Topics
This video looks at expanding and collecting like terms with the view of understanding why we do it for quadratic factorisation.
This video shows Year 11 Factorising as part of the Methods 1 and 2 course. It will show you everything you need to know about factorising.
This video looks at how to sketch graphs of quadratics and the important information you need to show on the graphs. It talks about how to find intercepts and how transformations are structured around the turning point form
This video will show you how to complete the square to get the turning point form of a quadratic. From this form of the quadratic equation all sorts of excitement can happen. No! Really. Trust me!
This video looks at how to graph quadratics in polynomial form.
This video looks at the techniques used to solve quadratic inequalities and what the specific equations mean. It looks at values above the x-axis, on the x-axis and below the x-axis.
This video looks at what the general quadratic formula is and how it is used to solve quadratic equations. It also has a discussion about the discriminant and how the equation can help to find the number of solutions.
This video looks comprehensively at the use and need for the discriminant in solving quadratics. The discriminant is a way to find if there is one, two or zero crossing points on the x-axis. This is a way to find if there are solutions to a quadratic equation. Solutions, in Mathematics, are simply the number of times a function crossing the x-axis.
This video looks at how we can find points of intersection between a linear equation and a quadratic equation. It looks at how the determinant can be used to help find a range of solutions to where a line might meet at a tangent.
This video looks at how to find the equation of a polynomial if we are given key information. There is an excellent discussion of how the various forms of the quadratic equation can meet the needs for the information you are given.
This video looks at the most common use cases of quadratics when used in a modelling sense. There are not full worked examples, more a discussion of how each question needs to be considered and the theory applied
This video looks at some more complex examples of completing the square using algebraic techniques. It's challenging but fun too!
This video shows how to use the Null Factor Law to solve quadratics and why it's so useful to us in Mathematics.
This video is an addition to the course which is operating for Methods 1 and 2 in Australia. It takes a look at how to use Pascal's triangle to find the expansion of (a+b)^n style brackets. It shows how the triangle come to form and how to use some basic rules to find the expansion of any of these form of brackets.
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These are the videos which are available in each chapter. You will notice that some are free and some are for subscribers only. Making and hosting these videos costs a little bit of money. To help pay for the hosting fees I have no choice but to hide some of the videos and make them for subscribers only.