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Rules, Tables, and Graphs:
Lesson 10.4
By Jenna Max, April 2010
LEQ: How do I develop representational forms for rates?
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.
Mental Math
TE 804 and top of
Math Journal 346
• 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
Rate Continued…
• Rate tells how many of one type of thing
there are for a certain type of another thing
• Example: Speed/pace
– A speed tells how many units of distance
there are for a given unit of time
– 60 miles per hour is a rate that says a
distance of 60 miles is traveled for each hour
of time
Rate Continued…
• With 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:
3 apples
89 cents
12 inches
24 hours
36 inches
1 yard
Let’s try this together
• MJ 346
Math Journal 346
Number Model: _________________
60 minutes
1 hour
480/60= 8 miles per minute
Explain it:
Because there are 60 minutes in an hour,
divide 480 by 60. This gives us the distance
traveled per minute!
480/60= 8 miles per minute
Let’s try another
At 8 miles per minute, how far will a plane
travel in 10 minutes?
8 miles
1 min.
= 80 miles
10 minutes
Let’s practice graphing our data: MJ 347