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# Unit: Parametric equations, polar coordinates, and vector-valued functions

AP Calc:
CHA (BI)
,
CHA‑3 (EU)
,
CHA‑5 (EU)
,
CHA‑6 (EU)
,
FUN (BI)
,
FUN‑3 (EU)
,
FUN‑8 (EU)
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#### 0

Possible mastery points

AP Calc:
CHA (BI)
,
CHA‑3 (EU)
,
CHA‑3.G (LO)
,
CHA‑3.G.1 (EK)

AP Calc:
CHA (BI)
,
CHA‑3 (EU)
,
CHA‑3.G (LO)
,
CHA‑3.G.3 (EK)

## Finding arc lengths of curves given by parametric equations

AP Calc:
CHA (BI)
,
CHA‑6 (EU)
,
CHA‑6.B (LO)
,
CHA‑6.B.1 (EK)

### Practice

#### Quiz 1

Level up on the above skills and collect up to 240 Mastery points

AP Calc:
CHA (BI)
,
CHA‑3 (EU)
,
CHA‑3.H (LO)
,
CHA‑3.H.1 (EK)

## Solving motion problems using parametric and vector-valued functions

AP Calc:
FUN (BI)
,
FUN‑8 (EU)
,
FUN‑8.B (LO)
,
FUN‑8.B.1 (EK)
,
FUN‑8.B.2 (EK)

### Practice

#### Quiz 2

Level up on the above skills and collect up to 400 Mastery points

AP Calc:
FUN (BI)
,
FUN‑3 (EU)
,
FUN‑3.G (LO)
,
FUN‑3.G.1 (EK)
,
FUN‑3.G.2 (EK)

AP Calc:
CHA (BI)
,
CHA‑5 (EU)
,
CHA‑5.D (LO)
,
CHA‑5.D.1 (EK)
,
CHA‑5.D.2 (EK)

AP Calc:
CHA (BI)
,
CHA‑5 (EU)
,
CHA‑5.D (LO)
,
CHA‑5.D.1 (EK)
,
CHA‑5.D.2 (EK)

## Calculator-active practice

AP Calc:
CHA (BI)
,
CHA‑5 (EU)
,
CHA‑5.D (LO)
,
CHA‑5.D.1 (EK)
,
CHA‑5.D.2 (EK)

### Practice

#### Quiz 3

Level up on the above skills and collect up to 480 Mastery points
Up next for you:

#### Unit test

Level up on all the skills in this unit and collect up to 1400 Mastery points!

### About this unit

While we're often familiar with functions that output just one variable and are graphed with Cartesian coordinates, there are other possibilities! Vector-valued functions, for example, can output multiple variables. Polar functions, too, differ, using polar coordinates for graphing. We can still explore these functions with derivatives and integrals.
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