Conic sections · AS 91573
Apply the geometry of conic sections in solving problems
Apply the geometry of conic sections in solving problems
You need to solve real-world and maths problems using what you know about conic sections—circles, ellipses, parabolas, and hyperbolas. This means being able to write equations for these curves, sketch their graphs, and use their special properties (like tangent lines) to work through problems. You're expected to show you understand how these shapes work and can explain your reasoning clearly.
You apply conic section methods correctly and show you know the key concepts and terms, solving the problem in a straightforward way.
You connect different representations (like equations and graphs) or show you understand the concept by following a logical sequence of steps that relates your findings back to the context.
You develop a chain of logical reasoning or proof, devise a strategy to tackle an unfamiliar problem, and communicate your mathematical insight using correct statements throughout.
Standards typically taken alongside or after this one. Same subject, grouped by level.