Presentation on theme: "Using the Conversion Factor"— Presentation transcript:
1 Using the Conversion Factor Dimensional AnalysisUsing the Conversion FactorObjective: Make unit conversions
2 Fill in the Missing Numbers 121 foot = _____ inches1 meter = _____ centimeters1 pound = _______ ounces1 minute = ______ seconds1 hour = ________ minutes1 day = __________ seconds100166060What is the purpose of knowing these facts? Give me some examples.86,400
3 Unit conversion factor A unit conversion factor is a fraction whose numerator and denominator are equivalent measures. Some common unit conversion factors are given below. You can also use the reciprocal of these.1 ft? in.1 yd? ft1 mi1lb? oz1 pt? c1 qt? pt1 gal? qt1 hr? min1 min? s1m? cm1km? mFill in the blanks for as many as you know. Compare with your neighbor.
4 Unit conversion factor A unit conversion factor is a fraction whose numerator and denominator are equivalent measures. Some common unit conversion factors are given below. You can also use the reciprocal of these.Ask for some reciprocals so you know they understand.
5 Choose a unit conversion factor that… Introduces the unit you want in the answerCancels out the original unit so that the one you want is all that is left.
7 Practice: Choose the appropriate conversion factor. Inches to feetMinutes to hoursMeters to centimeters
8 Use the one that will cancel out the units you want to change Convert 8 yards to feet…Make a decision: What conversion factor will you use?Set up the problem: Multiply the measurement by the conversion factor.Hint!Use the one that will cancel out the units you want to changeSolve the problem: Perform the multiplication
9 A bucket holds 16 quarts. How many gallons of water will fill the bucket? Use a unit conversion factor to convert the units.What are the two conversion factors comparing quarts and gallons?Which one will “cancel” quarts?16 qt
10 You Try it!One bag of apples weighs 64 ounces. How many pounds does it weigh?Darren drank 2 liters of water. How many milliliters of water did he drink?
11 Making Rate Conversions Use a unit conversion to convert the units within each rate
12 Convert 80 miles per hour to feet per hour. Convert 63,360 feet per hour to miles per hour.
13 You Try it! Convert 32 feet per second to inches per second. A craft store charges $1.75 per foot for lace. How much per yard is this?
14 Word ProblemsThe average American eats 23 pounds of pizza per year. Find the number of ounces the average American eats per year.The average American eats 368 ounces of pizza per year.
15 How many seconds in an hour? Word Problems…A car traveled 60 miles on a road in 2 hours. How many feet per second was the car traveling? Hint: Set up the words first.How many seconds in an hour?Once you’ve determined how many seconds in an hour, decide which conversion factor you should use.The car traveled 44 feet per second.