Public learning track
Advanced Linear Coordinate Geometry and Distance Optimization
11th Grade · Math · Open Global Math
8 lessons
Goal
Master linear equations in general and point-slope forms, calculate perpendicular distances, analyze families of lines, and solve geometric optimization problems on the Cartesian plane.
Featured Diagrams
Converting Between Point-Slope and General Form of Linear Equations
8 lessons
0 of 8 done
- 1Converting Between Point-Slope and General Form of Linear EquationsUp nextStart
- 2Intercept Form and Normal (Hesse) Form of Straight LinesPremiumNot started yet
- 3Equations of Parallel and Perpendicular LinesNot started yet
- 4Calculating the Acute Angle Between Two Intersecting LinesNot started yet
- 5Perpendicular Distance from a Point to a LineNot started yet
- 6Perpendicular Distance Between Two Parallel LinesNot started yet
- 7Concurrent Lines and the Family of Lines Through an IntersectionNot started yet
- 8Geometric Distance Optimization on the Coordinate PlaneNot started yet
Curriculum Framework
11th Grade · Math · Open Global Math
1
8 lessons
Advanced Linear Coordinate Geometry and Distance Optimization
Master linear equations in general and point-slope forms, calculate perpendicular distances, analyze families of lines, and solve geometric optimization problems on the Cartesian plane.
2
7 lessons
Coordinate Geometry of Circles: Equations, Chords, and Tangents
Analyze circle equations in standard and general forms, determine centers, radii, chord lengths, tangent lines, and intersection properties algebraically.
3
8 lessons
Conic Sections: Geometric Loci and Standard Equations
Understand conics as double-cone cross sections and geometric loci, deriving and graphing standard Cartesian equations of parabolas, ellipses, and hyperbolas.
4
5 lessons
Conics in Polar Coordinates and General Second-Degree Curves
Classify general second-degree quadratic equations via the algebraic discriminant, rotate coordinate axes, and represent conic sections in polar form.
5
7 lessons
Parametric Curves: Conversions and Geometric Trajectories
Model plane curves parametrically, convert between parametric and Cartesian representations, and analyze 2D kinematics, projectile motion, and cycloids.