MTH 212 Fundamentals of Elementary Mathematics 2

The course includes a survey of mathematical topics for those interested in the presentation of mathematics at the K-9 levels. A variety of manipulative and heuristic problem solving strategies are used. Emphasis is on problem solving, rational numbers (as fractions and decimals), irrational and real numbers, proportional reasoning, percent, using elementary algebra (use of variables, equation solving, relations and functions), and an introduction to probability.

Credits

4

Prerequisite

MTH 211 with a C- or better within the past two years

Course Learning Outcomes

Upon successful completion of this course, the student will be able to:
1. Recognize and apply problem solving strategies to solve routine and non-routine problems
2. Recognize and apply strategies for real numbers. Understand and apply definitions, and properties, with fractions, decimals, percent, and integers. Understand and apply algorithms for the operations with real numbers. Understand and apply properties with irrational numbers. Understand and apply strategies for mental math and estimations with rational numbers. Apply a variety of models and examples to illustrate properties and operations of rational numbers. Understand and apply ratios and proportions. Solve problems using proportional reasoning
3. Understand the basics of elementary algebra. Be able to use variables and algebraic expressions to generalize a given pattern. Be able to solve equations. Know the definitions of " relation" and "function". Be able to recognize and work with functions as equations, tables, diagrams and graphs. Use a variety of manipulatives to model concepts
4. Recognize and apply strategies for simple probability. Distinguish and apply concepts of experimental and theoretical probabilities. Explain and apply the properties of probability. Create simulations of experiments to explore sample spaces. Compute probabilities of events using properties and sample spaces. Apply the fundamental counting principle to calculate probabilities. Use the fundamental counting principle with permutations and combinations