# Ch 5: Big Ideas Math Common Core 7th Grade Chapter 5: Ratios and Proportions

### About This Chapter

## How It Works:

- Identify the lessons in Big Ideas Math Ratios and Proportions chapter with which you need help.
- Find the corresponding video lessons within this companion course chapter.
- Watch fun videos that cover the ratios and proportions topics you need to learn or review.
- Complete the quizzes to test your understanding.
- If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.

## Students Will Learn:

- Defining and writing ratios, rates and proportions
- Ratios and proportions in calculations and problems
- The relationship between slope and rate of change
- Direct variation equations

*Big Ideas Math is a registered trademark of Larson Texts, Inc., which is not affiliated with Study.com.*

### 1. Ratios & Rates: Definitions & Examples

In mathematics, a ratio indicates the number of times that a smaller number is contained within a larger number, while a rate expresses a ratio for two quantities measured in different units. Explore the definitions and examples of ratios and rates, learn how to compare them, and solve practice problems.

### 2. Proportion: Definition, Application & Examples

A problem with a proportion, which is a set of ratios that equal each other, can be solved with cross-multiplication. Learn about proportions, see sample problems, and learn how to calculate percent problems.

### 3. Calculations with Ratios and Proportions

Ratios allow us a way to mathematically compare two or more items, and proportions can help us find out even more information. Learn the definition of ratios and proportions, and understand how to calculate ratio and proportion problems.

### 4. Solving Problems Involving Proportions: Definition and Examples

Proportion equations are an excellent solution to determine missing sides or to increase/decrease the size of an object. Learn about the definition of proportions, see examples of proportions, and learn how to solve proportional equations to find the length of a missing side.

### 5. Slopes and Rate of Change

The rate of change is shown through one variable as it changes the function of another variable and can be seen furthermore as location changes as a function of time. Learn more about slopes, rates of change, and the rate of velocity.

### 6. Solving Equations of Direct Variation

Direct variation problems involve two variables that vary directly with each other, which means, for example, as one increases, so does the other. Learn the formula for solving equations of direct variation, and practice with example problems.

### Earning College Credit

Did you know… We have over 220 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

### Other Chapters

Other chapters within the Big Ideas Math Common Core 7th Grade: Online Textbook Help course

- Big Ideas Math Common Core 7th Grade Chapter 1: Integers
- Big Ideas Math Common Core 7th Grade Chapter 2: Rational Numbers
- Big Ideas Math Common Core 7th Grade Chapter 3: Expressions and Equations
- Big Ideas Math Common Core 7th Grade Chapter 4: Inequalities
- Big Ideas Math Common Core 7th Grade Chapter 6: Percents
- Big Ideas Math Common Core 7th Grade Chapter 7: Construction and Scale Drawings
- Big Ideas Math Common Core 7th Grade Chapter 8: Circles
- Big Ideas Math Common Core 7th Grade Chapter 9: Surface Area & Volume
- Big Ideas Math Common Core 7th Grade Chapter 10: Probability & Statistics