Book 11: Travel Project

Transcription

1 Math 21 Travel and Transportation Book 11: Travel Project Teacher Version Assessments and Answers Included

2 Year Overview: Earning and Spending Money Home Travel & Transportation Recreation and Wellness 1. Budget 2. Personal Banking 3. Interest 4. Consumer Credit 5. Major Purchases 6. Scale Drawings & Ratios 7. Area & Volume 8. Angles 9. Triangles 10. Slope & Elevation 11. Travel Project 12. Puzzles & Games 13. Understanding Statistics 14. Budgeting Recreation Topic Overview The Travel and Transportation theme will use the mathematical skills it takes to plan a trip. Students will explore map reading, budgeting, and the mathematics involved in exploring things that interest you while travelling. When planning a trip, you will consider transportation, lodging, entertainment, and meals. Outcomes Overlapping Outcomes M21.1 Extend and apply understanding of the preservation of equality by solving problems that involve the manipulation and application of formulae within home, money, recreation, and travel themes. Theme Specific Outcomes M21.7 Demonstrate and extend understanding of similarity and proportional reasoning related to scale factors, scale drawing, scale models, surface area, and volume. M21.11 Demonstrate understanding of the mathematics involved in an area of interest. M21.8 Demonstrate understanding of budgets. 2

3 Contents Topic Overview... 2 Outcomes... 2 Overlapping Outcomes... 2 Theme Specific Outcomes... 2 Glossary of Terms... 4 Let s Travel! Travel Project... 5 Check Your Skills Destination... 8 Where to Stay? Cultural Activities What to See and Do Location Where Things are Located Getting Around Ground Transportation Finalizing Budget Student Evaluation Learning Log Show What You Know Presentation Answers Check Your Skills

4 Glossary of Terms Direction The information about the way towards which an object moves or tends Distance Shortest length between two points 4

5 Let s Travel! Travel Project Do you remember your travel project task from Math 11? You can either choose to build on your existing itinerary and destination OR create a whole new trip to a different location. In this project, you will be creating a travel plan: focusing on the transportation you will need once you arrive at your destination, the activities and tours you will participate in, and reading maps to be able to navigate. You will be using some of the skills you learned in Math 11, as well as learning new ones. Your Task: 1. Destination: Select a destination of your choice: Your travel is limited to locations within the Western Hemisphere. Trip date: During the Easter holiday so you will not miss school. Budget: Will not exceed $ per person. Plan how you will present your travel itinerary and choices. Consider all parts of the trip using the outline of activities as listed below. Travel Considerations: 2. Getting around: What type of transportation will you use once you are at your destination? 3. Location: Where is your accommodation? How far is it from the things you want to see and do? 4. Cultural Activities: What are you interested in seeing and doing while you are on your holiday? How much will they cost? 5

6 Check Your Skills When we travel, we often need to use maps to help us find out where we are, where we are going, and the best way to get there. The thinking we use to read maps is almost the same as the thinking we use to read other graphs and charts. Definition of Distance The distance between two points is defined as the shortest length between them. Example of Distance Solved Example on Distance If objects are plotted on a grid and the line joining them is either vertical (up and down) or horizontal (side to side), you can use the grid to help you count the distance between them. In the example above, the distance between the two books = 20-5 = 15 units. 1. Find the distance between the two points A and B. Choices: A. 6 units B. 8 units C. 4 units D. 2 units 6

7 Definition of Direction Direction gives the information about the way towards which an object moves or tends. There are four principal directions: North, East, South, and West. Example of Direction The arrow mark in the figure indicates that the object is moving towards South. Solved Example on Direction 2. Jeff made a grid to show the location of the zoo to his uncle. Which of the following is a possible way to reach the zoo from the bakery? Choices: A. Move 5 units east and 3 units north B. Move 3 units east and 3 units south C. Move 2 units north and 3 units south D. Move 2 units east and 4 units south 7

