© 21st Century Math Projects
Transcription
© 21st Century Math Projects
© 21st Century Math Projects Project Title: Dream House Standard Focus: Geometry & Spatial Sense, Measurement Time Range: 4-6 Days (Can be modified) Supplies: Basic classroom supplies. Can use computer lab for floor planner extension. Topics of Focus: - Area & Perimeter - Scale Benchmarks: 6.RP 3d. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities. Geometry 6.G 3. Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems. Ratios and Proportional Relationships 7.RP 3. Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. Geometry 7.G 1. Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. 7.G 2. Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. Geometry 7.G 6. Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. Geometric Measurement and Dimension GGMD Modeling with Geometry G-MG Ratios and Proportional Relationships Geometry Modeling with Geometry G-MG 4. Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of twodimensional objects. 1. Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).★ 3. Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).★ © 21st Century Math Projects Procedures: A.) Student will complete “Apartment Renovation” (p. 4-9) to familiarize themselves with architectural symbols, scale, area and perimeter calculations. Students may not make the connection that to find the area of the walls they will need to find the perimeter of the figure and use the ceiling height. Students will get to sketch their own with a predetermined scale for practice. The handout Architectural Symbols (p.4) can be used as reference for every assignment. B.) Students will complete “Design a Kitchen” (p. 10-13) in which they will measure scale drawings of two kitchens and determine if they meet the building codes. They will then practice sketching a kitchen that does meet the code. C.) Students will complete “New Home Builder” (p. 14-19) which will ask them to be an appraiser for a new home builder. They will analyze blue prints of four different homes to determine the square footage. They will use the square footage totals and the “Nearby Home Sales” handout (p. 15) to appraise the property and set a price. D.) Students will begin “Dream House”. Pages 20-24 can be used as a student packet or handed out individually. Students will also need to refer to Architecture Symbols (p.4) and Kitchen Code (p. 10) and Nearby Home Sales (p. 15). Here is a copy of the instructions for students. Step 1: RESEARCH Websites like http://www.floorplanner.com/ contain a lot of ideas that you may find useful for your project. Most home builders also provide blue prints of their designs online for you to research. Step 2: DETERMINE SCALE How big of a home do you plan to build? Create a scale for your design that is realistic and matches your goals. Step 3: BLUE PRINTS Once you have determined the size of your scale, you’ll need to sketch the Blue Prints. In this project you will design your dream home that follows these requirements and limitations: 1. You must use the Architectural Symbols provided in the handout. 2. The home must be either one or two floors. 3. The kitchen design must meet the building code. 4. The home must include at least one bedroom, a kitchen, a laundry room, a bathroom and closet. Everything else is up to you. 5. All lines in the design must be straight. Step 4: CALCULATE & APPRAISE Once you have your drawing complete, it is time to determine the total square footage of the home. Complete Square Foot Measurements & Community Appraisal. Use the Nearby Home Sales to set a price for the Base Sale Price of your newly designed home. Step 5: PRESENT IT Once you have something that you have completed and you are proud of, it’s time to share it with your class! © 21st Century Math Projects Architecture Symbols Use these symbols to decode and create blueprints. Door Sink Swinging Door Double Sink Sliding Door Range Window Refrigerator Toilet Dishwasher Bathtub Washer Shower Dryer Wall Stairs Divided Space (no Wall) © 21st Century Math Projects Apartment Renovation A real estate developer has purchased an abandoned downtown apartment complex. The plan is to renovate the building to make it an attractive, affordable living option. At this point, the building has been gutted to the point that new flooring and wall coverings will be necessary. Use the measurements in the diagram to determine the amount of supplies they will need for the spaces. MODEL A (Note: All ceilings in the building are 8 feet tall) Notes: All walls