Teaching On the Road. Tier 1 Tier 2 Tier 3. Skills: Students use a mileage map to solve problems about travel between select cities.

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1 Teaching On the Road Skills: Solving problems based on mileage data in a map Students use a mileage map to solve problems about travel between select cities. Tasks Tier 1 Tier 2 Tier 3 Use the Data: Talk about the features of the mileage map. Build interest by describing the possible destinations Kim s family may visit. For item 5, review rounding numbers to the nearest 100. You might work as a group on items 4 and 6. Write About It: Guide students as they formulate their own problems based on the map. Have them solve their problem before asking partners to exchange problems. Post the problems on an interactive bulletin board. Make a List: Consider having students work in pairs to choose, list, and compare driving routes. Tier 1 Below Level Use the Data: Talk about the features of the mileage map. If possible, compare it with maps from a road atlas. Encourage students to explain their thinking as they solve problems. For item 4, explain the meaning of miles per gallon. Use Time Zones: Display a time-zone map and review the four time zones in the continental United States. Ask questions, such as: If it is 4:00 p m in Los Angeles, what time is it in Denver? In Boston? In New Orleans? Have students work in pairs or small groups. Point out that there are different ways to arrive at the solution. Extend by finding the local time in each city on the map, compared to the current classroom time. Tier 2 On Level Tier 3 Above Level Use visual reasoning to gather data from a map. X X X Compute with and estimate whole numbers. X X X Compare and order whole numbers. Make an organized list to solve problems. X X X Compute with fractions, percentages, and decimals. X X Solve problems involving time zones. X X Apply situational problem-solving plans and strategies. X X X Getting Started See the tips below for introducing the lesson. Make copies of the student data sheet (page 14) and the appropriate leveled activity sheet for each group of learners (pages 15 17). Access prior knowledge by reviewing a map with students, as well as a road atlas and mileage table. Discuss typical highway driving speeds, automobile gas mileage rates, and gas prices. Talk about planning a long family car trip. X Use the Data: Have volunteers explain their solutions to the What if? questions. For question 3, clarify that 10% below a number is equivalent to 90% of that number. For question 5, challenge students to identify the extra information. Write About It: Post completed problems on an interactive bulletin board. Make an Itinerary: Point out that this is a task many families do when planning a trip. Define itinerary as a detailed plan for a trip. Discuss the features travelers seek in a trip itinerary. Help students determine typical highway speeds, gas mileage, and costs for gas, meals, and lodging, as well as kinds and lengths of stops. 13

2 Skills: Solving problems based on mileage data in a map On the Road: Data Sheet Our vast country offers travelers so much to see! Kim s family is going to see a lot of it this summer on a cross-country car trip. Her family will start from their home in San Francisco, California. They plan to visit many great cities in the United States. The map below shows driving distances between some cities. Road Mileage Between U.S. Cities 14

3 On the Road: Activity Sheet Use the Data The map shows driving distances in miles between cities. Use it to complete each statement. 1. It is miles from Denver to St. Louis. 2. It is 1,189 miles from to. 3. It is miles farther from Seattle to Salt Lake City than it is from Salt Lake City to Denver. 4. The family wants to tour the Lower East Side Tenement Museum in New York. Then they want to visit the Voodoo Museum in New Orleans. Then they want to see the Space Center in Houston. They will drive a total of miles from New York City to Houston, passing through New Orleans. 5. To the nearest 100 miles, the driving distance from to is about 1,100 miles. 6. Kim s family wants to see the Space Needle in Seattle. Then they want to hear the Tabernacle Choir sing in Salt Lake City. After that, they plan to visit the Arch in St. Louis. This long trip from San Francisco to St. Louis would cover miles. Write About It Use the map on the Data Sheet. On the back, write a fill-in-the-blank problem of your own. Make a List Drivers have a choice of routes. Using the map on the Data Sheet, list three different routes a family from St. Louis can follow to drive to Seattle, Washington. For each route, name the cities in the order that the family drives through them and the total mileage. Choice 1: Choice 2: Choice 3: Find the total mileage for each route. 7. Which is the shortest route? Which is the longest? 15

