Course Content and Outcomes Guides (CCOG)

CCOG for APR 130M Winter 2025


Course Number:
APR 130M
Course Title:
Machine Shop Trigonometry
Credit Hours:
2.5
Lecture Hours:
0
Lecture/Lab Hours:
50
Lab Hours:
0

Course Description

Introduces the rules, methods, and procedures for using trigonometry formulas that deal with the sides and the angles of right and oblique triangles to solve for the unknown parts. This course is also offered as MCH 130; a student who enrolls in this course a second time under either designator will be subject to the course repeat policy. Prerequisites/concurrent: APR 100M or MCH 100. Audit available.

Addendum to Course Description

Text:

Mathematics for Machine Technology by Smith, published by Delmar, 6e Edition, ISBN: 1-428-33656-7

Intended Outcomes for the course

Upon completion of the course students should be able to:

  1. Use sine, cosine, tangent, and other functions to determine coordinates of a part to be machined.
  2. Communicate technical information to co-workers, clients, and/or engineers.

Course Activities and Design

APR 130M will be presented by means of audio-visual presentations, demonstrations, lab experiences, and research activities. The course activities and design emphasize the development of skills and knowledge outcomes prescribed by established industry standards. The identified outcomes will be achieved by means of individual and team activities.  

Outcome Assessment Strategies

The final grade will be calculated from the average of a mid-term and a final exam.  The two exams present questions based on the exercises assigned in the class.

Course Content (Themes, Concepts, Issues and Skills)

Machine Shop Math / Trigonometry consists of the following modules:
Module 1 – Fundamentals of Plane Geometry – Plane Geometry is the branch of mathematics that deals with points, lines, and various figures that are made of combinations of points and lines.

Module 2 – Applying Shop Trigonometry - Most of the trigonometric relationships used by machinists are based on the right triangle. The right triangle formulas we used previously dealt with the length of the sides only. Trigonometry formulas deal with both the sides and the angles.

Related Instruction

Computation
Hours: 65

Use sine, cosine, tangents, and functions to determine coordinates of a part to be machined.
 

Through direct instruction students practice

  • Right triangle trig using Pythagorean theorem, Sin, Cosine, and Tangent functions.
  • Some obtuse and acute triangle trig using the law of sins.
  • Students are given blue prints of machine parts that require the use of trigonometry to determine bolt hole patterns and how to locate x and y coordinates.

Communication
Hours: 10

Communicate technical information to co-workers, clients, and or engineers.

  • Technical communication skills are practiced as students need to communicate industry specific questions related to higher level math.
  • Students learn to ask specific questions related to their current problem by defining the case and what they need to complete the issue at hand.