Shop Essentials (Applied Mathematics) Training

Class Information
Shop Essentials (Applied Mathematics) Training Tooling U-SME classes are offered at the beginner, intermediate, and advanced levels. The typical class consists of 12 to 25 lessons and will take approximately one hour to complete.
Class Name:Math: Fundamentals 100
Description:This class explains how to add, subtract, multiply, and divide to solve a problem following the correct order of operations.
Number of Lessons:14
Language:English, Spanish, Chinese
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Class Outline
  • Objectives
  • The Purpose of Math
  • Addition and Subtraction
  • Integers
  • Adding and Subtracting Integers
  • Multiplication
  • Division
  • Powers
  • Roots
  • The Order of Operations
  • Grouping Symbols
  • Order of Operations: An Example
  • Using a Calculator
  • Summary
Class Objectives
  • Describe the importance of mathematics for shop employees.
  • Solve a basic addition problem.
  • Solve a basic subtraction problem.
  • List integers in order from least to greatest.
  • Solve a basic addition problem containing integers.
  • Solve a basic subtraction problem containing integers.
  • Solve a basic multiplication problem containing integers.
  • Solve a basic division problem containing integers.
  • Solve a basic math problem containing exponents.
  • Solve a basic math problem containing roots.
  • List the correct order of mathematical operations.
  • Solve a basic math problem containing grouping symbols.
  • Solve a math problem requiring a sequence of different operations.
  • Identify types of math problems requiring the use of a calculator.

Class Vocabulary

Vocabulary TermDefinition
addition A mathematical operation that unites two separate quantities into one sum. 2 + 2 = 4 is an example of addition.
blueprint The instructions and drawings that are used to manufacture a part.
division A mathematical operation that indicates how many equal quantities add up to a specific number. 8 ÷ 4 = 2 is an example of division.
exponent Another term for a power. The exponent is the smaller number above and to the right of the number being multiplied by itself.
fraction A math expression with two numbers placed above and below a division line indicating the number of divisions or portions and the size of each division or portion.
grouping symbols Mathematical symbols indicating that operations contained within the symbols must be solved before moving on to other operations.
integer Any number included in either the set of whole numbers or their matching negative values. The numbers -3, -2, -1, 0, 1, 2, and 3 are all integers.
mathematics The study of numbers and quantities and their relationships. Mathematics requires an understanding of the logic and rules used to solve numerical problems.
multiplication A mathematical operation that indicates how many times a number is added to itself. 2 x 4 = 8 is an example of multiplication.
order of operations The mathematical rules that determine the correct order for solving any sequence of math operations. Powers and roots are solved before multiplication and division, which in turn are solved before addition and subtraction.
power A mathematical operation indicating how many times a number is multiplied by itself. 23 = 8 is an example of a power.
root A mathematical operation indicating which unknown number, multiplied by itself a specific number of times, equals the number included inside the root sign. The "square root" of 81 equals 9 is an example of a root.
square root The most common root, indicating which unknown number multiplied by itself equals the number inside the square root sign.
subtraction A mathematical operation that takes away a quantity from a larger whole. 4 – 2 = 2 is an example of subtraction.
whole number Any number contained in the sequence 0, 1, 2, 3, and so on.
zero The symbol indicating the absence of a quantity or amount. On a number line, zero indicates the point where negative numbers change into positive numbers.