Basic Shop Math
This self-paced online course teaches students the fundamental math functions used in manufacturing. The course covers fractions and decimals, basic triangle and geometry and an introduction to trigonometry.
Module 1.1 - Introduction to Shop Math
Basic Shop Math Topics
Why Learn Math?
Course Purpose
Getting The Most Out of This Course
Online Learning Strategies
Module 2.1 - Calculator Operations
Calculator Operations
Developing Desirable Work Habits
Calculator Use
Calculator Keys and Functions
Order of Operations
Order of Operations Rules
Pemdas Example
PEMDAS Quiz
Addition Example
Addition Quiz
Subtraction Example
Subtraction Quiz
Multiplication Example
Multiplication Quiz
Division Example
Division Quiz
Arithmetic Story Problem Example
Story Problem Quiz
Module 2.2 - Rounding Off
Significant Figures
MSD and LSD
Importance of MSD and LSD
Rounding Off
Precision of Rounding Off
Rounding Example
Rounding Quiz
Arithmetic Summary
Module 3.1 Introduction to Fractions
Fractions Objectives
Defining Fractions
Common Fractions
Lowest Terms Example
Lowest form Quiz
Reducing Common Fractions
Calculator Operations: Reducing a Fraction to Lowest Terms
Reducing Improper Fractions
Reducing Improper Fractions Example
Improper Fractions to Mixed Numbers Quiz
Module 3.2 - Addition of Fractions
Changing the Form of Fractions
Addition of Fractions
Least Common Denominator
Simplifying Fractions
Manual Calculations: Cross Multiplication
Calculator Operations In Place of Cross Multiplication
Adding Whole Numbers, Common Fractions and Mixed Numbers
Calculator Entry of Fractions Example
Calculator Operations - Adding Whole Numbers, Common Fractions and Mixed Numbers
Adding Fractions Example
Adding Fractions Quiz
Module 3.3 - Subtraction of Fractions
Subtraction of Fractions
Manual Operation: Cross Multiplication
Subtraction of Fractions - Calculator Operations
Subtracting Fractions - Mixed and Whole Numbers
Subtraction of Fractions Example
Subtraction of Fractions Quiz
Module 3.4- Multiplication of Fractions
Multiplication of Fractions
Calculator Operations - Multiplication of Fractions
Multiplication of Fractions Example
Multiplication of Fractions - Quiz
Module 3.5 - Division of Fractions
Division of Fractions
Division of Fractions - Manual Operation
Division of Fractions - Calculator Operation
Division of Fractions Example
Division of Fractions Quiz
Calculator Operations: Fraction to Decimal Conversion
Fraction to Decimal Example
Module 3.6 - Reading a Fractional Scale
Reading a Fractional Scale
Reading a Fractional Scale Example
Fractional Scale Quiz
Fractions Story Problem Example
Story Problem Quiz
Module 4.1 - Decimal Tolerances
Decimal Objectives
Decimal Principles
Decimal Principles - Tolerances
Dimensional Stackups
Tolerances Example
Tolerances Quiz
Four Place Decimals - "Tenths of a Thou"
Tenths of a Thou Quiz
Center-to-Center Example
Center-to-Center Distance Quiz
Module 4.2 - Applied Decimals
Radius and Diameter Example
Radius and Diameter Quiz
Decimal Story Problem Quiz
Module 5.1 - Types of Graphs
Module Objectives
Graphs and Statistics Introduction
Types of Graphs
Scatter Plots
Line Graphs
Bar Graph
Pie Charts
Graphs Example
Types of Graphs Quiz
Module 5.2 - Measures of Central Tendency
Mean, Median, Mode and Range
Mean
Median
Mode
Range
Mean, Median, Mode and Range Example
Measures of Central Tendency Quiz
Module 6.1 - Signed Numbers
Module Description
Module Objectives
Signed Numbers
Absolute Value
Equations
Algebraic Multiplication of Numbers or Letters
Multiplication of Like Factors With Exponents
Rules for Multiplying Like Factors
Exponents Used With Numerical Values
Rules for Using Exponents
Operations With Signed Numbers
Operations With Signed Number Examples
Signed Numbers Practice
Operations with Signed Numbers
Signed Numbers Example
Signed Numbers and Exponents Quiz
Module 6.2 - Parentheses
Use of Parentheses
Rules of Parentheses
Rules of Solving Equations
Solving Algebraic Equations
Parentheses Example
Rules of Parentheses Quiz
Module 6.3 - Algebraic Word Problems
Algebraic Word Problems
Steps for Solving Algebraic Word Problems
Tank Algebra Story Problem Example
Solving Algebraic Word Problem Example 1 - Tank Problem Setup
Solving Algebraic Word Problem Example 2 - Plant Age Setup
Solving Algebraic Word Problems Quiz
6.4 - Shop Formulas
Creating Shop Formulas
Creating Shop Formulas Example
Shop Formula Example
Shop Formulas Quiz
Combined Algebra Quiz
Module 7.1 - Ratios
Module Description
Module Objectives
Ratio
Order of Terms
Ratios Example
Ratio Quiz
Module 7.2 - Proportions
Proportion
Direct Proportion
Indirect Proportion
Proportion Example
Proportions Quiz
Module 7.3 - Percentage
Percent
Changing Percent to Decimal
Changing Decimal to Percent
Percentage Quiz
Module 7.4 - Conversions
Changing Fractions to Percent
Changing Percent to Fractions
Fraction, Decimal and Percent Conversion Example
Fraction, Decimal and Percent Conversion Quiz
Module 7.5 - Part, Rate and Base
Using the Three Parts of Percent
Part, Rate and Base Example
Part, Rate and Base Quiz
8.1- Triangles
Module Description
Module Objectives
Identifying Angles
Identifying Angles
Identifying Types of Angles - Acute
Identifying Types of Angles - Right
Identifying Types of Angles - Obtuse
Identifying Types of Angles - Straight
Identifying Types of Angles - Reflex
Identifying Types of Angles - Adjacent
Lab Exercise Identifying Angles
Angle and Triangle Identification Example
Identifying Triangles by Side and Angle
Triangle Identification Quiz
Similar Triangles Example
Similar Triangles quiz
8.2 - Pythagorean Theorem
Pythagorean Theorem
Pythagorean Theorem Example
Pythagorean Theorem Quiz
9.1 - SOHCAHTOA For Right Triangles
Module Description
Module Objectives
Trigonometric Functions: Sine
Trigonometric Functions: Cosine
Trigonometric Functions: Tangent
Trigonometry Tables
Finding Unknown Values
Finding Unknown Values
SOHCAHTOA
SOHCAHTOA
Solving Triangles
Solving Triangles
Slots and Chamfers
Sohcahtoa Part 1 Example
Sohcahtoa Part 2 Example
SOHCAHTOA Quiz
9.2 - Application of Trigonometry
Hole Location for Bolt Circles
Taper Angles
Trigonometry Review
Trigonometry Review
Trigonometry Review
Trigonometry Review
Bolt Circle Example
Bolt Circle and Taper Angle Quiz
Congratulations!
Heidi Strobl