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Factor Label Method AKA Dimensional Analysis

Factor Label Method AKA Dimensional Analysis. A method of converting one unit in a problem to another unit using a series of conversion factors. Question: What is Dimensional Analysis?.

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Factor Label Method AKA Dimensional Analysis

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  1. Factor Label MethodAKA Dimensional Analysis

  2. A method of converting one unit in a problem to another unit using a series of conversion factors. Question: What is Dimensional Analysis?

  3. Steps:1. Identify starting & ending units.2. Line up conversion factors so units will cancel.3. Multiply all top numbers & divide by product of bottom numbers.4. Check units & answer. How do you use Dimensional Analysis?

  4. Dimensional analysis What is given A ratio equal to one

  5. Dimensional analysis What is given A conversion factor

  6. 1 in = 2.54 cm

  7. 1 in 2.54 cm 2.54 cm 1 in 1 in = 2.54 cm Conversion Factors: 60 cm x 60 in x

  8. Dimensional Analysis 1hr = ? ms 1 hr

  9. Dimensional Analysis 1hr = ? ms 1 hr 60 min 1 hr X

  10. Dimensional Analysis 1hr = ? ms 1 hr 60 min 1 hr X

  11. Dimensional Analysis 1hr = ? ms 1 hr 60 min 60 s 1 hr 1 min X X

  12. Dimensional Analysis 1hr = ? ms 1 hr 60 min 60 s 1 hr 1 min X X

  13. Dimensional Analysis 1hr = ? ms 1 hr 60 min 60 s 1000 ms 1 hr 1 min 1 s X X X

  14. Dimensional Analysis 1hr = ? ms 1 hr 60 min 60 s 1000 ms 1 hr 1 min 1 s X X X

  15. Dimensional Analysis 1hr = ? ms 1 hr 60 min 60 s 1000 ms 1 hr 1 min 1 s X X X 1 hr 60 min 60 s 1000 ms 1 hr 1 min 1 s = 3.6 x 106 ms

  16. Jenny wants to surprise her 25 closest friends by making them each a shirt by hand. She received the shirts for free, but for each shirt Jenny has to sew six buttons on, which takes ten minutes. Jenny was happy to find a sale on buttons going on at the local craft store selling three packages of buttons, each package containing 150 buttons, for $5.00. How much will it cost Jenny to make all of her presents?

  17. Jenny wants to surprise her 25 closest friends by making them each a shirt by hand. She received the shirts for free, but for each shirt Jenny has to sew six buttons on, which takes ten minutes. Jenny was happy to find a sale on buttons going on at the local craft store selling three packages of buttons, each package containing 150 buttons, for $5.00. How much will it cost Jenny to make all of her presents? What units should be on the answer? • shirts/package • $/all presents • minutes/shirt • $/package • buttons/all presents • all presents/$ • package/buttons • package/$ • $/shirt

  18. Jenny wants to surprise her 25 closest friends by making them each a shirt by hand. She received the shirts for free, but for each shirt Jenny has to sew six buttons on, which takes ten minutes. Jenny was happy to find a sale on buttons going on at the local craft store selling three packages of buttons, each package containing 150 buttons, for $5.00. How much will it cost Jenny to make all of her presents? What units should be on the answer? • shirts/package • $/all presents • minutes/shirt • $/package • buttons/all presents • all presents/$ • package/buttons • package/$ • $/shirt

  19. Jenny wants to surprise her 25 closest friends by making them each a shirt by hand. She received the shirts for free, but for each shirt Jenny has to sew six buttons on, which takes ten minutes. Jenny was happy to find a sale on buttons going on at the local craft store selling three packages of buttons, each package containing 150 buttons, for $5.00. How much will it cost Jenny to make all of her presents? The problem tells us that 3 packages of buttons costs $5.00, so 3 packages = $5.00 To solve this problem it would be best to use this equality represented as which factor below? • $5.00___ • 3 packages • 3 packages • $5.00

  20. Jenny wants to surprise her 25 closest friends by making them each a shirt by hand. She received the shirts for free, but for each shirt Jenny has to sew six buttons on, which takes ten minutes. Jenny was happy to find a sale on buttons going on at the local craft store selling three packages of buttons, each package containing 150 buttons, for $5.00. How much will it cost Jenny to make all of her presents? The problem tells us that 3 packages of buttons costs $5.00, so 3 packages = $5.00 In this problem which way should we use this equality? • $5.00___ • 3 packages • 3 packages • $5.00

