7th grade pbl unit 1 (carowinds)

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7th grade pbl unit 1 (carowinds)

  1. 1. 7th Grade PBL Unit 1: Dream Day at Carowinds www.thatmathlady.com © 2013 Unit PBL Objectives • Students will gain experience in researching and planning a day-trip to a local amusement park, and work as a team (up to 4 teammates) to locate information to create a team presentation. • Students will use math skills acquired to successfully “rent” the best car available to the amusement park and back home. • Students will use math skills acquired to calculate mileage, fuel usage, and the price of the trip as well as admittance to the park (and a food allowance). Math Standards 7.RP.2 Recognize and represent proportional relationships between quantities. (Use a table or graph to show the relationship between the price of the rental car and its gas mileage.) 7.EE.3 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. (Determine the best price for gasoline, rental car, theme park admission, and food allowance.) 7.EE.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. (Create an equation that will determine the price of total trip including cost of car, cost of gasoline, admission to Carowinds.) Student Teammate Roles Map Expert (Cartographer) – Determines best route (time & mileage) from Druid Hills Academy to Carowinds. Car Rental Expert – Determines best car rental agency and vehicle for trip to Carowinds. Travel Expert – Analyzes rental cars’ mpg (miles per gallon), fuel tank size, and current price of gas. Lead Travel Agent – Finds the best price available for admission per person into Carowinds theme park, assists teammates in researching information, leads the team in compiling information in a final presentation. Unit Pacing Guide Day 1: Introduction and Student Role Selection: Student teams will be introduced to their new task (planning a day at Carowinds), will engage in a teambuilding activity, and will assign themselves roles. Day 2: Begin Research Day 3: Conclude Research Day 4: Team Meeting: Teams will meet to finalize their research findings and ensure their project meets the requirements on the rubric. Day 5: Team Presentations (Portfolio Artifact #1) Student Teammate Role: Map Expert (Cartographer)
  2. 2. 7th Grade PBL Unit 1: Dream Day at Carowinds www.thatmathlady.com © 2013 A cartographer is a person who specializes in making maps. The word may derive from the word cartography, the art and process of making maps. Goal: Your main goal, as the map expert, is to find the best route from Druid Hills Academy to Carowinds. You will create a chart (like the one below) to display at least 3 various routes, the mileage for one-way travel, and estimated time of travel. You will also be required to calculate the estimated miles per minute. (Keep in mind a higher mile/min ratio may mean more freeway driving and less stop-and-go, which is ultimately ideal to save on gasoline.) Secondly, you are required, with your team’s assistance, to determine the best route for your trip with mathematical reasons to support your choice. Your sub goals are the following: share your research with your team, help your teammates accomplish their goals, and assist the Lead Travel Agent in your group display all of your information in a presentation format. Your teacher suggests you use the following website sources to help you accomplish your main goal: – Google Maps (http://maps.google.com/) – Mapquest (http://www.mapquest.com/) – Bing Maps (http://www.bing.com/maps/) – Yahoo Maps (http://maps.yahoo.com/) Sample Chart: Travel Options from Druid Hills Academy to UNC Charlotte Route Miles (One-way) Estimated Time (One- way) Estimated Miles per Minute Source Graham St./I- 85/Mallard Creek 9.8 miles 15 minutes 0.65 mile/min Google Maps N. Tryon St./Old Concord Rd. 8.2 miles 16 minutes 0.51 mile/min Google Maps Graham St./I- 85/University City Blvd. 7.7 miles 13 minutes 0.59 mile/min Bing Maps N. Tryon St./University City Blvd. 8.3 miles 16 minutes 0.52 mile/min Yahoo Maps Use these addresses in your research: Druid Hills: 2801 Lucena St., Charlotte, NC 28206 Carowinds: 14523 Carowinds Blvd., Charlotte, NC 28273
  3. 3. 7th Grade PBL Unit 1: Dream Day at Carowinds www.thatmathlady.com © 2013 Student Teammate Role: Car Rental Expert Goal: The Car Rental Expert’s main goal is “renting a vehicle” from a well-known, yet local, car rental company. You must consider the price of the vehicle for a one-day rental, the fuel efficiency of that vehicle (highway and city), and passenger capacity (4 persons). Secondly, you and the Travel Expert will work together to write an equation to determine the best price given the multiple variables and then use your formula to determine the best vehicle to rent. Your sub goals include the following: share your research with your team, help your teammates accomplish their goals, and assist the Lead Travel Agent in your group display all of your information in a presentation format. Considerations: Rental cost, vehicle’s fuel efficiency (miles per gallon), rental car pickup location (within 5 miles of Druid Hills’s zip code). Your teacher suggests you use the following website sources to help you accomplish your main goal: – Enterprise (http://www.enterprise.com) – Kayak (http://www.kayak.com/cars) – Hertz (http://www.hertz.com) – Cars.com (http://www.cars.com) This may be used to locate car mpg. While researching vehicles for rental, look up one day rentals. Pickup and rental dates and times should reflect realistic times (i.e. between 7 AM and 8 PM) and span no longer than a 24-hour period. For example, if you rent a car at 10 AM on Monday, Sept. 9 th , then the car must be returned by 10 AM on Tuesday, Sept. 10 th . Sample Equation: Car Cost = Rental Price + [(Trip Miles/Car MPG)(Price of Gas/Gallon)] Items to include in your team’s presentation: – Car make/model that your team has chosen to rent – “Rental” information (date/time of pickup and drop off) – Location of rental car company – Equation – Use of your equation to determine the total cost of the rental car and travel
