1. Multi-Step Unit Conversion Word Problems 1

2. Warm Up OBJECTIVE: SWBAT solve multi-step unit conversion word problems using a calculator. They will also make conjectures and seek to understand the approaches of others. Agenda 2 Use your knowledge of how to convert units and your calculator to make these conversions. Round answers to the nearest tenth. 1.) 1.5 miles = ____ kilometers 2.) 365 kilometers = _______ miles Note: 1.6 km ≈ 1 mi and 1 gallon ≈ 3.8 Liters Note: 1.6 km ≈ 1 mi and 1 gallon ≈ 3.8 Liters 3.) 4.25 gallon = _____ liters 4.) 35 liters = ____ gallons = x 1.5 Click for how to solve Warm-Up #1 Click for how to solve Warm-Up #1 Hint for how to solve #1 click

3. Warm-Up Review 3 Agenda x 1.5 1.) 1.5 miles = ____ kilometers x 1.5 Put into the calculator 1.6 x 1.5 then round to the nearest tenth. No rounding necessary. 2.4 Click for: Warm-Up Problem #2 Click for: Warm-Up Problem #2 = Click to go back to the Warm-Up Click to go back to the Warm-Up

4. Warm-Up Review 4 Agenda x 228.1 x ? Put into the calculator 365 ÷ 1.6 then round to the nearest tenth. Click for: Warm-Up Problem #3 Click for: Warm-Up Problem #3 2.) 365 kilometers = _______ miles 228.1 Note: 1.6 km ≈ 1 mi and 1 gallon ≈ 3.8 Liters Note: 1.6 km ≈ 1 mi and 1 gallon ≈ 3.8 Liters x 228.1 To find the factor you need to divide 365 ÷ 1.6 228.1 = Click to go back to the Warm-Up Click to go back to the Warm-Up To round look at the value in the hundredths, if it’s 5 or more round up. 4 or less then it stays the same. 228.125 becomes 228.1

5. Warm-Up Review 5 Agenda x ? x 4.25 Put into the calculator 3.8 x 4.25 then round to the nearest tenth. Click for: Warm-Up Problem #4 Click for: Warm-Up Problem #4 Note: 1.6 km ≈ 1 mi and 1 gallon ≈ 3.8 Liters Note: 1.6 km ≈ 1 mi and 1 gallon ≈ 3.8 Liters x 4.25 16.2 = 3.) 4.25 gallon = _____ liters 16.2 Click to go back to the Warm-Up Click to go back to the Warm-Up To round look at the value in the hundredths, if it’s 5 or more round up. 4 or less then it stays the same. 16.15 becomes 16.2

6. Warm-Up Review 6 Agenda x ? x 9.2 Put into the calculator 35 ÷ 3.8 then round to the nearest tenth. To round look at the value in the hundredths, if it’s 5 or more round up. 4 or less then it stays the same. 9.2105… becomes 9.2 Click to Move on to the Lesson Click to Move on to the Lesson Note: 1.6 km ≈ 1 mi and 1 gallon ≈ 3.8 Liters Note: 1.6 km ≈ 1 mi and 1 gallon ≈ 3.8 Liters x 9.2 9.2 = 4.) 35 liters= ____ gallons 9.2 To find the factor you need to divide 35 ÷ 3.8 Click to go back to the Warm-Up Click to go back to the Warm-Up

7. Launch The Griffin Family is taking a road trip across the country. On Day 2 of their trip they are going to travel from Buffalo, New York to Detroit, Michigan. Agenda 7

8. Launch On Day 2 of their trip they are going to travel from Buffalo, New York to Detroit, Michigan. CANADA Agenda 8

9. Launch They have two possible routes to go from Buffalo to Detroit. The Northern Route takes them through Canada. The Southern Route stays in the U.S. CANADA The Northern Route The Southern Route Agenda 9

10. Launch 10 Agenda Canada has a different currency, the Canadian dollar, and uses the metric system for measurements. The Northern Route 412 kilometers (km) Speed limit is 100 kilometers per hour The Southern Route 362 miles (mi) Speed limit is 55 miles per hour The Northern Route The Southern Route CANADA

11. Task 1) Find which route is longer by comparing both distances using the same unit of measure. Task 2) Find out how much time it will take to travel each route if the Griffins drive the speed limit the entire length. The Northern Route 412 kilometers (km) Speed limit is 100 kilometers per hour The Southern Route 362 miles (mi) Speed limit is 55 miles per hour The Northern Route The Southern Route CANADA 1 mile = 1.6 kilometers Explore 11 Agenda

