Course Content and Outcomes Guides (CCOG)

CCOG for APR 162 archive revision 202704

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Effective Term:
Fall 2027

Course Number:
APR 162
Course Title:
Calculations for the Trades
Credit Hours:
4
Lecture Hours:
40
Lecture/Lab Hours:
0
Lab Hours:
0

Course Description

Covers measurements and calculations used in industrial and commercial facilities settings. Includes linear and volume measurement methods using analog and digital tools and instruments including rulers, calipers, micrometers, and dial indicators. Focuses on the use of fractions, decimals, powers, roots, algebraic equations, geometry, and right angle trigonometry to perform calculations for equipment repair, maintenance, installation, and operation. Audit available.

Addendum to Course Description

Required course for Apprentices registered in the Millwright/Industrial Maintenance Technician Apprenticeship Program. It is open to any other student but requires Department Permission to take this course.

Intended Outcomes for the course

Upon completion of the course students should be able to:

  • Obtain and record measurements in facilities and industrial settings using a variety of measuring instruments in order to repair, maintain, install and operate mechanical equipment.
  • Calculate areas, volumes, lengths, angles, speeds, velocities, pressures, temperatures, volts, amps, ohms, and watts in facilities and industrial settings in order to repair, maintain, install, and operate mechanical equipment.
  • *Calculate elementary algebraic equations and formulas (*required statewide outcome).
  • *Apply appropriate formulas to mathematical situations (*required statewide outcome).

Course Activities and Design

The course design is primarily lecture, with emphasis on measurements and calculations that apply to real-world scenarios in Construction, Facilities, Industrial, and/or Manufacturing settings.

Course activities include:

  • Calculating areas and volumes
  • Calculating speed and velocity
  • Calculating pressures and temperatures and their relationship
  • Ohm's Law calculations
  • Using a hand-held calculator
  • Using calculations in real-world tasks

Outcome Assessment Strategies

Exams, Homework, Quizzes, Attendance, and/or hands-on activities.

Course Content (Themes, Concepts, Issues and Skills)

THEMES:
  • Algebraic manipulation
  • Graphical understanding
  • Problem solving
  • Applications, formulas, and modeling
SKILLS:
  1. Basic Concepts                                     
    1. Order of Operations  
    2. Perimeter and Area  
    3. Fractions  
    4.  Decimals    
    5. Rounding Numbers 
    6. Percent
    7. Powers and Roots
  2. Signed Numbers and Powers of 10
    1. Addition, Subtraction, Multiplication, and Division of Signed Numbers              
    2. Powers of 10                            
    3. Scientific Notation 
  3. MEASUREMENT    
    1. The U.S. Measurement System
    2. The Metric System
    3. Unit Conversions
    4. Addition, Subtraction, Multiplication, and Division of Measurements        
  4. BASIC STATISTICS
    1. Bar, Circle, and Line Graphs
    2. Mean, Mode, and Median
  5. INTRODUCTION TO ALGEBRA
    1. Variables, Terms, and Expressions
    2. Addition, Subtraction, Multiplication, and Division of Monomials  
    3. Addition, Subtraction, Multiplication, and Division of Polynomials   
    4. Division by a Monomial 
  6. EQUATIONS AND FORMULAS
    1. Equations  
    2. Applications Involving Equations       
    3. Formulas
    4. Ohm's Law
  7. RATIO AND PROPORTION
    1. Ratio   
    2. Proportion      
    3. Direct Variation          
    4. Inverse Variation
  8. GRAPHING LINEAR EQUATIONS
    1. Graphing Linear Equations 
    2. The Slope of a Line             
    3. The Equation of a Line
  9. GEOMETRY
    1. Angles and Polygons                      
    2. Quadrilaterals                               
    3. Triangles                                        
    4. Similar Polygons                            
    5. Circles                         
    6. Prisms                                            
    7. Cylinders                                       
    8. Pyramids and Cones                      
    9. Spheres
  10. RIGHT TRIANGLE TRIGONOMETRY
    1. Trigonometric Ratios                   
    2. Finding Angles                                                 
    3.  Sides                                                 
    4. Solving Right Triangles
    5. Applications Involving Trigonometric Ratios
  11. SUGGESTED OPTIONAL CONTENT
    1. MEASUREMENT
      1. Use of the Vernier micrometer
      2. Use of the Caliper
      3. Care of measuring instruments
      4. The Vernier Caliper  
      5. The Micrometer Caliper
      6. Reciprocal Formulas Using a Calculator
      7. Relative Error and Percent of Error    
    2.  SYSTEM OF LINEAR EQUATIONS
      1. Pairs of Linear Equations by Graphing          
      2. Solving Solving Pairs of Linear Equations by Addition           
      3. Solving Pairs of Linear Equations by Substitution      
      4. Applications Involving Pairs of Linear Equations
    3.  FACTORING ALGEBRAIC EXPRESSIONS
      1. Monomial Factors
      2. Finding the Product of Two Binomials Mentally (FOIL)
      3. Finding Binomial Factors
    4. QUADRATIC EQUATIONS
      1. Solving The Quadratic Formula   
      2. Graphs of Quadratic Equations
    5. TRIGONOMETRY
      1. Sine and Cosine Graphs                 
      2. Period and Phase Shift                  
      3. The Law of Sines                                                 
      4. The Law of Cosines​