
Dimensional Analysis
Presentation
•
Mathematics
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6th - 12th Grade
•
Practice Problem
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Hard
Katherine Furgeson
Used 44+ times
FREE Resource
23 Slides • 0 Questions
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Dimensional Analysis
Veterinary Science
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Dimensional Analysis can also be called the Unit Factor Method or the Label Method.
It's a way of converting through different types of measurement to end up with what is needed.
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Consider the following problem: A cat weighing 11 lbs requires an antibiotic at a dose of 15 mg/kg. The antibiotic comes in a concentration of 125 mg/5mL. How many mL do you give?
Here we have to go from lbs to kg then we need to figure mg/kg then mg/mL. This requires multiple conversions. Here's where Dimensional Analysis comes in handy!
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Let's start with a YouTube clip.....
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Let's do a fun one!!! Here we need the conversion factor for:
1. Students per class
2. Slices per student
3. Slices in each pizza
4. Price per pizza
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Here are the conversion factors!
Notice that every segment is equal. 25 Students = 1 class. 2 slices = 1 student. 1 pizza = 5 slices. $10.00 = 1 pizza.
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Cross out the units that match but leave the numerical values.
Students
Slices
Pizza
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Multiply and divide the numerical values left.
Multiply 25 x 2 x 1 x 10 = 500
Multiply 1 x 1 x 5 x 1 = 5
Then divide 500÷5 = 100
1 class100 dollars
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Our final answer is $100 to feed the entire class.
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Let's look back at our initial problem again:
A cat weighing 11 lbs requires an antibiotic at a dose of 15 mg/kg. The antibiotic comes in a concentration of 125 mg/5mL. How many mL do you give?
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Set up the problem with the conversion factors:
11 lbs = 1 cat. 1 kg = 2.2 lbs. 15 mg = 1 kg. 5 mL = 125 mg.
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Cross off the units that cancel out.
lbs
kg
mg
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Multiply across then divide
11×1×15×5=825
1×2.2×1×125=275
275825=3
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Our answer is 3 mL
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Let's try one more!
A cat weighing 4.5 kg needs insulin at 1.5 international units (IU) per kg. The insulin comes in a strength of 10 IU per mL. How much insulin do you give? (answer to nearest tenth of a mL)
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Find the conversion factors and set up the problem.
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Here is our problem!
4.5 kg = 1 cat. 1.5 IU = 1 kg. 1 mL = 10 IU.
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Cross off the units that cancel each other out. Leave the numerical value.
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Multiply across then end with division.
4.5×1.5×1=6.75
1×1×10=10
106.75=0.675
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0.675 rounded to the nearest tenth is 0.7
Our answer is 0.7 mL
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YOU CAN DO IT!!!!!
Dimensional Analysis
Veterinary Science
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