powered by
Center for Curriculum and Transfer Articulation
Introductory Algebra
Course: MAT091

First Term: 2015 Fall
Lecture   4 Credit(s)   4 Period(s)   4 Load  
Subject Type: Academic
Load Formula: S - Standard Load

Description: Linear behavior; linear equations and inequalities in one and two variables; graphs; systems of equations in two variables; function notation, graphs, and data tables; operations on polynomials; properties of exponents; applications.

MCCCD Official Course Competencies
1. Solve linear equations. (I)
2. Graph linear functions given data tables or an equation. (I, II)
3. Determine and interpret the domain and range of a function given its graph. (II)
4. Determine and interpret the slope and intercepts of a linear equation or function. (I, II)
5. Determine and explain the relationship between the slopes of perpendicular and parallel lines. (I, II)
6. Given sufficient information or data, write a linear equation. (I, II)
7. Use function notation to represent and evaluate linear relationships. (II)
8. Solve linear inequalities and graph solutions on the real number line and on the coordinate plane. (I)
9. Solve linear systems in two variables by graphing, substitution, and elimination methods. (I)
10. Simplify polynomial expressions. (III)
11. Perform operations on polynomials (add, subtract, multiply, divide, powers). (III)
12. Model and solve real-world problems using linear equations, proportions and systems of linear equations. (I, II)
13. Explain and practice techniques for coping with math anxiety, including study skills and test-taking strategies. (XI)
MCCCD Official Course Outline
I. Linear Behavior
   A. Equations
   B. Proportions
   C. Inequalities in one and two variables
   D. Graphs
   E. Systems in two variables
   F. Applications
II. Functions
   A. Notation
   B. Graphs
   C. Data tables
III. Polynomials
   A. Operations
   B. Exponent properties
   B. Algebraic operations of polynomials
IV. Factoring Polynomials
   A. Factoring polynomials: monomial factors
   B. Factoring polynomials: factoring by grouping
   C. Factoring trinomials
   D. Factoring: special cases
   E. Solving equations
V. Fractions of Algebra
   A. Simplify rational expressions
   B. Algebraic operations of rational expressions
   C. Solve equations and applied problems
VI. Linear Equations in Two Variables
   A. Graph linear equations
      1. Use intercepts
      2. Use slope/intercept
   B. Solve systems of linear equations
      1. Graphically
      2. Addition/elimination
      3. Substitution
   C. Solve applied problems
VII. Radical Expressions
   A. Define
   B. Simplify numerical and variable radical expressions
VIII. What is Math Anxiety?
   A. The physiology of anxiety
   B. Relationship of anxiety to cognitive processes
   C. Disabling effects of math anxiety
IX. What Causes Math Anxiety?
   A. Math myths
   B. Former experiences with math
   C. Self-defeating beliefs
   D. Self-fulfilling prophecies
X. How Does Math Anxiety Limit People?
   A. Career choices
   B. Analysis of mathematical requirements of students` career choices
   C. Long-term effects of math avoidance on academic and career choices
XI. How Do People Overcome Math Anxiety?
   A. Interaction of cognitive processes and emotion
   B. Self-talk exercise
   C. Relaxation and desensitization
   D. Study skills
   E. Test-taking strategies
MCCCD Governing Board Approval Date: May 26, 2015

All information published is subject to change without notice. Every effort has been made to ensure the accuracy of information presented, but based on the dynamic nature of the curricular process, course and program information is subject to change in order to reflect the most current information available.