Transcript Applied Mathematics

Applied Mathematics
Aaron
Morgan
Amber
Trigonometry
• Functions include Sine, Cosine, Tangent,
Cosecant, Secant, and Cotangent (use in
calculator) cosine is the x value and sine is the
y.
• Used to find/analyze lengths and degrees (like
the sides in triangles).
• ((A^2)+(B^2))=(C^2) Pathogen theorem
Fractions, Decimals, and
Percentages
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¼=.25=25%
1/10=.1=10%
3/6=.5=50%
1/1=1=100%
Also in a graphing calculator you can type in
the decimal and press math then Frac and
then press enter to find the decimal as a
fraction
Weight
• Weight=M(mass) x G(gravity)
• Weight is the force an object applies solely
due to gravity.
• Example: 40grams X 50(gravity)= 2000Newtons
Geometry
• A square- has 4 equal sides with 90 degree
angles on all sides
• A triangle- has 3 sides and can have varying
angles (sometimes 180)
• A circle- has no sides and round
Operations
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Addition: examples; 5+4=9, 4+3=7
Subtraction: examples; 6-3=3, 8-4=4
Multiplication: examples; 8x8=64, 9x9=81
Division: examples; 24/3=8, 40/2=20
Measurements
1 foot=12 inches
1 mile=5280 feet or 1.609344 kilometers
1 pound=453.592 grams
1 kilometer=1000 meters
1 meter=100 centimeters(remember by
Century=100)
• 1 centimeter=10 millimeters
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Area
• Area is the amount of space with in a 2D
space.
• Area of a rectangle= Length times width
• Area of a circle=pi times (radius^2)
Perimeter
Scales
• Scales are in the form of ratios.
• Example; 1”=6’
• This means, for every 1 inch measured on the
model/drawing, that represents 6 feet in reality.
• 1”=3’
Volume
• Volume is the measure of 3 dimensional space
an object occupies.
• Volume of a rectangle is calculated by length
times width times height.
• Volume of a sphere is four-thirds times pi
times the radius cubed.
Volume Formulas
Rise, Run, and Slope
• Rise is the amount of vertical change between
two points.
• Run is the amount of horizontal change
between two points.
• Slope is the change in two points based upon
the rise and run.
Pitch
• Pitch is a measurement of steepness(such as
like a roof).
• It’s also called:
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Gradient
Incline
Angle
Slope
Preparing to Draw
and Geometric
Construction
Aaron
Morgan
Amber
Equipment
Layout, Scales, and Orientation
• Paper sizes many vary to 8.5 x 11 and 11 x 17
• In AutoCAD, you have to actually change the
scale unlike in Revit it automatically changes
the scale that is desired for the drawing
• Orientation of drawing as portrait which is
either vertical, landscape is horizontal
Line Types
• Line usually mean different things such as a
hidden line, dimension line, extension line,
and object line
Geometric elements
Lines, Arcs, and Angles
• Line- length of cord, rope, wire, or other
material serving a particular
purpose(continuous length)
• Arc- a part of the circumference of a circle or
other curve
• Angle-the space (usually measured in degrees)
between two intersecting lines or surfaces at
or close to the point where they meet.
Dimensions and notes
• Dimensions used to show measurements of an
object in a drawing.
• Notes are added in a drawing, to give
additional information
Practice
• 1) What is the length of leg A if leg B is 3 and
the Hypotenuse is 5?
• 2) Interpret the following: 1/4”=1’
• 3) What is the area of a rectangle with sides
equal to 8 and 9?
• 4) what is the formula for weight?
• 5) Name a type of line
Practice
6) Name equipment
7) What does pitch measure?
8) Convert 5123 centimeters to kilometers
9) True or False: a scale is used to measure
weight
• 10)what is volume?
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Answers
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1) 4
2) Every 1/4” on a model represents 1’ in full scale
3) 72
4) W=MG
5) hidden, extension, section, etc
6) t square, triangle, architect scale, eraser shield
7) Steepness
8) .05123km
9) false
10) the amount of space an object takes up