Gradients of Linear Graphs

Learn all about Gradients of Linear Graphs in this full lesson video!

Grade 9 Maths

Term 3

Functions and Graphs

CAPS aligned

Content covered in this Gradients of Linear Graphs lesson:

  • In this lesson, you will learn about Gradients of Linear Graphs – part of the Functions and Graphs topic covered in Term 3 of the Grade 9 Mathematics curriculum (CAPS).

Concepts you will learn in this Gradients of Linear Graphs lesson:

  • Investigating the slope of various linear graphs

  • Understanding the gradient (m)

    • Positive and negative slopes

    • Steepness:

      • m = 1 or m = -1

      • m > 1 or m < -1

      • 0 < m < 1 or -1 < m < 0

  • Gradients of parallel lines

  • Calculating gradient:

    • From two points on the graph

    • Using the equation of the line

Lesson format:

  • During the video, I spend time teaching and explaining about the concepts covered in the lesson.
  • I give full examples where I show you how to answer problems, showing all working out.
  • You will have a chance to work on practice examples with a timer – this will help you to get used to working with a time limit (a necessary skill for when you need to do tests and exams).
  • I go through all the practice examples in detail after you have had time to complete them, so that you can see how you did – and where you went wrong if you made mistakes.

Get the worksheet that goes with this lesson

The worksheet includes the examples I go through in the lesson – and in some cases there may be sections that you can fill in on the worksheet instead of needing to copy everything down during the lesson (like tables etc).

The worksheet also comes with an extra exercise for you to use to practice the concepts taught in this lesson after you have finished the video.

Additionally, the worksheet includes answer sheets – with fully worked out solutions, so you can check your work and see how to complete the problems in the exercise step-by-step.

Grade 9 Maths Lessons