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(Re)Learning The Basics Feet and Inches Perimeter Area Volume Proportions

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WHY IS THIS IMPORTANT?

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Units of Measure “Customary” – US only, used in architecture Metric – Global, also sometimes used in US for engineering

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Measuring Vocabulary Customary –Inch, Foot (=12 inches), Yard (=3 Feet), Mile (=5280 Feet) –Measures less than one inch are in fractions ½, ¼, 1/8, 1/16, 1/32. 1/64 Metric –Meter, Kilometer (1000 meters) –Less than one meter: Decimeter (1/10), Centimeter (1/100), Millimeter (1/1000), etc.

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Activity (Part 1: To Be Handed In) Add 10’6” and 4’9” Subtract 2’ 8” from 13’ How many inches in a mile How many yards in a mile How many inches in a 1.5 yards

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Perimeter of a rectangle From math, perimeterof a rectangle is: –2 x length + 2 x width –Ex. A room with l = 10’ and w = 12’ has perimeter of 44’ What is the perimeter of a room with dimensions: – 11’4” x 10’8” – 8’3” x 12’7” –120’3” x 70’5’

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Perimeter of an Arbitrary Figure Perimeter is the sum of the side lengths Ex: Side lengths clockwise from point A are 4’5”, 1’5”, 8”, 1’5”, 5’1”, 3’9”. What is perimeter? What if each side is halved? A

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Area of a Rectangle From math, area of a rectangle is: –length x width –Ex. A room with l = 10 and w = 12 has Area = 120 Converting feet/inches to decimal feet: – 12’5” = 12 + 5/12 feet = 12.42 feet =12.42’ General calculation of area of a room –Ex. A room with l = 12’5” and width = 10’2” has area of (12+5/12) x (10+2/12) = 126.24 square feet

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Volume of a Rectangular Solid From math, volume of a rectangular solid is: –length x width x height –Ex. A room with l = 10 and w = 12 and 8 foot ceilings has a volume of 10 x 12 x 8 = 960 cubic feet –Ex. A room with l = 12’2” and w = 10’ 4” and 9 foot ceilings has a volume of (12+2/12) x (10 + 4/12) x 9 = 1131.5 cubic feet Common decimals to know: 3” = ¼ foot =.25 feet, 4”, 6”, 8”, 9”

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Practice What are the fractional and decimal equivalents of 3”, 6”, 9”, 4”, 8” Find the perimeters of the following rooms –L = 10, w = 10 –L = 8’6”, w = 12’ 6” –L = 17’2”, w = 19’5” Find the area of each if these rooms Find the volumes of the above rooms at ceiling heights of 8’6”, 9’, and 10’

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Ratios Compares/converts one unit of measure to another: –Ex: a map, 1” equals one mile then ratio is 1”/1 mile or 1mile/1” or 1”:1 mile or 1 mile: 1” –Ex: Busses required for the band… –Ex: Computers per student in our class

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Practice Convert from 10 feet to inches using a proportion to convert, show work Convert 10 inches to cm using the conversion factor of 2.54 cm/inch

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How to read an Architect’s Scale UNT in partnership with TEA. Copyright ©. All rights reserved.

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What is an Architect’s scale? UNT in partnership with TEA. Copyright ©. All rights reserved. A triangular shaped instrument used for making or measuring scaled drawings such as blueprints or floor plans.

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UNT in partnership with TEA. Copyright ©. All rights reserved. Scales can be made of wood, plastic, or aluminum.

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UNT in partnership with TEA. Copyright ©. All rights reserved. The scale can be read from left to right and right to left. 1/8” scale would be read from left to right and the ¼” scale would be read from right to left.

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What does “drawn to scale” mean? UNT in partnership with TEA. Copyright ©. All rights reserved. For example, one-fourth inch (¼”) on the plan may represent one foot (1’) in the real world. On a scaled drawing, a small measurement is used to represent a large measurement.

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One word….. Two different meanings UNT in partnership with TEA. Copyright ©. All rights reserved. 2. The unit of measurement that plans are proportionally drawn to ¼ ” = 1’ 1. The actual instrument used for drawing and measuring

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UNT in partnership with TEA. Copyright ©. All rights reserved. Commercial buildings may be drawn at 1/8” = 1’ if they are too large to fit on the desired sheet size at ¼” = 1’. Floor plans for residential structures are usually drawn at ¼” = 1’.

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Step 1 Determine the drawing scale. Example 1 UNT in partnership with TEA. Copyright ©. All rights reserved.

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Step 1 Determine the drawing scale. Example 2 UNT in partnership with TEA. Copyright ©. All rights reserved.

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Step 1 Determine the drawing scale. Example 3

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Step 2 Find the matching number on the architect’s scale. UNT in partnership with TEA. Copyright ©. All rights reserved.

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Step 3 Place the scale on the print. Place the mark above the zero at the beginning of the line to be measured. UNT in partnership with TEA. Copyright ©. All rights reserved.

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Step 4, Using the scale to draw. UNT in partnership with TEA. Copyright ©. All rights reserved. To drawn your own prints, determine the length of the object to be drawn, then scale it down accordingly using the architect’s scale. For example, using the 1/8”= 1’ example, a wall 20 feet in length would become 20/8 inches, or 2 1/2 inches on the blueprint.

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Example 1: Convert Area Measurements

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