  4. 4. 7th Grade PBL Unit 1: Dream Day at Carowinds www.thatmathlady.com © 2013 Student Teammate Role: Travel Expert Goal: The Travel Expert must analyze the fuel efficiency of the vehicle that has been rented and estimate the amount of gas that will be needed to drive round-trip from Druid Hills to Carowinds. Then, the Travel Expert will find the best prices for gasoline in the Charlotte area and report his or her findings. Secondly, you and the Car Rental Expert will work together to write an equation to determine the best price given the multiple variables and then use your formula to determine the best vehicle to rent. Your sub goals include the following: share your research with your team, help your teammates accomplish their goals, and assist the Lead Travel Agent in your group display all of your information in a presentation format. Considerations: The vehicle’s mpg (miles per gallon), fuel tank size, and current price of gas at locations on your route. NOTE: Gas stations in your presentation MUST be located along the route your team decided to take. Your teacher suggests you use the following website sources to help you accomplish your main goal: – GasBuddy (http://www.gasbuddy.com/) – AAA Fuel Price Finder (http://carolinas.aaa.com/Travel/triptiks/Pages/Fuel-Information.aspx) – Motor Trend (http://www.motortrend.com/new_cars/) Sample Equation: Car Cost = Rental Price + [(Trip Miles/Car MPG)(Price of Gas/Gallon)] Items to include in your team’s presentation: – Current price of gasoline at 3 locations along your team’s chosen route – Estimation of total cost of gasoline needed for your roundtrip journey – Equation – Use of your equation to determine the total cost of the rental car and travel
  5. 5. 7th Grade PBL Unit 1: Dream Day at Carowinds www.thatmathlady.com © 2013 Student Teammate Role: Lead Travel Agent Goal: The Lead Travel Agent is responsible for the following: researching admission costs to Carowinds (including searching deals that may reduce the cost), and lead the team in compiling all of the information from this team project into a presentation format (see rubric for details). Your sub goals include the following: share your research with your team and help your teammates accomplish their goals. Considerations: You are seeking the most inexpensive admission to the park for you and your teammates. Your teacher suggests you use the following website sources to help you accomplish your main goal: – Carowinds (https://www.carowinds.com/) – AAA Carolinas (http://carolinas.aaa.com/Discounts/Pages/Find-Discounts.aspx) Please refer to the rubric to ensure your team meets all of the project requirements for Dream Day at Carowinds.
  6. 6. 7th Grade PBL Unit 1: Dream Day at Carowinds www.thatmathlady.com © 2013 Team Project Rubric Dream Day at Carowinds Project Rubric 5 (Excellent) 4 (Satisfactory) 3 (Unsatisfactory) 2 (Incomplete) Criteria Math Content Knowledge Students demonstrate ability to comprehend and analyze math standards by including required charts, equations, and use of the equation to formulate expenses; students include explanations and elaboration (more than required). Students demonstrate basic understanding of math standards via inclusion of required charts and equations (and use of equations in planning their trip). Students demonstrate adequate understanding of 1-2 of the three math standards. (Charts and equations may contain 1-2 math errors.) Students demonstrate a lack of understanding of the math standards, either by excluding charts/equations or using them incorrectly to determine expenses. Organization of Information Students present information in logical, interesting sequence which audience can follow. A total cost of a Dream Day at Carowinds is given at the conclusion of the presentation. Students present information in logical sequence which audience can follow. Audience has difficulty following presentation because information lacks flow and sequence. Audience cannot understand presentation because there is no sequence of information. 21 st Century Presentation Students use one of the technological formats to present information and submit the team presentation 100% digitally (paperless). Students use classroom supplies to present information and takes pictures to submit a digital copy of their work. Students use classroom supplies (posters, coloring supplies, etc.) to present project information. No presentation of information is given. Team Communication All teammates put forth extraordinary effort to work interdependently, as well as independently, to solve math problems and gather information; team communicates as necessary with teacher regarding team needs. Teammates collaborate successfully to create a complete presentation. Most of the teammates collaborate successfully and put forth an effort toward a complete presentation. Teammates do not communicate with each other or with the teacher. Acceptable Presentation Formats Microsoft PowerPoint Microsoft Word (Pdf) Prezi.com Slideshare.net Digital video/photo You may submit your presentation to your teacher’s e-mail address, via Edmodo, Google Docs, or to your teacher’s Dropbox account.

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