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How Tall is that Tree?

For Teachers 4th - 12th
Students apply their math skills to develop an accurate estimate of the height of a tall tree. Three different methods are outlined. All grade levels should be able to perform the shadow method and the proportional method.
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Exploration of Trigonometry

For Teachers 6th - 12th Standards
Learners explore how changing an angle in a triangle changes the ratio of the sides. They also explore how changing the sides can make changes to an angle in a triangle. Finally, they determine how two different pairs of sides, in the...
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Seeing Solar Storms in STEREO-I

For Students 8th - 10th
In this geometric calculations of solar storms activity, students use a diagram indicating the location of 2 STEREO satellites, the earth and the sun to calculate the distance between a Coronal Mass Ejection and the Earth. They use...
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Rita's Ice Problem

For Students 11th
For this algebra worksheet, 11th graders calculate how many different choices they can create making their icy. The have a choice of 26 different flavors of ice and 5 different flavors of ice cream. There is a solution to this problem.
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Concepts in Precalculus 1: Trigonometry

For Teachers 11th - 12th
Learners investigate trigonometry.  In this Algebra II/Pre-calculus/Trigonometry lesson, students explore Islamic achievements in mathematics as they calculate angles and distances using the Law of Sines and the Law of...
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Depression and Elevation Angles

For Students 9th - 12th
In this angles worksheet, students utilize trigonometry to determine angles of elevation and depression. There are 7 questions and some contain pictures.
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Taylor Polynomials

For Teachers 10th - 12th Standards
Pupils graph Taylor polynomials in this calculus lesson plan. They observe the graphs for the expansion of Taylor polynomial functions and use the Ti calculator to help create visuals of the graphs.
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Introduction To Orbital Mechanics

For Teachers 11th - 12th
Students use NASA drawings to build a model satellite for a specific mission. They design a set of drawings for their satellite showing its subsystems as well.
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Complex Analysis: Complex Exponential

For Students Higher Ed
In this complex exponential worksheet, students identify an entire function and explore how to show a function is analytic. This two-page worksheet contains four problems, as well as explanations and examples.
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Area of a Triangle

For Teachers 9th - 11th
In this geometry worksheet, students solve problems by finding the area of a triangle. They are given the sides and asked to solve using the Pythagorean Theorem. There are 72 problems.
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Saving Energy Through Ecological Landscape Design

For Teachers 9th - 12th
High schoolers are able to transcribe to scale the plant features of a common landscape. They determine true north and south and collect and record data on a table. Students calculate a rating for and describe a definition of...
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Noon Project Revisited

For Teachers 4th - 12th
Students, just like Eratosthenes, try to use math to calculate immeasurable objects. Teachers need to try out the calculations before having your class do them. They should take notes to be included with their own calculations and drawings.
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Trigonometry in Action

For Teachers 9th - 12th
Young scholars examine how to apply the principles of trigonometry in authentic measurement situations. They work in groups to determine the height of an object such as a flag pole by determine the angle from their position to the top.
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Functions of Triangles

For Students 11th - Higher Ed
In this math worksheet, students find the functions for each of the triangles. Then they determine the reference angles from standard position.
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Word Ladders

For Students 9th - 12th
In this secondary mathematics worksheet, students follow Lewis Carroll’s rules to solve Word Ladders.  The one page worksheet contains two word ladder problems. Solutions are provided. 
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Solving Trigonometry Problems in Two and Three Dimensions

For Students 11th - 12th
In this Pre-calculus/Trigonometry worksheet, students solve trigonometry problems in two and three dimensions. The eleven page worksheet contains explanation, examples, and twenty problems. Answers are not included.
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Right Triangles and The Pythagorean Theorem

For Teachers 8th - 9th
Learners play a game to reinforce concepts of the Pythagorean Theorem. In this geometry lesson, students find the missing angle and lengths of a right triangle. They use properties of trigonometry about sine, cosine and tangent to solve...
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Simple Harmonic Motion

For Teachers 10th - 12th
Young scholars solve problems involving graphs. In this calculus lesson, students relate harmonic motion to velocity. They discuss the derivative and the effect on the functions created.
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Exploring Geometric Mean

For Teachers 8th - 10th
Students solve problems using geometric means. In this geometry lesson plan, students create altitudes in right triangles. They use Cabri software to move the triangle around and observe different sides and angles.
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Exploring Geometric Mean

For Teachers 8th - 10th
Student identify the solution using geometric mean. In this geometry lesson, students create right triangles where the altitude of the triangle is the side containing the right angle. They modify shapes using Cabri software and observe...
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La Toteca- A Tropical Paradise

For Teachers 7th - 11th
Students collect data on the time of the ferry. In this algebra lesson, students use the data to predict a ferry schedule. They also compute the depth where oxygen would be needed when diving.
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Using Trigonometry

For Teachers 5th
Fifth graders explore the use of trigonometry to find unknown sides and angles in right-angled triangles, taking the concepts that were developed in the previous unit and looking at different ways of practicing the new skills. Students...
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Exploring Centers of Triangles

For Teachers 7th - 10th
Students explore properties of triangles using angle bisectors, incenters, circles, midpoints, and altitudes. They use Geometer's Sketchpad in order to create triangles and their properties.
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BASEBALL HOME RUN

For Teachers 7th - 9th
Students determine whether a hit baseball is a home run or not by utilizing parametric equations to describe the path of the ball. They assess the importance of angles and velocity needed to hit a home run. In addition, in their own...

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