<p> Staedtler Mars Technico Pencil (780C) (in the drafting section – not in regular pencil section)</p><p>Staedtler Mars Plastic Erasers, 4/Pack or single</p><p>Staedtler Mars 2mm refill pack of lead (usually comes in 12)</p><p>Staedtler Mars lead sharpeners</p><p>Available at Office Depot, Staples, Office Max, possibly at art supply stores Architecture Project Table of Contents</p><p>Group Person #1 Person #2 Person #3 Act. Activity Cover page with title and group members Table of Contents page (completed) 1 Scale Rooms Scale Rooms scratch work with all 1 measurements 1HW Scale drawing of room at home 2 Apartment Size 2HW Home Measurements (in inches) 3 3D Home Model 4 Median Cost Per Square Foot 4HW Comparing Median Cost Per Square Foot 5 Isometric Drawing of Home 5HW Isometric Initials 6 Inspection Record (group) 6HW Inspection Record (individual) 6A Electrical Contractor 6B Lumber Estimate 6C Flooring Estimate 6D Energy Contractor 6E Glazing Contractor 7 Elevation Sorting/Architect's Record 7A Roofing Contractor 8 Final Project - Designed Home </p><p>Extra Items: Architecture 1 Apartment Size NAME:</p><p>Scale used</p><p>ROOM Length (in.) Width (in.) Perimeter (in.) Area (sq. in.) Living Room</p><p>Kitchen</p><p>Dining E</p><p>Room Z</p><p>Part 1 I</p><p>Bedroom S</p><p>Part 2 G</p><p>Bath N</p><p>I</p><p>Large W</p><p>Closet A</p><p>Hall Closet R D TOTAL </p><p>ROOM Length (ft.) Width (ft.) Perimeter (ft.) Area (sq. ft.) Living Room Kitchen Dining Room Part 1 Bedroom</p><p>Part 2</p><p>Bath E</p><p>Large Z</p><p>Closet I</p><p>S</p><p>Hall Closet L</p><p>A</p><p>TOTAL U</p><p>T</p><p>Length (ft.) Width (ft.) Perimeter (ft.) Area (sq. ft.) C Entire A Apartment</p><p>Does the sum of the areas of all the rooms equal the total area of the apartment? Why or why not? Architecture 2 Home Measurement NAME:</p><p>HOME MEASUREMENTS Make the following measurements in your home to the nearest inch and one-quarter inch. Many of these measurements will be important when designing your own house for the final project. To the nearest Rounded to the Common House quarter inch nearest inch Measurements Front door width 36 inches (3 feet) Front door height 84 inches (7 feet) Door distance from ceiling Bedroom door width 30 inches Bathroom door width 26 inches Living room window width Living room window height Window distance from ceiling Kitchen counter depth 24 inches Kitchen counter height Kitchen sink width 36 inches Stove width 30 inches Refrigerator width 36 inches Refrigerator height Bathtub or shower length 60 inches (tub) Bathtub or shower width 30 inches wide (tub) Toilet length Toilet width 30 inches of space Bathroom sink width Bathroom sink depth Bathroom counter width Bedroom window width Bedroom window height Bedroom closet width 24 inches Bedroom closet depth 24 inches Hallway width 36 inches Ceiling height 96 inches (8 feet) Washer and Dryer width 60 inches total Washer and Dryer depth 30 inches Architecture 3 Comparing Median Cost per Square Foot NAME:</p><p>Below are seven sample houses in two different cities. Find the cost per square foot of each house, rounded to the nearest cent. Then find the median cost for each city. You may use a calculator to find the cost per square foot.</p><p>SAN UNDERWOOD MANGHAMVILLE Square Cost per Square Cost per House Cost House Cost Feet sq. ft. Feet sq. ft. 1. $176,500 2,450 $72.04 8. $158,900 2,300</p><p>2. $108,675 1,725 9. $158,695 1,925</p><p>3. $112,365 1,870 10. $110,995 1,970</p><p>4. $143,950 2,200 11. $121,490 2,090</p><p>5. $106,900 1,452 12. $124,900 1,645</p><p>6. $154,590 2,160 13. $157,990 2,430</p><p>7. $151,990 2,055 14. $122,975 1,825</p><p>15. What is the median cost per square foot in San Underwood?</p><p>16. What is the median cost per square foot in Manghamville?</p><p>17. Which city has the lower median cost per square foot?