will be painted besides the Kitchen which will have cabinets and a splash guard (you should count the spaces of the appliances and cabinets into the square footage). All walls inside a closet will be painted. Each square on the grid represents 9 sqft. Flooring Walls Square Foot Square Foot Living Room Bedroom Bedroom Closet Dining Space Kitchen Bathroom Hall Closet Total Square Footage How could the real estate developer use these measurements? © 21st Century Math Projects MODEL B (Note: All ceilings in the building are 8 feet tall) 1. A family is looking for an apartment with 1800 square feet of living space. Living Room + Kitchen Does Model B fit their need? Master Bedroom Flooring Walls Square Foot Square Foot Master Bedroom Closet Dining Room 2. If the developer wants tile floor in the Bedroom dining room and bathroom and carpet Bedroom Closet in the rest of the house, how much of Bathroom each would be needed? Laundry Hall Closet Total Square Footage © 21st Century Math Projects MODEL C (Note: All ceilings in the building are 8 feet tall) FLOORING: The developer plans to tile the Kitchen, Bathroom and Dining Space. Everything else will be carpet. WALLS: The developer plans to wallpaper the Bathroom, Bedroom 3 and Kitchen. Everything else will be painted. Cross out the parts of the table that will not be needed. (Hint, each row should have two parts crossed out) Flooring Flooring Walls Walls Carpet Ft2 Tile Ft2 Paint Ft2 Wallpaper Ft2 Living Room Kitchen Dining Space Master Bedroom Master Bedroom Closet Bedroom 2 Bedroom 2 Closet Bedroom 3 Bedroom 3 Closet Bathroom Laundry Hall Closet Total Square Footage © 21st Century Math Projects The real estate developer has estimates for the cost of the materials and labor required in the table below. Cost per Square Foot Carpet Tile Paint Wallpaper $3.50/sqft $8.10/sqft $5.05/sqft $3.25/sqft 1. Estimate the cost for the real estate developer to renovate this apartment. 2. If the developer was able to purchase tile in bulk, they could reduce their cost to $7.70/sqft, how much would this reduce their overall costs? 3. The developer is considering not putting carpet or tile in the laundry room to save money. How much money would this save? 4. In the space below, write an advertisement the real estate developer could use to promote this apartment. What are its most important features? Use the data when it is appropriate. © 21st Century Math Projects MODEL D (Note: All ceilings in the building are 8 feet tall) The real estate developer has asked you to create Model D with the outline below. There must be at least 1 bedroom, 1 bathroom, a kitchen and a laundry room. The rest is up to you. Use the symbols from the chart to sketch your own design. Decide the type of flooring and wall covering to use and estimate the total cost of your renovation. Flooring Flooring Walls Walls Carpet Tile Paint Wallpaper $3.50/sqft $8.10/sqft $5.05/sqft $3.25/sqft Total Square Footage Total Cost of each Item Total Overall Cost © 21st Century Math Projects Design a Kitchen Every living space must have a kitchen. Kitchens are one of the more sophisticated parts of a living space due to the different requirements that are needed to receive a building permit. In this assignment, you will put on your building inspector hat, review the codes that must be followed and evaluate two kitchens to determine if they meet code. If they do not meet code, can you figure out a way to make them? You will put your skills to the test when you have to design your own kitchen. Kitchen Building Code 1. Any entry door should not interfere with the safe use of appliances. 2. Appliance doors should not interfere with each other. 3. The range, sink and refrigerator form a “Work Station Triangle”. The sum of the distances between these stations should not exceed 26 feet. There must be at least 4 feet between each work center. 4. The width of the walkway must be at least 3 feet. 5. There must be 18 inch counter spaces on each side of the sink. 6. There must be at least one counter space that is at least 3 feet long. 7. There must be at least one counter space next to the oven. 8. The dishwasher must be within 3 feet of the sink. 9. The refrigerator, range or the sink should not be immediately next to each other. 