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
- 2250
- IV. Prerequisites
- MATH102 (C or better) or Permission of the Department of Science, Technology, Engineering & Mathematics
- Corequisites
- None
- 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 graphs, functions, probability, statistics, measurement, and geometry.
- VII. Required Course Content and Direction
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Course Learning Goals
Students will:
- graph linear and quadratic functions;
- present data, including frequency distributions, histograms, and stem and leaf plots;
- calculate measures of central tendency, spread, and standard deviation including a z-score for a data item and a score that is a specific deviation from the mean in a data set;
- interpret percentiles and quartiles;
- solve problems involving normal distributions;
- solve problems involving experimental, theoretical probability, the counting principle, permutations, combinations, conditional probability, and odds;
- solve problems involving measurement in both standard and nonstandard units; and
- solve geometry problems involving perimeter, area, surface area, volume, geometric modeling, symmetry, congruence, and similarity, using the Pythagorean Theorem as appropriate.
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Planned Sequence of Topics and/or Learning Activities
- Graphs and Functions
- graph linear equations
- function notation
- vertical line test for functions
- intercepts and slope in graphing linear equations
- graph vertical and horizontal lines
- graph quadratic functions
- Measurement
- dimensional analysis
- metric prefixes
- measures of area and volume
- measures of weight and temperature
- Geometry
- points, lines, planes
- geometric shapes and their properties
- perimeter and area
- Pythagorean Theorem
- surface area
- volume
- congruence, and similarity
- Probability
- experimental probability
- theoretical probability
- methods of counting
- permutations and combinations in probability
- odds and events involving NOT and OR
- Statistics
- sampling, frequency distributions, and graphs
- measure of central tendency
- measures of dispersion
- the normal distribution and solving problems involving the normal distributions
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Assessment Methods for Course Learning Goals
Students 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).
A minimum of 70% of a student's grade must be determined from proctored assessments and work. These proctored assessments include tests, quizzes, departmental final exam, or other proctored in-class assignments.
The final exam must be at least 20% of the course grade. Study guides, formula sheets, and other aids may not be used on the final exam.
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Reference, Resource, or Learning Materials to be used by Student:
A departmentally-selected textbook is used. Calculators are permitted to be used in the Statistics unit only. The permitted calculator is a TI 30X IIS. Details provided by the instructor of each course section. See course syllabus.
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Approval/Revision Date: 06/2013; New Core 8/2015; Updated 11/2019; Revision 6/1/22