Ratios & Proportional Relationships

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How Do You Solve a Word Problem Using Unit Rates?

Word problems allow you to see the real world uses of math! This tutorial shows you how to take a rate and convert it to a unit rate. Then, you can use that unit rate to calculate your answer. Watch this tutorial to learn all about it!
How Do You Convert a Rate To A Unit Rate?

When you talk about the speed of a car, you usually say something in miles per hour. For example, you say, 'I drove 40 miles per hour.' Normally, you don't say, 'I drove 120 miles per 3 hours.' Figure out how to convert a rate like 120 miles per 3 hours to the unit rate of 40 miles per hour by watching this tutorial.
What are Rates and Unit Rates?

Can you do 100 sit-ups in 2 minutes? That's a rate! Driving a car going 40 miles per hour? That's a unit rate! Watch this tutorial to learn about rate and unit rate (and the difference!).
How Do You Find the Constant of Variation from a Direct Variation Equation?

The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another. Watch this tutorial to see how to find the constant of variation for a direct variation equation. Take a look!
How Do You Write an Equation for Direct Variation Given a Point?

Looking for some practice with direct variation? Watch this tutorial, and get that practice! This tutorial shows you how to take given information and turn it into a direct variation equation. Then, see how to use that equation to find the value of one of the variables.
How Do You Write an Equation for Direct Variation from a Table?

Looking for some practice with direct variation? Watch this tutorial, and get that practice! This tutorial shows you how to take a table of values and describe the relation using a direct variation equation.
What's the Constant of Variation?

The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another. But why is it called the constant of variation? This tutorial answers that question, so take a look!
What Does Direct Variation Look Like on a Graph?

Want to know what a direct variation looks like graphically? Basically, it's a straight line that goes through the origin. To get a better picture, check out this tutorial!
How Do You Solve a Word Problem Using a Percent Proportion?

Word problems allow you to see the real world uses of math! This tutorial shows you how to take a words problem and turn it into a percent proportion. Then see how to solve for the answer using the mean extremes property of proportions. Take a look!
How Do You Set Up a Proportion from a Word Problem?

Sometimes the hardest part of a word problem is figuring out how to turn the words into an equation you can solve. This tutorial let's you see the steps to take in order to turn a word problem involving a blueprint into a proportion. Take a look!
How Do You Use a Proportion to Find a Part of a Whole?

Taking a percent of a number? Trying to figure out the result? Use a percent proportion to solve! This tutorial will show you how!
How Do You Use the Formula for Simple Interest?

If you already have a bank account or if you plan to have one in the future, then this tutorial is a must see! Follow along as this tutorial goes through a word problem involving simple interest.
What is the Formula for Simple Interest?

Interest is found in a bunch of places: savings accounts, mortgages, loans, investments, credit cards, and more! Watch this tutorial and learn how to calculate simple interest!
How Do You Figure Out a Percent of Change?

Word problems allow you to see the real world uses of math! In this tutorial, learn how to calculate the percent of increase using the percent of change formula.
What's a Percent of Change?

Lots of things in this world change their value such as cars, video games, and computers. When something either increases or decreases in value, it can be useful to know the percent of that change in value. To figure out that percent, you'll need the percent of change formula. Learn it with this tutorial!
How Do You Figure Out How Much Something is Marked Down?

Going shopping? Is something you want on sale? Trying to figure out the sale price of that item? Follow along with this word problem and you'll see how to calculate that price!
How Do You Set Up a Percent Proportion from a Word Problem?

Sometimes the hardest part of a word problem is figuring out how to turn the words into an equation you can solve. This tutorial let's you see the steps to take in order to do just that! Take a look! You'll be glad you did!
How Do You Figure Out Sales Tax?

Going shopping can be tons of fun, but things can go sour when you get to the register and realize that the sales tax puts you over your budget. Always stay under budget by figuring out your total cost BEFORE you hit the check out. Watch this tutorial and learn how to calculate sales tax!
How Do You Use an Equation to Find a Part of a Whole?

Taking a percent of a number? Trying to figure out the result? Convert the percent to a decimal and multiply it by the number! This tutorial will show you how!
How Do You Solve a Word Problem Using the Direct Variation Formula?

Word problems allow you to see math in action! Take a look at this word problem involving an object's weight on Earth compared to its weight on the Moon. See how the formula for direct variation plays an important role in finding the solution. Then use that formula to see how much you would weigh on the Moon!
What's the Direct Variation or Direct Proportionality Formula?

Ever heard of two things being directly proportional? Well, a good example is speed and distance. The bigger your speed, the farther you'll go over a given time period. So as one variable goes up, the other goes up too, and that's the idea of direct proportionality. But you can express direct proportionality using equations, and that's an important thing to do in algebra. See how to do that in the tutorial!
How Do You Use the Formula for Direct Variation?

