## MTH 111 - Basic Technical Mathematics at Paul D. Camp 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

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