# Ch 48: MTEL Math: Transformations

### About This Chapter

## MTEL Math: Transformations - Chapter Summary

The lessons in this chapter are effective at helping you review transformations, which will be covered on the MTEL Math exam. You will also develop your knowledge of:

- Rotations and reflections in math
- Definition and examples of math translations
- 2D shapes
- Finding the line of symmetry
- Finding coordinates and rotating shapes
- Graphing translations, reflections and rotations
- Working with distance formulas
- Using the Pythagorean Theorem to find distance

As you go through each video lesson, you will start improving your ability to analyze different transformations in math. The lessons range from 5-10 minutes long, and you can even get help from our instructors if you are struggling with a math theory or principle.

### MTEL Math: Transformations Chapter Objectives

The goal of the MTEL Math exam is to help you get a license to teach math in Massachusetts. The topics covered in this engaging chapter are included on the subarea 3 section of the exam. This part makes up 19% of the entire exam, and you will be asked to answer multiple-choice and potentially open-response questions.

You will have to use your analytical and graphing skills to do well on this portion of the test. After looking over each lesson once or multiple times, use our quizzes. They can help you determine if you are ready for the MTEL Math exam.

### 1. Rotations in Math: Definition & Overview

A geometric rotation refers to the rotating of a figure around a center of rotation. This lesson will get you going on rotations, give you some examples, and end with a quiz that tests your knowledge of rotations.

### 2. Reflections in Math: Definition & Overview

A reflection of an object is a 'flip' of that object across a line. This lesson will describe the basics of reflection, how to recognize one and how to create one.

### 3. What is Translation in Math? - Definition, Examples, & Terms

In mathematics, translation refers to moving an object without changing it in any other way. This lesson will describe how to translate an object and give some examples. A quiz will follow to test your knowledge.

### 4. Reflecting Simple Shapes in a Mirror Line

What is reflection? How can we reflect a shape over a line? You will learn about this as well as about the important properties of reflection as it relates to math!

### 5. What are 2D Shapes? - Definition & Examples

In this lesson, you will find out how a flat piece of paper will help you determine what shapes are considered 2D. You will also learn the wide variety of 2D shapes you may encounter in life.

### 6. Identifying the Line of Symmetry: Definition & Examples

Symmetry can occur in many different ways in mathematics. In this lesson, learn how to identify unique forms of symmetry by finding the line of symmetry.

### 7. Graphing Translations & Finding a Set of Coordinates

In this lesson, you're going to learn how to translate figures by counting boxes, find the coordinates of points, and learn how to translate a figure more quickly using simple math.

### 8. Rotating Shapes by Degrees, Center & Direction

In this lesson, you're going to learn about the definition and basic concept of rotation as well as how to rotate any shape about the origin in a coordinate plane. Finish up the lesson, then test your understanding with a quiz!

### 9. How to Graph Reflections Across Axes, the Origin, and Line y=x

A graph can be reflected in three ways - across the axes, the origin and the line y = x. There are specific rules to perform each reflection. This lesson will describe those rules and show you how to perform these reflections.

### 10. Distance Formulas: Calculations & Examples

Let's go on a road trip! In this lesson, we'll practice calculations involving distance, rate and time. We'll also look at how we determine the relationship between distance and fuel.

### 11. Finding Distance with the Pythagorean Theorem

How much faster is it to cut the corners in a race around the block? In this lesson, review the Pythagorean Theorem, and figure out how to solve without a right triangle.

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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: Polar Coordinates & Parameterization
- 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