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Mathematics and Technical Foundation Skills

**Course #: **186035
**Duration: **5 hours
**What Students Learn: **

**Course #: **Block X21
**Duration: **30 hours
**What Students Learn: **This module of six study units offers the trainee arithmetic and basic mathematics, metric measurement, and calculator fundamentals. The Metric System is an introductory unit which includes metric conversions. Problem exercises and examples in this module are presented in on-the-job scenarios with applications drawn from the industrial context.
**Components:** Addition and Subtraction (186008); Multiplication and Division (186009); Fractions, Percents, Proportions, and Angles (186010); Metric System (186011); Formulas (186012); Introduction to Algebra (186013);
**Special Notes:** This updated course replaces lessons contained within Practical Math and Measurements, Block X01. Each study unit contains a progress examination.

**Course #: **186008
**Duration: **5 hours
**What Students Learn: **

- Define the terms: whole number, numeral, digit, decimal, place value, addend, sum, minuend, subtrahend, and difference.
- Explain the significance of the digit zero in a number.
- Differentiate between concrete and abstract numbers.
- Properly prepare numbers for addition and subtraction.
- Perform addition and subtraction on numbers.
- How to check your answers to both addition and subtraction problems.
- How to use a calculator to add and subtract numbers.

**Course #: **186009
**Duration: **5 hours
**What Students Learn: **

**Course #: **186010
**Duration: **5 hours
**What Students Learn: **

**Course #: **186011
**Duration: **5 hours
**What Students Learn: **

**Course #: **186012
**Duration: **5 hours
**What Students Learn: **

**Course #: **186013
**Duration: **5 hours
**What Students Learn: **

**Course #: **Block X02
**Duration: **72 hours
**Course Prerequisites:** Basic Industrial Math (Block X21); Practical Measurements (Block X22);
**What Students Learn: **This twelve lesson block is for those trainees requiring more advanced math subjects. The subject of algebra is covered in detail and the subjects of geometry and trigonometry are introduced in a practical manner.

Because math skills vary widely, a placement test is available to determine the trainee's specific knowledge of the various areas. Test X0250: Introduction to Algebra, Geometry, and Trigonometry is divided into four sections: lessons X0201 through X0204; lessons X0205 through X0208; lessons X0209 through X0210; and lessons X0211 and X0212.
**Components:** Algebra: Monomials and Polynomials (X0201); Algebra: Factoring (X0202); Algebra: Addition and Subtraction of Fractions (X0203); Algebra: Multiplication and Division of Fractions (X0204); Algebra: Linear Equations (X0205); Algebra: Simultaneous Linear Equations (X0206); Algebra: Determinants (X0207); Algebra: Quadratic Equations (X0208); Algebra: Exponents (X0209); Algebra: Radicals and Imaginary Numbers (X0210); Applied Geometry (X0211); Practical Trigonometry (X0212); Progress Examination Booklet (X0220); Progress Examination (X0221); Progress Examination (X0222); Progress Examination (X0223); Progress Examination (X0224); Placement Test: Introduction to Algebra, Geometry, and Trigonometry (X0250);

**Course #: **X0201
**Duration: **6 hours
**Course Prerequisites:** Basic Industrial Math (Block X21); Practical Measurements (Block X22);
**What Students Learn: **

**Course #: **X0202
**Duration: **6 hours
**Course Prerequisites:** Basic Industrial Math (Block X21); Practical Measurements (Block X22);
**What Students Learn: **

**Course #: **X0203
**Duration: **6 hours
**Course Prerequisites:** Basic Industrial Math (Block X21); Practical Measurements (Block X22);
**What Students Learn: **

**Course #: **X0204
**Duration: **6 hours
**Course Prerequisites:** Basic Industrial Math (Block X21); Practical Measurements (Block X22);
**What Students Learn: **

**Course #: **X0205
**Duration: **6 hours
**Course Prerequisites:** Basic Industrial Math (Block X21); Practical Measurements (Block X22);
**What Students Learn: **

**Course #: **X0206
**Duration: **6 hours
**Course Prerequisites:** Basic Industrial Math (Block X21); Practical Measurements (Block X22);
**What Students Learn: **

**Course #: **X0207
**Duration: **6 hours
**Course Prerequisites:** Basic Industrial Math (Block X21); Practical Measurements (Block X22);
**What Students Learn: **

**Course #: **X0208
**Duration: **6 hours
**Course Prerequisites:** Basic Industrial Math (Block X21); Practical Measurements (Block X22);
**What Students Learn: **

**Course #: **X0209
**Duration: **6 hours
**Course Prerequisites:** Basic Industrial Math (Block X21); Practical Measurements (Block X22);
**What Students Learn: **

**Course #: **X0210
**Duration: **6 hours
**Course Prerequisites:** Basic Industrial Math (Block X21); Practical Measurements (Block X22);
**What Students Learn: **

**Course #: **X0211
**Duration: **6 hours
**Course Prerequisites:** Basic Industrial Math (Block X21); Practical Measurements (Block X22);
**What Students Learn: **

**Course #: **X0212
**Duration: **6 hours
**Course Prerequisites:** Basic Industrial Math (Block X21); Practical Measurements (Block X22);
**What Students Learn: **

**Course #: **5254
**Duration: **10 hours
**Course Prerequisites:** Basic Industrial Math (Block X21); Practical Measurements (Block X22);
**What Students Learn: **Table of Common Logarithms; Table of Useful Numbers; Exponents; Logarithms of Numbers; Determination of Characteristics of a Logarithm; Determination of Mantissa of a Logarithm; Proportional Parts; Determination of Antilogarithms; Multiplication by Use of Logarithms; Division by Use of Logarithms; Finding Powers and Roots by Logarithms; Cologarithms; Hyperbolic Logarithms.