8 14. 1 Destination Briefly outline the choice you made for your travel destination. This information will be important for your class presentation. You may re-use your information from Math 11 or create a new travel destination if you would like to explore another destination. Describe: Where are you going? In which country is it located? o Find a map that describes where you are going. Where is it in relation to where we live? Give the direction (N, E, S, W) and the number of kilometers it is from here. Why did you choose this destination? Dates of travel? o You are travelling during our Easter Vacation. Is Easter a holiday where you are travelling to? Were there any factors that played into your decision on where and when to go? Explain. 8

9 Example: Throughout this unit, you will see example boxes showing planning for a trip to Kaua i, one of the Hawaiian Islands. For this holiday, here is a map of the island: Figure 1 from This destination was chosen because it is supposed to be the most beautiful place on Earth. The weather is always warm, and there are lots of things to do and see, without being as crowded as the other Hawaiian Islands. Easter is a holiday in Kauai, because it is part of the United States of America. The flight for this example leaves the day before Easter holidays, and returns on the Monday afterwards. This will mean the traveller would need to miss 2 days of school. Changing the travel dates has saved approximately $400 in air fare. 9

10 Travel to Kaua i is by air and it is 3010 miles (4844 km) south west of Canada across the Pacific Ocean. The cost of the flight is $910.89/person, including taxes & additional fees. Flights: Departure Flights: Arrival 10

11 Where to Stay? Choose a place to stay at your destination. Where is it located? How much does it cost? Describe this accommodation and be sure to list its features. Example: The hotel chosen for our trip to Kaua i is the Aston Islander on the Beach in Kapa a, which is on the East Coast of Kaua i. It costs $111 per night including all taxes and fees. I chose this hotel because: Its score is 8.1/10 on Booking.com It is on the beach and has an oceanfront pool and hot tub, tennis court, and golf course nearby. There is free parking available. It is located in Kapa a, which is the shopping centre of Kauai. There is free wifi, refrigerator and microwave. There is a free continental breakfast. 11

12 14.2 Cultural Activities What to See and Do There are so many things to do while on vacation! Use the table below to outline 5 options for activities. Make sure all activities are school appropriate. You can use the activities that you brainstormed in Math 11 OR choose new ones. Example: Activities for a Holiday in Kaua i, Hawaii Activity and Description (including address/location) 1. Blue Dolphin Napali Coast Catamaran and Snorkling Tour Port Allen 2. Snorkling Equipment Rental from Snorkel Bob s Kapa a to snorkel at Lydgate Park and Poipu Beach Park. 3. ATV Guided Tour Kipu Ranch near Kalaheo 4. Fern Grotto and Wailua River Boat Tour cart.html?tickets=fern 5. Kilauea Lighthouse 6. Kaua I Farmers Markets Time Frame 5.5 Hrs Check-in 7:00 AM (Daily) Cost of Activity $137 to $148 1 week rental $43/week 3 hours Mon - Sat: 7:00am or 1:30pm Sun: 7:00am, 8:00am, 11:30am, or 1:30pm 90 minutes 9:30, 11:00, 2:00, or 3:30 departures 2 hours Tuesday to Saturday 10:00 am to 4:00pm, Mon Thurs different times $ for Single ATV; $125 for 4 passenger ATV $18.00 $5.00 Varies 12

13 Choose at LEAST one activity and/or restaurant for each day of your holiday. For each one, note what the activity is, the cost, how many hours it will take, and what time of day it is available. Note the address of the activity as well. 1. Activity and Description (including address/location) Time Frame Cost of Activity

14 5. Activity and Description Time Frame Cost of Activity

15 14.3 Location Where Things are Located In this section of your project, you are going to be plotting your activities onto a map of your travel destination so that you can decide what your ground transportation needs are. Are the activities you are going to do close to your hotel? Far away? Preplanning your activities can help you save time and money on your vacation. 1. Find and print a map of your travel destination that would include all of the areas where your chosen activities are. 2. Plot all of your activities onto the map, including what they are and what date you are hoping to do them. 3. Create your daily itinerary: Starting and ending at your hotel, how far do you need to travel each day? What order will you be doing your activities each day? Create a chart for your daily itinerary: Day Time of Day Activity Cost Location/ Distance from last activity 15

