#### TR.PC.4Translate equations from rectangular coordinates to polar coordinates and from polar coordinates to rectangular coordinates. Graph equations in the polar coordinate plane.

*I can translate equations from rectangular coordinates to polar coordinates using the Pythagorean Theorem and trigonometric ratios.

*I can convert from polar coordinates to rectangular coordinates using trigonometric ratios.

*I can graph equations in the polar coordinate plane.

Rectangular coordinates
Polar coordinates
Polar coordinate plane
Pythagorean Theorem

*Explain why the rectangular and polar forms of a given complex number represent the same number. (MA.PC.PCN.2)

*Areas bounded by polar curves can be calculated with definite integrals.
(EK 3.4D1)

*For a curve given by a polar equation r = f(theta), derivatives of r, x, and y with respect to theta and first and second derivatives of y with respect to x can provide information about the curve.
(EK 2.2A4 (BC))

Clarifying Examples and Digital Resources
Click here for clarifying examples and digital resources aligned to Indiana standards. These are intended to expand each standard to support instruction in the classroom as evidenced by the Eight Mathematics Teaching Practices put forth by the National Council of Teachers of Mathematics (NCTM).