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Understanding Ratios and Similar Shapes: Concepts and Problem Solving

This resource delves into the concepts of ratios and similar shapes, answering key questions about their significance. It explains what it means for two items or shapes to be similar and provides practical applications through word problems. Examples include determining the number of cookies you can buy for $2.00 and calculating turkey costs using ratios to find unit rates. Additionally, it covers speed calculations based on distance and time, offering a comprehensive understanding of these mathematical concepts with online resources for further learning.

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Understanding Ratios and Similar Shapes: Concepts and Problem Solving

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Presentation Transcript

  1. Ratios and Similar Shapes

  2. What do you know? What does it mean if two things are similar? What does it mean if two shapes are similar?

  3. Word Problems: Finding Rates • Cookies are 23 cents for 1. If I have $2.00, how many can I buy?

  4. Explain the Strategy you used to solve the problem

  5. Explain the Strategy you used to solve the problem • Counting by .23 until you got close to 2.00 • Dividing 2.00 by .23 • Using a ratio • Other?

  6. Using a Ratio is What You are Actually Doing, any Way that You Solve the Problem

  7. Use a Ratio to Solve It costs $100 for a 25-pound turkey. If I spent $75, how big is my turkey?

  8. We often use a Ratio to find the Unit Rate… Back to the turkey…. If a 25-pound bird costs $100, how much does turkey cost per pound?

  9. Set Up a Ratio….

  10. We often use a Ratio to find the Unit Rate… We use unit rate to calculate speed a lot If I am in a bus that travels 450 miles in 5 hours, how many miles per hour is the bus travelling?

  11. Online Resources http://www.phschool.com/webcodes10/index.cfm?fuseaction=home.gotoWebCode&wcprefix=ana&wcsuffix=2354 1)Pearson CMP practice problems: Corresponding sides of similar shapes http://www.phschool.com/webcodes10/index.cfm?fuseaction=home.gotoWebCode&wcprefix=ana&wcsuffix=2254 2)Graphing points to find similar shapes http://www.phschool.com/webcodes10/index.cfm?fuseaction=home.gotoWebCode&wcprefix=ana&wcsuffix=3254 3)Ratios and Scaling post-test

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