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Lesson Plan
Curated OER

Polar And Cartesian Coordinates

For Teachers 9th - 12th
Students engage in a lesson plan that is about the study of Cartesian and Polar Coordinates. They play a game of Battleship to create the context for the lesson plan. The examples in the lesson plan can be used as a guide for the...
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Lesson Plan
Curated OER

Graphing Polar Coordinates

For Teachers 9th - 12th
Students engage in a lesson that is about the plotting of polar coordinates while graphing equations. They plot multiple points with the help of a graphing calculator and using coordinate graph paper. Students identify the pattern known...
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Activity
Mathematics Archives

Math Archives: Visual Calculus: Polar Coordinates

For Students 9th - 10th
This site offers a tutorial for Polar Coordinates. After actively involving in the site, students should be able to convert from rectangular coordinates to polar and from polar to rectangular. Students will also be able to plot points...
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Online Course
Massachusetts Institute of Technology

Mit: Open Course Ware: Calculus (Textbook Study Guide)

For Teachers 9th - 10th
The online course consists of a study guide about calculus. Topics included are differentiation, vectors, infinite series, polar coordinates, and integration.
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Online Course
Massachusetts Institute of Technology

Mit: Open Course Ware: Calculus (Textbook Instructor's Manual)

For Teachers 9th - 10th
The online course consists of a textbook instructor's manual about calculus concepts. Topics included are differentiation, vectors, infinite series, polar coordinates, and integration.
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Online Course
Massachusetts Institute of Technology

Mit: Open Course Ware: Calculus (Textbook)

For Teachers 9th - 10th
The online course consists of a textbook about calculus concepts. Topics included are differentiation, vectors, infinite series, polar coordinates, and integration.
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Activity
University of Saskatchewan (Canada)

University of Saskatchewan: Complex Numbers

For Students 9th - 10th Standards
The University of Saskatchewan's Department of Mathematics and Statistics provides high school students with an online tutorial on complex numbers. Students can access accompanying examples within the tutorial. After you can also test...
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Graphic
Other

Calculus Animations With Mathcad: Polar Curves

For Students 9th - 10th
Contains an animation that will show you how the graphs of a number of polar equations are graphed. (Page may take some time to load completely.)
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Activity
Other

Edwin's Animated Images: Hyperbola

For Students 9th - 10th Standards
This site gives the focus/directrix definition of a conic. Also includes specific definition for the parabola, ellipse, and hyperbola. Includes equations for the conics in both rectangular and polar coordinates.
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Handout
Wolfram Research

Wolfram Math World: Parabola

For Students 9th - 10th Standards
This is an excellent site on parabolas. Examples and formulas are given.
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Handout
Wolfram Research

Wolfram Math World: Polar Coordinates

For Students 9th - 10th
This math link contains a plethora of information on Polar coordinates. The site begins with a diagram illustrating the measurements used when working with polar coordinates then goes into detail on specifics of using this coordinate...
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Activity
Johan Claeys

Math Abundance: From a Cartesian Equation to a Polar Equa

For Students 9th - 10th
Shows how to convert a cartesian equation (rectangular coordinates) to a polar equation.
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Activity
University of St. Andrews (UK)

University of St. Andrews: Cissoid of Diocles

For Students 9th - 10th Standards
Shows the a graph of the Cissoid of Diocles and the formula in rectangula and polar coordinates. Also includes a history of the cissoid.
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Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Polar Coordinates

For Students 9th - 10th Standards
Hotmath provides 20 practice problems relating to polar coordinates and complex numbers. Each of the practice problems include a step-by-step guide for solving.
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Activity
University of Vienna (Austria)

Maths Online

For Students 9th - 10th Standards
This site consists of interactive lessons on a multitude of math topics including sets, drawing plane and coordinate system, variables, equations, and functions. You may also view this Vienna University site in German.
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Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Lessons: Polar Coordinates

For Teachers 9th - 10th Standards
Introduces students to graphing in the polar coordinate plane.
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Graphic
Math2

Math2: Circles

For Students 9th - 10th Standards
This site has many useful formulas and examples relating to circles, including related definitions, circumference of a circle, area of a circle, length of a circular arc, area of a circular sector, equation of a circle in cartesian...
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Handout
University of Regina (Canada)

University of Regina: Math Central: Why Are Satellite Dishes Parabolic?

For Students 9th - 10th
This site explains why satellite dishes are parabolic.
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Activity
Texas Instruments

Texas Instruments: Numb3 Rs: Trawling for an Intersection

For Teachers 9th - 10th
Based off of the hit television show NUMB3RS, this lesson is designed to draw a connection between polar and parametric equations, as well as to expose students to the Trawler Problem (involving a fast boat chasing a slower boat which...
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Interactive
University of Vienna (Austria)

Maths Online: Drawing Plane and Coordinate System

For Students 9th - 10th Standards
Interact with these Applets on the Cartesian coordinates, the Coordinate system, the Polar coordinates, and the Oblique coordinates.
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Handout
Wikimedia

Wikipedia: Centripetal Force

For Students 9th - 10th
Wikipedia's site on centripetal force provides a section explaining the difference between centripetal force and centrifugal force. Includes formulas and hyperlinked terms.
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Activity
Math Medics

S.o.s. Math: The Polar Form of a Complex Number

For Students 9th - 10th Standards
This lesson from S.O.S. Math provides great information on the polar form of a complex numbers. It has many formulas and examples, and it also discusses the polar coordinates as well. Links are provided for additional subjects.
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Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Coordenadas Polares

For Students 9th - 10th Standards
Learn how to represent points and curves on the polar coordinate system.
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Handout
Other

Stat Soft: Statistics Glossary

For Students 9th - 10th
Dozens of statistical terms are defined and illustrated in this glossary.