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Rules, Tables, and Graphs: Lesson 10.4 Standard 2.5.5.B: Use appropriate mathematical terms, vocabulary, language, symbols, and graphs to explain clearly and logically solutions to problems Standard 2.8.5.B: Select and use strategies, including concrete objects, to solve number sentences (equations and inequalities) and explain the method of solution. Standard 2.8.5.C: Recognize, describe, extend, create, replicate, and form a rule for a variety of patterns, sequences, and relationships verbally, numerically, symbolically, and graphically. Standard 2.8.5.D: Determine a functional rule from a table or graph. Standard 2.8.5.E: Use concrete objects and combinations of symbols and numbers to create expressions, equations, and inequalities that model mathematical situations. Standard 2.8.5.F: Describe data represented in equations, inequalities, tables, or graphs and/or create a story that matches that data. By Jenna Max, April 2010 LEQ: How do I develop representational forms for rates?

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Mental Math TE 804 and top of Math Journal 346

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Rate Rate describes a relationship between two quantities or amounts Each quantity in a rate has a different unit: Miles and hours: rate would be miles per hour Dollars and pounds: rate would be dollars per pound

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Rate Continued… how manyRate tells how many of one type of thing there are for a certain type of another thing Example:Example: Speed/pace –A speed tells how many units of distance there are for a given unit of time –60 miles per hour –60 miles per hour is a rate that says a distance of 60 miles is traveled for each hour of time

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Rate Continued… With rate, we often see the word perWith rate, we often see the word per (50 miles per hour, 5 dollars per pound, 10 rainy days per month) Rate can be displayed in FRACTIONS:Rate can be displayed in FRACTIONS: 3 apples 12 inches 36 inches 89 cents 24 hours 1 yard

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Lets try this together MJ 346MJ 346

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Math Journal 346 Number Model: _________________ 48060 minutes 1hour 1 hour 48060 6060 480/60= 8 miles per minute

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Explain it: Because there are 60 minutes in an hour, divide 480 by 60. This gives us the distance traveled per minute! 48060 6060 480/60= 8 miles per minute

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Lets try another At 8 miles per minute, how far will a plane travel in 10 minutes? 8 miles10 1 min.10 = 80 miles 10 minutes Lets practice graphing our data: MJ 347

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