10. There must be a minimum length of 13 feet of total counter space. Door Double Sink Refrigerator Range Dishwasher Window © 21st Century Math Projects Kitchen A (the tops of cabinets and dishwashers are counter spaces) Inspector Notes: List the code violations including the code number and potential solutions. Refrigerator & Sink & Range Sink Approximate distance between… Range & Sink & Refrigerator Dishwasher the longest counter space Length of… the total amount of counter space: Width of… The building meets code the walkway The building does not meet code © 21st Century Math Projects Kitchen B (cabinets are counter spaces) Inspector Notes: List the code violations including the code number and potential solutions. Refrigerator & Sink & Range Sink Approximate distance between… Range & Sink & Refrigerator Dishwasher the longest counter space Length of… the total amount of counter space: Width of… The building meets code the walkway The building does not meet code © 21st Century Math Projects You Design Kitchen C (cabinets are counter spaces) Designer Notes: Describe your reasoning for placing the items in the way that you did. Refrigerator & Sink & Range Sink Approximate distance between… Range & Sink & Refrigerator Dishwasher the longest counter space Length of… the total amount of counter space: Width of… The building meets code the walkway The building does not meet code © 21st Century Math Projects New Home Builder Has apartment life become stale? Do you have a growing family and need more space? Does the idea of repairs on an existing home frustrate you? It’s time to build your own house and TMNT Homes would like to help. TMNT Homes offers a variety of floor plans that accommodate different lifestyles, space needs and price tags. We are currently building in four vibrant communities that each have their own unique flairs. You have been hired as a design consultant and appraiser for TMNT Homes. They have recently launched four new floor plans and are in the process of determining how large they actually are and pegging the market value for each community. You and a team have been assigned to analyze the floor plans to determine the total area of living space (in square feet) and use nearby home sales to set a price. Square Footage – What counts? The square footage of a home is one of the most important features when determine the value of the home. Although the laws for calculating square footage varies from state-to-state, there are some rules that are consistent across the board. Square footage is a measurement of the “living space”. This means that garages and staircases will not be included in the calculation. Base Sale Price The Base Sale Price of the home will include all the standard options in the home before a buyer would select any upgrades. For example, tile will be in the kitchen, bathrooms and laundry and the rest of the house will be carpeted. If a buyer would like hardwood floors, then they would have to upgrade. Setting a Base Sale Price allows a home builder to provide buyers with an appealing package that they can advertise. Each floor plan in this assignment is the Base Floor Plan with all standard features. To determine a Base Sale Price the square footage must be calculated and you will use the list of Nearby Home Sales to price the floor plan at a dollar amount you think will be realistic and maximize profits. It may seem odd at first, but the exact same home will likely sell for different prices in different communities. After square footage, the next most important aspect of a home’s price is its property value. The property value is the value of the land and the community around it. If a home is in a blossoming, vibrant community with easy access to the city, its property value will be higher than one that is in a part of town that is running down with inconvenient access to the city. In this assignment you will calculate the square footage of each of the four homes and use that measurement to set a price for each community. © 21st Century Math Projects Nearby Home Sales Use the list of home sales when estimating the base price for each model in the different communities. Bebop Village Square Feet Sale Price 64 First St. 2875 $310,000 31 Second St. 1880 $275,000 49 Third St. 1450 $240,000 73 Fourth St. 2410 $290,000 Krang Meadows Square Feet Sale Price 9800 Broad St. 1590 $165,000 7300 Center St. 2735 $260,000 7410 Main St. 2110 $205,000 1040 Town St. 2460 $235,000 Rocksteady Estates Square Feet Sale Price 4190 Blue Ave. 1780 $300,000 3184 Orange Blvd. 2195 $325,000 7312 Purple Rd. 2985 $395,000 8519 Red Way 1290 $255,000 Shredder Woods Square Feet Sale Price 11 Abbey Rd. 2505 $145,000 3200 Pennsylvania Ave. 1430 $105,000 71 Rockefeller Plaza 2025 $120,000 430 Wall St. 3180 $175,000 © 21st Century Math Projects The Leonardo Space Square