Public learning track
Parametric Equations: Plane Curves and Motion Modeling
12th Grade · Math · Open Global Math
8 lessons
Goal
Represent plane curves parametrically, eliminate parameters to obtain Cartesian equations, and model physical trajectory phenomena.
Featured Diagrams
Introduction to Parametric Equations and Curve Tracing
8 lessons
0 of 8 done
- 1Introduction to Parametric Equations and Curve TracingUp nextStart
- 2Eliminating Linear and Algebraic ParametersPremiumNot started yet
- 3Eliminating Trigonometric Parameters Using Pythagorean IdentitiesNot started yet
- 4Parameterizing Lines, Circles, Ellipses, and Line SegmentsNot started yet
- 5Modeling Uniform Linear Motion and Collision CoursesNot started yet
- 6Modeling Projectile Motion Trajectories with Parametric EquationsNot started yet
- 7Cycloids, Lissajous Figures, and Special Parametric CurvesNot started yet
- 8Tangents and Rates of Change on Parametric CurvesNot 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.