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Math Moment – Automotive Technologies
HS.N-Q.A.1 Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.
Property of Pima County JTED 2014
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You will need:Conversion sheetCalculatorNote-takerWorksheet
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Automotive Technologies
Unit ConversionAKA Dimensional Analysis
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BellworkThink about times you have
needed to convert from one unit to another.
List at least 1on your note-taker.
Share with your partner.
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Possible AnswersConverting money
◦Dollars to quarters
Convert time◦Hours to minutes
Convert distance◦Feet to yards
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Math CheckThe math skill you will need to know to
be successful today is multiplying fractions.
Remember:
1.
2. =
2
3•
916
=
6•38
numerator
denominator
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TerminologyConversion factor – when two
quantities are equal, but have different units.◦Example: 1 minute = 60 seconds
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Vocabulary Square1
2
Fill this in during the lesson
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Benefits for YouConsistent problem solving
approachSimplified computationSame strategy is used in math,
chemistry and physics
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Steps1. Write down what you are given as a
fraction2. Find the conversion factor or factors3. Set up the equation4. Cancel units – make sure the
remaining units are what you want5. Do the math
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Learn the stepsTake 60 seconds and learn the 5
steps
1. Write given as fraction2. Find the conversion factors3. Set up the equation4. Cancel units 5. Do the math
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Check the StepsNumber the steps from 1-5 to put them in the correct order.
Do the math
Cancel units
Set-up the equation
Write given as a fraction
Find the conversion factors
2.
1.
5.
3.
4.
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Example 1Convert $5 to quarters
Step 1: Write what you are given as a fraction
$5
1
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Step 2: Find the conversion factor or factors
$1 = 4 quarters
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Step 3: Set up the equation
$5
1•4 quarters
$1=
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Step 4: Cancel the units
$5
1•4 quarters
$1=
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Step 5 Do the math
$5
1•4 quarters
$1= 20 quarters
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You try!Convert 38.42 cm to inches
1. Write given as fraction2. Find the conversion factors3. Set-up the equation4. Cancel the units5. Do the math
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You try! AnswerConvert 38.42 cm to inches
38.42 cm
1•
1 in2.54 cm
=15.13 in
Step 1 Write given as fraction Step 2 Find conversion factorStep 3 Set-up equationStep 4 Cancel the unitsStep 5 Do the math
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Example 2 Convert 570 mm to cm
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Example 3 – multi-stepConvert 3 days to minutes
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Example 4 – Multi-steps
Convert 65 miles per hour to feet per minute◦Hint: per means division
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Example 5
A mechanic is working on two engines. One is a 5.4L engine while the other is a 350 cubic inch engine. Which engine is bigger?
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Scenario – Who is faster?
Mr. Yandell is running at 5 miles per hour.
Mr. Ramsey is riding his bike at 12 feet per second.
Who is faster?
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Who is faster Answer
The most common unit of speed is miles per hour so I will convert Mr. Ramsey
miles
hour12 ft
sec
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Conversion Factors1 foot = 12 inches 1 mile = 5280 feet 1 minute = 60 seconds1 hour = 60 minutes
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Set-up
Does the order of the terms matter?
12 ft
1sec•• •
60sec
1min
60min
1hr
1mile
5280 ft
12 ft
1sec
1mile
5280 ft
60sec
1min
60min
1hr• •
•
•
12 ft
1sec
60min
1hr
1mile
5280 ft
60sec
1min• •
Can you write another ordering?
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Other Orderings
12 ft
1sec60sec
1min
60min
1hr
1mile
5280 ft• • •
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Why??The Commutative Property of
Multiplication (AzCCRS 3.OA.B.5)
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Winner!!
Mr. Yandell 5 mph
Mr. Ramsey 8.18 mph
Mr. Ramsey is the winner!
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1314
4837
23
2118
12 Word Summary Closure
In 12 words or less, summarize the most
important aspects from today's lesson.