Ch 3: MTEL Middle School Math/Science: Numerical & Algebraic Properties

About This Chapter

This chapter will help you prepare for the MTEL Mathematics/Science (Middle School) exam by providing an opportunity to review the different numerical and algebraic properties of math.

MTEL Middle School Math/Science: Numerical & Algebraic Properties - Chapter Summary

In this chapter, our professional instructors teach a series of lesson videos about the different numerical and algebraic properties used in mathematics. Study these lessons to improve your mathematical skills for the Massachusetts Tests for Educator Licensure (MTEL) Mathematics/Science (Middle School) exam. Afterwards, you should be able to use or understand the:

  • Commutative property
  • Multiplication property of zero
  • Distributive property
  • Identity property
  • Additive identity property
  • Inverses of common operations
  • Associative property

All of the lessons and written transcripts were created with the goal of helping you refresh your memory of numerical and algebraic properties. The video tags allow you to go to specific areas of the videos so that you don't watch material you're already familiar with. To make certain that you're retaining the fundamentals of the chapter, take the self-assessment quizzes.

MTEL Middle School Math/Science: Numerical & Algebraic Properties Chapter Objectives

The state of Massachusetts uses the MTEL Mathematics/Science Middle School exam to certify middle-grades math and science teachers. It is a computer-based certification exam composed of 100 multiple-choice questions and two open-response assignments. You'll have up to four hours for completion. Your score for the exam is based on your understanding of several subareas. Eight percent of the exam is allocated to the Number Sense and Operations subarea, and twelve percent of the exam questions belong to the Patterns, Relations and Algebra section.

7 Lessons in Chapter 3: MTEL Middle School Math/Science: Numerical & Algebraic Properties
Test your knowledge with a 30-question chapter practice test
The Commutative Property: Definition and Examples

1. The Commutative Property: Definition and Examples

There are three major properties that deal with the addition and multiplication of numbers. One of those properties is the commutative property. This lesson will define and give examples of the commutative property and how it works.

The Multiplication Property of Zero: Definition & Examples

2. The Multiplication Property of Zero: Definition & Examples

The number zero has different rules than other numbers; it behaves according to it's own unique properties. This lesson will define the multiplication property of zero and give some examples of how it works.

Distributive Property: Definition, Use & Examples

3. Distributive Property: Definition, Use & Examples

After completing this lesson, you will be able to state the distributive property and apply it to various types of problems. You will also be able to accurately perform the mathematical operations that are involved with the distributive property.

Additive Identity: Definition & Examples

4. Additive Identity: Definition & Examples

In this lesson, you will learn the definition of the additive identity property and its meaning when applied to various kinds of numbers such as real, imaginary and complex numbers. We will also look at the application of the additive property for sets of numbers.

Inverse Operations in Math: Definition & Examples

5. Inverse Operations in Math: Definition & Examples

In mathematics, inverse operations are operations that 'undo' each other. Most operations have an inverse. This lesson describes the most common operations and their inverses, and it provides some examples and a quiz to cement your knowledge.

Identity Property: Definition & Examples

6. Identity Property: Definition & Examples

In this lesson, you will learn the definition of the identity property, discover the four different identity properties and examine examples that clearly illustrate these properties. Following this lesson will be a brief quiz to test your knowledge.

The Associative Property: Definition and Examples

7. The Associative Property: Definition and Examples

There are three basic number properties that help to form the backbone of algebra. One of those properties is the associative property. This lesson will define the associative property and give some examples of how it works.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other Chapters

Other chapters within the MTEL Mathematics/Science (Middle School)(51): Practice & Study Guide course

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