</p><p>18. What is the difference between the two medians?</p><p>19. Which house is the least expensive per square foot?</p><p>20. Which house is the most expensive per square foot?</p><p>Calculate the mean and the median of the five home listed below. Which of the two numbers you calculated is more realistically the typical price of these homes?</p><p>21. $135,000 $3,375,000 $99,950 $126,900 $119,550 Grapevine Real Estate Listings</p><p>Address Price Type Rooms Size Age 1 3826 Shady Meadow $262,000 Single-family 5 br, 4 ba 3042 sq. ft. 15 years</p><p>2 3105 Coveside $289,900 Single-family 3 br, 2.5 ba 3198 sq. ft. 4 years</p><p>3 3312 Marsh $369,900 Single-family 4 br, 3.5 ba 4031 sq. ft. 11 years</p><p>4 4319 Windswept $201,000 Single-family 4 br, 2.5 ba 2462 sq. ft. 13 years</p><p>5 2825 Panhandle $143,500 Single-family 3 br, 2 ba 1508 sq. ft. 22 years</p><p>6 1408 Clearwater $216,500 Single-family 3 br, 3 ba 2317 sq. ft. 3 years</p><p>7 2710 Pin Oak $241,000 Single-family 4 br, 2+ ba 2537 sq. ft. 6 years</p><p>8 1202 Sandhurst $145,900 Single-family 3 br, 2 ba 1624 sq. ft. 17 years</p><p>9 2904 Harvest Hill $165,000 Single-family 3 br, 2 ba 1757 sq. ft. 23 years</p><p>10 2662 Pinehurst $232,000 Single-family 4 br, 2 ba 2402 sq. ft. 3 years</p><p>11 3430 Spring Willow $174,900 Single-family 3 br, 2 ba 2210 sq. ft. 18 years</p><p>12 2702 Yorkshire $249,900 Single-family 5 br, 3 ba 2971 sq. ft. 15 years</p><p>13 925 Wildwood $154,900 Single-family 3 br, 2 ba 1606 sq. ft. 16 years</p><p>14 1886 Cimarron $127,500 Single-family 3 br, 2 ba 1487 sq. ft. 23 years</p><p>15 2125 Sierra $119,900 Single-family 3 br, 2 ba 1365 sq. ft. 23 years</p><p>16 2715 Cobblestone $268,990 Single-family 4 br, 3 ba 2942 sq. ft. New</p><p>17 2717 Cobblestone $257,990 Single-family 4 br, 2.5 ba 2839 sq. ft. New</p><p>18 2719 Cobblestone $283,990 Single-family 4 br, 3.5 ba 3116 sq. ft. New</p><p>Architecture 4 Grapevine Median Cost NAME: Pick any 12 homes from the Grapevine Real Estate Listings and complete the following chart. You may use a calculator. Cost per square foot House Cost Square Feet (rounded to the nearest Bedrooms Bathrooms # cent)</p><p>Use your data to now calculate the following items: # of # of Cost Square Feet Cost per square foot bedrooms bathrooms (nearest (nearest whole (rounded to the (nearest (nearest dollar) number) nearest cent) tenth) tenth) Mean</p><p>Median</p><p>Mode</p><p>Range #1</p><p>Range #2</p><p>Architecture 5 Building Codes/Inspection Record NAME:</p><p>BUILDING CODES No bathrooms may open to the kitchen. Exterior doors must be at least 3 feet wide. There must be at least two entrances to the house. Closets must be at least 2 feet front to rear. The toilet must have 2 feet 6 inches of clear space Bedrooms must have at least one window 3 side to side. feet by 4 feet or larger as a fire escape. All living areas must have a window. (Bathrooms, Interior doors should be at least 2 feet 6 inches halls, closets, and garages are not living areas). wide. No spot on the interior wall may be farther than 6 feet from an electrical outlet, and any wall at least 2 feet in length needs an electrical outlet. (Thus outlets should never be more than 12 feet apart.)</p><p>INSPECTION RECORD</p><p>Architect: ______Building Inspector(s): ______Mathematical Accuracy – 40% of overall score Checked Comments All measurements are correct. Total Area = Square footage and cost Cost per sq. ft. (use Grapevine median) = are computed accurately. Total cost of construction = </p><p>Architectural Neatness – 40% of overall score Checked Comments The drawing is neat, tidy, centered, and not crowded, and writing is legible. Lines are parallel or perpendicular as appropriate. All dimensions of doors, windows, and living areas are shown. Outlets, lights, switches, and fixtures are correctly drawn. Labels are correctly oriented and spelled.