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 6th-8th Grade Math: Practice & Review
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Ch 50: 6th-8th Grade Math: Rates, Ratios & Proportions

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About This Chapter

The brief and entertaining video lessons in this chapter on rates, ratios, and proportions teach 6th-8th graders how to solve single and multi-step equations using specific formulas. To make sure that students retain the information, both lesson quizzes and chapter exams are available.

6th-8th Grade Math: Rates, Ratios & Proportions - Chapter Summary

Use the video lessons in this chapter to demonstrate how proportions, rates, and ratios can help your middle school students solve equations related to distance and unit measurements. Easy and interactive videos provide step-by-step instructions about one-step ratio problems, graphing, and proportional relationships. In addition, these lessons can teach students how to write and solve their own example equations. You will also have access to short, multiple-choice quizzes that can help you measure your middle school students' level of comprehension for these types of mathematical problems, and using the chapter exams can also help you determine how much information your students are absorbing.

Chapter Lessons and Objectives

Lesson Objectives
Ratios & Rates: Definitions & Examples Identify how to calculate both rates and ratios.
How to Find the Unit Rate Explore techniques to determine unit rates.
How to Solve a One-Step Problem Involving Ratios Provide a description of a ratio and show methods for solving one-step ratio problems.
How to Solve a One-Step Problem Involving Rates Describe a rate and investigate techniques for calculating the answers to one-step rate problems.
How to Solve Problems with Money Determine and show how to find the total cost by taking the number of units and multiplying it by the cost per each unit.
Proportion: Definition, Application & Examples Explain what a proportion is and identify ways to solve problems with proportions.
Calculations with Ratios and Proportions Go over formulas and include techniques for solving problems with both ratios and proportions.
How to Solve Problems with Time Examine methods for calculating the concept of time.
Distance Formulas: Calculations & Examples Identify techniques for determining distance, and discuss methods for figuring out distance in relation to fuel consumption.
How to Find an Unknown in a Proportion Point out the steps for solving proportions with unknown variables.
Calculating Unit Rates Associated with Ratios of Fractions Discuss the unit rates of area, length, and other measurements, and then show how those rates are described through ratios of fractions.
Proportional Relationships Between Two Quantities Define the proportional relationship between quantities, and then figure out if two quantities are in a proportional relationship by graphing on a coordinate plane or by equivalent ratio testing.
Identifying the Constant of Proportionality In regards to proportional relationships, calculate the constant of proportionality in equations, tables, diagrams, verbal descriptions, and graphs.
Representing Proportional Relationships by Equations Show the steps for solving proportions and for writing proportional relationship equations.
Graphing Proportional Relationships Discuss the connection between the X and Y axes on graphs to proportional relationships, and then address the following: (0, 0) and (1, r), where r is the unit rate.
Proportional Relationships in Multistep Ratio & Percent Problems Analyze multistep percent and ratio problems, and then use proportional relationships to solve these equations.
Constructing Proportions to Solve Real World Problems Investigate techniques for solving application problems through the use of constructed proportions.

17 Lessons in Chapter 50: 6th-8th Grade Math: Rates, Ratios & Proportions
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Ratios & Rates: Definitions & Examples

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.
How to Find the Unit Rate

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.
How to Solve a One-Step Problem Involving Ratios

3. How to Solve a One-Step Problem Involving Ratios

Ratios show the relationship between different things. They can be very useful in math and everyday life. Learn how you can quickly and easily solve one-step ratio problems.
How to Solve a One-Step Problem Involving Rates

4. How to Solve a One-Step Problem Involving Rates

One of the most useful aspects of math is the ability to take a rate and use it to solve questions of time or quantity. In this lesson, we'll learn how to use rates, time, and quantity to solve for each other.
How to Solve Problems with Money

5. How to Solve Problems with Money

Money matters, and knowing how much things cost will be useful no matter where you go. In this lesson, we'll learn the steps for solving word problems involving money.
Proportion: Definition, Application & Examples

6. 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

7. 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

8. 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.
Distance Formulas: Calculations & Examples

9. Distance Formulas: Calculations & Examples

Let's go on a road trip! In this lesson, we'll practice calculations involving distance, rate and time. We'll also look at how we determine the relationship between distance and fuel.
How to Find an Unknown in a Proportion

10. 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.
Calculating Unit Rates Associated with Ratios of Fractions

11. Calculating Unit Rates Associated with Ratios of Fractions

This lesson demonstrates a few different ways to calculate unit rates. We use them to solve problem such as how many beats per minute, or how many miles per hour. To master this lesson, you must understand how ratios and fractions will help to find the unit rate based off of a higher ratio of values.
Proportional Relationships Between Two Quantities

12. 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

13. 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

14. 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

15. 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

16. 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

17. 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
Chapter Practice 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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