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Exam Strategy

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Readiness Check

You are ready when you can:

  • Verify a parametrization by substitution.
  • Build (t, f(t)) from y = f(x) or solved forms.
  • Write ellipse and hyperbola trig parametrizations.
  • Connect implicit, parametric, and graph views.

Course vs AP Exam

Course scope only (Unit 4 additional topic; not on the AP Exam). These skills still matter for Unit 4 coursework and readiness for 4.8.

Tactics (course assessments)

1. Write implicit equation and proposed x(t), y(t). 2. Substitute and simplify; must hold for all t in domain. 3. For conics: match 4.7.B.1 solve method or B.2/B.3 standard forms. 4. State t-domain explicitly. 5. Technology-check graph alignment (2.A).

Common Traps

  • Hyperbola sec/tan pattern reversed by opening.
  • Missing verification step.
  • Domain includes t where sec/tan undefined.
  • Parametrization traces only part of implicit curve without noting it.

Quick Checklist

  • [ ] Substitution verification shown
  • [ ] Correct solve-for-x or solve-for-y method
  • [ ] Ellipse/hyperbola trig form matches opening
  • [ ] Domain of t stated
  • [ ] Representations aligned

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