Foot Great Room Master Bedroom Master Bedroom Closet Master Bathroom Kitchen Bedroom 2 Bedroom 2 Closet Bedroom 3 Bathroom Laundry Does not count in total square footage Garage Total Square Footage Given the nearby home sales, estimate the base price of the Leonardo in each of the developments. Bebop Village Krang Meadows Rocksteady Estates Shredder Woods Base Sale Price © 21st Century Math Projects The Raphael Space Square Foot Does not count in total square footage Garage Total Square Footage Bebop Village Given the nearby home sales, estimate the base price of the Raphael in each of the developments. Krang Meadows Rocksteady Estates Shredder Woods Base Sale Price © 21st Century Math Projects The Donatello First Floor Space Second Floor Square Foot Does not count in total square footage Space Square Foot Does not count in total square footage Garage Total Square Footage Given the nearby home sales, estimate the base price of the Donatello in each of the developments. Bebop Village Krang Meadows Rocksteady Estates Shredder Woods Base Sale Price © 21st Century Math Projects The Michelangelo First Floor Space Second Floor Square Foot Space Square Foot Does not count in total square footage Does not count in total square footage Garage Total Square Footage Given the nearby home sales, estimate the base price of the Michelangelo in each of the developments. Bebop Village Krang Meadows Rocksteady Estates Shredder Woods Base Sale Price © 21st Century Math Projects Dream House After years of ideas, the time is finally here to put your dream home onto paper. You have begun to work with a new home builder, but you have not been satisfied with the designs that you have seen so it’s time to take matters into your own hands. Step 1: RESEARCH Websites like http://www.floorplanner.com/ contain a lot of ideas that you may find useful for your project. Most home builders also provide blue prints of their designs online for you to research. Step 2: DETERMINE SCALE How big of a home do you plan to build? Create a Scale for your design that is realistic and matches your goals. Step 3: BLUE PRINTS Once you have determined the size of your scale, you’ll need to sketch the Blue Prints. In this project you will design your dream home that follows these requirements and limitations: 6. You must use the Architectural Symbols provided in the handout. 7. The home must be either one or two floors. 8. The kitchen design must meet the building code. 9. The home must include at least one bedroom, a kitchen, a laundry room, a bathroom and closet. Everything else is up to you. 10. All lines in the design must be straight. Step 4: CALCULATE & APPRAISE Once you have your drawing complete, it is time to determine the total square footage of the home. Complete Square Foot Measurements & Community Appraisal. Use the Nearby Home Sales to set a price for the Base Sale Price of your newly designed home. Step 5: PRESENT IT Once you have something that you have completed and you are proud of, it’s time to share it with your class! © 21st Century Math Projects Requirements Individual or team grades for the project will be broken into the following components: 400 pts 400 pts Research & Design scale was chosen ____/100 pts diagrams drawn to scale ____/300 pts Calculations square footage is correctly calculated the appraised value is appropriate when considering the nearby home sales 200 pts ____/300 pts ____/100 pts Presentation describe your home and why you chose it explain the geometric components of the design (i.e. what shapes are present?) expound on the design process (i.e. what was challenging? interesting?) presentation delivery & writing mechanics (i.e. content command, spelling) ____/50 pts ____/50 pts ____/50 pts ____/50 pts Total _____/1000 © 21st Century Math Projects Blue Prints © 21st Century Math Projects Blue Prints © 21st Century Math Projects Square Foot Measurements & Community Appraisals Use your custom blue prints to determine the square footage for your home and record the results in the table. Use the Nearby Home Sales to determine the Base Sale Price of the home in the different communities. First Floor Space Second Floor Square Foot Space Square Foot Does not count in total square footage Does not count in total square footage Garage Total Square Footage Given the nearby home sales, estimate the base price of your custom home in each of the developments. Bebop Village Krang Meadows Rocksteady Estates Shredder Woods Base Sale Price © 21st Century Math Projects Thank you for being my Math Friend! If you liked