CHAPTER 14
SHOP MATHEMATICS
LEARNING OBJECTIVES
Upon completion of this chapter, you will be able to do the following:
Identify the fundamentals of the four branches of mathematics, and describe
how they are related to the Hull Technician rating.
Describe the method of geometric construction.
Describe the methods of construction for several plane figures.
Determine the areas and volumes of geometric shapes and figures.
Describe the metric system, and convert the English system to the metric
system.
FUNDAMENTALS OF MATHEMATICS
INTRODUCTION
The basics of mathematics remain the same no
Mathematics is as important a tool for you to
matter what the field. Mathematics is divided into
use as a Hull Technician as are manual skills and
several different branches. You will be concerned
good tools. It is a universal language that lets you
with arithmetic, algebra, geometry, and
understand measurements and values written in any
trigonometry.
language. HTs are constantly working with
measurements and calculating weights and quantities
Arithmetic deals with the manipulation of
of materials. HTs develop geometric outlines. This
numbers, using addition, subtraction, multiplication,
chapter is not a complete text in ship mathematics.
and division.
Instead, it is a review of the basic mathematical
knowledge you will need as a Hull Technician.
Algebra uses letters and symbols in place of
numbers and values. These letters and symbols
Tables of weights, measures, and equivalents are
c o n s t r u c t equations that follow established
useful references when you are solving mathematical
mathematic rules.
problems. This chapter contains a number of tables
that you will use frequently.
Geometry investigates the relationships,
properties, and measurements of solids, plane
If you desire further study of mathematics, you
surfaces, lines, angles, graphs, and other geometric
should request the following manuals through your
characteristics.
educational services office:
Trigonometry investigates the properties of
Mathematics, Volume 1, NAVEDTRA 10069-D1
triangles and of trigonometric functions and their
applications.
Mathematics,
Volume
2-A,
NAVEDTRA
10062-B
COMMON FRACTIONS
Mathematics, Volume 2-B, NAVEDTRA 10063
Common fractions are often used in sheet metal
layout, woodworking, piping repairs, and structural
Mathematics, Volume 3, NAVEDTRA 10073-A1
repairs. Most of your measuring devices, such as
the shrink rule, are divided into common fractional
increments.
14-1