16 Example: 2. Snorkling: Hanalei Bay 5. Lighthouse 6. Farmer s Market 2. Snorkling: Lydgate Hotel 4. Fern Grotto Airport 3. ATV Tour 1. Catamaran 2. Snorkling: Poipu 16

17 Example: Day Time of Day Activity Cost Location/ Distance from last activity Friday, April 3 AM AM Rent Snorkel Equipment Snorkel Bob s in Kapaa Snorkeling: Lydgate Beach $43.00 Free 0 km (from hotel) ~ 8 km PM Kilaea Lighthouse $5.00 ~16 km AM Hotel Pool Free 0 km Saturday, April 4 11:00 12:00 Fern Grotto $18.00 ~5 km PM Shopping in Kapa a Varies ~5 km Sunday, April 5 AM Hotel Pool Free 0 km PM Shorkeling: Poipu Beach Free ~38 km Monday, April 6 7:00 AM Blue Dolphin Catamaran Tour $ ~50 km Tuesday, April 7 AM 2:00 Snorkeling Hanalei Bay Hanalei Farmer s Market Free Varies ~45 km ~2 km Wednesday, April 8 7:00 AM PM Kipu Ranch ATV Tour Snorkeling Poipu Beach $ ~38 km Free ~10 km 17

18 14.4 Getting Around Ground Transportation In some destinations, it is possible to walk, bus, or use the train or a taxi to get to your activities, while in other destinations you will need to rent a car. It is also possible to rent a car for part of your holiday and rely on other types of ground transportation for the rest. Travelling on busses or trains can add to your holiday experience, so it is a great idea to look into the types of transportation that are available to you on your holiday. 1. What type of public transportation (bus, train, taxi) is available at your destination? What is the cost? Is the cost per trip or per day? 2. What is the cost of a shuttle from the airport/bus terminal to your hotel? Is this a free service provided by the hotel? 3. How much would it cost to rent a car? Would you need a GPS rental? Would you need additional insurance? 1. If you currently own and register a car, find out if a package policy would cover damages to a rental car. How much would this package policy cost? 2. Compare your package policy cost to the cost of additional insurance. 4. Fill in the following chart with rental car options: Rental Company Type of car Costs 18

19 What type of ground transportation would be your best choice for your holiday? Describe your decision and your reasoning below. Example: 1. There is a bus service in Kaua I ency/busschedules/tabid/208/default.aspx The bus costs is $2.00 per trip, and most routes begin at 6:00 in the morning and run until 10:00 at night, passing through a bus stop about every hour. 2. There is no shuttle directly to the hotel and taking the public bus shuttle would require a bus change. 3. The trip to Kaua i will require a car rental, as buses don t run to the locations for the Kipu Ranch Tour or the Kalauea Lighthouse. a. A traveller would not need to rent a GPS unit on Kaua i, as there are many maps available. b. Because of the package policy owned in Saskatchewan, a traveller would not need extra insurance in Kaua i. A package policy costs approximately $15 per month, or $180 per year, while additional insurance for this one car rental is approximately $ for this visit. 4. Car Rental Options in Kaua i: Company Type of car Costs Honk, USA Ford Focus $33.40/day; $ total price Advantage Nissan Versa $25.50/day; $ total price Budget Ford Focus $33.43/day; $ total price - Although the daily rental rates are less at Advantage and are the same for Budget and Honk, Budget and Advantage both have lots of extra fees that they charge on their car rentals, so Honk is the better choice for a car rental in Kaua i. 19

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21 14.5 Finalizing Budget Using all of your thinking from your Travel Project about your destination, transportation, and activities you are going to do on your holiday, summarize your budget for your holiday away! Budget Item Cost Total Holiday Expense To book a vacation to Kaua I over Easter Break in 2015 it would cost: Item Comments Cost Flight 2 stops on the way to Kaua i $ stops on the way home Hotel Aston Islander on the Beach $111/night $ Car Rental Honk Ford Focus $ Activities Catamaran Tour, ATV Tour, Snorkeling, Fern $ Grotto Tour, Lighthouse Food Breakfasts are free Purchase groceries and store in hotel room s fridge $10/day Supper eat out every night $25/day $0 $110 $275 Total Fixed Costs $ WOOPS! Going to Hawaii for 11 nights is $ over the $ budget. Options are to either cut out some of the paid activities OR reduce the holiday to a 9 night vacation: - Cutting The ATV Tour and Catamaran Tour would reduce the cost to $ Cutting the number of nights to 9 would reduce the cost to about $ What would you do? 21