this 21st Century Math Project You might like others. (Click the logo) Math it Up. Boomdiggy. © 21st Century Math Projects Apartment Renovation A real estate developer has purchased an abandoned downtown apartment complex. The plan is to renovate the building to make it an attractive, affordable living option. At this point, the building has been gutted to the point that new flooring and wall coverings will be necessary. Use the measurements in the diagram to determine the amount of supplies they will need for the spaces. MODEL A (Note: All ceilings in the building are 8 feet tall) Notes: All walls will be painted besides the Kitchen which will have cabinets and a splash guard (you should count the spaces of the appliances and cabinets into the square footage). All walls inside a closet will be painted. Each square on the grid represents 9 sqft. Flooring Walls Square Foot Square Foot Living Room 180 these are approximations These are approx…. 45x8 = 360 Bedroom 243 456 Bedroom Closet 27 144 Dining Space 225 264 Kitchen 108 Bathroom 72 240 Hall Closet 9 72 Total Square Footage 864 sqft 1536 How could the real estate developer use these measurements? To order carpet and paint. © 21st Century Math Projects MODEL B (Note: All ceilings in the building are 8 feet tall) 1. A family is looking for an apartment Flooring Walls Square Foot Square Foot with 1800 square feet of living space. Living Room + Kitchen 656 approx…. Approx 544 Does Model B fit their need? Master Bedroom 160 384 Master Bedroom Closet 48 192 Dining Room 128 288 Bedroom 88 256 dining room and bathroom and carpet Bedroom Closet 8 64 in the rest of the house, how much of Bathroom 96 304 each would be needed? Laundry 24 144 Hall Closet 16 112 No, it is only 1224 of living space 2. If the developer wants tile floor in the They’d need 224 sqft of tile and 1000 sqft of carpet. Total Square Footage 1224 approx 2056 © 21st Century Math Projects MODEL C (Note: All ceilings in the building are 8 feet tall) FLOORING: The developer plans to tile the Kitchen, Bathroom and Dining Space. Everything else will be carpet. WALLS: The developer plans to wallpaper the Bathroom, Bedroom 3 and Kitchen. Everything else will be painted. Cross out the parts of the table that will not be needed. (Hint, each row should have two parts crossed out) Living Room Flooring Flooring Walls Walls Carpet Ft2 Tile Ft2 Paint Ft2 Wallpaper Ft2 41*1.5*8= 492 208*2.25 = 468 Kitchen 110.25 includes hall Dining Space 72 23*1.5*8=276 144 Master Bedroom 126 288 Master Bedroom Closet 31.5 180 Bedroom 2 121.5 312 Bedroom 2 Closet 13.5 84 Bedroom 3 112.5 Bedroom 3 Closet 4.5 300 48 63 Bathroom 228 Laundry 18 108 Hall Closet 13.5 84 Total Square Footage 783 245.25 1740 804 © 21st Century Math Projects The real estate developer has estimates for the cost of the materials and labor required in the table below. Cost per Square Foot 1. Carpet Tile Paint Wallpaper $3.50/sqft $8.10/sqft $5.05/sqft $3.25/sqft Estimate the cost for the real estate developer to renovate this apartment. Approximately `16,400.40 2. If the developer was able to purchase tile in bulk, they could reduce their cost to $7.70/sqft, how much would this reduce their overall costs? It would reduce the cost $110.0 3. The developer is considering not putting carpet or tile in the laundry room to save money. How much money would this save? 3.50*18 = $63 4. It would save $63. In the space below, write an advertisement the real estate developer could use to promote this apartment. What are its most important features? Use the data when it is appropriate. © 21st Century Math Projects MODEL D (Note: All ceilings in the building are 8 feet tall) The real estate developer has asked you to create Model D with the outline below. There must be at least 1 bedroom, 1 bathroom, a kitchen and a laundry room. The rest is up to you. Use the symbols from the chart to sketch your own design. Decide the type of flooring and wall covering to use and estimate the total cost of your renovation. Flooring Flooring Walls Walls Carpet Tile Paint Wallpaper $3.50/sqft $8.10/sqft $5.05/sqft $3.25/sqft Total Square Footage Total Cost of each Item Total Overall Cost © 21st Century Math Projects Design a Kitchen Every living space must have a kitchen. Kitchens are one of the more sophisticated parts of a living space due to the different requirements that are needed to receive a building permit. In this assignment, you will put on your building inspector hat, review the codes that must be followed and evaluate two kitchens to determine if they meet code. If they do not meet code, can you figure out a way to make them? You will put your skills to the test when you have to design your own kitchen. Kitchen Building Code 1. Any entry door should not interfere with the safe use of appliances. 