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This video is an introduction to the work which will be covered in the quadratics section of this course. Rather than show how to expand expressions with lots of examples, I take a look at the mistakes people make when expanding expressions. A number of examples are covered and a discussion about DOPS and what perfect squares are.
Does the word Factor bring you out in a cold sweat? Do you know the difference between a factor and a multiple? Well ... this might not be the video for you ... but it sure might help if you need to know more about factorising algebraic expressions. I take a look (using lots of examples) at how to factorise using three main methods: DOPS Grouping Taking out common factors. DOPS has to be my favourite of all! I spend time working through not only how to do them but when to do them and why you are doing them. All within 16 mins! And with some humour thrown in too. Not too shabby if I do say so myself. Load the video and enjoy :)
I am asked all the time to do videos about completing the square as people find this a challenging concept! Well, here is the video and I have broken the concepts down so everyone can understand! I love making Maths easy. I spend a lot of time working on examples and teaching using these examples. Firstly we expand brackets which have been written as squares. We look at the relationship between the middle number of the expanded form and the end number of the bracket. We look att he relationship between the end number of the bracket and the end number of the expanded form ... Hold on! Why are you reading this and not watching the video about completing the square. I promise it makes much more sense visually!!! Thanks for watching ... let me know what you think by leaving a comment below (on YouTube!).
So, we have learned how to complete the square, but did we learn much about why we are doing it? Well, a little bit! In this video, I look at how we can solve quadratic equations by completing the square. I look at why we want to complete the square and what it means to solve an equation. In this video, we decide that solving means to make the value of y in each equation equal to zero. Why? Well, this allows us to find the x-axis intercepts ... which is what we mean (at the moment) by solving an expression. There are a number of worked examples and a smattering of jokes and humour. I really hope you enjoy it!
Who knows what the actual name of the method is called but this video takes a brisk canter through how to solve quadratic equations using the wonderful method which I call the T-Method. It also looks at completing the square and why all these methods are so important when solving and factorising quadratic equations. Using a method of finding factors and sums, we can split a quadratic factor into four terms which, when grouping, can be factorised and factorised again. This method really does make factorising quadratics into binomial product form so much fun. Well ... simpler at least.
Welcome to the world of Quadratic Equations and the Quadratic Formula. In a previous video we looked at how the formula could be used to find the solutions to a whole range of problems. But it has a much more powerful use. Well, the part under the square root! The discriminant is an awesome way to find the number of solutions to a quadratic equation. We can use it to find if there are one, two or no solutions. It's also helpful when trying to find the axis of symmetry! So much fun in such a short lesson.
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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.