1. 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

2. You will need: Conversion sheet Calculator Note-taker Worksheet

3. Automotive Technologies Unit Conversion AKA Dimensional Analysis

4. 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.

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

6. Math Check The math skill you will need to know to be successful today is multiplying fractions. Remember: 1. 1. =

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

8. Vocabulary Square 1 2 Fill this in during the lesson

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

10. 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

11. 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

12. 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 2. 1. 5. 3. 4.

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

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

15. Step 3: Set up the equation

16. Step 4: Cancel the units

17. Step 5 Do the math

18. You try! Convert 38.42 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

19. You try! Answer Convert 38.42 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

20. Example 2 Convert 570 mm to cm

21. Example 3 – multi-step Convert 3 days to minutes

22. Example 4 – Multi-steps Convert 65 miles per hour to feet per minute ◦Hint: per means division

23. 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?

24. 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?

25. Who is faster Answer The most common unit of speed is miles per hour so I will convert Mr. Ramsey

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

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

28. Other Orderings

29. Why?? The Commutative Property of Multiplication (AzCCRS 3.OA.B.5)

30. Winner!! Mr. Yandell 5 mph Mr. Ramsey 8.18 mph Mr. Ramsey is the winner!

31. 13 14 48 37 23 21 18 In 12 words or less, summarize the most important aspects from today's lesson.