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!

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4837

23

2118

12 Word Summary Closure

In 12 words or less, summarize the most

important aspects from today's lesson.