Easy to assess and grade Dimensional Analysis Consistent problem solving approach Reinforces unit conversion Simplifies computation Easy to assess and grade
5 Steps of Dimensional Analysis Start with what value is known, proceed to the unknown. Draw the dimensional lines (count the “jumps”). Insert the unit relationships. Cancel the units. Do the math, include units in answer.
Write the KNOWN, identify the UNKNOWN. EX. How many quarts is 9.3 cups? 9.3 cups = ? quarts Draw the dimensional “jumps”. 9.3 cups x 4 cups = 1 quart
Do the Math 1 quart 9.3 cups x 4 cups 2.325 s
Show ALL Work No shortcuts Use proper abbreviations
Given the following information: 1 quark = 2 Given the following information: 1 quark = 2.9 whos 1 whos = 5 mabees 1 bug = 3.7 quarks 1 kuz = 3.2 mabees 3 Quarks = How many bugs 3 Quarks X 1 bug 3.7 Quarks
Given the following information: 1 quark = 2 Given the following information: 1 quark = 2.9 who’s 1 who’s = 5 mabees 1 bug = 3.7 quarks 1 kuz = 3.2 mabees 0.65 bugs 7 who’s = How many bugs 7 who's X 1 quark X 1 bug 2.9 who's 3.7 quarks
End of slide show, click to exit.
Time conversions 1 year = 365 days 1 day = 24 hours 1 hour = 60 min 1 min = 60 sec
How many seconds are in one year? Set up the jumps. years X days X hours minutes seconds years 1 year = 365 days 1 day = 24 hours 1 hour = 60 min 1 min = 60 sec
1 year = 31,536,000 seconds 1 year = 365 days 1 day = 24 hours 1 years X 365 days X 24 hours 60 minutes 60 seconds 1 years 1 days 1 hours 1 minutes 1 year = 365 days 1 day = 24 hours 1 hour = 60 min 1 min = 60 sec