Rate and Unit Rate First and foremost, a rate is a ratio! The difference? A rate compares two things that are measured with different units. Miles per hour Feet per second Price per pound Books per week Ounces per bottle Calories per serving …

24 bottles : 8 minutes = 24 bottles per 8 minutes = 3 bottles/minute The Ratio The Rate The UNIT Rate

“How fast were you going?” Ratio – 208 miles:4 hours By dividing the 208 by 4, you uncover the unit rate, 52 mph. 0 208 Miles Hours 0 4

“How much did you pay for those strawberries?” “You should have gone to Shop Rite.” Ratio – 3 pounds:$15.45 By dividing the $15.45 by 3, you uncover the unit rate, $5.15/lb. 0 $15.45 Price Pound 0 3

Using Double Number Lines to Find the Unit (and beyond…) Snoopy can type 8 words in ¼ minutes. How many words can he type in 15 minutes? 8 Words Minutes ¼

Understanding Ratios as Unit Rates (Value) 2 gallons to 3 minutes = 2/3 gallons per minute 3 pages to 4 minutes = ¾ page per minute 1 page to 2 hours = ½ page per hour AND Reverse… 8/9 feet per second = 8 feet to 9 seconds 4/5 miles per hour = 4 miles to 5 hours 2/3 cups per minute = 2 cups to 3 minutes

Using Division to Find the Unit Rate $10.50 / 3 lbs. 22 pages / 5 hours 9 words / ¼ minute

Convert Measurement Units Using Rates Rob ran 6 miles per hour. How many miles would he run in 3 hours. 6 10 hours = Miles hour = 60 miles x 6 miles 10 hours Hour 1 X

Graphing and Interpreting Rates on a Coordinate Plane

Comparison Shopping – Unit Price

Distance = Rate x Time … d = rt Any problem that includes time, rate, and/or distance can be solved by using the distance formula (above).

DRT problems from Smart