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Factor Labeling

by. Richard J. Terwilliger. Factor Labeling. who. Who turned off the lights?. Factor Labeling. Factor Labeling. Factor Labeling. Factor Labeling. Factor Labeling. Factor Labeling. Factor Labeling. Thanks, that sure is bright!. Factor Labeling. Factor Labeling. Factor Labeling.

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Factor Labeling

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  1. by Richard J. Terwilliger Factor Labeling who Who turned off the lights? Factor Labeling Factor Labeling Factor Labeling Factor Labeling Factor Labeling Factor Labeling

  2. Factor Labeling Thanks, that sure is bright! Factor Labeling Factor Labeling Factor Labeling Factor Labeling Factor Labeling

  3. Let’s review the method Factor Labeling Factor Labeling Factor Labeling Factor Labeling Factor Labeling Factor Labeling Factor Labeling

  4. Using the we’ll determine the number of kilometers in 1 mile Factor Labeling Method Factor Labeling 1 mi = ? km

  5. To do this we need to know some basic conversions. conversions Factor Labeling 1 mile = 5280 feet 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  6. You should learn these common conversions. conversions Factor Labeling 1 mile = 5280 feet 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  7. To start the conversion from miles to kilometers we draw a set of brackets. conversions Factor Labeling 1 mile = 5280 feet 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  8. Then draw a horizontal line that divides the brackets, top to bottom. conversions Factor Labeling 1 mile = 5280 feet 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  9. 1 mi. Again, we are converting 1 mile into kilometers so we’ll place 1 mile above the line. conversions Factor Labeling 1 mile = 5280 feet 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  10. 1 mi. Leave this blank Leave this blank There’s no denominator so we’ll leave the bottom blank. conversions Factor Labeling 1 mile = 5280 feet 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  11. We need to convert miles into feet, feet into inches, inches into centimeters, centimeters into meters and finally meters into kilometers. 1 mi. conversions Factor Labeling 1 mile = 5280 feet 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  12. 1 mi. Let’s get started and convert the miles into feet! conversions Factor Labeling 1 mile = 5280 feet 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  13. 1 mi. Draw another set of brackets with a horizontal line next to the first set. conversions Factor Labeling 1 mile = 5280 feet 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  14. 1 mi. mi. We’re going to match units in the numerator with units in the denominator. Place miles in the bottom of the second set of brackets. This matches the miles already on the top in the first set of brackets. conversions Factor Labeling 1 mile = 5280 feet 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  15. 1 mi. ft. mi. We will change miles into feet so place feet directly above miles conversions Factor Labeling 1 mile = 5280 feet 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  16. 1 mi. ft. 5280 mi. 1 There’s 5280 feet in 1 mile. To fill in the conversion, place 5280 next to feet and 1 next to miles. conversions Factor Labeling 1 mile = 5280 feet 1 mile = 5280 feet 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  17. mi. mi. 1 mi. ft. 5280 mi. 1 As you can see, the miles on the top of the first set of brackets matches with the miles in the bottom of the second set of brackets. conversions Factor Labeling 1 mile = 5280 feet 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  18. mi. mi. mi. mi. mi. reduces to one so we have changed to feet. 1 1 mi. ft. 5280 mi. 1 conversions Factor Labeling 1 mile = 5280 feet 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  19. mi. mi. 1 mi. ft. 5280 mi. 1 The same process will be used to change feet into inches! Watch closely as it’s done. conversions Factor Labeling 1 mile = 5280 feet 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  20. mi. mi. 1 mi. ft. 5280 mi. 1 Draw a set of brackets and then the horizontal line. conversions Factor Labeling 1 mile = 5280 feet 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  21. mi. mi. 1 mi. ft. 5280 mi. 1 ft. Match units top to bottom. conversions Factor Labeling 1 mile = 5280 feet 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  22. mi. mi. 1 mi. ft. 5280 in. mi. 1 ft. Place in the conversion units. (What are we converting to? In this case feet into inches.) conversions Factor Labeling 1 mile = 5280 feet 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  23. mi. mi. 1 mi. ft. 5280 12 in. mi. 1 1 ft. Fill in the conversion numbers. conversions Factor Labeling 1 mile = 5280 feet 1 foot = 12 inches 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  24. mi. mi. 1 mi. ft. 5280 12 in. mi. 1 1 ft. Cross out the units that reduce. conversions Factor Labeling 1 mile = 5280 feet 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  25. mi. ft. mi. ft. Again reduces to leaving inches. ft. 1 ft. 1 mi. ft. 5280 12 in. mi. 1 1 ft. conversions Factor Labeling 1 mile = 5280 feet 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  26. mi. mi. ft. ft. 1 mi. ft. 5280 12 in. mi. 1 1 ft. The next step is to convert inches into centimeters. conversions Factor Labeling 1 mile = 5280 feet 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  27. mi. in. mi. in. ft. ft. 1 mi. ft. 5280 12 in. cm. 2.54 mi. 1 1 1 in. ft. Follow the steps as I demonstrate!. conversions Factor Labeling 1 mile = 5280 feet 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  28. mi. cm. in. mi. in. cm. ft. ft. 1 mi. ft. 5280 12 in. cm. m. 2.54 1 mi. 1 cm. 1 1 in. 100 ft. Now convert centimeters into meters. conversions Factor Labeling 1 mile = 5280 feet 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  29. mi. cm. m. in. mi. in. m. cm. ft. ft. 1 mi. ft. 5280 12 in. cm. m. km. 2.54 1 1 mi. 1 cm. 1 1 in. 100 1000 m. ft. The final step, converting meters into kilometers. conversions Factor Labeling 1 mile = 5280 feet 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters 1 kilometer = 1000 meters

