Course Overview

Course Description

This course introduces the concepts of ratio and proportion, units and conversions, linear equations in two variables, inequalities, graphing and writing equations of a line, percents, interest, descriptive statistics, and logical symbolism. Emphasis is placed on applications in various technologies.

• Ratio and Proportion: Understanding relationships between quantities.

• Units and Conversions: Converting between different measurement systems.

• Linear Equations: Solving and graphing equations in two variables.

• Inequalities: Solving and interpreting inequalities.

• Percents and Interest: Calculating percentages and simple/compound interest.

• Descriptive Statistics: Summarizing and interpreting data.

• Logical Symbolism: Using logic and symbols to represent mathematical statements.

Prerequisite: Placement as determined by KCTCS placement examination.

Course Competencies / Student Learning Outcomes

Upon completion of this course, students will be able to:

• Interpret and communicate mathematical and/or statistical information verbally, numerically, and graphically.

• Determine when computations are needed and execute appropriate calculations.

• Apply an appropriate model to solve problems.

• Make inferences, evaluate assumptions, and assess limitations in estimation, modeling, and/or statistical analysis.

• Graph linear equations in two variables and interpret their solutions.

• Use logic to determine the validity of arguments.

• Apply mathematical reasoning to solve real-world problems.

Textbook and Supplies

• Textbook: MyMathLab Student Access Kit ISBN 13: 8220108823246

• Calculator: TI-30XIIS (scientific calculator recommended). No graphing calculators allowed.

• Other Supplies: Windows-based computer, 3-ring binder.

Course Structure, Evaluation, and Grading Methods

Grading Components

• Exams: Four unit exams (proctored) and one comprehensive final exam (proctored).

• Quizzes: Weekly quizzes based on homework and class material.

• Homework: Regular assignments to reinforce learning.

• Discussion/Class Participation: Engagement in class discussions, assignments, and communication.

Grading Scale

Key Mathematical Topics

Ratio and Proportion

Ratios compare two quantities, while proportions state that two ratios are equal.

• Definition: A ratio is a comparison of two numbers by division.

• Proportion: An equation stating that two ratios are equal.

• Formula:

• Example: If , then the proportion is true.

Units and Conversions

Converting between units is essential for solving real-world problems.

• Definition: Changing a measurement from one unit to another.

• Method: Use conversion factors to multiply and change units.

• Example: Convert 5 feet to inches: inches.

Linear Equations in Two Variables

Linear equations describe straight lines and are fundamental in algebra.

• Standard Form:

• Slope-Intercept Form:

• Graphing: Plot points and draw the line through them.

• Example: has slope 2 and y-intercept 3.

Inequalities

Inequalities express relationships where quantities are not equal.

• Definition: Statements using <, >, ≤, or ≥.

• Solving: Similar to equations, but reverse the inequality when multiplying/dividing by a negative.

• Example: Solve ; ; .

Percents and Interest

Percents are used to describe parts of a whole; interest calculations are common in finance.

• Percent Formula:

• Simple Interest: where is interest, is principal, is rate, is time.

• Example: , , years;

Descriptive Statistics

Descriptive statistics summarize and describe data sets.

• Mean:

• Median: Middle value when data is ordered.

• Mode: Most frequently occurring value.

• Example: Data: 2, 4, 4, 5, 7. Mean =

Logical Symbolism

Logic is used to determine the validity of mathematical arguments.

• Symbols: (and), (or), (not), (implies)

• Example: If is "It is raining" and is "I have an umbrella", means "If it is raining, then I have an umbrella."

Course Schedule (Tentative)

• Chapters/Sections: 3.1-3.3, 5.1-5.2, 5.3, 5.5, 5.6, 6.1-6.8, 7.1 and 7.2, Chapter 8, Chapter 11, 13.1, 13.4-13.7

• Sections may be omitted or added as needed.

Class Policies and Procedures

• Academic Honesty: Cheating and plagiarism are strictly prohibited.

• Attendance: Participation in assignments and quizzes is required to avoid being reported as a no-show.

• Makeup Policy: No makeup or redo tokens can be used once proctored exams open.

• Communication: Timely response to emails and phone calls is expected.

Additional Info

• Students must activate MyMathLab by the specified date and use a valid email address.

• Temporary access is available for students without financial aid yet.

• Homework must be completed before quizzes can be taken.

• Discussion and class participation are important for success in the course.