MATH 98 Foundations of Algebra

Foundations of algebra, including: generalizing patterns; multiple representations of algebraic objects (formulas, graphs, tables, and contextual descriptions); negative numbers; linear equations, inequalities and their graphs. Emphasis is on conceptual understanding, algebra applied to geometry, and communication. Patterns are drawn from a variety of sources, including cultural practices: beading, weaving, etc. Prerequisite MATH 070 or placement test. (N)

Credits

5

Outcomes

1. Make mathematical conclusions based on pertinent information and interpret them in context.
2. Use multiple representations (graphical, algebraic, geometric, contextual) of expressions, equations, and inequalities.
3. Carry out operations with positive and negative numbers.
4. Solve linear equations and inequalities; define and demonstrate what it means for a number to be a solution to a linear equation or inequality.
5. Define, identify, and give examples of equivalent expressions.
6. Simplify, add, subtract and multiply polynomials.
7. Evaluate expressions, formulas, equations and inequalities using the order of operations.
8. Apply the rules of integer exponents.
9. Plot points on a rectangular coordinate plane, and estimate the coordinates of given points.
10. Convert among the various representations of linear change (graphs, formulas, tables, context-based)