2. Appliance doors should not interfere with each other. 3. The range, sink and refrigerator form a “Work Station Triangle”. The sum of the distances between these stations should not exceed 26 feet. There must be at least 4 feet between each work center. 4. The width of the walkway must be at least 3 feet. 5. There must be 18 inch counter spaces on each side of the sink. 6. There must be at least one counter space that is at least 3 feet long. 7. There must be at least one counter space next to the oven. 8. The dishwasher must be within 3 feet of the sink. 9. The refrigerator, range or the sink should not be immediately next to each other. 10. There must be a minimum length of 13 feet of total counter space. Door Double Sink Refrigerator Range Dishwasher Window © 21st Century Math Projects Kitchen A (the tops of cabinets and dishwashers are counter spaces) Inspector Notes: List the code violations including the code number and potential solutions. 9. Sink cannot be next to the stove/range. 5. There is not 18 inches of counter space on each side of the sink. 1. The entry door could interfere with the Dishwasher. Could move the stove/range to the cabinet on the right side and move the dishwasher to where the stove/range is. Also violates 3, 8 and 10. Sink & Range Refrigerator & 0 feet Sink Approximately 51 in Approximate distance between… Range & Refrigerator Length of… Sink & 36 inches Dishwasher Approximately 60 in the longest counter space Approximately 66 in the total amount of counter space: Approximately 144 inches the walkway Approximately 66 inches Width of… The building meets code The building does not meet code © 21st Century Math Projects Kitchen B (cabinets are counter spaces) Inspector Notes: List the code violations including the code number and potential solutions. 2. Dishwasher and range doors being across from each other would interfere. 6. There is not a counter space that is 3 feet (36 inches long) 10. There is not enough total counter space. The range could trade spaces with the cabinet to its right. Perhaps an island countertop could be added above the sink, dishwasher section. Also 3 and 4. Sink & Range Approximately 30 inches Refrigerator & Sink Approximately 30 in Approximate distance between… Range & Approximately 30 Refrigerator Length of… inches Sink & Dishwasher 0 inches the longest counter space Approximately 28 inches the total amount of counter space: Approximately 112 inches the walkway Approximately 30 inches Width of… The building meets code The building does not meet code © 21st Century Math Projects You Design Kitchen C (cabinets are counter spaces) Designer Notes: Describe your reasoning for placing the items in the way that you did. Refrigerator & Sink & Range Sink Approximate distance between… Range & Sink & Refrigerator Dishwasher the longest counter space Length of… the total amount of counter space: Width of… The building meets code the walkway The building does not meet code © 21st Century Math Projects New Home Builder Has apartment life become stale? Do you have a growing family and need more space? Does the idea of repairs on an existing home frustrate you? It’s time to build your own house and TMNT Homes would like to help. TMNT Homes offers a variety of floor plans that accommodate different lifestyles, space needs and price tags. We are currently building in four vibrant communities that each have their own unique flairs. You have been hired as a design consultant and appraiser for TMNT Homes. They have recently launched four new floor plans and are in the process of determining how large they actually are and pegging the market value for each community. You and a team have been assigned to analyze the floor plans to determine the total area of living space (in square feet) and use nearby home sales to set a price. Square Footage – What counts? The square footage of a home is one of the most important features when determine the value of the home. Although the laws for calculating square footage varies from state-to-state, there are some rules that are consistent across the board. Square footage is a measurement of the “living space”. This means that garages and staircases will not be included in the calculation. Base Sale Price The Base Sale Price of the home will include all the standard