12. Task 3) Find out how much it will cost to fill a 15 gallon tank once for each route. The Northern Route Average price of gas in the area is $1.26 Canadian dollars per liter. The Southern Route Average price of gas in the area is $3.48 per gallon Task 4) Answer: Which route would you recommend that the Griffins take? Provide evidence for your opinion. The Northern Route The Southern Route CANADA $1 US ≈ $1.25 Canadian 1 gallon = 3.8 Liters Explore 12 Agenda

13. Explore 13 Agenda Task 1) Find which route is longer by comparing both distances using the same unit of measure. Task 1) Find which route is longer by comparing both distances using the same unit of measure. Task 2) Find out how much time it will take to travel each route if the Griffins drive the speed limit the entire length. Task 3) Find out how much it will cost to fill a 15 gallon tank once for each route. Task 4) Answer: Which route would you recommend that the Griffins take? Provide evidence for your opinion. You will have 20 minutes to work on these tasks with your group. Be prepared to present your answers.

14. Summary 14 Agenda Task 1) Find which route is the longer by comparing both distances using the same unit of measure. Task 1) Find which route is the longer by comparing both distances using the same unit of measure. The Northern Route 412 kilometers (km) The Southern Route 362 miles (mi) Let’s change the kilometers to miles. 1 mi = 1.6 km x257.5 Answer: The Southern Route is longer.

15. Summary 15 Agenda Task 2) Find out how much time it will take to travel each route if the Griffins drive the speed limit the entire length. The Northern Route 412 kilometers (km) Speed limit is 100 kilometers per hour The Southern Route 362 miles (mi) Speed limit is 55 miles per hour 412 km ÷ 100 = 4.12 hrs362 mi ÷ 55 = 6.6 hrs

16. Summary 16 Agenda Task 3) Find out how much it will cost to fill a 15 gallon tank once for each route. Let’s calculate the cost for the Southern Route first. The Southern Route: The price of gas in the area is $3.48 per gallon. The tank of the car holds 15 gallons of gas. Gas Tank $3.48$3.48$3.48$3.48$3.48 $3.48 $3.48$3.48$3.48$3.48 $3.48 $3.48$3.48$3.48$3.48 15 gallons x $3.48 per gallon = $52.20

17. Summary 17 Agenda Task 3) Find out how much it will cost to fill a 15 gallon tank once for each route. Now, let’s calculate the cost for the Northern Route. The Northern Route The price of gas in the area is $1.26 Canadian dollars per liter. The tank of the car holds 15 gallons of gas. Gas Tank The problem here is that we have the same 15 gallon tank in the same car but gas isn’t sold in gallons, it’s sold in liters. ? How many liters is 15 gallons?

18. Summary 18 Agenda Task 3) Find out how much it will cost to fill a 15 gallon tank once for each route. Let’s convert 15 gallons into liters. x15 x 15 The Northern Route The price of gas in the area is $1.26 Canadian dollars per liter. 57 Now how much does 57 Liters cost in Canadian dollars? 1 gallon ≈ 3.8 liters

19. Summary 19 Agenda Task 3) Find out how much it will cost to fill a 15 gallon tank once for each route. The Northern Route The price of gas in the area is $1.26 Canadian dollars per liter. Gas Tank Now that we know the amount of gas in liters we can figure out the cost. 57 liters of gas 57 liters x $1.26 CAN per liter = $71.82 CAD Now there’s a new problem. Do you know what it is? The cost is in Canadian dollars. We need to convert it to American dollars.

20. Summary 20 Agenda Task 3) Find out how much it will cost to fill a 15 gallon tank once for each route. Let’s calculate how much $71.82 Canadian is in US dollars. x57.46 x 57.46 $57.46 Filling 15 gallons (or 57 Liters) in Canada will cost $57.46. The Northern Route The price of gas in the area is $1.26 Canadian dollars per liter. $1 US ≈ $1.25 Canadian

21. Summary 21 Agenda Task 3) Find out how much it will cost to fill a 15 gallon tank once for each route. Let’s review our calculations. The Southern Route 1. We multiplied 15 gallons x $3.48 and got a cost of $52.20. Average price of gas in the area is $3.48 per gallon. The Northern Route 1. We converted 15 gallons into liters and found that the tank holds 57 liters. Average price of gas in the area is $1.26 Canadian dollars per liter. 2. We multiplied 57 liters x $1.26 CAD and got a cost of $71.82 CAD 3. We converted $71.82 CAD into American dollars and got $57.46 USD. So now we can clearly see that the Northern route will cost more in gas.

