Learning Objectives:

__Math Tutoring on Polar Equations __

The **Polar Coordinate System** is based on a point, called the **Pole** and a **ray**, called the **Polar Axis**, which is usually drawn in the direction of the positive x-axis.

A point **‘P’** on the polar coordinate system is located by giving the directed distance **‘r’** from the pole **‘O’** to point **‘P’** and the angle **θ** from the positive x-axis to ray **‘OP’**, then the polar coordinate of the point **‘P’** is given in the form **.** In this regard, some points to remember:

· If **r > 0**, the point **P** lies on the terminal side of **θ**.

· If **r < 0**, the point **P** lies on the ray pointing in the opposite direction of the terminal side of **θ**, a distance from the pole.

The equation consisting ** **is thereby called **Polar Equations**. E.g. and etc..

To determine an equivalent equation of the **Polar Equation** in **Rectangular** form, we have to remember following formulae:

,** **** ** , and ** **

We can graph the **Polar Equation** on the coordinate plane as reference in math tutoring. This is often called **R-Value Analysis**. It can also be done by TI-84 Graphing Calculator.

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**Hook Questions:**

*1. **What is Polar Coordinates? How is it expressed?*

*2. **How to convert a Polar Equation into Rectangular Equation?*

*3. **What is R-Value Analysis?*

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