Math Moment – Automotive Technologies HS.N-Q.A.1 Use units as a way to understand problems and to...
-
Upload
juliana-hopkins -
Category
Documents
-
view
217 -
download
6
Transcript of Math Moment – Automotive Technologies HS.N-Q.A.1 Use units as a way to understand problems and to...
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
You will need:Conversion sheetCalculatorNote-takerWorksheet
Automotive Technologies
Unit ConversionAKA Dimensional Analysis
BellworkThink about times you have
needed to convert from one unit to another.
List at least 1on your note-taker.
Share with your partner.
Possible AnswersConverting money
◦Dollars to quarters
Convert time◦Hours to minutes
Convert distance◦Feet to yards
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
TerminologyConversion factor – when two
quantities are equal, but have different units.◦Example: 1 minute = 60 seconds
Vocabulary Square1
2
Fill this in during the lesson
Benefits for YouConsistent problem solving
approachSimplified computationSame strategy is used in math,
chemistry and physics
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
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
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.
Example 1Convert $5 to quarters
Step 1: Write what you are given as a fraction
$5
1
Step 2: Find the conversion factor or factors
$1 = 4 quarters
Step 3: Set up the equation
$5
1•4 quarters
$1=
Step 4: Cancel the units
$5
1•4 quarters
$1=
Step 5 Do the math
$5
1•4 quarters
$1= 20 quarters
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
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
Example 2 Convert 570 mm to cm
Example 3 – multi-stepConvert 3 days to minutes
Example 4 – Multi-steps
Convert 65 miles per hour to feet per minute◦Hint: per means division
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?
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?
Who is faster Answer
The most common unit of speed is miles per hour so I will convert Mr. Ramsey
miles
hour12 ft
sec
Conversion Factors1 foot = 12 inches 1 mile = 5280 feet 1 minute = 60 seconds1 hour = 60 minutes
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?
Other Orderings
12 ft
1sec60sec
1min
60min
1hr
1mile
5280 ft• • •
Why??The Commutative Property of
Multiplication (AzCCRS 3.OA.B.5)
Winner!!
Mr. Yandell 5 mph
Mr. Ramsey 8.18 mph
Mr. Ramsey is the winner!
1314
4837
23
2118
12 Word Summary Closure
In 12 words or less, summarize the most
important aspects from today's lesson.