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Exam Strategy

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Readiness Check

You are ready when you can:

  • Graph basic r = f(theta) on a stated interval.
  • Explain theta input and r output roles.
  • Restrict domain to show a desired portion.
  • Read r from a polar graph at a given angle.

On the AP Exam

  • MCQ: identify graph type, read r, domain restriction effects.
  • FRQ: construct/describe polar graphs (skills 2.B, 3.A).

Tactics

1. Make a short (theta, r) table first. 2. Mark theta interval endpoints before sketching. 3. For circles: recognize r = a, r = a cos theta, r = a sin theta. 4. Label at least one angle and radius on FRQ sketches. 5. Check a point with x = r cos theta, y = r sin theta when unsure.

Common Traps

  • Plotting against x instead of theta conceptually.
  • Showing full curve when problem restricts theta.
  • Misreading negative r direction.
  • Verbal description that ignores distance-from-origin language.

Quick Checklist

  • [ ] r = f(theta) stated
  • [ ] Theta domain noted
  • [ ] Table or tech used appropriately
  • [ ] Graph labeled
  • [ ] Input/output language correct

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