# Ch 47: MTEL Math: Polar Coordinates & Parameterization

### About This Chapter

## MTEL Math: Polar Coordinates & Parameterization - Chapter Summary

You can use this chapter to make sure you're prepared to address polar coordinates and parameterization questions on the MTEL Math assessment. Watch the video lessons to ensure you're able to:

- Explain the process of graphing a function in a polar coordinate
- Describe polar form complex numbers
- Evaluate a parametric equation
- Detail how to switch between rectangular and parametric forms
- Analyze and discuss a graph of a parametric equation
- Examine parametric equations
- Provide details about conic sections

Lesson instructors present the materials in a fun and engaging manner that keeps you interested and makes studying easier. You can review the lessons as videos, or access full transcripts you can print to create or add to an existing MTEL Math study guide.

### MTEL Math: Polar Coordinates & Parameterization Chapter Objectives

The Massachusetts Tests for Educator Licensure (MTEL) Mathematics assessment gauges the knowledge and skills of educators looking to teach the subject in classrooms throughout the state. It is a subject-matter test that is broken into six subareas and consists of 100 multiple-choice questions and two open-response assignments. You take the test on a computer and should prepare to spend four hours on questions, as well as 15 minutes filling out a nondisclosure agreement and taking a computer-based test (CBT) tutorial. Earning a passing score of 240 or higher helps secure your educator licensure.

Topics in this chapter on polar coordinates and parameterization prepare you for questions in the geometry and measurement subarea of the test. This subarea constitutes about 19% of the total test and consists of all multiple-choice questions. Study for this section by reviewing the lessons in this chapter. You can test your comprehension by taking short quizzes and a chapter exam. Any questions you have about lesson topics can be submitted to our experts.

### 1. Graphing Functions in Polar Coordinates: Process & Examples

After watching this video lesson, you will be able to convert any Cartesian coordinate point into a polar coordinate point. You will also learn how to plot these points.

### 2. Complex Numbers in Polar Form: Process & Examples

After watching this video lesson, you will be able to convert complex numbers from rectangular form to polar form easily by following the formulas you will see here. You will also learn how to find the power of a complex number.

### 3. Evaluating Parametric Equations: Process & Examples

After watching this video lesson, you will be able to evaluate a parametric equation for any given parameter. Learn the steps involved and what the complete answer looks like.

### 4. Converting Between Parametric & Rectangular Forms

There are all kinds of ways of writing equations. Learn about parametric equations in this video lesson. Learn how you can convert between parametric equations and their equivalent rectangular equations.

### 5. Graphs of Parametric Equations

Watch this video lesson to learn how you can go about graphing parametric equations. Learn the simplest way to graph parametric equations by eliminating the parameter.

### 6. Parametric Equations in Applied Contexts

Watch this video lesson to learn how you can use parametric equations to help you solve real world problems such as the path of a moving object. Learn how to form parametric equations to model the real world.

### 7. Conic Sections in Polar & Parametric Forms

After watching this video lesson, you will learn to distinguish between the standard form equations for conic sections, the parametric form equations and the polar form equations.

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### Other Chapters

Other chapters within the MTEL Mathematics (09): Practice & Study Guide course

- MTEL Math: Basic Arithmetic Operations
- MTEL Math: Absolute Value & Integers
- MTEL Math: Fractions
- MTEL Math: Decimals
- MTEL Math: Percents
- MTEL Math: Rates & Ratios
- MTEL Math: Proportions
- MTEL Math: Estimation
- MTEL Math: Origins of Math
- MTEL Math: Rational & Irrational Numbers
- MTEL Math: Complex Numbers
- MTEL Math: Properties of Numbers
- MTEL Math: Exponents & Exponential Expressions
- MTEL Math: Roots & Radical Expressions
- MTEL Math: Scientific Notation
- MTEL Math: Number Theory
- MTEL Math: Number Patterns & Sequences
- MTEL Math: Number Patterns & Series
- MTEL Math: Properties of Functions
- MTEL Math: Graphing Functions
- MTEL Math: Factoring
- MTEL Math: The Coordinate Graph & Symmetry
- MTEL Math: Linear Equations
- MTEL Math: Systems of Linear Equations
- MTEL Math: Vectors, Matrices & Determinants
- MTEL Math: Introduction to Quadratics
- MTEL Math: Working with Quadratic Functions
- MTEL Math: Polynomial Functions Basics
- MTEL Math: Higher-Degree Polynomial Functions
- MTEL Math: Piecewise, Absolute Value & Step Functions
- MTEL Math: Rational Expressions, Functions & Graphs
- MTEL Math: Exponential & Logarithmic Functions
- MTEL Math: Measurement
- MTEL Math: Perimeter & Area
- MTEL Math: Polyhedrons & Geometric Solids
- MTEL Math: Symmetry, Similarity & Congruence
- MTEL Math: Properties of Lines
- MTEL Math: Angles
- MTEL Math: Triangles
- MTEL Math: Triangle Theorems & Proofs
- MTEL Math: Similar Polygons
- MTEL Math: The Pythagorean Theorem
- MTEL Math: Quadrilaterals
- MTEL Math: Circles
- MTEL Math: Circular Arcs & Measurement
- MTEL Math: Analytic Geometry & Conic Sections
- MTEL Math: Transformations
- MTEL Math: Data & Graphs
- MTEL Math: Statistics
- MTEL Math: Data Collection
- MTEL Math: Samples & Populations
- MTEL Math: Probability
- MTEL Math: Trigonometric Functions
- MTEL Math: Graphs of Trigonometric Functions
- MTEL Math: Trigonometric Identities
- MTEL Math: Applications of Trigonometry
- MTEL Math: Limits
- MTEL Math: Continuity
- MTEL Math: Rate of Change
- MTEL Math: Derivative Calculations & Rules
- MTEL Math: Graphing Derivatives & L'Hopital's Rule
- MTEL Math: Area Under the Curve & Integrals
- MTEL Math: Integration Techniques
- MTEL Math: Integration Applications
- MTEL Math: Differential Equations
- MTEL Math: Discrete & Finite Math
- MTEL Mathematics Flashcards