MAP4CQ - eLearning - Culminating Performance Task - Part 1 Name: Date: Last week, a tornado destroyed several buildings in Brampton, including the school down the street. Luckily, your school is still perfectly intact, and we must accommodate the students who do not have a place to go to school. Several portables will be built for these students to use until their school is rebuilt. The school board has asked Ms. Sheffield's grade 12 college math class to help calculate the cost of building the portables. Let's get to work! The diagrams show the desired measurements for the portables. 9.8 m Front STTEEEE T e 0.85m 0.80m 2.05 mI ol 0.85m 0.80m You have also been given these additional details: - Each portable has 2 doors and 4 windows and can hold 30 students. - One gallon of paint will cover 400ft2. Only the inside walls will be painted. - Hardware is estimated at 5% and electricalis estimated at 10% of the total materials cost for each portable. Each portable will require 80 hours to build. You can return any materials you do not use. The portables must accommodate 20% more students than the population of your school. 1. The following table shows the items you should include in your cost estimate. 8 dpcdsb.elearningontario.ca G You have also been given these additional details: - Each portable has 2 doors and 4 windows and can hold 30 students. - One gallon of paint will cover 400/ t2. Only the inside walls will be painted. - Hardware is estimated at 5% and electrical is estimated at 10% of the total materials cost for each portable. Each portable will require 80 hours to build. You can return any materials you do not use. The portables must accommodate 20% more students than the population of your school. 1. The following table shows the items you should include in your cost estimate. Description Cost per Unit Quantity Total Cost Materials for walls, floor, and roof, in square feet $6.95/ft2 Paint (2 coats), in gallons $26.00/gal Doors $110.00 each Windows $90.00 each Subtotal Hardware 5% of materials cost Electrical 10% of materials cost Labour $30.00 per hour 2. Determine the number of portables required for your school if your school must accommodate 20% more students. Assume you have 1500 students in your school. 3. What is the total area of the portables, including the walls, floor, and roof in m?2? What is this measurement in ft2? 4. What is the total area of the inside walls? Why do you need to know this? 5. How many doors and windows will you need to buy? 6. Determine the total cost for the project. You will need to fill in the table from question #1 to calculate this. @& dpcdshb.elearningontario.ca 30f3 fte? a of the portables, including the walls, floor, and roof in m2? What is this measurement in 4. What is the total area of the inside walls? Why do you need to know this? 5. How many doors and windows will you need to buy? 6. Determine the total cost for the project. You will need to fill in the table from question #1 to calculate this. Category Level 1 Level 2 Level3 Leveld Knowledge and Understanding Perform area caleulations. Demonstrates imited understanding of area calculations. Demonstrates some understanding of area calculations. Demonstrates considerable understanding of area calculations. Demonstrates thorough understanding of area calculations Thinking Prepare a plan to solve the problem. Carry out the plan. Needs extensive assistance to begin organizing a plan and needs clearly laid out steps to follow. Needs some assistance to begin organizing a plan and needs some steps to follow. Needs minimal assistance to organize and implement an effective strategy. Needs no assistance to organize and implement an effective strategy. Communication Clear explanations and full justifications. Correct use of mathematical conventions and language. Does not clearly explain or justify solution. Uses mathematical language and algebra correctlyin some of the solution Explains and justifies solution somewhat. Uses mathematical language and algebra correctly throughout most of the solution. Explains and justifies solution fully. Uses mathematical language and algebra correctly throughout the solution. Explains, justifies, and shows insight into the complexities of the solution. Uses mathematical language and algebra correctly throughout the solution. Application * Recognize component shapes in figure and applies area formulas. Make connections with a real-world situation to estimate the total cost of a construction plan. Interprets the information ineffectively and has difficulty finding areas and a realistic cost estimate. Interprets the information somewhat effectively and has difficulty finding areas and arealistic cost estimate. Interprets the information with considerable effectiveness and has little difficulty finding areas and arealistic cost estimate. Interprets the information with a high degree of effectiveness and has no difficulty finding areas and a realistic cost estimate. & dpcdsb.elearningontario.ca