MATH105 Mathematics for Educators II

Department of Science, Technology, Engineering & Mathematics: Mathematics

I. Course Number and Title
MATH105 Mathematics for Educators II
II. Number of Credits
3 credits
III. Number of Instructional Minutes
IV. Prerequisites
MATH102 (C or better) or Permission of the Department of Science, Technology, Engineering & Mathematics
V. Other Pertinent Information
A comprehensive departmental final examination is required for this course.
VI. Catalog Course Description
This course provides a continuation of the mathematics preparation for students interested in elementary education. Topics include rational numbers, real numbers, probability, statistics, measurement, and geometry.
VII. Required Course Content and Direction
  1. Course Learning Goals

    Students will:

    1. use equivalence classes of integers to define the rational numbers and their operations; order rational numbers; use algorithms to write rational numbers as fractions and decimals; and solve problems involving percents, ratios, and proportions;
    2. solve problems involving real numbers;
    3. organize data, including circle graphs and frequency distributions; calculate measures of central tendency and spread; create box and whisker plots from sets of data; and develop an understanding of how statics may be abused;
    4. solve problems involving experimental, theoretical probability, the counting principle, permutations, combinations, conditional probability, odds, and expected value;
    5. solve problems involving measurement in both standard and nonstandard units; and
    6. solve geometry problems involving perimeter, area, surface area, volume, geometric modeling, symmetry, congruence, similarity, and use the Pythagorean Theorem to solve geometry problems.
  2. Planned Sequence of Topics and/or Learning Activities

    1. Rational Numbers
      1. definition of rational numbers and operations for rational numbers using equivalence classes
      2. ordering of the rational numbers
      3. rational numbers as fractions and algorithms
      4. rational numbers as decimals and algorithms
      5. percent, ratio, and proportion
    2. Real Numbers
      1. rational numbers and irrational numbers
    3. Statistics
      1. organize and picture data, including circle graphs and frequency distributions
      2. measure of central tendency and spread; box and whisker plots
      3. abuses of statistics
    4. Probability
      1. experimental probability
      2. theoretical probability
      3. methods of counting
      4. permutations and combinations in probability
      5. conditional probability
      6. odds and expected value
    5. Measurement
      1. measurement with both standard and nonstandard units
      2. perimeter and area
      3. Pythagorean Theorem
      4. surface area
      5. volume
    6. Geometry
      1. spatial visualization and geometric modeling
      2. geometric shapes and their properties
      3. symmetry, congruence, and similarity
  3. Assessment Methods for Course Learning Goals

    Students will apply mathematical concepts and principles to identify and solve problems through informal assessment (oral communication among students and between teacher and students) and formal assessment (may include homework, quizzes, exams, projects, and comprehensive final).
  4. Reference, Resource, or Learning Materials to be used by Student:

    Departmentally-selected textbook. Details provided by the instructor of each course section. See course syllabus.

Approval/Revision Date: 06/2013; New Core 8/2015