Math Tutorial 4.5 - Variation. Types of Variation

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Ratio and Proportion Learning Material
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4.5Variation. Types of Variation

In this Math tutorial, you will learn:

  • What is variation?
  • What are the three types of variation?
  • Where does variation differ from proportion?
  • Where to use proportional and variation approach in graph problems?
  • What is the constant of proportionality used in variation?
  • What is the shape of the graph that illustrates direct/inverse variation?
  • Which are the properties of variation?

Introduction

In previous tutorials we explained ratio, rate and proportion, in this tutorial we will discuss variation - a common concept encountered when dealing with proportion-related situations. Despite the fact that in many textbooks the terms that represent these two concepts (proportion and variation) are considered as synonyms of each other, there are a few important differences between them, which we will explain here. In addition we provide many examples that depict various situations where variation is used to illustrate the theory.

Please select a specific "Variation. Types of Variation" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.

Ratio and Proportion Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
4.5Variation. Types of Variation
Lesson IDMath Lesson TitleLessonVideo
Lesson
4.5.1Definition of Variation
4.5.2The Difference between Proportion and Variation
4.5.3Types of Variation - Direct Variation
4.5.4Types of Variation - Inverse Variation
4.5.5Types of Variation - Joint Variation
4.5.6Summarizing the Properties of Variation

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  5. Continuing learning ratio and proportion - read our next math tutorial: Ratios

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