This means the ratio of boys to girls is Thus, there are 2 boys in the room for every 1 girl. Let's say we'd like to buy a soda for each student in the classroom. Since we only need 15 sodas, we're wondering how much each soda costs at the discounted rate.
To find out, we'll set up two rates, because we have 2 different units, dollars and number of sodas:. What is the difference between ratios and rates?
Becca M. The numbers or measurements being compared are sometimes called the terms of the ratio. For example, if a store sells 6 red shirts and 8 green shirts, the ratio of red to green shirts is 6 to 8. A rate is a special ratio in which the two terms are in different units. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces. But notice that this time, a new unit is created: cents per hour.
Rates are used by people every day, such as when they work 40 hours per week or earn interest every year at a bank. When rates are expressed as a quantity of 1, such as 2 feet per second that is, per 1 second or 5 miles per hour that is, per 1 hour , they can be defined as unit rates. You can write any rate as a unit rate by reducing the fraction so it has a 1 as the denominator or second term. As a unit rate example, you can show that the unit rate of students for every 3 buses is 40 students per bus.
Rate and unit rate are used to solve many real-world problems. Look at the following problem. At that rate, how many hours will she work in 12 weeks? Removing the units makes the calculation easier to see. However, it is important to remember the units when interpreting the new ratio. When you find equal ratios, it is important to remember that if you multiply or divide one term of a ratio by a number, then you need to multiply or divide the other term by that same number.
Let's take a look at a problem that involves unit price. How much would 10 pens cost? Your students have no doubt encountered rates and ratios before have they seen a speed limit sign? Prerequisite Skills and Concepts: Students should have a basic understanding of ratios, how to write them, and an ability to simplify a ratio.
Students should also have an ability to work with fractions and find equivalent fractions. Now that students know how to find a unit rate, they will learn how to find an equivalent ratio using unit rates. Finding equivalent ratios uses the same thought process as finding equivalent fractions.
Standard: Use ratio and rate reasoning to find equivalent ratios and solve real-world problems 6. Looking for more free math lessons and activities for elementary school students? Be sure to explore our Free Teaching Resources hub. If you're in the market for a math curriculum that will unlock learning for students who struggle with mathematics, check out Math , our math intervention solution for Grades 5— Give a lesson on the significance of National Pearl Harbor Remembrance Day with these Pearl Harbor activities for elementary and middle school students.
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