Study Guide: Developmental Mathematics (Beginning and Intermediate Algebra)

Course Overview

This course, Developmental Mathematics (Math 0421), is designed to support students in developing the skills, strategies, and reasoning needed for success in mathematics. The curriculum covers foundational topics in beginning and intermediate algebra, including numeracy, real numbers, algebraic operations, notation, mathematical models, and problem solving. The course prepares students for further study in mathematics and related fields.

Course Learning Outcomes

• Use appropriate symbolic notation and vocabulary to communicate, interpret, and explain mathematical concepts.

• Define, represent, and perform operations on real numbers, applying numeric reasoning to investigate and describe quantitative relationships and solve real-world problems in various contexts.

• Apply algebraic reasoning to solve problems involving ratios, rates, percentages, and proportions using multiple representations.

• Manipulate expressions and equations to solve real-world problems.

• Use graphs, tables, and technology to analyze, interpret, and compare data sets. Construct and use mathematical models in verbal, algebraic, graphical, and tabular form to solve problems and make predictions and decisions.

Core Topics and Subject Matter Outline

• Section 1-8: Exponents and Order of Operations

• Chapter 2: Linear Equations and Inequalities in One Variable

• Chapter 3: Linear Equations in Two Variables

• Chapter 5: Exponents and Polynomials

• Chapter 6: Factoring Polynomials

Additional info: These topics align with the standard curriculum for beginning and intermediate algebra, covering essential algebraic concepts and skills.

Key Mathematical Skills Developed

• Numeracy and Real Number System: Understanding and performing operations with real numbers, including integers, fractions, and decimals.

• Algebraic Operations: Manipulating algebraic expressions, solving equations and inequalities, and applying properties of exponents and polynomials.

• Mathematical Models: Translating real-world situations into mathematical language and models for analysis and problem solving.

• Quantitative Reasoning: Using ratios, rates, percentages, and proportions to interpret and solve problems.

• Graphical Analysis: Interpreting and constructing graphs and tables to represent mathematical relationships.

Evaluation Methods and Grading

Student performance is assessed using a combination of homework, quizzes, tests, and a final exam. The grading breakdown is as follows:

Component	Weight
Homework	10%
Quizzes (Practice Exams)	10%
Tests (Regular Exams)	30%
Final Exam (Major Assignment)	50%

The grading scale is as follows:

Score	Grade
90-100	A
89-80	B
79-70	C
69 or below	F

Required Materials

• Textbook: Introductory and Intermediate Algebra for College Students, Author: Blitzer, Publisher: Pearson

• Calculator: TI-30X IIS scientific calculator (no higher calculator allowed)

• Internet Access: Required for course participation and assessments

Student Support and Resources

• Tutoring Services: Academic support, individual and group tutoring, and online tutoring are available to all students.

• Library Resources: Access to the Grady C. Hogue Learning Resource Center and other campus libraries for research and study support.

• Technology Requirements: Students must have access to a desktop or laptop computer with webcam and microphone for online assessments and proctoring.

General Education Competencies Addressed

• Critical Thinking Skills

• Communication Skills

• Empirical/Quantitative Skills

• Science & Technology Literacy

• Analytical Reasoning

Course Policies and Additional Information

• Attendance: Refer to instructor policies and college guidelines for attendance requirements.

• ADA Statement: Students with disabilities may request accommodations through the college's disability services office.

• Academic Integrity: Students are expected to adhere to the college's policies on academic honesty and intellectual property.

• Contact Information: Support is available through the IT Help Desk and campus resources.

Summary Table: Course Structure and Requirements

Topic	Description
Variables, Real Numbers, Mathematical Models	Understanding and using variables, real numbers, and mathematical models to represent and solve problems.
Linear Equations and Inequalities	Solving and graphing linear equations and inequalities in one and two variables.
Exponents and Polynomials	Applying the laws of exponents and performing operations with polynomials.
Factoring Polynomials	Factoring polynomials using various methods such as greatest common factor, grouping, and special products.

Additional info: This summary table aligns with the course subject matter outline and provides a quick reference for the main algebraic topics covered in the course.