1. Module 6 Project

Mathematics 20-2 Module 6 Project

Module 6 Project

 

This is a photo of people moving boxes to a moving truck.

Brand X Pictures/Thinkstock

This project will be completed in three parts throughout the module. Be sure to keep all of your work from the individual parts of the project, as you need to hand them in for assessment. You will also need to use the work from the three parts to create your final presentation at the end of Module 6.

 

You have been offered a job as a project manager for an information technology company in the United States. As part of the preparation for your move and your new job, there are several decisions that you have to make: information on these decisions will be presented throughout the module.

 

You will apply what you have learned about rates, scale factors, area, surface area, and volume to help you make these decisions. At the end of this process, you will have to give a presentation to your new employer that justifies your choices. Thus, it is important that you keep your research and calculations for each part of the project organized.

 

Part 1: Rates and Unit Rates (Lesson 3)
 

You will complete Part 1 as part of your assessment for Lesson 3. Answer the following questions. Make sure to save all of your work to your course folder.

  1. The new company that you will be working for as a project manager has offices in Phoenix, Arizona; Atlanta, Georgia; and Houston, Texas. Your first decision is to decide which location you would prefer.

  2. At your present job, your annual salary is $76 025 Cdn. The salary for your new job is $75 000 U.S. Does your new job provide an increase or a decrease in salary? Explain your reasoning. What other factors would you need to consider when comparing salaries? (3 marks)

  3. You need to move all your belongings to your new location. Your company has provided you with three options for your move:

    • Option A: renting a moving truck and towing your vehicle
    • Option B: hiring professional movers and driving your own vehicle
    • Option C: shipping your belongings in a storage container and driving your own vehicle

    For Option A, you would rent a moving truck through iHaul and tow your own vehicle. The following is a quote from iHaul moving company.

    This illustration shows the quote from the iHaul moving company for a 16 foot cube truck. The iHaul fee is $1.13/km. The truck has a fuel consumption rating of 23.5 L/100 km. The customer is responsible for paying for their fuel.

     

    For Option B, you would hire professional movers using the wePack company and drive your own vehicle. The following is an ad for wePack professional movers.

     

    This illustration shows the quote from the wePack moving company to move 6500 kg. The wePack fee by weight is $2.21/kg.

     

    The third option, Option C, would see you use a shipping container from uSHIP for your belongings, and then you would drive your vehicle to your new location. The following is a quote for uSHIP.

     

    This illustration shows the quote for a 16 foot container from uSHIP. The uSHIP fee is $1.96/km and includes a 30 day rental.

     

    All three options include taxes, insurance, and cross-border fees.

    1. Calculate the total cost of moving from your current location to your new location for each of the options. Note: For your calculations, use an average fuel price of $1.05/L. The fuel consumption rating for your personal vehicle is 7.9 L/100 km. (4 marks)

    2. Calculate and compare the total unit rate (cost per km) for each option. What factors influence the unit rates? (3 marks)

    3. What option is the best option for you and your company? Justify your decision. (1 mark)
Part 2: Scale Diagrams (Lesson 5)

This is a photo of a floor plan of a living room and a dining room.

iStockphoto/Thinkstock

 

This is Part 2 of 3 for your project. This activity is part of your assessment for Lesson 5. Be sure to save all of your work from Part 2 in your course folder. You will need to hand in all of this work along with additional components of the project at the end of the module.

 

As part of your move incentive, your new company will allow you to rent one of the company-owned houses at a reduced rate. You are given two houses to choose from: House 1 and House 2. Both houses are in the same neighbourhood and have two bedrooms, a double attached garage, and an in-ground swimming pool. The houses are not furnished, so you need to use your own furniture.

 

To help you make your decision, your company has sent you a scale diagram of the House 1 and House 2 floor plans. Go to Floor Plans. You need to print out each of the floor plans to complete this portion of your project.

