Revised 8/2021

MTH 111 - Basic Technical Mathematics (3 CR.)

Course Description

Provides a foundation in mathematics with emphasis in arithmetic, unit conversion, basic algebra, geometry and trigonometry. This course is intended for CTE programs. Lecture 3 hours. Total 3 hours per week.

General Course Purpose

This course is intended for students who are in career and technical fields/degree programs requiring technical math components including trigonometry.

Course Prerequisites/Corequisites

Prerequisite: At least one of MTE units 1 – 3; MDE 10; or other placement methods.

Course Objectives

Upon completing the course, the student will be able to:

  • Communication
    • Interpret and communicate quantitative information and mathematical and statistical concepts using language appropriate to the context and intended audience.
  • Problem Solving
    • Make sense of problems, develop strategies to find solutions, and persevere in solving them
  • Reasoning
    • Reason and draw conclusions or make decisions with quantitative information.
  • Evaluation
    • Critique and evaluate quantitative arguments that utilize mathematical, statistical, and quantitative information.
  • Technology
    • Use appropriate technology in a given context.
  • Students will engage in all course content described below in context to the technical fields being supported.
  • Basic Skills
    • Use a scientific calculator.
    • Round-off numbers correctly.
    • Identify significant digits.
    • Use scientific notation
    • Convert between units in both standard and metric
    • Perform operations with signed numbers
  • Basic Algebra
    • Apply and interpret ratios and proportions
    • Compute values in direct, indirect and inverse variation
    • Solve single variable equations
    • Locate and plot points on the xy plane
    • Interpret the concept of slope using real world examples (including vertical and horizontal lines)
    • Graph lines using a table of values with and without the domain provided
    • Graph lines using the slope-intercept method when lines are in y=mx+b form and Ax+By=C form
    • Write the equation of a line in slope-intercept form that models a real world situation when given the rate of change and initial value
    • Make predictions using the equation of a line
  • Geometry
    • Classify triangles by their sides/angles.
    • Calculate the perimeter and circumference
    • Calculate the area of a polygon and circle
    • Apply concepts of sector and arc length of a circle
    • Recognize various geometric solids such as cylinder, cone, pyramid, prism and sphere.
    • Calculate surface area and volume of various geometric solids
    • Use the properties of inscribed and circumscribed polygons and circles to find unknown amounts
    • Apply the concept of similar triangles
    • Apply the Pythagorean theorem
    • Convert between decimal degrees and DMS notation.
    • Interpret and apply line and angle relationships.
  • Trigonometry
    • Properly use terms related to an angle(s).
    • Define the trigonometric functions and their values
    • Solve right triangles and their applications
    • Identify the signs of the trigonometric function of angles greater than 90?
    • Determine trigonometric functions of any angle

Major Topics to Be Included

  • Basic Skills
  • Basic Algebra
  • Geometry
  • Trigonometry