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I can compare equivalent ratios. I can use equivalent ratios to solve 4 out of 5 problems. Real World Connections: sports, cooking, shopping,Warm Up,What is an ANALOGY?,An analogy compares two things and finds some relationship that exists.Example:Dog is to bark as cat is to _Hot is to cold as new is to _,What is a Ratio?,A ratio makes comparisons between two Numbers.A ratio can be written in 5 ways1 to 41:40.2525%,These are ratios represented as a decimal (by dividing) & a percent.,Example of ratios in sports,FootballFootball statisticians keep track of the percent of successful field goals made by a kicker using the following ratio:,So, what is a kickers kicking ratio if he attempted 35 field goals and completed 30 of them?,Equivalent Ratios,Equivalent ratios represent the same numbers.To check if they are equivalent, write both ratios in simplest form and see if they are the same.,Which ratios are equivalent?2 to 3 and 8 to 65 to 10 and 15 to 3012 : 2 and 6 : 1,You try,415,721,Find a ratios that is equivalent to each given ratio.,Real Life Ex: Horticulture,Carlos feeds his houseplants with a mixture of liquid plant food and water. This mixture calls for 3 parts plant food to 8 parts water. What is the ratio of plant food to water? How much plant food should he mix with 40 fl oz of water?,Answers to Example,Method 1Make a table and extend it to 40 oz.So, Carlos should mix 15 fl oz of plant food with 40 fl oz of water.,Method 2Set up as a fraction & figure out the factor used to get the new num. or denom.,Classwork,1. Make a table to find 3 equivalent ratios for the ratio: 3 to 52. Put in simplest form to see if these ratios are equivalent: 12:15 and 27: 363. Kate poured 8 oz of juice from a 64 oz bottle. Brian poured 16 oz of juice
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