</p><p>Livability – 20% of overall score Checked Comments Building codes are followed. No extra or dead-end hallways. Traffic flow is reasonable. Rooms, doors, windows, closets, and counters are the appropriate sizes. TOTAL SCORE: Mathematical Architectural Livability Total accuracy (40) neatness (40) (20) (100) Architecture 6 Flooring Cost Estimate NAME:</p><p>FLOORING COST ESTIMATE</p><p>FOR: ______</p><p>Measurements Cost per Room Area Material Total Cost Length Width Unit Living Area</p><p>Kitchen</p><p>Bathroom</p><p>Bedroom 1</p><p>Bedroom 2</p><p>Hallway</p><p>Total cost of all flooring</p><p>FLOORING COST ESTIMATE</p><p>FOR: ______</p><p>Measurements Cost per Room Area Material Total Cost Length Width Unit Living Area</p><p>Kitchen</p><p>Bathroom</p><p>Bedroom 1</p><p>Bedroom 2</p><p>Hallway</p><p>Total cost of all flooring Architecture 7 Heating System Size NAME:</p><p>HEATING SYSTEM CHART</p><p>System Volume Range Electrical Baseboard model 8900 1 6,250 ft.3 to 7,500 ft.3 Floor Radiant Heat Panels model R1000 2 7,350 ft.3 to 8,750 ft.3 Floor Radiant Heat Panels model R1100 3 8,500 ft.3 to 9,800 ft.3 Heat Pump model P1300 4 9,450 ft.3 to 10,000 ft.3 Heat Pump model P1400 5 9,950 ft.3 to 12,500 ft.3 Furnace model F1500 6 11,750 ft.3 to 14,500 ft.3 Forced Air Heater model FA1800 7 14,050 ft.3 to 16,750 ft.3 Forced Air Heater model FA2000 8 15,750 ft.3 to 18,000 ft.3</p><p>Plan Number Volume Heating System Cabin 1 Cabin 2 1 2 3 4 5 6 7 8 9 10 Architecture 8 Window Percentage NAME:</p><p>WINDOW PERCENTAGE</p><p>List the windows of the house and find each area. Then divide the total by the square footage of the house. Write your answer as a percent.</p><p>Plan ______Plan ______</p><p>Window Size Area Window Size Area 1. 1. 2. 2. 3. 3. 4. 4. 5. 5. 6. 6. 7. 7. 8. 8. 9. 9. 10. 10. 11. 11. 12. 12. 13. 13. 14. 14. Total window area Total window area Total house area Total house area Window area  house area Window area  house area (Round to two decimal places and write as a percent.) Architecture 9 Elevation Sorting NAME:</p><p>ARCHITECT’S RECORD</p><p>Cost per square foot (Grapevine): ______</p><p>Plan Number Square Footage Total Cost Elevations 1 2 3 4 5 6 7 8 9 10 Cabin 1 Cabin 2 A B C D Architecture 10 Roof Diagrams NAME:</p><p>ROOF DIAGRAMS</p><p>C C E</p><p>D D</p><p>B</p><p>A Architecture 10 Roof Diagrams NAME:</p><p>Length of Length of Area of Length of Width of Height of Area of the half of the half of the half of the House (A) House (B) Roof (E) entire roof house (D) roof (C) roof 1. 16 ft. 24 ft. 4 ft.</p><p>2. 18 ft. 34 ft. 5 ft.</p><p>3. 20 ft. 24 ft. 4 ft.</p><p>4. 18 ft. 28 ft. 6 ft.</p><p>5. 18 ft. 29 ft. 7 ft.</p><p>6. 16 ft. 26 ft. 4 ft.</p><p>Cost of New Roof Composition Area of the entire Wood Shingles Tile Shingles roof ($450 per 100 sq. ft.) ($1000 per 100 sq. ft.) ($250 per 100 sq. ft.) 1.</p><p>2.</p><p>3.</p><p>4.</p><p>5.</p><p>6. Architecture 11 Architecture Final Project NAME:</p><p>Requirements for Design</p><p> Each house must have: 3 bedrooms (one of which is a master bedroom) 2 full bathrooms 1 kitchen, dining room, and living room  There must be adequate closet space and storage space for a family of four.  You must include a hot water heater, washer, and dryer.  The total construction cost for the house, including garage, must be under $270,000. The cost of the land is $20,000.  The quality of construction to be used by the builder will cost $100 per square foot.  All houses must fit on a building lot of 88 feet wide by 112 feet deep.  There must be side yards that are a minimum of 12 feet on each side.  The house must be set back from the front at least 20 feet.  The house must have 30 feet of space for the backyard.  