Unit route
Complete lessons in sequence, use diagnostic evidence to select a pathway, conduct the investigation, submit corrected work, and demonstrate mastery at 80% or above.
Weeks 27, 28, 29 · 7 college lessons
Polar Coordinates & Polar Calculus
How do radial coordinates reveal symmetry, periodicity, intersections, tangents, areas, lengths, and conic structure?
Pathways
Lesson 01 · Week 27
Polar Coordinates, Equivalence & Conversion
Moving between cartesian and polar descriptions.
Lesson 02 · Week 27Graphing Polar Curves & Symmetry Tests
Using key angles, sign, periodicity, and symmetry.
Lesson 03 · Week 27Polar Derivatives & Tangent Slopes
Deriving dy/dx through parametric x(θ),y(θ).
Lesson 04 · Week 28Area in Polar Coordinates
Integrating sector-area differentials.
Lesson 05 · Week 28Intersections, Loops & Overlap
Solving geometric intersections while accounting for the pole and alternate representations.
Lesson 06 · Week 29Polar Arc Length
Accumulating radial and angular change.
Lesson 07 · Week 29Polar Conics, Spirals & Applied Modelling
Interpreting focus-directrix forms and radial growth.