Unpacked Content
Knowledge
Students know:
- In the complex plane the horizontal axis is the real axis (a) and the vertical axis is the imaginary axis (b).
- Trigonometric techniques for finding measures of angles and coordinates on the unit circle.
- The characteristics of the polar coordinate system.
- Techniques for plotting polar coordinates.
Skills
Students are able to:
- Use trigonometry to find the measures of angles and coordinates on the unit circle.
- Use the Pythagorean Theorem to find the lengths of sides of a right triangle.
- Convert between polar and rectangular forms.
- Plot polar coordinates.
Understanding
Students understand that:
- A complex number (a+bi) can be graphed in a rectangular coordinate system as (a, b).
- A complex number may be represented in the plane using equivalent polar and rectangular coordinates.
- Different representations of a complex number may be more useful for various purposes.
Vocabulary
- Complex plane
- Polar form
