Math Tutorial 4.5 - Variation. Types of Variation

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There are 6 lessons in this math tutorial covering Variation. Types of Variation. The tutorial starts with an introduction to Variation. Types of Variation and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Variation. Types of Variation. You can access all the lessons from this tutorial below.

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?


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
4.5Variation. Types of Variation
Lesson IDMath Lesson TitleLessonVideo
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. Check your calculations for Ratio and Proportion questions with our excellent Ratio and Proportion calculators which contain full equations and calculations clearly displayed line by line. See the Ratio and Proportion Calculators by iCalculator™ below.
  6. Continuing learning ratio and proportion - read our next math tutorial: Ratios

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