Colourful Maths! How to Sketch Any Graph

Taught by a Mathematician and professional entertainer and full of colourful animations
0.0 (0 ratings)
Instead of using a simple lifetime average, Udemy calculates a
course's star rating by considering a number of different factors
such as the number of ratings, the age of ratings, and the
likelihood of fraudulent ratings.
4 students enrolled
Instructed by Alex Bell Academics / Math & Science
Take This Course
  • Lectures 16
  • Length 1.5 hours
  • Skill Level All Levels
  • Languages English
  • Includes Lifetime access
    30 day money back guarantee!
    Available on iOS and Android
    Certificate of Completion
Wishlisted Wishlist

How taking a course works


Find online courses made by experts from around the world.


Take your courses with you and learn anywhere, anytime.


Learn and practice real-world skills and achieve your goals.

About This Course

Published 3/2015 English

Course Description

This course is designed to teach you how to draw any power function in Maths Methods. We took all the major concepts and simplified them into plain English using animations and visual effects, not just endless symbols and equations.

It can help you understand questions more thoroughly, concentrate more effectively in your studies and reduce the stress that comes with not understanding the content.

It covers most graphs you will come across (but doesn't specifically cover sin(θ), cos(θ), tan(θ), logs or exponentials) in Mathematical Methods (CAS).

It is designed for Units 3 and 4 (Year 12) but would also be applicable for Units 1 and 2 (Year 11)

Contents and Overview

This course is aimed at any student who is struggling in Methods. It has tutorials that explain each of the major concepts step by step and in detail.

What am I going to get from this course?

  • The goal of this course is to give you an intuitive understanding how to draw any power function
  • Revolutionary way of looking at Methods without all the Mathsy language
  • Animations and visual effects to give you a better idea of what all the concepts mean
  • Taught by an educator with degrees in Mathematics/Astrophysics, Philosophy and Classics

Why do students struggle in Maths?

Classes move so fast and cover so many topics that it's easy for them to miss a few key concepts.

Suddenly, Maths is no longer a logical subject but a painful experience where they try to remember how to answer questions rather than actually understanding the content.

How can we help?

We simplify Methods so that they understand the fundamentals of what they are studying and really understand what the question is asking rather than hoping that they remember how to answer it.

Practice is key but there is no point spending hundreds of hours on questions if they don't really know what they are doing: as they simply won't get the results they deserve.

The Solution

Our tutorials contain every major concept the topic and are full of animations and visual effects and only contain simple, non-technical explanations. They are designed to give students an intuitive understanding of the subject which in turn increases concentration and makes VCE a lot less stressful for everyone.

What are the requirements?

  • Designed so even a Year 10 student could understand it

What am I going to get from this course?

  • Lectures full of animations, simple definitions and visual effects
  • Learn how to sketch any basic graph

Who is the target audience?

  • Suitable for any VCE Maths Methods student
  • Anyone who needs to know how to sketch any graph

What you get with this course?

Not for you? No problem.
30 day money back guarantee.

Forever yours.
Lifetime access.

Learn on the go.
Desktop, iOS and Android.

Get rewarded.
Certificate of completion.


Section 1: Start Here
Section 2: Parabolas
The Basics of Parabolas
Transforming a Parabola
Quadratics - Quadratic Formula, Roots and the Discriminant
3 Main Ways to Draw a Parabola
Factorising Quadratics
Section 3: Domain and Range
Definition of Domain, Range and Implied Domains
How to Find the Domain of Any Power Function
Section 4: Functions and Relations
Relations - Definitions and How to Understand All the Symbols
Functions - Definition and How to Understand All the Symbols
Section 5: How to Sketch Any Power Function
Transposing (Moving Functions Around the Graph)
Stretching and Reflecting
Functions in Intercept Form
Power Functions with Fractional Powers
Section 6: Summary
Summary of How to Sketch Any Power Function
Section 7: That's It!
Well done!

Students Who Viewed This Course Also Viewed

  • Loading
  • Loading
  • Loading

Instructor Biography

Alex Bell, Degrees in Mathematics/Astrophysics, Philosophy and Classics

A Monash University Graduate with degrees in Mathematics/Astrophysics, Philosophy and Classics who specialises in teaching Year 12 VCE Maths Methods.

I have trained and educated people all around the globe for many years and concluded that there must be a way to teach Maths other than just with equations and practise.

After spending thousands of hours researching the terminology, symbols and concepts of Mathematics, it became clear that it could be taught much more intuitively.

From that point, I started teaching Mathematics almost like it was a Humanities subject: defining all the symbols and terminology, providing simple explanations and using lots of pictures and animations. Students began to understand Maths using common sense instead of complex proofs because they could visualise the concepts rather than just accept them.

I often found that if students were taught the basics then they would figure out the more complex ideas all by themselves. They learnt things quicker, became less stressed and could concentrate on their school work more effectively.

With the aid of a visual designer, an IT professional and a couple of videography experts, I spent next six months researching and developing the most effective way to teach students online. The culmination of all this work: easy to understand, online tutorials full of animations and visual effects that will revolutionise the way students learn Maths.

Ready to start learning?
Take This Course