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Published byMats Hedlund Modified over 6 years ago
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Clear off desk and get out something to write with
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Turn to page 12 Leave page 11 BLANK!!
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Dimensional Analysis
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Dimensional Analysis:
A mathematical tool used to convert from one type of unit to another type of unit The Method Ladder
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Situation: You need to change $50 dollars into nickels
Situation: You need to change $50 dollars into nickels. How many nickels do you need ???
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1. Write down what we are given
We need a plan of attack! (4 Steps) 1. Write down what we are given $50 dollars
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We need a plan of attack! 2. Find a common ratio
1. Write down what we are given 2. Find a common ratio $1 dollar = 20 nickels
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We need a plan of attack! 1. Write down what we are given 2. Find a common ratio $1 dollar = 20 nickels 3. Place the ratio on the ladder so the unit that’s given is on the bottom
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$50 dollars 20 nickels $1 dollar
Situation: You need to change $50 dollars into nickels. How many nickels do you need ??? $50 dollars 20 nickels $1 dollar
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We need a plan of attack! 4. Simplify!!!
1. Write down what we are given 2. Find a common ratio $1 dollar = 20 nickels 3. Place the ratio in the chart so that unit that is in the given is on the bottom 4. Simplify!!!
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Simplify means cancel out units and do the math
$50 dollars 20 nickels $1 dollar 1000 nickels Simplify means cancel out units and do the math (Multiply the top and divide on the bottom)
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inches
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English System inches feet yard mile
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English System mm inches feet yard mile
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English System mm inches cm feet dm meter yard mile km
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English System mm inches cm feet dm meter yard mile km
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English System mm inches cm feet 1 dm meter yard mile km
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English System mm inches cm feet 1 2.54 dm meter yard mile km
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Common equalities: 1 inch = 2.54 cm 60 seconds = 1 minute
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1 m = 10 dm 1 mile = 5280 ft. 3 ft. = 1 yard 1 m = 3.28 ft.
Equalities 1 m = 10 dm 1 mile = 5280 ft. 3 ft. = 1 yard 1 m = 3.28 ft. 2.54 cm = 1 inch
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English System mm inches cm feet 1 2.54 dm meter yard mile km 1 3.28 1
1.09 mile km 1 1.61
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Problem 1: Convert - 8.5 cm = ? inches
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Problem 1: 1 in 8.5 cm ______________ 2.54 cm = 3.35 in.
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1 in 12.75 cm ______________ 2.54 cm = 5.02 in. 12.75 cm = ? in
Problem 2: 12.75 cm = ? in 1 in 12.75 cm ______________ 2.54 cm = 5.02 in.
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Problem 3: 32 ft second = meters min ?
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1 m 32 ft 60 sec 1 min ______________ sec 3.28 ft 585.37 m_ min =
Problem 3: 1 m 32 ft 60 sec 1 min ______________ sec 3.28 ft 32 ft/sec to meters/min 32 ft meter sec min m_ min =
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Worksheet: Dimensional Worksheet #1 DUE:
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Worksheet: Dimensional Worksheet #1 DUE: In 20 Min.
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