  21. Jenny wants to surprise her 25 closest friends by making them each a shirt by hand. She received the shirts for free, but for each shirt Jenny has to sew six buttons on, which takes ten minutes. Jenny was happy to find a sale on buttons going on at the local craft store selling three packages of buttons, each package containing 150 buttons, for $5.00. How much will it cost Jenny to make all of her presents? Which equality is NOT needed to solve this problem? • 1 shirt = 6 buttons • $5.00 = 3 packages • 10 minutes = 1 shirt • 150 buttons = 1 package • presents = 25 shirts

  22. Jenny wants to surprise her 25 closest friends by making them each a shirt by hand. She received the shirts for free, but for each shirt Jenny has to sew six buttons on, which takes ten minutes. Jenny was happy to find a sale on buttons going on at the local craft store selling three packages of buttons, each package containing 150 buttons, for $5.00. How much will it cost Jenny to make all of her presents? Which equality is NOT needed to solve this problem? • 1 shirt = 6 buttons • $5.00 = 3 packages • 10 minutes = 1 shirt • 150 buttons = 1 package • presents = 25 shirts

  23. Jenny wants to surprise her 25 closest friends by making them each a shirt by hand. She received the shirts for free, but for each shirt Jenny has to sew six buttons on, which takes ten minutes. Jenny was happy to find a sale on buttons going on at the local craft store selling three packages of buttons, each package containing 150 buttons, for $5.00. How much will it cost Jenny to make all of her presents? To solve this problem we need many factors. Use the units to guide you and determine of these factors shown, which are correct (choose all that apply) • 1 package • 150 buttons • 150 buttons • 1 package • 25 shirts • all presents • all presents • 25 shirts 5. 1 shirt 6 buttons 6. 6 buttons 1 shirt

  24. Jenny wants to surprise her 25 closest friends by making them each a shirt by hand. She received the shirts for free, but for each shirt Jenny has to sew six buttons on, which takes ten minutes. Jenny was happy to find a sale on buttons going on at the local craft store selling three packages of buttons, each package containing 150 buttons, for $5.00. How much will it cost Jenny to make all of her presents? To solve this problem we need many factors. Use the units to guide you and determine of these factors shown, which are correct (choose all that apply) • 1 package • 150 buttons • 150 buttons • 1 package • 25 shirts • all presents • all presents • 25 shirts 5. 1 shirt 6 buttons 6. 6 buttons 1 shirt

  25. Jenny wants to surprise her 25 closest friends by making them each a shirt by hand. She received the shirts for free, but for each shirt Jenny has to sew six buttons on, which takes ten minutes. Jenny was happy to find a sale on buttons going on at the local craft store selling three packages of buttons, each package containing 150 buttons, for $5.00. How much will it cost Jenny to make all of her presents? How much will it cost Jenny to make all of her presents? • $16.67/all presents • $1.67/all presents • $370/all presents • $ 37500/all presents • $166.67/all presents

  26. Jenny wants to surprise her 25 closest friends by making them each a shirt by hand. She received the shirts for free, but for each shirt Jenny has to sew six buttons on, which takes ten minutes. Jenny was happy to find a sale on buttons going on at the local craft store selling three packages of buttons, each package containing 150 buttons, for $5.00. How much will it cost Jenny to make all of her presents? How much will it cost Jenny to make all of her presents? $5.00 3 packages 1 package 150 buttons 6 buttons 1 shirt 25 shirt all presents • $16.67/all presents • $1.67/all presents • $370/all presents • $ 37500/all presents • $166.67/all presents

  27. Chloe the kangaroo wants to travel from Melbourne to the Northern territory of Australia to shop for a new pouch for Joey. She hops 50 km in 0.769 hour and needs to take 30 hops every minute to travel at that speed. How many hops will it take to travel the entire distance (to the Northern Territory and back), a distance of about 3157 km each way.

  28. Chloe the kangaroo wants to travel from Melbourne to the Northern territory of Australia to shop for a new pouch for Joey. She hops 50 km in 0.769 hour and needs to take 30 hops every minute to travel at that speed. How many hops will it take to travel the entire distance (to the Northern Territory and back), a distance of about 3157 km each way. 174,797 hops/entire trip She must be tired!!

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