geometry

Each course contains three components:

  • Skills Application

    Instructional Objectives: The Skills Application video component introduces geometric reasoning, problem solving and identification for trades application.

    Learning Materials:: 6 episodes of instructional videos

    Episode 30 | Introduction to Geometry  [2:38]
    Episode 31 | Angular Units of Measure  [2:31]
    Episode 32 | Converting DMS to Decimal Degrees  [2:28]
    Episode 33 | Converting Decimal Degrees to DMS  [2:22]
    Episode 34 | Subtracting DMS  [3:45]
    Episode 35 | Multiplying DMS  [2:18]

  • Step-by-Step

    Instructional Objectives: The Step-by-Step video component shows how to practically apply the geometry principals introduced previously to working examples.

    Learning Materials:: 6 episodes of instructional videos

    Episode 30 | Introduction to Geometry  [1:11]
    Episode 31 | Angular Units of Measure  [3:55]
    Episode 32 | Converting DMS to Decimal Degrees  [3:30]
    Episode 33 | Converting Decimal Degrees to DMS  [3:18]
    Episode 34 | Subtracting DMS  [3:18]
    Episode 35 | Multiplying DMS  [4:35]

  • Worksheets

    Instructional Objectives: These worksheets provide detailed, geometry related problem-solving examples to foster critical, independent thinking.

    Learning Materials:22 online or print-ready, downloadable PDF worksheets

    Episode 30 | Introduction to Geometry  [Level 1, Level 2]
    Episode 31 | Angular Units of Measure  [Level 1, Level 2, Level 3, Advanced]
    Episode 32 | Converting DMS to Decimal Degrees  [Level 1, Level 2, Advanced]
    Episode 33 | Converting Decimal Degrees to DMS  [Level 1, Level 2, Advanced]
    Episode 34 | Subtracting DMS  [Level 1, Level 2, Level 3, Advanced]
    Episode 35 | Multiplying DMS  [Level 1, Level 2, Level 3, Advanced]

 
 
 

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Geometry: Sections Overview
Introduction to Geometry
Introduction to Geometry

Geometry is one of the oldest branches of mathematics. It involves the study of the properties of points, lines, plane surfaces, and solid figures. Ancient Egyptian engineers used geometry when they built the pyramids, and modern trades workers use them when cutting sheet metal, installing plumbing, building cabinets, laying flooring and carpeting, and performing countless other tasks. The word "trigonometry" is derived from the Greek words meaning measurement of triangles. Trigonometry has application in navigation, surveying, construction, and many others branches of science, including mathematics and physics.

Angular Units of Mesure
Angular Units of Mesure

In most practical work, angles are measured in degrees and fractions of a degree. Smaller units have been defined as follows:

60 minutes = 1 degree abbreviated as 60′ = 1°

60 seconds = 1 minute abbreviated as 60′′ = 1′

In some trades, angles are usually rounded to the nearest degree. For most technical purposes, angles can be rounded to the nearest minute. For a few trades, angles are rounded to 2 decimals of a second.

Converting Degrees, Minutes & Seconds to Decimal Degrees
Converting Degrees, Minutes & Seconds to Decimal Degrees

Sometimes in your work you will need to convert an angle measured in degrees and minutes to its equivalent in decimal degrees.

Converting Decimal Degrees to Degrees, Minutes & Seconds
Converting Decimal Degrees to Degrees, Minutes & Seconds

Sometimes in your work you will need to convert an angle measured in decimal degrees to its equivalent in degrees and minutes.

Example:

Convert 27.25° to degrees and minutes.

Subtracting degrees, Minutes & seconds
Subtracting degrees, Minutes & seconds

Sometimes in your work you will need to subtract angles in degrees and minutes. Subtraction works the same way as it does with whole numbers. There is only one difference: Carrying and borrowing is done in multiples of 60 between the degrees, minutes or seconds columns, but it is done in multiples of 10 within a column.

Multiplying Degrees, Minutes & seconds
Multiplying Degrees, Minutes & seconds

Sometimes in your work you will need to multiply angles in degrees and minutes. Multiplication works the same way as it does with whole numbers. There is only one difference: Carrying over is done in multiples of 60 between the degrees, minutes or seconds columns, but it is done in multiples of 10 within a column.

Further Studies
Further Studies
Where to go from here...

First of all congratulations!

Interested in Euclidean plane geometry for 2D computer graphics...or 3-dimensional Euclidean geometry for 3D computer graphics? Here are a few reference points from A to Z that may peak your interest.

NOTE: Select a thumbnail from above for a lesson unit description
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