Home > Subjects > Mathematics > Level 3 - calculus > 3.5 Conic sections (AS90639) > Achievement criteria
- Subject: Mathematics
- AS: 90639
- Level: 3
- Credits: 3
- External
Calculus 3.5 Sketch graphs of conic sections and write equations related to conic sections
Achievement criteria
The level of achievement that you reach is decided by the questions that you answer correctly.
Achievement
- You sketch graphs of conic sections and write equations related to conic sections, which will be selected from the circle, ellipse, parabola, and hyperbola. Completion of the square may be required.
- Appropriate features must be indicated, for example asymptotes and intercepts.
- Equations may be in Cartesian or parametric form.
- Writing equations will be for a given graph of a conic section.
Achievement with Merit
- You need to reach Achievement.
- You solve problems involving modelling with conic sections that may include contexts such as:
- bridges, cross-sections of tunnels, profiles of shadows formed by light shades, ovals, cross-sections of punchbowls.
- Problems may involve finding:
- Note: implicit or parametric differentiation may be required to find equations of tangents or normals.
Achievement with Excellence
- You need to reach Achievement with Merit.
- You solve more complex conic section problems that may involve:
- a proof
- a chain of reasoning
- loci
- knowledge of eccentricity or directrix.
