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Answer Key — Parametric Equations, Polar Coordinates, and Vector-Valued Functions

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Calculus BC · AP

Do not share with students before practice tests.

Worksheets — Sets 1–10

| Set | Guidance | | --- | --- | | Set 1 | Parametric Equations, Polar Coordinates, and Vector-Valued Functions — verify written work and accept reasonable drawings. | | Set 2 | Parametric Equations, Polar Coordinates, and Vector-Valued Functions — verify written work and accept reasonable drawings. | | Set 3 | Parametric Equations, Polar Coordinates, and Vector-Valued Functions — verify written work and accept reasonable drawings. | | Set 4 | Parametric Equations, Polar Coordinates, and Vector-Valued Functions — verify written work and accept reasonable drawings. | | Set 5 | Parametric Equations, Polar Coordinates, and Vector-Valued Functions — verify written work and accept reasonable drawings. | | Set 6 | Parametric Equations, Polar Coordinates, and Vector-Valued Functions — verify written work and accept reasonable drawings. | | Set 7 | Parametric Equations, Polar Coordinates, and Vector-Valued Functions — verify written work and accept reasonable drawings. | | Set 8 | Parametric Equations, Polar Coordinates, and Vector-Valued Functions — verify written work and accept reasonable drawings. | | Set 9 | Parametric Equations, Polar Coordinates, and Vector-Valued Functions — verify written work and accept reasonable drawings. | | Set 10 | Parametric Equations, Polar Coordinates, and Vector-Valued Functions — verify written work and accept reasonable drawings. |

Worksheets — Sets 11–20

| Set | Guidance | | --- | --- | | Set 11 | Parametric Equations, Polar Coordinates, and Vector-Valued Functions — verify written work and accept reasonable drawings. | | Set 12 | Parametric Equations, Polar Coordinates, and Vector-Valued Functions — verify written work and accept reasonable drawings. | | Set 13 | Parametric Equations, Polar Coordinates, and Vector-Valued Functions — verify written work and accept reasonable drawings. | | Set 14 | Parametric Equations, Polar Coordinates, and Vector-Valued Functions — verify written work and accept reasonable drawings. | | Set 15 | Parametric Equations, Polar Coordinates, and Vector-Valued Functions — verify written work and accept reasonable drawings. | | Set 16 | Parametric Equations, Polar Coordinates, and Vector-Valued Functions — verify written work and accept reasonable drawings. | | Set 17 | Parametric Equations, Polar Coordinates, and Vector-Valued Functions — verify written work and accept reasonable drawings. | | Set 18 | Parametric Equations, Polar Coordinates, and Vector-Valued Functions — verify written work and accept reasonable drawings. | | Set 19 | Parametric Equations, Polar Coordinates, and Vector-Valued Functions — verify written work and accept reasonable drawings. | | Set 20 | Parametric Equations, Polar Coordinates, and Vector-Valued Functions — verify written work and accept reasonable drawings. |

Review tiers 1–10

  • Checklists are parent-judged.
  • Written items: verify against practice set patterns.
  • Standard text: Defining and Differentiating Parametric Equations CHA-3 Second Derivatives of Parametric Equations CHA-3 Derivatives allow us to solve real-world problems involving rates of change. Finding Arc Lengths of Curves Given by Parametric Equations CHA-6 Definite integrals allow us to solve problems involving the accumulation o Defining and Differentiating Vector-Valued Functions CHA-3 Derivatives allow us to solve real-world problems involving rates of change. Integrating Vector Valued Functions FUN-8 Solving an initial value problem allows us to determine an expression for the position Solving Motion Problems Using Parametric and Vector-Valued Functions § Classroom Resource > Vectors § External Resource >

Practice test scoring

| Tier | Pass guidance | | --- | --- | | 1–3 | Most oral tasks smooth; majority of written correct | | 4–6 | 7/10+ total with clear understanding | | 7–8 | 9/12+ with explanations | | 9–10 | Near-perfect; ready to move on |

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