#### 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.…

#### 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…

#### 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…

#### 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…

#### 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…

#### 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…

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!…

#### How assessment questions are written to test your knowledge of The Discriminant.

The discriminant first appears for most students in Year 11 MM, where we show students where it comes from and how it is used to find the number of x-intercepts of a quadratic function. In Year 12, the rule hasn’t changed, but the context of the question has. This little formula often rears its head…

#### How to Solve Quadratic Inequations

Often we see students trying to solve quadratic inequations using algebra. This is a sure fire way to get yourself into trouble! Use this method to ensure you solve inequations correctly every time.