MATH 3050 – Content Standards (Learning Outcomes)
Title: Geometry and Spatial Sense
Goal: Apply geometric concepts, properties and relations and communicate the reasoning used in the application.
Outcomes
- Describe, sort, and classify shapes.
- Investigate the results by subdividing, combining, and changing shapes.
- Construct two- and three-dimensional shapes with physical models.
- Identify, draw and interpret two- and three-dimensional shapes.
- Develop spatial sense (include near, between, etc.)
- Describe, model, draw, and classify shapes.
- Investigate and predict the results of combining, subdividing, and changing shapes.
- Identify, describe, and draw lines, line segments, lines of symmetry, rays, angles, and parallel and perpendicular lines.
- Relate geometric ideas to number and measurement ideas.
- Determine when figures are congruent and similar.
- Identify, describe, compare, and classify geometric figures.
- Visualize and represent geometric figures with special attention to developing spatial sense.
- Explore transformations of geometric figures.
- Determine when figures are congruent and similar.
- Represent and solve problems using geometric models.
- Understand and apply geometric properties and relationships.
- Recognize geometric relationships in the world.
- Investigate properties of triangles and develop connections among right triangle ratios.
- Represent problem situations with geometric models and apply properties of figures.
- Classify figures in terms of congruence and similarity and apply these relationships.
- Deduce properties of, and relationships between, figures from given assumptions and from using transformations.
- Deduce properties of figures using transformations.
- Synthesize geometric concepts into algebraic, functional, and problem-solving activities.
- Develop the relationship between the Golden Section and the pentagon.
- Deduce the geometry of the Fibonnaci numbers.
- Apply curved surfaces.
- Applications of geometry to Origami and Celtic knots.