Learning Objectives & Matches
Explain the historical aspects of Euclidean geometry
Shape lenses appropriately so that they can be inserted into frames.
Prepare notes, sketches, geological maps, or cross-sections.
Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
Identify, scale, and orient geodetic points, elevations, and other planimetric or topographic features, applying standard mathematical formulas.
Research architectural and stylistic elements appropriate to the time period to be depicted, consulting experts for information, as necessary.
Trace historical development in a particular field, such as social, cultural, political, or diplomatic history.
Prepare geometric layouts from graphic displays, using computer-assisted drafting software or drafting instruments and graph paper.
Apply three-dimensional (3D) or four-dimensional (4D) technologies to geospatial data to allow for new or different analyses or applications.
Create visual representations of geospatial data, using complex procedures such as analytical modeling, three-dimensional renderings, or plot creation.
Provide training and interpretation in the use of methods or procedures for observing and checking controls for geodetic and plane coordinates.
Explain the historical aspects of hyperbolic geometry
Create visual representations of geospatial data, using complex procedures such as analytical modeling, three-dimensional renderings, or plot creation.
Calculate orbits and determine sizes, shapes, brightness, and motions of different celestial bodies.
Draw maps, diagrams, and profiles, using cross-sections and surveys, to represent elevations, topographical contours, subsurface formations, and structures.
Prepare notes, sketches, geological maps, or cross-sections.
Prepare and alter trace maps, charts, tables, detailed drawings, and three-dimensional optical models of terrain using stereoscopic plotting and computer graphics equipment.
Trace historical development in a particular field, such as social, cultural, political, or diplomatic history.
Identify, scale, and orient geodetic points, elevations, and other planimetric or topographic features, applying standard mathematical formulas.
Determine reference points, machine cutting paths, or hole locations, and compute angular and linear dimensions, radii, and curvatures.
Apply three-dimensional (3D) or four-dimensional (4D) technologies to geospatial data to allow for new or different analyses or applications.
Research architectural and stylistic elements appropriate to the time period to be depicted, consulting experts for information, as necessary.
Work with the applications of geometric transformations in the sciences
Apply three-dimensional (3D) or four-dimensional (4D) technologies to geospatial data to allow for new or different analyses or applications.
Prepare geometric layouts from graphic displays, using computer-assisted drafting software or drafting instruments and graph paper.
Create two-dimensional and three-dimensional images depicting objects in motion or illustrating a process, using computer animation or modeling programs.
Determine reference points, machine cutting paths, or hole locations, and compute angular and linear dimensions, radii, and curvatures.
Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
Create visual representations of geospatial data, using complex procedures such as analytical modeling, three-dimensional renderings, or plot creation.
Integrate and develop visual elements, such as line, space, mass, color, and perspective, to produce desired effects, such as the illustration of ideas, emotions, or moods.
Propose solutions in engineering, the sciences, and other fields using mathematical theories and techniques.
Perform complex, dynamic, and integrated mathematical modeling of ecological, environmental, or economic systems.
Establish fixed points for use in making maps, using geodetic and engineering instruments.