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Math Tutorial 14.2 - Slopes and Gradients

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There are 3 lessons in this math tutorial covering Slopes and Gradients. The tutorial starts with an introduction to Slopes and Gradients 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 Slopes and Gradients. You can access all the lessons from this tutorial below.

In this Math tutorial, you will learn:

  • What is a slope?
  • What is the gradient of a line?
  • What is the key difference between the concepts 'slope' and 'gradient'?
  • What does the gradient of a line indicate on a graph?
  • How do we calculate the gradient of a line?
  • What does the sign of a gradient tell us about the line?
  • What is the gradient of a horizontal/vertical line?

Introduction

In many textbooks, you find the concepts of 'slope' and 'gradient' mentioned in the same topic. This may create some confusion, as some authors tend to simplify the explanation by representing these two concepts as synonyms of each other. However, they are not exactly the same thing, despite the similarities in meaning. We will point out these differences in this tutorial, where first, we will explain the difference between slope and gradient and eventually we will focus on various situations involving gradients, as a more scientific concept compared to the slope.

Please select a specific "Slopes and Gradients" 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.

Linear Graphs Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
14.2Slopes and Gradients
Lesson IDMath Lesson TitleLessonVideo
Lesson
14.2.1Definition of Gradient and the Difference in Meaning with Slope
14.2.2What does the Sign of the Gradient Indicate?
14.2.3What is the Gradient of a Horizontal and a Vertical Line?

Whats next?

Enjoy the "Slopes and Gradients" math tutorial? People who liked the "Slopes and Gradients" tutorial found the following resources useful:

  1. Math tutorial Feedback. Helps other - Leave a rating for this tutorial (see below)
  2. Linear Graphs Revision Notes: Slopes and Gradients. Print the notes so you can revise the key points covered in the math tutorial for Slopes and Gradients
  3. Linear Graphs Practice Questions: Slopes and Gradients. Test and improve your knowledge of Slopes and Gradients with example questins and answers
  4. Check your calculations for Linear Graphs questions with our excellent Linear Graphs calculators which contain full equations and calculations clearly displayed line by line. See the Linear Graphs Calculators by iCalculator™ below.
  5. Continuing learning linear graphs - read our next math tutorial: Equation of Linear Graphs

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