  1. Determine the dimensions of each house and garage. Be sure to indicate both the diagram and actual dimensions. (2 marks)

  2. Find the square footage of each house. Include only living space (not the garage). Each house has a monthly rental cost of $1100. Find the cost per square foot for each house. (2 marks)

  3. Measure the dimensions of the pool in the diagram. Then calculate the actual dimensions of the pool. (2 marks)

  4. Determine the interior dimensions of the bedrooms and living rooms in both houses and the interior dimensions of the flex room in House 1. Indicate both the diagram and actual dimensions. (2 marks)

  5. Your main pieces of furniture consist of a couch; a love seat; an entertainment unit that contains your big-screen TV, stereo and speaker system; a king-sized bed; and a dresser. You plan on purchasing a dining table set once you get to your new location. The dimensions of your furniture are shown in the following table.

    Furniture

    Dimensions

    couch

    84 in by 42 in

    love seat

    60 in by 42 in

    entertainment unit

    96 in by 24 in

    king-sized bed

    84 in by 96 in

    dresser

    42 in by 30 in


    Use the scale to determine the dimensions of each piece of furniture that needs to be placed in your new house. (3 marks)

  6. Select a strategy to determine a good location for each piece of furniture in House 1 and in House 2. Keep in mind that your couch needs to be at least 9 ft away from your entertainment unit for an optimal viewing and listening experience. Add the five pieces of furniture to the scale diagrams for House 1 and House 2. (2 marks)
Part 3: Best Buy and Volume (Lesson 8)

This is a photo of a boy holding a cardboard box and looking at his parents and sister.

Photodisc/Thinkstock

 

This is the final section of your project for this module. You will need to refer to all of your work from Parts 1 and 2 as well as the questions in this section when you create your final presentation. You will submit all components of your project at the end of this section.

 

Best Buy
 

As you have seen, moving requires a lot of planning. Comparing the price of the many different things needed to help you move ensures that you are getting the best value for your dollar. Planning also helps to keep your moving costs under control.

 

One item that is essential for moving is boxes. Moving boxes come in many different sizes. While the individual cost of a moving box may not appear to be expensive, the total cost of moving boxes can be substantial once you take into consideration how many you need to pack up all your stuff.

 

Your local moving store has three sizes of moving boxes. The cost and dimensions of each box are shown.

 

This is an illustration of three moving boxes. The small moving box is 16 in by 12 in by 12 in and costs $1.70. The medium moving box is 18 in by 18 in by 16 in and costs $2.35. The large moving box is 18 in by 18 in by 24 in and costs $3.00.

  1. Determine the cost per cubic foot for each moving box. (3 marks)

  2. Which box is the best buy? Justify your answer. (2 marks)

  3. What else would you need to consider when purchasing moving boxes? (2 marks)
Volume
 

In Part 2 of the project, you were presented with two potential rental house choices. Your company had sent you a scale diagram of the floor plans for House 1 and House 2. Return to Floor Plans. Each house had a pool. Print the scale diagrams to complete the next section.

  1. The pool at House 1 has a volume of 2156 ft3. What is the depth of the pool at House 1? (3 marks)

  2. The pool at House 2 has a volume of 3920 ft3. What is the depth of the pool at House 2? (3 marks)
Final Project Presentation
 

For your final project task, you need to prepare a presentation to your employer that justifies your choices for your move. Your employer insists that you back up your decisions with calculations.

 

Be sure to include:

  • Where you will move: Which city and why?

  • Which moving option you will choose: Remember the employer wants to see your calculations and your reasons for choosing a particular option—you don’t have to choose the least expensive option if you have good reasons.

  • Which house you will choose: Be sure that you give your boss solid reasons for your choice.

Use the Module 6 Project Rubric to evaluate your presentation and reflect on the process you used. Make any changes you feel would make your work better. Submit your completed rubric with your project.

 

Project Assessment
 

Be sure to save all of your work in your course folder for all parts of this project. You will need to hand in all of this work along with additional components of the project at the end of the module.

 

You must put all project components together for your teacher. Hand in all of your project work in one package:

  • Part 1: questions 1 to 3
  • Part 2: questions 1 to 6
  • Part 3: questions 1 to 5
  • Part 3: Final Project Presentation and completed rubric
Project Mark Breakdown
 
Part 1

11 marks

Part 2

13 marks

Part 3

13 marks

Presentation

8 marks

Total Marks

45 marks