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Center for Curriculum and Transfer Articulation
Developmental Algebra
Course: MAT090

First Term: 2015 Fall
Lecture   5 Credit(s)   5 Period(s)   5 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)
MCCCD Official Course Competencies must be coordinated with the content outline so that each major point in the outline serves one or more competencies. MCCCD faculty retains authority in determining the pedagogical approach, methodology, content sequencing, and assessment metrics for student work. Please see individual course syllabi for additional information, including specific course requirements.
 
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
   D. Applications of linear equations
   E. Formulas
   F. Ratio and proportion
   G. Applications of percent
      1. Mixture
      2. Interest
      3. Money
   H. Further word problems (optional)
   I. Addition and multiplication properties of inequality
III. Polynomials
   A. Working with polynomials
   B. Exponents
   C. Multiplication of polynomials
   D. Special products
   E. Quotient rule and integer exponents
   F. The quotient of a polynomial and a monomial
   G. The quotient of two polynomials
   H. Scientific notation
IV. Factoring
   A. Greatest common factor
   B. Factoring trinomials
   C. Special factorization
   D. Solving quadratic equations
   E. Applications of quadratic equations
   F. Solving quadratic inequalities (optional)
V. Rational expressions
   A. The fundamental property of rational expressions
   B. Multiplication and division of rational expressions
   C. The least common denominator
   D. Addition and subtraction of rational expressions
   E. Complex fractions (optional)
   F. Equations involving rational expressions
   G. Applications of rational expressions
VI. Graphing
   A. Linear equations in two variables
   B. Graphing linear equations
VII. Systems of equations
   A. Solving systems of linear equations by graphing
   B. Solving systems by addition (optional)
 
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.