MCCCD Program Description

College Algebra Prep

Course: MAT114

First Term: 2020 Summer

Lecture 4.0 Credit(s) 4.0 Period(s) 4.0 Load
Subject Type: Academic
Load Formula: S- Standard

Description: Proper use of function notation, average rate of change of functions, and evaluating arithmetic and algebraic expressions. Analysis of linear and quadratic equations, and their applications; graphs of linear and quadratic functions; operations on polynomial expressions.

MCCCD Official Course Competencies
1. Perform operations to evaluate expressions that include integers, fractions, decimals, exponents, and radicals, including the order of operations. (I-V) 2. Evaluate arithmetic and algebraic expressions. (I, II) 3. Simplify expressions involving integer and rational exponents. (II) 4. Perform operations on polynomial expressions. (II) 5. Write polynomials in factored form. (II) 6. Graph and determine domain, range, and other key characteristics of functions, including linear and quadratic functions. (III, IV, V) 7. Demonstrate the proper use of function notation. (III, IV, V) 8. Determine and interpret the average rate of change of linear and quadratic functions. (III, IV) 9. Solve linear and quadratic equations (including those with complex solutions) using multiple methods and represent solutions exactly and approximately. (IV, V) 10. Solve linear inequalities in one variable and represent solutions graphically, algebraically, and in interval notation. (IV) 11. Model, analyze and interpret real-world problems using linear and quadratic functions. (IV, V) 12. Given sufficient information or data, write a linear equation. (IV) 13. Solve systems of linear equations in two variables. (IV)
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. Operations on numbers A. Integers B. Fractions C. Decimals D. Exponents and radicals E. Order of operations II. Operations on polynomials A. Evaluate expressions B. Apply rules of exponents (power, product, quotient, negative and rational exponents) C. Add, subtract, and multiply polynomials D. Write polynomials in factored form III. Functions A. Function definition B. Function notation C. Domain and range D. Evaluate functions represented numerically, graphically, and algebraically E. Average rate of change F. Applications IV. Linear behavior A. Solve equations B. Solve inequalities in one variable C. Key characteristics of functions, when applicable, include intercepts, domain and range,increasing/decreasing, and extrema D. Rate of change E. Build equations and functions F. Graph G. Applications H. Solve linear systems of two equations V. Quadratic behavior A. Introduction of radicals and imaginary numbers B. Solve quadratic equations using multiple methods 1. Square root method 2. Factoring 3. Quadratic formula 4. Graphing C. Key characteristics of functions, when applicable, include intercepts, domain and range,increasing/decreasing, and extrema D. Graph E. Applications

MCCCD Governing Board Approval Date: November 26, 2019

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.