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 sheet Calculator Note-taker Worksheet

Automotive Technologies Unit Conversion AKA Dimensional Analysis

Bellwork Think about times you have needed to convert from one unit to another. List at least 1 on your note-taker. Share with your partner.

Possible Answers Converting money ◦Dollars to quarters Convert time ◦Hours to minutes Convert distance ◦Feet to yards

Math Check The math skill you will need to know to be successful today is multiplying fractions. Remember: =

Terminology Conversion factor – when two quantities are equal, but have different units. ◦Example: 1 minute = 60 seconds

Vocabulary Square 1 2 Fill this in during the lesson

Benefits for You Consistent problem solving approach Simplified computation Same strategy is used in math, chemistry and physics

Steps 1. Write down what you are given as a fraction 2. Find the conversion factor or factors 3. Set up the equation 4. Cancel units – make sure the remaining units are what you want 5. Do the math

Learn the steps Take 60 seconds and learn the 5 steps 1. Write given as fraction 2. Find the conversion factors 3. Set up the equation 4. Cancel units 5. Do the math

Check the Steps Number 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

Example 1 Convert $5 to quarters Step 1: Write what you are given as a fraction

Step 2: Find the conversion factor or factors $1 = 4 quarters

Step 3: Set up the equation

Step 4: Cancel the units

Step 5 Do the math

You try! Convert cm to inches 1.Write given as fraction 2.Find the conversion factors 3.Set-up the equation 4.Cancel the units 5.Do the math

You try! Answer Convert cm to inches Step 1 Write given as fraction Step 2 Find conversion factor Step 3 Set-up equation Step 4 Cancel the units Step 5 Do the math

Example 2 Convert 570 mm to cm

Example 3 – multi-step Convert 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

Conversion Factors 1 foot = 12 inches 1 mile = 5280 feet 1 minute = 60 seconds 1 hour = 60 minutes

Set-up Does the order of the terms matter? Can you write another ordering?

Other Orderings

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!

In 12 words or less, summarize the most important aspects from today's lesson.