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Creating Multiple Proportions

Join us on Sunday, July 13, 2014, to enhance your skills in using proportional reasoning to solve problem situations. Explore the definitions of ratios and proportions while creating multiple proportions. Practice scenarios like Ted eating pancakes and Mr. Cain selling candy bars to apply your knowledge effectively. Discover how to create and solve different proportions and strengthen your understanding of mathematical concepts.

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Creating Multiple Proportions

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  1. Creating Multiple Proportions Sunday, July 13, 2014 We are learning to…use proportional reasoning to solve problem situations.

  2. Vocabulary Review: • What is a ratio? • A comparison of two quantities, usually written in the form of a fraction in simplest form. • What is a proportion? • Two ratios set equal to one another.

  3. Creating Multiple Proportions • Ted eats 6 pancakes in 2 days. How many days will it take Ted to eat 15 pancakes? Table: Proportion: (15) (15)

  4. Creating Multiple Proportions • Insert that missing value into your table. “Prove that you have created equal ratios.” “Is there only one proportion that you could have created to solve this problem?”

  5. Creating Multiple Proportions “What about creating proportions from data vertically in the table?” This is one proportion! Solve this proportion! (2) (2)

  6. Creating Multiple Proportions • We know we can make proportions horizontally and vertically using the table…whatabout diagonally? We cannot use these ratios to help us solve because they do not create equal ratios (proportions). 1. Do these make equal ratios? 2. Can we make a true proportion? Why does this comparison not give us a proportion? 3. Can we use this to help us find a solution? Why or why not?

  7. Creating Multiple Proportions • Practice: • Mr. Cain sells 4 candy bars every 5 hours. How long will it take him to sell 16 candy bars? Your job: Create and solve TWO different proportions that could be used to find the solution in this problem situation. Be ready to share with the class.

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