MATH 129 - Mathematics for Elementary Education III

1. Use standard geometry notation to describe lines, segments, rays, planes, angles, polygons, and polyhedra.
2. Classify and describe attributes of two- and three-dimensional shapes according to their properties. In particular, understand the subcategories of triangles (e.g. obtuse, isosceles, etc.) and quadrilaterals (e.g. kites, trapezoids, etc.)
3. Describe the results of sliding, reflecting, expanding, and rotating two-dimensional shapes, and be able to perform these transformations with ruler, protractor, and compass.
4. Demonstrate an understanding of congruency and similarity of geometrical objects and be able to use triangle congruency principles in simple geometric reasoning.
5. Understand the concept of mathematical proof, and be able to (informally) prove simple propositions.
6. State and use the Pythagorean Theorem.
7. Use a coordinate system to plot points and apply distance and midpoint formulas.
8. Demonstrate an understanding of measurement systems and carry out conversions within and between the U.S. Customary system and the metric system, including those involving compound units (e.g. g/cm3 into kg/m3.)
9. Calculate the perimeter and area of various two-dimensional shapes, and understand the types of symmetry applicable to 2-D shapes.
10. Visualize and reason in simple ways about 3-D shapes, and calculate the volume and surface area of various three-dimensional shapes. Understand the types of symmetry applicable to 3-D shapes.
11. Solve a variety of application problems in the above areas.
12. Use manipulatives and technology to support teaching and learning in topics.
13. Use computer technology, which may include the Internet, the Web, email, or computer software to enhance the course objectives.

• Points, lines, planes
• Angles, parallel and perpendicular lines
• Triangles, quadrilaterals, polygons, and circles
• The Pythagorean Theorem
• Congruence, similarity, and symmetry
• Reasoning about geometric figures
• Geometric transformations
• Viewing, drawing, and understanding solid figures
• Systems of measurement
• Perimeter and area
• Volume
• Surface area
• Coordinate geometry

 
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