You must use a standard two-car garage that measures 20 feet by 24 feet. The cost per square foot of the garage is half that of the rest of the house.  The backyard may only contain things “normally” found in a small backyard. This includes things like trees, paths, flower gardens, ponds, small playgrounds, etc. It may not contain fast-food restaurants, gyms, football fields, etc.</p><p>Typical Room Areas Master Bedroom 170-250 ft.2 Kitchen 110-170 ft.2 Bedroom 100-150 ft.2 Dining Room 130-170 ft.2 Master Bathroom 70-100 ft.2 Living Room 250-400 ft.2 Bathroom 50-80 ft.2</p><p>Your rooms must be at least as big as the minimum square footage listed above. Room sizes may go above the maximum, but remember that you have a limited budget.</p><p>To earn the highest grade possible check for… Spelling must be correct!!! Room names are listed Interior doors 2½+ feet Front door opens to the front Exterior doors 3+ feet Toilet space 2½+ feet Most rooms are rectangles No bathrooms open to the Bedroom windows 3 ft. by 4 ft. kitchen or larger House meets livability standards Rooms connected and are Outlets within 6 ft. of (building inspectors page) appropriate size everything in interior walls Bedrooms open to bathrooms Two entrances to the house All living areas have windows Front, side, and back yards are Minimum number of Window dimensions listed sized correctly electrical outlets are used Very little hall space Door dimensions listed Hot water heater Washer, dryer, DW, refrigerator, Kitchen and bathrooms have Switches connect to lights and sinks, stove, counter space correct symbols fans Outlets for stove, washer, dryer Closet space NEAT, NEAT, NEAT! ARCHITECTURE FINAL PROJECT STEPS</p><p> Rough draft of layout – no halls – use the One-Story Home books to assist you  Approval by Mr. Mangham  Pick up poster board  Determine parts of poster board where you may not draw the house  Draw driveway and garage  Draw all other rooms – Do not try to draw the outside of the house and then try to draw the rooms inside!  Draw doors and eliminate walls (if necessary)  Draw wall thickness and windows – check examples  Draw sinks, toilets, hot water heater, washer, dryer, etc.  Draw outlets, lights, switches, etc.  Draw names on all rooms – neatly – all caps – all the same direction  List the dimensions of each room  Start completing recording sheet (length, width, perimeter, area)  Draw scale, architects  Final check of requirements page  Draw features outside the house (pools, gardens, etc.) Architecture 12 Architecture Final Project Calculations NAME(s):</p><p>Room name Length* Width* Perimeter Area Cost</p><p>********** Entire living area ********** Garage ***** Total of living area and garage ***** Land ******* Grand total cost (must be less than $270,000) *******</p><p>* For rooms that are not rectangles, leave these two columns blank and list the dimensions below that you used to calculate the perimeter, area, and cost. BUILDING SITE PLAN</p><p>88 feet</p><p>30 ft. t</p><p> e HOUSE e f</p><p>12 ft.</p><p>2 12 ft. 1 1</p><p>GARAGE</p><p>Utility Easement Line</p><p>20 feet DRIVEWAY</p><p>STREET Ratios in Architecture</p><p>From earliest times the Greeks and Romans were preoccupied with building structures that were pleasing to the eye. They were convinced that architectural beauty was obtained by the interrelation of universally valid ratios. Frequently complicated mathematical ratios were used by architects to accomplish their goals. </p><p>A ratio is a comparison by division of two quantities expressed in the same unit of measure. The ratio may be expressed in words or in symbols. For example, if segment AB is 1 inch long and segment CD is 2 inches long, we say that the ratio of AB to CD is 1 to 2. In symbols, the ratio may 1 be expressed as the fraction , or it may be written in the form 1:2. 