MATH 1420 - Geometry Concepts for Teachers

3 sem hrs cr

Topics include measurement, congruence, similarity, and graphing; constructions, theorems, and proofs in both non-coordinate and Cartesian settings; historical development of geometry as a tool. Activities include creating models and manipulatives. Prerequisite: Documented eligibility for collegiate mathematics; one high school credit each in algebra I, algebra II, and geometry

A minimum grade of “C” is required in this course the meet the requirement of the AST degree.

In rare and unusual circumstances, a course prerequisite can be overridden with the permission of the Department Lead for the discipline.

This course may include proctored exams which must be completed on campus or at an instructor approved proctoring center which may require additional costs to the student. Please consult your instructor for additional details.

  Formerly/Same As (Formerly MAT 1240)

Transfer (UT) or Non-Transfer Course (UN): UT

By the end of the course, students will be able to…

• prepare prospective elementary school teachers in the areas of non-coordinate and coordinate geometry with basic skills and understanding needed to teach these topics.
• acquaint future teachers with models and manipulatives commensurate with presentation of geometric ideas such as measurement, congruence, similarity, and graphing.

Course Objectives

Throughout the course, students will have the opportunity to…

• recall and state the undefined terms of geometry.
• relate the historical foundation of geometry.
• use correct terminology and notation associated with lines, rays, and line segments.
• recognize angles, including vertices, classifications, angle pairs, and angle measurement.
• recognize and reproduce parallel and perpendicular lines and the angles associated with them.
• apply the four steps of problem solving in geometric situations.
• recognize the parts of a circle.
• name polygons and differentiate between concave and convex polygons.
• use formulas to find polygonal figures.
• define and reproduce regular and semi-regular tilings.
• analyze properties of 3-dimensional figures.
• apply Euler’s formula to edges, vertices, or faces of polyhedral.
• analyze figures to determine symmetry.
• use the American Standard and the International System units of measure in problem-solving situations.
• use the Pythagorean Theorem.
• find area and perimeter of 2-dimensional figures.
• use Pick’s Theorem to find area on the geoboard.
• calculate volume and surface area of 3-dimensional figures.
• define congruence mapping of polygons.
• determine congruent pairs of triangles based on the 5 congruency postulates.
• perform basic constructions using a straight-edge, compass, and/or Mira.
• identify the centroid, incenter, circumcenter, and orthocenter of a triangle and relate properties for each.
• perform translations, reflections, and rotations of polygons.
• explore tilings of non-polygonal shapes.
• perform similarity mappings.
• find missing sides of similar triangles.
• calculate measures of central tendency to include mean, median, and mode.
• recognize a normal distribution and identify skewness.
• calculate standard deviation and weighted average.
• calculate experimental probability.
• use counting techniques to find the number of elements in a set.
• use permutation and combination processes for counting.
• find theoretical probabilities.