© 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
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© 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