22 Student Evaluation Insufficient Evidence (IE) Developing (D) Growing (G) Proficient (P) Exceptional (E) Student has not demonstrated the criteria below. Student has rarely demonstrated the criteria below. Student has inconsistently demonstrated the criteria below. Student has consistently demonstrated the criteria below. Student has consistently demonstrated the criteria below. In addition they have shown their understanding in novel situations or at a higher level of thinking than what is expected by the criteria. Proficient Level Criteria IE D G P E M21.7 Demonstrate and extend understanding of similarity and proportional reasoning related to scale factors, scale drawing, scale models, surface area, and volume. [FM20.3] b. I can explain how scale factor is related to similarity, ratios, and proportionality. e. I can describe the relationship between scale factors, scale drawings, and maps. f. I can interpret directions and analyze locations using scale factors and scale drawings of maps. g. I can determine distances represented on maps (e.g. provincial road map, local street map, Web-based maps), using given scales. 22

23 Proficient Level Criteria IE D G P E Outcome: M21.11 Demonstrate understanding of the mathematics involved in an area of interest. [FM20.1] a. I can investigate and summarize tourist information around a location of interest (e.g., hours of operation, entry costs, transportation options, travel reviews, safety concerns). b. I can organize and create a presentation on a chosen location (e.g., pros and cons for visiting, travel brochure, video, guidebook). c. I can find and describe situations, experiences, or locations around the area of interest that are relevant to self, family, or community. d. I can compare social justice issues that are present in the location of choice to those present in your community or another community. e. I can find and explain cultural activities and/or views of mathematics related to the location of interest. f. I can identify and analyze cultural items related to the mathematics at the location of interest. g. Identify controversial issues or historical events that are or have occurred at the location of interest. h. I can analyze the influences that historically significant events have had on the current field of mathematics. ***Content for indicators d-h is not currently included in Book 11 Proficient Level Criteria IE D G P E M21.8 Demonstrate understanding of budgets. [WA20.6] h. I can plan, design, and prepare a budget to solve home, recreation, or travel problems using appropriate technologies (e.g., design or decorating websites, design or drawing software, spreadsheet). 23

24 Proficient Level Criteria IE D G P E M21.1 Extend and apply understanding of the preservation of equality by solving problems that involve the manipulation and application of formulae within home, money, recreation, and travel themes. [WA10.1 and WA20.1] b. I can describe, using examples, how a given formula is used in a home, money, recreation, and travel context. c. Create, solve, and verify the reasonableness of solutions to questions that involve the use of a formula. d. Analyze solutions to questions that involve formulae to verify the preservation of equality, correct if necessary, and explain the reasoning. e. I can solve, with or without the use of technology, questions that involve the application of a formula that: does not require manipulation does require manipulation. 24

25 Learning Log Date Starting Point Ending Point 25

26 Show What You Know Presentation Present a day by day trip journal of activities, locations, and transportation. Add all of your expenses for a grand total cost of your trip. Organize the information graphically and in a written format. Be prepared to present your travel itinerary. 26

27 Answers Check Your Skills 1. Correct Answer: A Solution: Step 1: The line joining the two points A and B is a horizontal linesegment. Step 2: The length of a horizontal line-segment on a coordinate plane equals the difference between the x - coordinates. Step 3: Point A is located at the ordered pair (2, 4) and point B is located at the ordered pair (8, 4). Step 4: So, the distance between the two points A and B = 8-2 = 6. [Difference between the x - coordinates.] Step 5: The distance between the two points A and B is 6 units. 2. Correct Answer: A Solution: Step 1: Observe the grid, starting from the bakery. Step 2: If Jeff and his uncle move 5 units east and 3 units north, they will be at the zoo. 27