MCCCD Program Description

Algebraic Structures

Course: MAT055

First Term: 2024 Fall

Lecture 1.0 Credit(s) 1.0 Period(s) 1.0 Load
Subject Type: Academic
Load Formula: S - Standard Load

Description: Emphasis on meanings related to variable, equality, inequality, equivalence. The use of additive and multiplicative reasoning in solving linear equations and inequalities in one variable. Validation of solution(s) through a reasonable mathematical defense. Transfer and apply knowledge through a process of sense making and reasonableness in mathematical problems and practical application situations.

MCCCD Official Course Competencies
1. Build a case for algebra based on prior knowledge of number sense. (I, II, III, IV, V) 2. Define Algebra, Variable, Expression, Equality, Inequality, Equivalence. (I, II) 3. Interpret the structure of and evaluate expressions. (I, II) 4. Assign a variable based on reasonableness. (I, II) 5. Apply properties to manipulate expressions. (II, III, IV, V) 6. Create equations or inequalities that describe numbers or relationships. (II, III, IV, V) 7. Use additive and multiplicative identities and properties to solve linear equations and linear inequalities in one variable. (II, III, IV, V) 8. Demonstrate solving is a process of reasoning through the explanation of steps. (III, IV, V) 9. Validate solution(s) through a reasonable mathematical defense. (III, IV, V) 10. Transfer and apply knowledge through a process of sense making and reasonableness in mathematical problems and practical application situations. (III, IV, V)
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. Define A. Algebra B. Variable (unknown/varying) C. Expression D. Equation (equality, equivalence) E. Inequalities II. Expressions A. Properties B. Vocabulary C. Evaluate D. Simplify III. Equations A. Solving B. Validate solution IV. Inequalities A. Solving B. Graph C. Symbolic representation D. Notation (interval, set) V. Practical applications A. Reasonableness B. Sense making

MCCCD Governing Board Approval Date: December 12, 2023

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.