About This Chapter
Ratios, Rates & Proportional Relationships - Chapter Summary
Use the engaging lessons in this chapter to help you understand ratios, rates and proportional relationships. You can see examples of how to perform calculations with ratios and proportions as well as how to figure out the amount of tax on an item. Topics covered in this chapter include:
- Ways to compare numbers and items using rates and ratios
- How to apply the unit rate of change
- Applications of proportions
- Calculating problems with ratios and proportions
- Determining tax and discounts
- Ways to calculate simple interest
- Proportional relationships that occur with triangles
The brief and entertaining video lessons are taught by experienced and knowledgeable instructors. They are accompanied by written transcripts of the videos and short quizzes to assess your knowledge. All of these resources are mobile friendly so you have the flexibility to study at home or on the go, as long as you have working Internet connection.
1. Ratios & Rates: Definitions & Examples
If we have two items, or two numbers, and we want to compare them, what language can we use? How do we write the comparison? Find out as we learn about ratios and rates in this lesson.
2. How to Find the Unit Rate
If we are going to use math to predict outcomes, one of the most useful measures we can establish is the unit rate of change. In this lesson, you'll learn how to find the rate of change and apply the formula to real-life examples.
3. 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.
4. 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.
5. Taxes & Discounts: Calculations & Examples
When you go shopping, you don't want to be surprised by the amount of tax on an item. You also want to fully understand discounts to know how much you can save. In this lesson, we'll practice calculating both tax and discounts.
6. How to Find Simple Interest Rate: Definition, Formula & Examples
When we borrow a certain sum of money over a period of time, we agree that we will pay it back, along with a fee, known as the interest owed. Similarly, when we invest a sum of money in a savings account, the account earns us interest. This lesson will show you how to calculate a certain type of interest called simple interest.
7. Proportional Relationships in Triangles
The perimeters of the two triangles, corresponding medians, corresponding angle bisectors, and corresponding altitudes are all similar. In this lesson, you'll learn about some of the proportional relationships in similar triangles.
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