
Lecture Notes
Provider:
ComPADRE Digital Library
Provider Set:
ComPADRE: Resources for Physics and Astronomy Education
Handheld Trigonometry
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Students explore the concept of similar right triangles and how they apply ...

Students explore the concept of similar right triangles and how they apply to trigonometric ratios. Use this lesson as a refresher of what trig ratios are and how they work. In addition to trigonometry, students explore a clinometer app on an Android® or iOS® device and how it can be used to test the mathematics underpinning trigonometry. This prepares student for the associated activity, during which groups each put a clinometer through its paces to better understand trigonometry.

Subject:
Engineering
Mathematics
Trigonometry
Material Type:
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
IMPART RET Program,
Scott Burns
TeachEngineering.org
How Far Can You See?
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This math example shows how to calculate the distance one can see ...

This math example shows how to calculate the distance one can see from different heights using trigonometry. This resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications.

Subject:
Mathematics
Trigonometry
Geoscience
Material Type:
Lecture Notes
Provider:
NASA
Provider Set:
NASA Wavelength
NASA: Pythagorean Theorem
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This resource features an animated Java tutorial that uses geometric overlays to ...

This resource features an animated Java tutorial that uses geometric overlays to show why the Pythagorean Theorem works. The resource was developed by NASA to supplement the algebraic proofs which are typically provided to students for solving problems involving right triangles. Background information on the Pythagorean Theorem and its historical use is included. This resource is part of a larger collection, developed by scientists and teacher workshop participants at NASA's Glenn Learning Research Center.

Subject:
Technology
Education
Mathematics
Trigonometry
Physics
Provider:
ComPADRE Digital Library
Provider Set:
ComPADRE Classroom-Ready Resources
ComPADRE: Resources for Physics and Astronomy Education
Navigating by the Numbers
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In this lesson, students will learn that math is important in navigation ...

In this lesson, students will learn that math is important in navigation and engineering. Ancient land and sea navigators started with the most basic of navigation equations (Speed x Time = Distance). Today, navigational satellites use equations that take into account the relative effects of space and time. However, even these high-tech wonders cannot be built without pure and simple math concepts basic geometry and trigonometry that have been used for thousands of years. In this lesson, these basic concepts are discussed and illustrated in the associated activities.

Subject:
Engineering
Mathematics
Geometry
Trigonometry
Geoscience
Material Type:
Activity/Lab
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Integrated Teaching and Learning Program,
Janet Yowell
Jeff White
Malinda Schaefer Zarske
Penny Axelrad
TeachEngineering.org