If two things are directly proportional, you can bet that you'll need to use the formula for direct variation to solve! In this tutorial, you'll see how to use the formula for direct variation to find the constant of variation and then solve for your answer.
How Do You Solve a Proportion Using Cross Products?

Want to solve a percent proportion? Just use the means extremes property of proportions to cross multiply! Solve for the variable, and you have your answer! Learn how with this tutorial.
How Do You Use a Proportion to Find What Percent a Part is of a Whole?

A part is some percent of a whole. Trying to calculate the percent? Use a percent proportion to solve! This tutorial will show you how!
What's a Proportion?

The idea of proportions is that a ratio can be written in many ways and still be equal to the same value. That's why proportions are actually equations with equal ratios. This is a bit of a tricky definition, so make sure to watch the tutorial!
What's the Means-Extremes Property of Proportions?

The means-extremes property of proportions allows you to cross multiply, taking the product of the means and setting them equal to the product of the extremes. This property comes in handy when you're trying to solve a proportion. Watch this tutorial to learn more!
What are the Means and Extremes of Proportions?

A proportion is just an equation where two ratios are equal, and each piece of the proportion has a special name. This tutorial will teach you those names, and this will help you understand cross multiplication when you learn it later!
How Do You Solve a Word Problem Using a Proportion?

This tutorial provides a great real world application of math. You'll see how to use the scale from a blueprint of a house to help find the actual height of the house. This tutorial shows you how to use a proportion to solve!
How Do You Figure Out a Tip?

If you need to leave a tip at a restaurant, you can quickly estimate the amount in your head! This tutorial shows you how to use estimation and mental math to estimate a tip!
How Do You Find Equivalent Ratios by Making a Table?

To master equivalent ratios, you need to practice. Follow along with this tutorial to practice filling in a table with equivalent ratios.
How Do You Estimate a Sale Price?

Sales are great, but how much are you really saving? This tutorial shows you how to estimate the sales price of an item.
How Do You Figure Out a Percent From a Part to Part Ratio?

Word problems and percents can be a fun combination! This tutorial shows you how to find the percent of something in a basket using ratios!
How Do You Figure Out a Percent From a Part to Whole Ratio?

If you want to find a percent in a word problem, you may be able to use a ratio to help you! This tutorial shows you how to do exactly that!
How Do You Find Equivalent Ratios?

Ratios are used to compare numbers. When you're working with ratios, it's sometimes easier to work with an equivalent ratio. Equivalent ratios have different numbers but represent the same relationship. In this tutorial, you'll see how to find equivalent ratios by first writing the given ratio as a fraction. Take a look!
How Do You Know If Two Ratios are Proportional?

Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional. To see this process in action, check out this tutorial!
How Do You Use Unit Rates to Compare Rates?

Word problems allow you to see the real world uses of math! This tutorial shows you how to use ratios to figure out which store has a better deal on cupcakes. Take a look!
How Do You Determine if Two Ratios are Proportional Using Cross Products?

Trying to figure out if two ratios are proportional? If they're in fraction form, set them equal to each other to test if they are proportional. Cross multiply and simplify. If you get a true statement, then the ratios are proportional! This tutorial gives you a great example!
How Do You Solve a Proportion by Finding an Equivalent Ratio?

Trying to find a missing value in order to create a proportion with two ratios? Take the ratios in fraction form and identify their relationship. Use that relationship to find your missing value. This tutorial will show you how!
How Do You Determine Whether Values in a Table are Proportional?

To see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportional ratios. To see this process step-by-step, check out this tutorial!
How Do You Solve a Proportion Using the Multiplication Property of Equality?

Trying to find a missing value in a ratio to create proportional ratios? You could use the multiplication property of equality! In this tutorial, see how to use this property to find a missing value in a ratio. Take a look!
How Do You Solve a Word Problem Using Ratios?

This tutorial shows you how to use a ratio to create equivalent ratios. Then, use a multiplier to find a missing value and solve the word problem. Take a look!
What are Equivalent Ratios?

Equivalent ratios are just like equivalent fractions. If two ratios have the same value, then they are equivalent, even though they may look very different! In this tutorial, take a look at equivalent ratios and learn how to tell if you have equivalent ratios.
How Do You Figure Out the Price of a Marked Up Item?

The price of items is always changing. You've probably went to the store to buy an item and found that its price has been marked up. In this tutorial, learn how to figure out the new price of an item that was marked up. Take a look!
How Do You Figure Out Whether a Percent of Change is an Increase or a Decrease?

Word problems are a great way to see the real world applications of math! In this tutorial, you'll see how the percent of change can be found from the information given in a word problem. Check it out!