Writing a great FM notes book

Where to start with writing your Further Maths Notes book? Starting to write your notes can be an overwhelming task. As with anything that is overwhelming, it’s not hard for procrastination to set in and put this task off for a later date. You also know fully well that if you could get to it…

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Range TI-Nspire

TI-Tech: Finding the Range

Finding the Range of a function on the TI-Nspire Calculator (Video Below ↓) What is the range of a function? The range is the set of all y-values that exist for a function. Whilst there are plenty of other, more technical, definitions out there, I find it’s easiest to think of range in terms of…

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Maximal Domain

TI-Tech: Finding the Maximal Domain

Finding the Maximal Domain on the TI-Nspire Calculator (Video Below ↓) What is a Maximal Domain? Domains and Ranges are a huge part of the Math Methods course. I am constantly drawing graphs to gain meaning from the problem at hand. The functions we work with in the Methods course invariably have a restricted domain.…

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A neat summary for Power Functions

How to Graph Power Functions Power functions can look so overwhelming! But let me break it down for you into easy digest-able pieces. You need to think in terms of SHAPE and QUADRANTS using this little graphic. There’s really only three shapes you need to remember and they are shown across the top line below.…

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56% of students couldn’t correctly solve the log equation given in the VCAA 2014 Paper 1. Can you solve this one?

Solving Log Equations Every year, Exam 1 has contained an equation to solve involving exponentials or logs.   How well have students done in the past? In 2014, 44% of students correctly solved the log equation In 2013, 56% of students correctly solved the log equation Thus, if you can master your skills for solving…

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6 Log Laws you need to know and the 3 common mistakes you don’t want to be guilty of making

Log Law Summary There are also plenty of these Log Law summaries around, but here’s another one just for you. Watch out for the ‘TRAPS’ listed above in your work – these are commonly made mistakes and are traps you don’t want to fall into in your work.     Download the full copy of…

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7 point summary to Index Laws (plus a trap I don’t want YOU to fall into)

There are plenty of these summaries around, but in case you don’t have one handy, here’s one just for you. Also watch out for the ‘TRAP’ listed in your work – this is a commonly made mistake and a trap you don’t want to fall into. Download a pdf version of this graphic here: Index Laws.pdf (109…

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4 keys to mastering dilations from the y-axis

Tricky tricky tricky… Perhaps this little summary will help clear up the confusion about when to use the reciprocal and when not. Click on the link below to download your own copy to add to your summary notes. Be aware the ‘opposite’ is also readily tested: you might be told that a functions has been…

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This little question used to mess with my head!!

I vividly remember a question like this appearing in my own Year 12 MM exam way-back-when. Gosh I wish I’d had someone explain it to me like this before I walked into that room!! Ugh.. they used to do my head in. I know now that the trick is to try and not over think…

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[FREE DOWNLOAD] Simultaneous Linear Equations

One solution, Two solutions, Infinitely many solutions… ??? This little graphic will be sure to clear things up for you. I put together this little summary of the various conditions for solving simultaneous linear equations. Feel free to print it off and add it to your notes to take into SACs or Exams. Hope it helps!…

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