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This video is the start of a new module dealing with Measurement and Geometry for the Further Maths Units 3 and 4 course. It takes a look at all the rules needed for parallel lines alongside explaining some of the language which will be needed. FUZX is covered - which is really just vertically opposite, alternative, co-interior and alternate angles. Lots of worked examples are done which show case the theory.
This is the second video in the series for the Further Maths Units 3 and 4 course. It continues looking at Measurement and Geometry by reviewing the work which has previously been covered on triangles. Looking at the different types of triangles as well and interior and exterior angles. A quick look at bisecting angles leads into a number of worked examples which complements the theory from the start of the video.
There are videos dealing with parallel lines and triangles. Now there is a video dealing with polygons. This video looks at what a polygon is and the different types of polygons; convex, concave and regular. It looks at the internal and external angles of polygons and how they can be found. There are pictures of the most commonly used polygons. Once the theory has been covered there are excellent worked examples showing how questions might assess your understanding.
Just when you thought it was safe to get back into the water, back comes Pythagoras' Theorem. This video forms part of the pre-learning which is going to be needed for the rest of the chapter in this Further Maths course. It takes some time to recap the theorem including where it comes from and how it is used to find the missing sides of a right angled triangle. After some awesome theory, great examples show how it can be used. The CAS calculator is also used to show how we can solve these problems with ease.
Similar figures, in Mathematics, means that a shape has been enlarged or reduced by a scale factor. The new shape will have sides which are a ratio of the original sides. This videos takes a look at similar figures and how we can find the ratio of the sides and use this ratio to find missing side lengths. The theory is awesome and leads into some great questions which highlight how to put the theory into practice. All exams are solved using a CAS calculator.
So much of the Mathematics we do doesn't appear to have much of a real world application. The good news is that this video shows exactly how Pythagoras and finding areas and volumes of common solids is so useful to us. This video looks at finding the volumes of prisms, pyramids and composite shapes. The formulae are all explained and there are lots of worked examples covered throughout the video to ensure you will not meet a question you can't answer!
This video is part of the Year 12 Further Maths course at Units 3 and 4 and part of the Measurement and Geometry Module. This final video in the series takes a look at how to find the areas and volumes of similar shapes if we are told the scale factor of enlargement. A number of worked examples are completed to explain the theory. All explanations are easy to follow.
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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.