4 On the Road: Activity Sheet Use the Data Solve each problem. 1. What does the map show? What about the driving routes does it not show? To the nearest 100 miles, how far is it from San Francisco to Seattle, then to Denver? Suppose that Kim s family leaves New York City and stops for gas halfway between it and St. Louis. How far from St. Louis are they when they stop? The family car gets 30 miles per gallon. About how many gallons of gas would they need to get from Washington, D.C. to New Orleans? Kim s mother drives at an average speed of 60 miles per hour. At that rate, and without stopping, about how long would it take the family to drive from Phoenix back to San Francisco? Suppose the family car gets 30 miles per gallon and gas costs an average of $2 per gallon. To the nearest $10, what would it cost them to drive from Houston to New York? Use Time Zones Seattle, Denver, New Orleans, and Washington, D.C., are in different time zones. At noon in Seattle, it is 1:00 p.m. in Denver, 2:00 p.m. in New Orleans, and 3:00 p.m. in D.C.. Use these facts and the data below to solve problems Your family leaves Denver at 10:00 a.m. on a Tuesday headed for the nation s capital. Use the map to choose the shortest route. 44 Your average driving speed is 65 miles per hour. 44 You stop 3 times to sleep, each time for about 8 hours. 44 You stop 8 other times for about an hour each time. Hint: Make sure to find the total distance of the trip, the total time that it takes at 65 mph, and the total time you stopped On what day and at about what time do you reach Washington, D.C.? Show your solution on the back of this page.

5 On the Road: Activity Sheet Use the Data Use the map and any new data provided below to solve each problem. 1. Of all the possible routes from San Francisco to St. Louis, which is the shortest? Use the mileages and lengths of line segments on the map as guides. About how far would you estimate it is to drive from Houston directly to St. Louis? What if Kim s family drives from Seattle to Salt Lake City at an average speed that is 10% below the speed limit? If the speed limit were 60 miles per hour, how long would the drive take? Round to the nearest hour. What if the family drives from Salt Lake City to Denver and back, at a speed of 65 miles per hour each way? If they stop for 2.5 hours on each trip, how long will it take to go and return? Round to the nearest hour. What if gasoline costs $2.50 a gallon? If Kim s car holds 14 gallons and gets 25 miles to the gallon, about how much would Kim pay for gas to drive from Houston to San Francisco? Round to the nearest dollar. Write About It Use the map on the Data Sheet. Make up your own What if? question for classmates to solve. Write the answers on the back. 6. What if Make an Itinerary Using a U.S. road atlas, pick any two cities that are at least 1,500 miles apart. Plan any route you like between them. On separate paper, write an itinerary. Include: 44 distances and estimated driving speeds 44 daily start and end times 44 approximate number of miles driven and stops made per day 44 estimated costs of gas, food, and lodging Display your itinerary. Compare and contrast yours with friends itineraries. DAY 1 Distance we ll travel: Driving speed: Total drive time: Number of stops (where and how long?): Total stop time: Start time: End time: Food cost: Breakfast Lunch Dinner Gas cost: Hotel/lodging cost: Total costs: 17

6 Answer Key On the Road Tier 1, page 15: Use the Data: Houston to Phoenix , Washington, D.C. to New Orleans 6. 3,026; Write About It: Answers will vary; * Choice 1: St Louis, Denver, Salt Lake City, Seattle 2,216 miles; Choice 2: St Louis, Denver, Phoenix, San Francisco, Seattle 3,229 miles; Choice 3: St Louis, Phoenix, San Francisco, Seattle 3,066 miles. Tier 2, page 16: Use the Data: 1. It shows driving distances between cities. Sample answer: It doesn t show names of highways linking the cities. 2. 2, miles 4. about 36 gallons 5. about 12 ½ hours 6. $110; Use Time Zones: 7. about 6:00 a.m. on Friday 8. Sample solution: I divide the total driving distance by 65, round the answer, add sleeping hours and stopping hours, and then add 2 hours for the difference in time zone. Tier 3, page 17: Use the Data: 1. San Francisco to Phoenix to St. Louis 2. Answers should be in the range of 850 miles hours hours 5. $194; Write About It: Answers will vary; Make an Itinerary: Answers will vary. 78