Teacher Resources for Instructional Planning


Precalculus Std 11: Convert coordinates, equations, and complex numbers in Cartesian form to polar form and from polar form to Cartesian form. Graphing simple polar equations in the polar coordinate plane Example: graphing r = 2+2cosf or r = 2 + sin3f Graphing polar coordinates and complex numbers

Lesson Plans Chicago Public Schools The lesson for day 152 define polar coordinates and explains how to convert between polar and rectangular coordinates. Live Math In this tutorial, we define polar coordinates. We convert from polar coordinates to rectangular coordinates and from rectangular coordinates to polar coordinates. Conversions This lesson converts between polar and rectangular equations and provides graphs. Polar and Complex Numbers This lesson tells how to convert between rectangular, trigonometric, and polar forms. A quiz is included. It also includes the exponential form. Polar Form of a Complex Number This is a lengthy and attractive lesson on complex numbers in polar form. There are direct applications with electricity using capacitance and resistance. Chicago Public Schools The lesson for day 153 deals with graphing of polar equation. Ready-made polar graph paper is included. Shooting A DART At A Satellite Use polar functions to see how NASA makes such precision intersections possible.

Resources: Math World This page defines and illustrates polar coordinates with further calculus applications. Polar Applets Applet that graphs polar coordinates. Students can manipulate the coordinates. Orbital Mechanics This is an advanced link on the orbits of planets. The author introduces and explains polar coordinates to preface graphing ellipse in polar form. Quick Polar Coordinates Colorful representation of polar coordinates. Spirals and Cycloids Applet that graphs logarithmic spirals and cycloids. Famous Curves Index Click on the name of a curve to see its history and some of its associated curves. The links below cannot be accessed at school, but should be accessible from home. Polar Conversions This lesson defines polar coordinates and demonstrates conversions between polar and Cartesian coordinates. Representation of Complex Numbers This is a lesson relating the different forms for complex numbers.
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