Rate and Unit Rate First and foremost a
- Slides: 14
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 0 4 Miles Hours
“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. Price 0 $15. 45 0 3 Pound
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? Words 8 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 Unit Rate
Convert Measurement Units Using Rates Rob ran 6 miles per hour. How many miles would he run in 3 hours. 6 Miles x hour 10 hours = 6 miles Hour X 10 hours 1 = 60 miles
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).
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