Lesson Plan
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#### Polar Graphs

For Teachers 9th - 12th Standards
Young scholars graph polar graphs. In this calculus lesson, students convert between polar and rectangular coordinates. They graph their solution on the TI calculator and make observations.
Lesson Plan
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#### The Solar System

For Teachers 9th - 12th
Young scholars construct a sketch of the planets in our solar system using concentric circles and angles. In this solar system lesson plan, students plot the position of each planet on concentric circles using graph paper. The sun is...
Worksheet
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#### The Dawn Mission: Ion Rockets and Spiral Orbits

For Students 11th - Higher Ed
In this ion rocket and orbits worksheet, students read about the spiral orbit the Dawn spacecraft took due to its ion rocket motor. Students solve 3 problems including finding the path taken by the spacecraft, determining the total path...
Worksheet
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#### Calculating Arc Lengths of Simple Functions-I

For Students 10th - Higher Ed
In this calculating arc lengths activity, students are given 4 simple functions and they use the Pythagorean Theorem and the basic techniques of calculus to find the arc-length formula in order to find the arc-length.
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#### The Ant and The Turntable-Frames of Reference

For Students 11th - 12th
In this frames of reference worksheet, students solve 5 problems given the details of a journey an ant takes from the center of a CD ROM to its edge. Students draw a scaled sketch of the turntable showing the motion of the ant from...
Lesson Plan
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#### Virus and Bacteriophage

For Teachers 5th - 6th
Students examine the differences between a virus and a bacteriophage. They explore various websites, identify the parts of a virus and a bacteriophage, and construct a model of a virus or bacteriophage.
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#### Precalculus Exam

For Students 11th - 12th
In this precalc lesson, students write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.
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#### X Marks the Spot

For Teachers 4th
Fourth graders use games and puzzles to explore co-ordinate systems and their uses. Students are given the opportunity to invent their own systems by locating counters on a sheet of paper and by finding the dead center of a set of objects.
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#### Complex numbers in polar form

For Teachers 9th - 12th
Students plot complex numbers in the polar plane. They convert complex numbers in polar form to rectangular form. Students plot coordinates in the polar plane. They plot complex numbers in the complex plane. Students are asked to...
Worksheet
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#### Complex Analysis: Polar & Exponential Forms

For Students Higher Ed
In this polar and exponential form activity, students use Euler's Formula to write complex numbers in exponential form. They write numbers in rectangular form. This two-page activity contains seven multi-step problems.
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#### Complex numbers in polar form

For Teachers 9th - 12th
Students plot complex numbers in the polar plane. They are asked to list what they believe are the five most famous numbers in mathematics. Students are explained that generally accepted that the five most famous numbers in mathematics...
Worksheet
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#### Polar Equations

For Students Pre-K - Higher Ed
In this precalculus worksheet, students find the solutions to polar equations for the 3 detailed problems using the coordinates and graphing calculators.
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#### Worksheet 37

For Students 11th - Higher Ed
In this math worksheet, students sketch the regions that give rise to the integrals. Then rewrite them as double integrals with the integration order reversed.
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#### Vector Manipulation Unit

For Teachers 9th - 10th
Students are introduced to the concept/idea of a vector, what it represents and why they are used. They develop an understanding of what vectors are, how and why they are used.
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#### Worksheet 34

For Students 11th - Higher Ed
In this math worksheet, students find the plane perpendicular to the path (t2, t, cos 2πt) at time t = 1/4. Then they determine the location in which the object is moving the fastest.
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#### Worksheet 27

For Students 11th - Higher Ed
In this math worksheet, students examine the equations for the planets of Mercury and Saturn. Then they find the distance of Saturn’s closest and farthest approach to the sun.
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#### Worksheet 29

For Students 11th - Higher Ed
In this math worksheet, students investigate how time is related to the concept of increasing or decreasing velocity. Then they consider times and answer the questions of whether the velocity is changing.
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#### Coordinates

For Teachers 9th - 12th
Students use cartesian coordinates (x,y,z) in 3-dimensional space. [Optional: appreciate there exist two ways of defining the z axis, and which of them is used.] They become familiar with the tools and terms used by surveyors.
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#### Ellipses And Kepler's First Law

For Teachers 9th - 12th
Students explain that planets actually orbit the center of gravity of the solar system, and that distant planets may be detected by motions of their central star around the centers of gravity of their planetary systems.
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#### Vectors Via the Calculator

For Teachers 8th
Eighth graders resolve vector problems without the knowledge of math.  In this vectors lesson students with poor math skills get a chance of passing the course.