# Ch 19: MTTC Math (Secondary): Proportions

### About This Chapter

## MTTC Math (Secondary): Proportions - Chapter Summary

This chapter's online video lessons will help you to recall what you've previously learned about proportions and their applications, but you may also discover new information. Watch this chapter's video lessons so that you can correctly answer any MTTC Math (Secondary) test items on the following:

- Making calculations with proportions and ratios
- Solving time problems
- Determining an unknown in a proportion
- Examining proportional relationships
- Understanding the constant of proportionality
- Graphing and creating equations for proportional relationships
- Utilizing proportional relationships when solving problems with percents
- Solving real world problems with proportions

You'll refresh your memory of these concepts when you watch this chapter's video lessons, which are led by expert mathematics instructors. The videos include clickable links that teach you more about key terms as well as video tags that permit you to locate information quickly. Prepare to take the MTTC Math (Secondary) examination by studying these lessons online whenever you have time, asking questions of the experts and testing your knowledge with the self-assessment quizzes.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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!

### 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.

### 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.

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### Other Chapters

Other chapters within the MTTC Mathematics (Secondary) (022): Practice & Study Guide course

- MTTC Math (Secondary): Reasoning & Problem Solving
- MTTC Math (Secondary): Basic Arithmetic
- MTTC Math (Secondary): Absolute Value
- MTTC Math (Secondary): Integers
- MTTC Math (Secondary): Introduction to Fractions
- MTTC Math (Secondary): Operations with Fractions
- MTTC Math (Secondary): Introduction to Decimals
- MTTC Math (Secondary): Operations with Decimals
- MTTC Math (Secondary): Percents
- MTTC Math (Secondary): Estimating & Rounding
- MTTC Math (Secondary): Rational & Irrational Numbers
- MTTC Math (Secondary): Complex Numbers
- MTTC Math (Secondary): Properties of Real Numbers
- MTTC Math (Secondary): Exponents & Exponential Expressions
- MTTC Math (Secondary): Roots & Radical Expressions
- MTTC Math (Secondary): Scientific Notation
- MTTC Math (Secondary): Number Theory
- MTTC Math (Secondary): Ratios & Rates
- MTTC Math (Secondary): Vectors, Matrices & Determinants
- MTTC Math (Secondary): Sequences
- MTTC Math (Secondary): Series
- MTTC Math (Secondary): Factoring
- MTTC Math (Secondary): Properties of Functions
- MTTC Math (Secondary): Graphing Functions
- MTTC Math (Secondary): The Coordinate Graph & Graph Symmetry
- MTTC Math (Secondary): Linear Equations
- MTTC Math (Secondary): Systems of Equations
- MTTC Math (Secondary): Inequalities
- MTTC Math (Secondary): Quadratic Equations
- MTTC Math (Secondary): Working with Quadratic Equations
- MTTC Math (Secondary): Polynomial Functions
- MTTC Math (Secondary): Higher-Degree Polynomial Functions
- MTTC Math (Secondary): Piecewise Functions
- MTTC Math (Secondary): Rational Expressions & Functions
- MTTC Math (Secondary): Exponential & Logarithmic Functions
- MTTC Math (Secondary): Trigonometric Functions
- MTTC Math (Secondary): Solving Trigonometric Equations
- MTTC Math (Secondary): Limits
- MTTC Math (Secondary): Continuity of a Function
- MTTC Math (Secondary): Rate of Change & Derivatives
- MTTC Math (Secondary): Calculating Derivatives & Derivative Rules
- MTTC Math (Secondary): Graphing Derivatives & L'Hopital's Rule
- MTTC Math (Secondary): Applications of Derivatives
- MTTC Math (Secondary): Area Under the Curve & Integrals
- MTTC Math (Secondary): Integration & Integration Techniques
- MTTC Math (Secondary): Integration Applications
- MTTC Math (Secondary): Differential Equations
- MTTC Math (Secondary): Units & Systems of Measurement
- MTTC Math (Secondary): Perimeter & Area
- MTTC Math (Secondary): Polyhedrons & Geometric Solids
- MTTC Math (Secondary): Symmetry, Similarity & Congruence
- MTTC Math (Secondary): Points, Lines & Angles
- MTTC Math (Secondary): Triangles
- MTTC Math (Secondary): Triangle Theorems & Proofs
- MTTC Math (Secondary): Similar Triangles & Polygons
- MTTC Math (Secondary): The Pythagorean Theorem
- MTTC Math (Secondary): Quadrilaterals
- MTTC Math (Secondary): Circles
- MTTC Math (Secondary): Circular Arcs & Measurement
- MTTC Math (Secondary): Conic Sections
- MTTC Math (Secondary): Polar Coordinates & Parametric Equations
- MTTC Math (Secondary): Transformations
- MTTC Math (Secondary): Types of Graphs, Tables, & Data
- MTTC Math (Secondary): Data & Statistics
- MTTC Math (Secondary): Collecting & Analyzing Data
- MTTC Math (Secondary): Samples & Populations in Research
- MTTC Math (Secondary): Probability
- MTTC Math (Secondary): Discrete & Finite Math
- MTTC Mathematics (Secondary) Flashcards