We'll first learn how the polar coordinate system works using angles in degrees. Next we'll describe features in the coordinate plane in polar terms, before progressing to arclengths and radians as a measurement of angle.

Locate points in terms of their angle and distance from the origin.

Plot points in the polar coordinate plane.

Polar Coordinates

/courses/polar-coordinate-plane/polar-coordinates/angle-and-radius/

Angle and Radius

/courses/polar-coordinate-plane/polar-coordinates/plotting-polar-coordinates/

Plotting in Polar

/courses/polar-coordinate-plane/polar-coordinates/identifying-points-polar/

Identifying Points

/courses/polar-coordinate-plane/polar-coordinates/negative-angles/

Negative Angles

/courses/polar-coordinate-plane/polar-coordinates/beyond-360/

Beyond 360°

/courses/polar-coordinate-plane/polar-coordinates/practice/polar-coordinate-plane-level-1-review-1/

Level Review

Polar Gridlines

/courses/polar-coordinate-plane/polar-gridlines/radial-lines/

Radial Rays

/courses/polar-coordinate-plane/polar-gridlines/circular-gridlines/

Circular Gridlines

/courses/polar-coordinate-plane/polar-gridlines/annulus-polar/

Annuli and Disks

/courses/polar-coordinate-plane/polar-gridlines/sector-polar/

Describing Sectors

/courses/polar-coordinate-plane/polar-gridlines/selecting-points-polar/

Selecting Points

/courses/polar-coordinate-plane/polar-gridlines/identify-features-polar/

Identifying Features

/courses/polar-coordinate-plane/polar-gridlines/practice/polar-coordinate-plane-level-2-review-1/

Relate length of arc on a unit circle to angle.

Arc Lengths

/courses/polar-coordinate-plane/arclengths/arcs-and-arclength/

Arcs and Arc Length

/courses/polar-coordinate-plane/arclengths/arclengths-and-angles/

Arc Lengths and Angles

/courses/polar-coordinate-plane/arclengths/angles-from-arclengths/

Angles from Arc Lengths

/courses/polar-coordinate-plane/arclengths/practice/polar-coordinate-plane-level-3-review-1/

Relate angles in radians to arclengths on the unit circle.

Convert between degree and radian angle measurements.

Radians

/courses/polar-coordinate-plane/radians/radians-polar/

Angles in Radians

/courses/polar-coordinate-plane/radians/plotting-with-radians/

Plotting with Radians

/courses/polar-coordinate-plane/radians/radian-coordinates/

Radian Coordinates

/courses/polar-coordinate-plane/radians/regions-with-radians/

Regions with Radians

/courses/polar-coordinate-plane/radians/radian-features/

Radian Lines and Sectors

/courses/polar-coordinate-plane/radians/practice/polar-coordinate-plane-level-4-review-1/

Use rotations and dilations to transform points on the polar plane.

Perform rotation and dilation using coordinate-wise manipulations.

Transformations

/courses/polar-coordinate-plane/transformations/polar-rotation-direct/

Rotating Points

/courses/polar-coordinate-plane/transformations/polar-rotation-coordinates/

Coordinate-Wise Rotation

/courses/polar-coordinate-plane/transformations/polar-dilation-direct/

Dilating Points

/courses/polar-coordinate-plane/transformations/polar-dilation-coordinates/

Coordinate-Wise Dilation

/courses/polar-coordinate-plane/transformations/polar-combining-transformations/

Combining Transformations

/courses/polar-coordinate-plane/transformations/polar-choosing-transformations/

Choosing Transformations

/courses/polar-coordinate-plane/transformations/practice/polar-coordinate-plane-level-5-review-2/

Learn to describe the world using the language of distance and angle.

Master the fundamentals of polynomials, one of the most important families of functions in all of algebra.

Polar Coordinate Plane

Level 1Polar Coordinates

Level 2Polar Gridlines

Level 3Arc Lengths

Level 4Radians

Level 5Transformations

Course description

Topics covered

Prerequisites and next steps