**Course #: **5983A-B
**Duration: **20 hours
**Course Prerequisites:** Introduction to Algebra, Geometry, and Trigonometry (Block X02);
**What Students Learn: **PART 1 (5983A). Points, Lines, Surfaces, and Angles; Perpendicular and Parallel Lines; Triangles; Quadrilaterals; Other Polygons.

PART 2 (5983B). The Circle; Arcs and Areas of Figures Bounded by Them; Solids; Areas and Volumes of Unusual Figures.

**Special Notes:** Covers subject at an advanced, in-depth level.

**Course #: **2309A-B
**Duration: **60 hours
**Course Prerequisites:** Practical Geometry (5983A-B); Introduction to Algebra, Geometry, and Trigonometry (Block X02);
**What Students Learn: **PART 1 (2309A). Solving a Triangle; Deriving Trigonometric Functions; Trigonometric and Geometric Identities; Values for the Trigonometric Functions; Using the Table of Natural Trigonometric Functions; Interpolation; Solving the Right Triangle; Solving the Right Triangle by Using Logarithms.

PART 2 (2309B). Angles and Their Measurement; Degrees and Radians; Rectangular Coordinates; The Trigonometric Formulas; Finding the Values of the Functions of Angles; Reduction Formulas; Solving the Oblique Triangle; Law of Tangents; Using Half-Angle Formulas; Area of a Triangle; Radius of an Inscribed Circle; Radius of a Circumscribed Circle.

**Special Notes:** Covers subject at an advanced, in-depth level.

**Course #: **186001
**Duration: **5 hours
**What Students Learn: **Preview

A thorough knowledge of safe practices is an important part of working in any industrial setting. Every industrial worker should be familiar with accident prevention techniques, fire safety mehods, and the use of personal protective equipment.

Injuries in the workplace cost many millions of dollars in medical costs, lost wages, and production losses each year. Many injuries can be prevented by understanding how accidents and injuries can occur. This study unit is designed to help trainees understand why safety is so important, and to present students with information about safety that goes beyond common sense.

Objectives

When a student completes this study unit, he and she will be able to:

Contents

Introduction; Safety Regulations; Key safety Issues; Protecting Yourself and Your Co-workers.

**Course #: **186002
**Duration: **5 hours
**What Students Learn: **Preview

This study unit deals with the safe use of chemicals in the workplace. The two primary causes of chemical accidents are the misuse of chemicals and the improper disposal of chemical wastes. Understanding the hazards that chemicals can create is the first step in protecting people from harm.

The main goal of this study unit is to provide students with sound, practical knowledge about chemical use and disposal, both in the workplace and at home. You will learn how to recognize common chemical hazards and how to deal with them. Trainees will learn how to perform a job analysis to look for potential chemical dangers in your daily taks. Finally, people will learn how to take precautions to avoid chemical accidents and make all jobs as safe as possible.

Objectives

When a student completes this study unit, he and she will be able to:

Contents

Introduction: Living with Chemicals; Chemical Injuries; Accident Prevention; Handling Hazardous Wastes.

**Course #: **286085
**Duration: **5 hours
**Course Prerequisites:** Trades Safety: Getting Started (186001); Basic Industrial Math (Block X21); Practical Measurements (Block X22);
**What Students Learn: **Preview

The purpose of a preventive maintenance program is to locate possible machine or equipment faults before the machine fails.

Objectives

When a student completes this study unit, he and she will be able to:

Contents

Introduction To Preventive Maintenance; Why Perform Preventive Maintenance?; Scheduling Preventive Maintenance; PM Program Personnel; PM Program Goals; Computerized PM Programs.

**Course #: **286086
**Duration: **5 hours
**Course Prerequisites:** Trades Safety: Getting Started (186001); Basic Industrial Math (Block X21); Practical Measurements (Block X22);
**What Students Learn: **Preview

How to implement a preventive maintenance (PM) program is just as important as the why and when of such a program. It doesn't pay to create a well thought out and scheduled PM program only to have the lubrication, inspection, or repair tasks performed improperly. The objective of this unit is to show you how to perform these tasks safely and properly. This will include showing you typical PM tasks as they are performed on common industrial equipment.

Objectives

When a student completes this study unit, he and she will be able to:

Contents

PM Of Power Transmission Systems; PM Of Electric Motors And Controllers; PM Of Pneumatic Systems; PM Of Conveyors; PM Of Vertical Lifts; PM Of Vacuum And Fluid Pumps; PM Of Electronic Controllers; PM Of Robots.

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