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Worksheet
Curated OER

Angular Diameter of the Sun

For Students 8th - 11th
Starting with a paragraph of information presenting the different ways we can observe planetary objects, pupils work through these instructions to see how they can observe and measure angles.  Your class will discover how these angles...
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Lesson Plan
Institute of Electrical and Electronics Engineers

Tinkering with Tops

For Teachers 3rd - 12th Standards
Get kids' heads spinning by challenging them to design a top that will rotate for a minimum of 10 seconds without leaving a 30-cm circle. Groups of learners collaborate through a planning stage, testing stage, and evaluation stage. Some...
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Worksheet
Curated OER

The Webb Space Telescope: Detecting Dwarf Planets

For Students 9th - 12th
For this detecting dwarf planets worksheet, students read about the Webb Space Telescope that will be launched in 2014 to detect dwarf planets using an infrared telescope. Students solve 3 problems and create a graph for each using given...
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Worksheet
Curated OER

Chandra Explores Angular Size

For Students 9th - 12th
In this angular size learning exercise, students read about how astronomers determine the size of objects in the sky by using their angular size. Students are given equations that allow scientists to convert the angular size into...
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Worksheet
Curated OER

Angular Size and Similar Triangles

For Students 8th - 10th
In this angular size and similar triangles worksheet, students use the properties of similar triangles and the ratios of sides to solve for unknowns in given diagrams.
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Assessment
Concord Consortium

Spinning an Old Record

For Students 11th - 12th Standards
Take a trip back in time to examine angular velocity. Using the revolutions per minute, learners calculate the speed of a point on a 33 record. They compare the speed of a point on the edge of the record to the speed of a point closer to...
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Lesson Plan
Curated OER

Small Angle Calculations

For Teachers 4th - 7th
Young scholars work with circles, angles and estimating angles in the night sky. In this circles and angles lesson, students practice measuring a degree using the circumference of a circle and apply the degree to determine a way to use...
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Worksheet
Curated OER

Angular Size and Velocity

For Students Higher Ed
In this distance learning exercise, students calculate the angular size or angular diameter of objects at a given distance. This learning exercise has 6 problems to solve.
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Worksheet
Curated OER

Deep Impact-Comet Flyby

For Students 9th - 11th
In this comet and angles learning exercise, students read about the Deep Impact spacecraft that flew by the comet Tempel-1. They use a given formula to find the angular diameter of the comet and solve 4 problems using the equation.
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Worksheet
Curated OER

Getting an Angle on the Sun and Moon

For Students 7th - 10th
In this Sun and Moon worksheet, students solve 6 problems about the angular scale of the images given, the size of the features on the images and the area of the features shown.
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Worksheet
Curated OER

The Last Total Solar Eclipse...Ever!

For Students 8th - 10th
In this total solar eclipse worksheet, students solve 7 problems about the angular size of the moon, the distance the sun and moon should be to match in diameter, the number of years it will take for the moon to be at a certain distance...
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Worksheet
Curated OER

Exploring a Galaxy

For Students 9th - 11th
For this galaxy worksheet, students use the Internet or other resources to answer 13 questions about the galaxy NGC-1232. They are given a photograph of the galaxy to help determine the width and diameter of certain regions of the galaxy.
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Activity
Mrs. Burke's Math Page

The Amazing Pi Race

For Teachers 7th - 12th Standards
Add a sense of excitement to your math class with this race across the country. Using their knowledge of all things circular, young mathematicians work in pairs answering a series of pi-related word problems as they hop from one city to...
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Worksheet
Curated OER

The Most Important Equation in Astronomy!

For Students Higher Ed
In this astronomy optics worksheet, students calculate the angular resolution and maximum resolution for given telescope specifics. This worksheet has 3 problems to solve.
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Worksheet
Curated OER

A Lunar Transit of the Sun from Space

For Students Higher Ed
In this moon worksheet, students determine the angular size of the moon and draw a scaled model of the Earth, moon, and sun and given distances and positions. This worksheet has 4 problems to solve.
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Worksheet
Curated OER

Season Worksheet #5

For Students 6th - 9th
Sunrise, sunset, swiftly fly the years! Your earth scientists can also fly through a year of daylight data. They analyze a graph and then answer five multiple choice questions about the rising and setting of the sun, the total number of...
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Unit Plan
Mathematics Vision Project

Module 6: Trigonometric Functions

For Students 9th - 12th Standards
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
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Worksheet
Curated OER

Super-Fast Solar Flares!

For Students 9th - 12th
In this solar flares learning exercise, students observe a sequence of figures of a solar flare observed in 2003 from the Ramaty High Energy Solar Spectroscopic Imager satellite. Students solve 6 problems including finding the scale of...
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Worksheet
Curated OER

The Comet Encke Tail Disruption Event

For Students 9th - 12th
In this comet tail disruption worksheet, students solve 7 problems using two images from NASA's STEREO satellite showing the breakup of the comet's tail. Students analyze the diagram and use the scale to solve the problems about time,...
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Interactive
Curated OER

Sunspots and the Sun's Rotation

For Students 6th - 9th
In this sun worksheet, students use a Sunspotter to observe the rotation of the sun by identifying the presence of sunspots and watching them rotate over time. Students calculate how many days it takes to see the sunspots they observe in...
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Worksheet
Curated OER

Angle and Radian Measure

For Students 9th - 10th
In this angle and radian measure learning exercise, students find the measurement of a central angle. Students determine the speed of rotation, linear speed of a point, and radians per second. This two-page learning exercise contains...
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Lesson Plan
Curated OER

Predicting the Configuration of the Satellites of Jupiter

For Teachers 3rd - 4th
Students plot the positions of the planet Jupiter while predicting what the configuration system looks like from Earth. In this configuration of satellites lesson, students photograph Jupiter and its moons to record the motions of the...
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Lesson Plan
Curated OER

The Undiscovered Planet

For Teachers 7th - 8th
Students find a planetary object using star fields.  In this investigative lesson students determine the distance to an object using trigonometric parallax.