Introduction
Welcome: Ratios and Proportions
Description: An introduction to concepts of rate, unit rate, ratio, and proportion.
Grade Level: 9-10
Curriculum: Algebra 1
Keywords: ratio, proportion, rate
Author: Lisa Diemunsch
Task
You, the student will have a working understanding of the difference between rates and ratios. You also will be able to determine a unit rate from a given situation. Finally, you will be able to understand proportionality, and write your own proportions from real-life stories.
Process
Step One: Read the following definitions for rate and ratio. Summarize them on your handout. Write your own example of a rate and a ratio based on these definitions.
A ratio is a comparison of two quantities of the same unit, and is usually stated as a fraction in lowest terms. However, since a ratio must compare two numbers, a ratio that reduces to a whole number needs to be written as a fraction with the number 1 as the denominator. For example, the ratio of 20 hours to 5 hours is 4/1. Ratios can also be indicated with a colon, or by writing the words "the ratio of a tob." In all cases, a/b, a:b, and "the ratio of a to b" are all read as "the ratio of a to b."
A rate is a comparison of two quantities of different units. Rates are usually written as decimals, and for added meaning, the units should be indicated immediately following the rate. For example, if a train travels 50 miles in two hours, the rate corresponding to the train's speed is 25 miles/hour.
Step Two:
Dayton Dragons and Young’s Jersey Dairy Ice Cream Ratios and Proportions–Web Quest ANSWER KEY
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Website/Directions |
Ratio |
Question |
Proportion and Work |
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Google search “amount of ice cream a typical American eats per year”. Write the ratio for number of pounds of ice cream per year. |
______lbs
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How much ice cream will a typical Dayton Dragon fan eat at one game? |
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Google search “How much milk is needed to make a gallon of ice cream?” |
Ratio: _______lbs 1 gallon
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How much ice cream would the Dayton Dragons need to provide one serving for all 2017 fans seated in 5th/3rd stadium? |
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Google search, “number of games Dayton Dragons season” |
_______games 1 season
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If the Dragons have sold out every game since 2000; how much ice cream would the Dayton Dragons need for all those fans. |
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Step Three: Watch the following video to see the steps involved to determine if two ratios are a proportion or not. Write the steps (including the example given) on the back of your handout.
Step Four: The final step will deal with solving for an unknown quantity in a proportion. We will use the ideas of step three to help us with this. Then we will write our own proportions to solve several real-world problems.
Click on the following link
Click on the following link http://www.brainpop.com/math/ratioproportionandpercent/proportions/
Watch the video on proportions and write the movie ticket example as you watch. Then take the review quiz after. If you need to, watch the video a second time. Finally, do the four practice problems on your handout. You must write a proportion (make sure you label your numbers) before you solve for the question.
Evaluation
When you finish, you should read your handout and make sure you have completed all steps in the process. Compare your work with a partner. Discuss differences you may notice and get clarification from your instructor if you do not come to an agreement on any concept. Your evaluation will include a demonstration of your work on the handout and your comparison with a partner.
Conclusion
As you compare and read through your work, write down any questions you may have regarding any of the concepts covered in the webquest. Use your work as a resource to look up examples and definitions for future assignments. The following are other links that you may like to try for more practice with rate, ratio, unit rate, and proportion.
http://www.purplemath.com/modules/ratio.htm