Public learning track
Polar, Cylindrical, and Spherical Coordinate Systems
12th Grade · Math · Open Global Math
9 lessons
Goal
Locate positions and convert equations between Cartesian, Polar $(r, \theta)$, Cylindrical $(r, \theta, z)$, and Spherical $(\rho, \theta, \phi)$ coordinates, and graph polar curves.
Featured Diagrams
The Polar Coordinate Grid and Multiple Representations of Points
9 lessons
0 of 9 done
- 1The Polar Coordinate Grid and Multiple Representations of PointsUp nextStart
- 2Converting Points Between Cartesian and Polar CoordinatesPremiumNot started yet
- 3Converting Equations Between Cartesian and Polar FormsNot started yet
- 4Graphing Polar Curves: Roses, Limaçons, and SpiralsNot started yet
- 5Polar Equations of Conic Sections with Foci at the PoleNot started yet
- 6Intersections and Digital Graphing of Polar CurvesNot started yet
- 7Cylindrical Coordinates in Three-Dimensional SpaceNot started yet
- 8Spherical Coordinates in Three-Dimensional SpaceNot started yet
- 9Navigational and Physical Modeling Across Spatial Coordinate SystemsNot started yet
Curriculum Framework
12th Grade · Math · Open Global Math
1
10 lessons
Advanced Cartesian Lines, Circles, and Tangent-Normal Systems
Analyze straight lines, general and standard forms of circles, and solve geometric problems involving tangents, normals, and intersections.
2
9 lessons
Conic Sections: Loci, Standard Equations, and Optical Properties
Analyze parabolas, ellipses, and hyperbolas through planar conic cuts, focus-directrix-eccentricity locus definitions, and reflective applications.
3
8 lessons
Parametric Equations: Plane Curves and Motion Modeling
Represent plane curves parametrically, eliminate parameters to obtain Cartesian equations, and model physical trajectory phenomena.
4
9 lessons
Polar, Cylindrical, and Spherical Coordinate Systems
Locate positions and convert equations between Cartesian, Polar $(r, \theta)$, Cylindrical $(r, \theta, z)$, and Spherical $(\rho, \theta, \phi)$ coordinates, and graph polar curves.