Book 3:  Variation

 

You Will

 Subjects

 

Chapter 1

Chapter 2

Chapter 3

Appendix

  • Direct Variation

  • Inverse Variation

  • Combined Variation

  • Bumpy Beginning

  • Say Cheese

  • In Over His Head

 

Video Highlights

Variation is the concept that allows us to express relationships between quantities. This book explains that if the quotient of two variables is constant, one is directly proportionate to the other. With inverse variation, one variable increases as the other decreases proportionately. In combined variation, a variable is dependent on more than just one other variable. Examples include gear ratios and photographic functions.

 

Introduction

Chapter 1

Chapter 2

Chapter 3

  • Get It in Gear!

  • Bicycle Gears: An Example

  • Time is Distance

  • Miles per Hour

  • What are F-Stops Anyway?

  • Camera Lens Aperture

  • Working Backwards

  • An Illuminating Example

  • Stress and Strain

  • Simple Interest: Joint Variation

  • How Do We Use This Stuff

 

Summary/Terminology

 

Variation
Direct Variation
Constant of Proportionality
Ratio
Speed
Rotation
Circumference
Linear Velocity
Inverse Variation
Focal Length
Aperture

F-stop
Nonlinear Direct Variation
Joint Variation
Simple Interest
Combined Variation
Stress
Area of a Circle
Volume of a Sphere
Stress Formula