22. Summary 22 Agenda Task 4) Answer: Which route would you recommend that the Griffins take? Provide evidence for your opinion. How did you answer this question and why? The Southern Route is a longer distance. The Southern Route takes longer to drive. But the gas is cheaper on the Southern Route. Which route would you recommend? Go to additional problem: Measuring with Smoots Go to additional problem: Measuring with Smoots Go to Exit Ticket problem.

23. Additional Problem 23 Agenda The Massachusetts Institute of Technology or MIT is a famous university in Cambridge, Massachusetts just on the other side of the Charles River from Boston. It is considered one of the best colleges in the country for the study of science, engineering, and technology.

24. Additional Problem 24 Agenda There is a history at the school of students performing pranks or hacks during the night that publicly and dramatically display the cleverness of the students. One very famous prank was carried out in October of 1958 at the Harvard Bridge, which connects the school in Cambridge to Boston.

25. Practice 25 Agenda Several students had their friend, Oliver Smoot, lay down at one end of the bridge while they marked his height in paint on the sidewalk and measured the entire length of the bridge in a unit of length they created and called the “Smoot.” One Smoot is the height of Oliver Smoot.

26. Practice 26 Agenda They declared that the Harvard Bridge is 364 Smoots long. You will answer some questions about Smoots.

27. Practice 27 Agenda a)If the Harvard Bridge is 620 meters long or 364 Smoots, how many meters is one Smoot? b)What operation did you use to answer part a and why? c)How tall is Oliver Smoot in meters? How tall is he in feet and inches (1 m ≈ 3.3 ft)? d)Is a Smoot bigger or smaller than your height? If we measured the same bridge with units named for your height, would there be more or less of your units. Explain.

28. Practice 28 Agenda e)Here are some other bridges that connect Boston and Cambridge near the Harvard Bridge. How long is each bridge in Smoots? BridgeLength in Standard Units Length in Smoots Longfellow Bridge650 meters Anderson Foot Bridge230 feet Eliot Bridge100 yards Leonard P. Zakim Bunker Hill Memorial Bridge 18,000 inches f)List the bridges in order from longest to shortest length.

29. Practice - Answers 29 Agenda a)If the Harvard Bridge is 620 meters long or 364 Smoots, how many meters is one Smoot? b)What operation did you use to answer part a and why? c)How tall is Oliver Smoot in meters? How tall is he in feet and inches? d)Is a Smoot bigger or smaller than your height? If we measured the same bridge with units named for your height, would there be more or less of your units? 1.7 meters division 1.7 meters 5.6 feet = 5 ft 7 in If you are shorter than 5 ft 7 in then there would be more of your units. Fewer if you are taller.

30. Practice - Answers 30 Agenda e)Here are some other bridges that connect Boston and Cambridge near the Harvard Bridge. How long is each bridge in Smoots? BridgeLength in Standard Units Length in Smoots Longfellow Bridge650 meters Anderson Foot Bridge230 feet Eliot Bridge100 yards Leonard P. Zakim Bunker Hill Memorial Bridge 18,000 inches f) List the bridges in order from longest to shortest length. 382.4 41.6 53.8 260.1 Longfellow Bridge, Zakim Bridge, Eliot Bridge, Anderson Foot Bridge

31. Assessment – Exit Ticket 31 Agenda Mrs. S is pregnant with twins. At the latest appointment the doctor estimated that Baby A weighs 35 ounces and Baby B weighs 37 ounces. How many total pounds of baby weight is Mrs. S carrying? 1.Multiply 35 oz by 16, then multiply 37 oz by 16, then add the answers together. 2.Add 35 oz and 37 oz, then multiply the answer by 16 3.Divide 35 oz by 16, then divide 37 oz by 16 then add the answers together. 4.Add 35 oz and 37 oz, then divide the answer by 16. Which of the above procedures will give you the answer: a) Only 1 b) Only 2c) Only 3 d) Only 4 e) 1 and 2f) 3 and 4 16 oz = 1 pound