options in the home before a buyer would select any upgrades. For example, tile will be in the kitchen, bathrooms and laundry and the rest of the house will be carpeted. If a buyer would like hardwood floors, then they would have to upgrade. Setting a Base Sale Price allows a home builder to provide buyers with an appealing package that they can advertise. Each floor plan in this assignment is the Base Floor Plan with all standard features. To determine a Base Sale Price the square footage must be calculated and you will use the list of Nearby Home Sales to price the floor plan at a dollar amount you think will be realistic and maximize profits. It may seem odd at first, but the exact same home will likely sell for different prices in different communities. After square footage, the next most important aspect of a home’s price is its property value. The property value is the value of the land and the community around it. If a home is in a blossoming, vibrant community with easy access to the city, its property value will be higher than one that is in a part of town that is running down with inconvenient access to the city. In this assignment you will calculate the square footage of each of the four homes and use that measurement to set a price for each community. © 21st Century Math Projects Nearby Home Sales Use the list of home sales when estimating the base price for each model in the different communities. Bebop Village Square Feet Sale Price 64 First St. 2875 $310,000 31 Second St. 1880 $275,000 49 Third St. 1450 $240,000 73 Fourth St. 2410 $290,000 Krang Meadows Square Feet Sale Price 9800 Broad St. 1590 $165,000 7300 Center St. 2735 $260,000 7410 Main St. 2110 $205,000 1040 Town St. 2460 $235,000 Rocksteady Estates Square Feet Sale Price 4190 Blue Ave. 1780 $300,000 3184 Orange Blvd. 2195 $325,000 7312 Purple Rd. 2985 $395,000 8519 Red Way 1290 $255,000 Shredder Woods Square Feet Sale Price 11 Abbey Rd. 2505 $145,000 3200 Pennsylvania Ave. 1430 $105,000 71 Rockefeller Plaza 2025 $120,000 430 Wall St. 3180 $175,000 © 21st Century Math Projects The Leonardo Space Square Foot Great Room Approximations 360 432 Master Bedroom 81 Master Bedroom Closet Master Bathroom 162 Kitchen 270 Bedroom 2 162 22.5 Bedroom 2 Closet Bedroom 3 252 Bathroom 108 36 Laundry Does not count in total square footage 540 Garage Total Square Footage 1885.5 Bebop Village Base Sale Price ~275,000 Given the nearby home sales, estimate the base price of the Leonardo in each of the developments. Krang Meadows ~185,000 Rocksteady Estates ~306,000 Shredder Woods ~115,000 © 21st Century Math Projects The Raphael Space Square Foot Kitchen 180 Great Room 272 Master Bedroom 184 Master Bath 116 Walk-In Closet 100 Laundry 40 Dining Room 120 Bedroom 2 104 Bedroom 2 Closet 12 Bathroom 72 Den 120 Hallway 208 Does not count in total square footage Garage 324 Staircase 40 Total Square Footage ~1528 Bebop Village Base Sale Price ~245,000 Given the nearby home sales, estimate the base price of the Raphael in each of the developments. Krang Meadows ~165,000 Rocksteady Estates ~280,000 Shredder Woods ~107,500 © 21st Century Math Projects The Donatello First Floor Space Second Floor Square Foot Space Square Foot Mud Room 36 Master Bedroom 208 Study 26 Master Bath 96 Kitchen 160 Walk-In Closet 84 Dining 72 Bedroom 2 + Closet 120 Great Room + Hallway 364 Bedroom 3 + Closet 164 Bathroom 48 Laundry 32 Hall Closet 4 Game Room + Hall 272 Den 80 Bathroom 56 Does not count in total square footage Garage 300 Stairs 40 Does not count in total square footage 40 Stairs Total Square Footage Approx.. 1822 Given the nearby home sales, estimate the base price of the Donatello in each of the developments. Bebop Village Base Sale Price ~270,000 Krang Meadows ~190,000 Rocksteady Estates ~305,000 Shredder Woods ~115,000 © 21st Century Math Projects The Michelangelo First Floor Second Floor Square Foot Space Space Square Foot Den 156.25 Bedroom 2 + Closet 168.75 Living Room 187.5 Bedroom 3 + Closet 218.75 Dining Area 150 Bedroom 4 + Closet 187.5 Hallway 93.75 Bathroom 62.5 Great Room 418.75 Loft 256.25 Laundry 112.5 Kitchen 150 Bathroom 37.5 Master Bedroom + Closet/bath 412.5 Does not count in total square footage Does not count in total square footage Garage 500 Stairs 75 75 Stairs Total Square Footage Approx.. 2612 Given the nearby home sales, estimate the base price of the Michelangelo in each of the developments. Bebop Village Base Sale Price ~300,000 Krang Meadows ~250,000 Rocksteady Estates ~350,000 Shredder Woods ~150,000 © 21st Century Math Projects