MATH 088 Prep for Intermediate Algebra & College Math (5 credits)
Prerequisite Completion of Math Guided Self-Placement (GSP)
Course Description
This course provides students with the mathematical foundation necessary for success in MATH 98 and/or introductory college-level and subsequent math courses. Topics range from real number operations to algebraic equations, with a focus on developing mathematical thinking, improving skills and conceptual understanding, increasing motivation and building confidence to learn further mathematics.
Course Content
A. Essential Math Foundations
Integers
Integer operations
Fraction constructs (fractions as parts of a whole, as division, as ratios)
Comparing fractions & equivalent fractions
Fraction operations
Fractions, decimals and percents
B. Algebraic Thinking
Patterns & rules
Variables
Relational thinking
Symbolic representation of mathematical ideas
C. Algebraic Expressions and Linear Equations
Simplifying algebraic expressions
Evaluating algebraic expressions
Solving linear equations and in one variable
Solving applied linear equations
Solving linear inequalities in one variable
D. Linear Equations in Two Variables
Understanding the Cartesian System and plotting points
Graphing linear equations
Forms of linear equations
Intercepts, horizontal and vertical lines
The slope of the line
Parallel and perpendicular lines
E. Exponents
Exponential notation
Properties of exponents
Scientific notation
F. Applied Topics
Geometry & measurement
Dimensional analysis
Formulas
Data analysis (mean, median, mode)
G. Additional Skills
Math study skills
Reading math
Using your calculator
Problem-solving strategies
Taking math tests and overcoming math anxiety
Student Outcomes
Students will be able to:
- communicate mathematical ideas using everyday language, appropriate mathematical vocabulary, and notation.
- represent mathematical relationships, patterns and models with words, pictures, symbols, expressions, equations and/or graphs.
- apply properties of real numbers, arithmetic operations and algebraic rules to manipulate algebraic expressions and solve algebraic equations.
- analyze mathematical problems, devise plans to solve them, implement the plans, and evaluate the reasonableness of the results.
- apply appropriate mathematical skills (e.g. computation, use of mathematical symbols, using formulas, equations and algorithms, creating and analyzing graphical representations) to draw logical conclusions, solve real-world problems, and justify solution processes.
- use technology to understand, solve and generalize problems.
Degree Outcomes
Quantitative & Symbolic Reasoning: Graduates utilize mathematical, symbolic, logical, graphical, geometric, or statistical analysis for the interpretation and solution of problems in the natural world and human society.
Critical, Creative and Reflective Thinking: Graduates will evaluate, analyze, synthesize, and generate ideas; construct informed, meaningful, and justifiable conclusions; and process feelings, beliefs, biases, strengths, and weaknesses as they relate to their thinking, decisions, and creations.
Lecture Contact Hours 50
Lab Contact Hours 0
Clinical Contact Hours 0
Total Contact Hours 50
Potential Methods
1. TEST - multiple choice, true/false, computational, matching, or short written answers.
2. WRITING ASSIGNMENT - journal, outline, narrative explanation, essay, notebook, portfolio, or projects.
3. GROUP WORK - written group project, group written solution to problems, group assignment, group presentation, group oral solution to problems, or group discussion.
4. INDIVIDUAL WORK - individual presentation, individual written solution to problems, or individual oral solution to problems.
5. INFORMAL ASSESSMENT - self-evaluation, peer evaluation, or teacher observation.
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