MAT 120 - Mathematics for Elementary Education II
Simple probability, odds, expected value; patterns, symmetry, tilings, sequences, and pattern block manipulation; functions of one or more variables with graphs and applications; right triangle trigonometry; sine, logarithmic, exponential, quadratic and logistic curves. Students are expected to explain the material as though to a target audience. Course uses a project-based instruction methodology. Intended only for elementary education majors, this course is the second course in a two course sequence (with MAT 119) for completion of SUNY General Education Math requirement. (Writing Emphasis Course)
Prerequisite: MAT 119 Mathematics for Elementary Education I and ENG 110 College Writing I
3 Class Hours
Learning Outcomes of the Course:
Upon successful completion of this course the student should be able to:
1. Identify the sample space and event spaces in probability experiments.
2. Draw tree diagrams and tables to solve probability problems.
3. Calculate simple theoretical and experimental probabilities.
4. Calculate compound theoretical and experimental probabilities using trees and multiplication principle.
5. Determine odds.
6. Calculate expected value.
7. Write recursion formulas and explicit formulas for various sequences.
8. Recognize and write recursive and explicit formulas for arithmetic, geometric, Fibonacci and, optionally, polygonal umber sequences.
9. Hexiamonds, Polyominoes, Pentominoes, and Tetrahexes.
10. Tile a plane using various combinations of regular polygons.
11. Identify various types of plane tilings.
12. Identify symmetry in a pattern.
13. Identify and create the various types of border patterns.
14. Build designs with pattern blocks.
15. Evaluate functions of one or several variables.
16. Review solving equations of a single variable.
17. Recognize and appropriately use degree and radian measure.
18. Solve applications using right triangle trigonometry.
19. Recognize the graphs of the sine, logarithmic, exponential, quadratic and logistic curves.
20. Calculate angles using inverse trigonometric functions.
21. Algebraically solve equations in a single variable, including sine, logarithmic, exponential and logistic curves.
22. Recognize applications of sine, logarithmic, exponential, quadratic, and logistic curves.
23. Complete writing assignments.
24. Conduct research using professional journals and the Internet.
25. Complete and present projects.
26. Participate in cooperative learning activities.
This course prepares students to meet the Mathematics General Education requirement.
In context of the course objectives listed above, upn successful completion of this course the student will be able to:
1. Interpret and draw inferences from mathematical models such as formulas, graphs, tables and schematics.
2. Represent mathematical information symbolically, visually, numerically and verbally.
3. Employ quantitative methods such as arithmetic, algebra, geometry, or statistics to solve problems.
4. Estimate and check mathematical results for reasonableness.
5. Recognize the limitations of mathematical and statistical methods.
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