2</p><p>The length and width of a room are 22 feet and 14 feet, respectively. Express in Example 1: three different ways the ratio of the length of the room to the width in simplest form. (1) 22 to 14 or 11 to 7. 22 14 Solution: (2) or 14 7 (3) 22:14 or 11:7 3 A door is 30 inches wide and 2 yards high. What is the ratio of the width to Example 2: 4 the height of the door? Width = 30 inches 3 3 11 Solution: Height= 2 yds. = 2 x 36 = x 36 = 99 in. 4 4 4 The ratio of the width to the height is 30 to 99 or 10 to 33. </p><p>Exercises:</p><p>1. Using a ruler, measure line segments AB, BC, CD, AC, BD, and AD to the nearest sixteenth of an inch. B</p><p>A</p><p>D C</p><p>Next, complete the following table: Length (in.) as a Length (in.) as a decimal fraction (nearest tenth) 1. Length of AB 2. Length of AC 3. Length of AD 4. Length of BC 5. Length of BD 6. Length of CD</p><p>Then, evaluate the following ratios. Write each ratio using whole numbers and in simplest form: 7. AB:BC 8. AB:BD 9. BD:BC 10. CD:AB 11. BC:CD 12. BC:CD 13. AC:CD 14. AD:CD</p><p>Express each of the following ratios in lowest terms: 1 15. 30:35 16. 4: 17. .08:3 2 1 7 18. 40:280 19. 6 : .2 20. : 5 15</p><p>Find the ratio of the first quantity to the second (use the same units for each number): 1 21. 3 ft. to 6 yd. 22. 4.5 in. to 3 yd. 4 1 23. 8 in. to 5 ft. 24. ft. to 54 in. 2</p><p>Measure the length, width and height of one of the largest rooms in your house. Use a room that is a rectangle of is close to a rectangle. Find the dimensions of all doors and windows in that room. 25. Length of room 26. Width of room 27. Height of wall 28. Length of door/entry 29. Width of door/entry 30. Height of door/entry 31. Length of window 32. Height of window</p><p>Using these dimensions, write five possible ratios (all in simplest form.) 33. 34. 35. 36. 37. Proportions in Architecture</p><p>From earliest times men have recognized the value of good proportions in architecture. The ancient Greeks and Romans followed certain mathematical ratios and proportions to attain order, unity and beauty in their buildings. Using fixed mathematical formulas they were able to establish a pleasing relationship among various parts of buildings that have been admired for generations. </p><p>A proportion is an equation stating that two ratios are equal. Every proportion has four terms. The first and fourth terms are the extremes. The second and third terms are the means. In every proportion the product of the means equals the product of the extremes. </p><p>1 3 The fourth term of a proportion is called the fourth proportional to the other three terms. In = , 2 6 6 is the fourth proportional to 1, 2, and 3. When the second and third terms of a proportion are the same, they are called the geometric mean or mean proportional, and the fourth term is then called 1 2 the third proportional. = , 2 is the mean proportional, and 4 is the third proportional. 2 4</p><p>2 5 Example 1: Is = a true proportion? 3 7 3(5) = 15 2(7)= 14 Solution: Since the product of the means does not equal the product of the extremes, 2/3 = 5/7 is not a proportion. 4 x Example 2: Find the missing term. = 7 35 7x = 4(35) 7x = 140 Solution: x = 20 The missing term is 20. Example 3: Find the fourth proportional to 1, 2 and 3. 1 3 = Solution: 2 x 1x= 2(3) x= 6 The fourth proportional is 6. Example 4: Find the mean proportional between 2 and 8. 2 x = Solution: x 8 2x= 16 x= 4 The mean proportional between 2 and 8 is 4. </p><p>Measure the height to length of a television screen in your home. Then, find six items in your home that are proportional (or very close) to your television. Record your results below. Ratio of height to length 38. Television 39. 40. 41. 42. 43.</p><p>Find the fourth proportional to: 44. 4, 5, 6 45. 8, 10, 12 46. 3, 5, 7 47. 8, 12, 13</p><p>Find the mean proportional between: 48. 3 and 27 49. 4 and 16 50. 6 and 24 51. 2 and 50</p>