#### Math - 2018-19

# MA.9 - Polar Equations

MA.9The student willinvestigateandidentifythe characteristics of the graphs of polar equations.

*Adopted: 2016*

### BIG IDEAS

### UNDERSTANDING THE STANDARD

·
The real number system is
represented geometrically on the number line, and the complex number system is
represented geometrically on the plane where *a* + *bi* corresponds to the
point (*a*, *b*) in the plane.

### ESSENTIALS

**The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to**

·
MA.9_{1} **Classify**
polar equations (rose, cardioid, limaçon, lemniscate, spiral, and circle),
given the graph or the equation.

·
MA.9_{2} **Determine**
the effects of changes in the parameters of polar equations on the graph, using
a graphing utility.

·
MA.9_{3} **Convert**
between complex numbers written in rectangular form and polar form.

·
MA.9_{4} **Determine**
and **verify** the intersection of the
graphs of two polar equations, using a graphing utility.

### KEY VOCABULARY

*Updated: May 29, 2018*