  30. mi. cm. m. in. mi. in. m. cm. ft. ft. 1 mi. ft. 5280 12 in. cm. m. km. 2.54 1 1 mi. 1 cm. 1 1 in. 100 1000 m. ft. Our units are now in kilometers! conversions Factor Labeling 1 mile = 5280 feet 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  31. mi. cm. m. in. mi. in. cm. m. ft. ft. 1 mi. ft. 5280 12 in. cm. m. km. 2.54 1 1 mi. 1 cm. 1 1 in. 100 1000 m. ft. To finish up we multiply all of the numbers on the top. (1 x 5280 x 12 x 2.54 x 1 x 1) 160934 = conversions Factor Labeling 1 mile = 5280 feet 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  32. mi. m. cm. in. mi. in. m. cm. ft. ft. 1 mi. ft. 5280 12 in. cm. m. km. 2.54 1 1 mi. 1 cm. 1 1 in. 100 1000 m. ft. Multiply all of the numbers on the bottom and then divide. (1 x 1 x 1 x 100 x 1000 ) 160934 = 100000 = 1.61 km. conversions Factor Labeling 1 mile = 5280 feet 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  33. mi. cm. m. in. mi. in. m. cm. ft. 1 mile = 1.61 kilometers ft. 1 mi. ft. 5280 12 in. cm. m. km. 2.54 1 1 mi. 1 cm. 1 1 in. 100 1000 m. ft. 160934 = 100000 = 1.61 km. conversions Factor Labeling 1 mile = 5280 feet 1 foot = 12 inches 1 mi = ? km 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  34. Ready to do a more complicated conversion? Factor Labeling conversions 1 mile = 5280 feet 1 foot = 12 inches 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  35. 70 km ?m = hr s OK, Lets convert 70 kilometers/hour to meters/second? Factor Labeling conversions 1 mile = 5280 feet 1 foot = 12 inches 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  36. 70 km ?m = hr s We start the conversion the same way as before. Draw a set of brackets and a horizontal line. Factor Labeling conversions 1 mile = 5280 feet 1 foot = 12 inches 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  37. 70 km ?m = hr s 70 km. hr. Next, fill in the 70 kilometers per hour. Kilometers on the top, hours on the bottom. Factor Labeling conversions 1 mile = 5280 feet 1 foot = 12 inches 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  38. 70 km ?m = hr s 70 km. hr. For right now ignore the hours and convert kilometers to meters. Factor Labeling conversions 1 mile = 5280 feet 1 foot = 12 inches 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  39. 70 km ?m = hr s 70 km. hr. To change km to m, draw another set of brackets with the horizontal line. Factor Labeling conversions 1 mile = 5280 feet 1 foot = 12 inches 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  40. 70 km ?m = hr s 70 km. hr. km. Fill in your units… km on the bottom to match the km on the top . Factor Labeling conversions 1 mile = 5280 feet 1 foot = 12 inches 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  41. 70 km ?m = hr s m. 70 km. hr. km. And then meters on the top. Factor Labeling conversions 1 mile = 5280 feet 1 foot = 12 inches 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  42. 70 km ?m = hr s m. 70 1000 km. hr. 1 km. There are 1000 meters in 1 kilometer. Factor Labeling conversions 1 mile = 5280 feet 1 foot = 12 inches 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters 1 kilometer = 1000 meters

  43. km. km. The reduce and drop out. 70 km ?m = hr s m. 70 1000 km. hr. 1 km. Factor Labeling conversions 1 mile = 5280 feet 1 foot = 12 inches 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  44. 70 km ?m = hr s m. 70 1000 km. hr. 1 km. We now have meters per hour and have to change hours into seconds. Factor Labeling conversions 1 mile = 5280 feet 1 foot = 12 inches 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  45. 70 km ?m = hr s m. 70 1000 km. hr. 1 km. Another bracket set and horizontal line. Factor Labeling conversions 1 mile = 5280 feet 1 foot = 12 inches 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  46. 70 km ?m = hr s hr. m. 70 1000 km. hr. 1 km. min. Place hours on top and minutes on the bottom. Factor Labeling conversions 1 mile = 5280 feet 1 foot = 12 inches 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  47. 70 km ?m = hr s 1 hr. m. 70 1000 km. hr. 1 km. 60 min. There are 60 minutes in 1 hour! Factor Labeling conversions 1 mile = 5280 feet 1 foot = 12 inches 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  48. 70 km ?m = hr s 1 hr. m. 70 1000 km. hr. 1 km. 60 min. The hours reduce to one and drop out. Factor Labeling conversions 1 mile = 5280 feet 1 foot = 12 inches 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

  49. 70 km ?m = hr s 1 hr. m. 70 1000 km. hr. 1 km. 60 min. Now, convert minutes into seconds! Factor Labeling conversions 1 mile = 5280 feet 1 foot = 12 inches 1 inch = 2.54 centimeters 1 meter = 100 centimeters 1 kilometer = 1000 meters

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