Ch 7: MTEL Math: Proportions

About This Chapter

Examine this chapter to learn all about proportions. Designed to be a helpful resource as you study for the MTEL Math exam, these lessons will address various uses of proportions, among other topics.

MTEL Math: Proportions - Chapter Summary

This chapter seeks to help prepare you for the MTEL Math exam by developing your understanding of proportions and their purposes, and showing you how they can be represented. Upon completing these lessons, you should be able to:

  • Identify examples of proportions
  • Calculate using ratios and proportions
  • Solve problems involving time
  • Determine a proportion's unknown
  • Understand proportional relationships
  • Identify the proportionality constant
  • Use equations to represent proportional relationships
  • Graph a proportional relationship
  • Solve percent and multi-step ratio problems with proportions
  • Apply proportions to real-world situations

If you have any questions as you view the brief video lessons in this chapter, you may contact our expert mathematicians who will assist you as they are able. To provide an alternative method of absorbing and reviewing this chapter's content, each video lesson is accompanied by a full transcription. After you feel you have sufficiently studied the lessons, you may test your knowledge using our cumulative chapter exam.

MTEL Math: Proportions Chapter Objectives

The MTEL Math exam is an integral part of attaining your license to teach math courses in Massachusetts. This computer-based exam aims to assess your knowledge of mathematics with 100 multiple-choice questions and two open-response items. Twelve percent of these questions will test your understanding of numbers and operations, including your ability to solve problems utilizing proportions.

A thorough knowledge of the many aspects and uses of proportions will enable you to solve the proportion problems posed on the exam, so a careful study of this chapter's content should prove beneficial. These questions will appear in a multiple-choice format on the exam, meaning the multiple-choice practice quizzes found in this chapter will enable you to practice solving questions in the exam's format.

10 Lessons in Chapter 7: MTEL Math: Proportions
Test your knowledge with a 30-question chapter practice test
Proportion: Definition, Application & Examples

1. Proportion: Definition, Application & Examples

When we want to compare one ratio, or fraction, to another equivalent ratio, it's a proportion. Learn all about proportions and practice solving proportion problems in this lesson.

Calculations with Ratios and Proportions

2. Calculations with Ratios and Proportions

Even if only 99 out of 100 people need to know how to work with ratios, the odds that they'll be useful to you are very high. In this lesson, we'll practice performing calculations with ratios and proportions.

How to Solve Problems with Time

3. How to Solve Problems with Time

It's amazing how much time can be saved when people work together. In this lesson, we'll practice figuring out just how much time we're talking about as we solve problems involving time.

How to Find an Unknown in a Proportion

4. How to Find an Unknown in a Proportion

Artists, engineers, athletes, and accountants all use proportions in their daily lives, and setting them up is really quite easy, once you know the rules. In this lesson, you'll learn how to solve proportions when there is an unknown value and work on some practice problems.

Proportional Relationships Between Two Quantities

5. Proportional Relationships Between Two Quantities

When two values always maintain the same ratio, forming the same fraction when you divide them, they have a proportional relationship. In this lesson, you can learn about proportional relationships between two quantities.

Identifying the Constant of Proportionality

6. Identifying the Constant of Proportionality

Constants of proportionality might sound like something complicated, but chances are, you've encountered them before. In this lesson, we'll explore the constant of proportionality and how to find it.

Representing Proportional Relationships by Equations

7. Representing Proportional Relationships by Equations

After you read this lesson, you'll see just how easy it is to find an equation that represents your proportional relationship. You'll learn the formula you can use to find your equation for any proportion you have.

Graphing Proportional Relationships

8. Graphing Proportional Relationships

Two values are proportional if they maintain the same ratio and their graph will always be a straight line that goes through the origin (0,0). In this lesson we'll explore how to draw proportional graphs and use them to solve desperate situations!

Proportional Relationships in Multistep Ratio & Percent Problems

9. Proportional Relationships in Multistep Ratio & Percent Problems

This lesson introduces the concepts of ratios, rates, and proportions. It will show you how to use rates and ratios to develop proportional relationships. Using proportions to solve problems is very common in mathematics, because oftentimes many rates and ratios are constant.

Constructing Proportions to Solve Real World Problems

10. Constructing Proportions to Solve Real World Problems

In this lesson, we will concentrate on proportions. Through definition and example, we will learn how to construct proportions and how to use proportions to solve real world problems.

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 (09): Practice & Study Guide course