AS 91573 · 3 credits · Internal
Conic sections
Apply the geometry of conic sections in solving problems
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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.
What to do, grades and common mistakes
- ·Select the right method or equation type (Cartesian or parametric) to tackle the problem
- ·Write and work with equations for circles, ellipses, parabolas, and hyperbolas in different forms
- ·Use properties of conic sections like tangent lines, normals, and key features to solve problems
- ·Sketch and interpret graphs of conic sections accurately
- ·Explain your working and relate your answers back to the problem context using correct maths language
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.