1. 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?

2. Mental Math TE 804 and top of Math Journal 346

3. 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

4. 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

5. 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

6. Lets try this together MJ 346MJ 346

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

8. 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

9. 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