Course curriculum

  • 1

    Chapter 1 - Introduction

    • 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
  • 2

    Chapter 2 - Calculator Operations and Arithmetic

    • 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
  • 3

    Chapter 3 - Fractions

    • 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
  • 4

    Chapter 4 - Decimals

    • 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
  • 5

    Chapter 5 - Graphs and Statistics

    • 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
  • 6

    Chapter 6 - Algebra

    • 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
  • 7

    Chapter 7 - Ratio, Proportion and Percent

    • 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

    Chapter 8 - Geometry

    • 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

    Chapter 9 - Trigonometry

    • 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!

Basic Shop Math Instructor

Heidi Strobl

Heidi Strobl has 15+ years of experience as an educator in the K-12, college and training domains and 10+ years working in manufacturing. She has a Bachelor's of Science in Elementary Education from Oakland University and an Associate's of Applied Sciences in Manufacturing Technology - Quality from Macomb Community College. As an educator, Heidi works hard to teach in a way that makes students feel comfortable to ask questions, share discoveries and practice hands-on learning.