## MTH 111 - Basic Technical Mathematics at Virginia Highlands Community College

### Course Description

Effective: 2017-08-01

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.

3 credits

### 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

Prerequisites: MTE 1-3 Prereq OR Corequisite: MCR 1.

### Course Objectives

- 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