The year is drawing to a close, and most of the Year 12 exams are over. Which means that the people who are most worried about Maths in the state aren’t Year 12s…. They’re Year 11s!
If you’re continuing on with Methods in the year to come, you probably already know that you’ve got a
fair bit lot of work ahead.
One of the hardest things about Methods is that every topic is interconnected, and they all tend to draw on each other. That can be a blessing and a curse.
But when they start diving into content that you haven’t seen in months (or even years) it can get a little difficult to keep up. If you want to give yourself the best chance before starting Year 12 Methods, there are a few topics that you should definitely consider brushing up on.
The list here is a set of topics that aren’t covered directly in the Year 12 Methods curriculum but are still heavily relied upon. That means that you either need to understand these ideas or risk getting overwhelmed.
Quadratics have appeared in the Maths curriculum every year since around year 9. Despite this, many students have difficulty recognising and solving these problems, which will definitely be problematic in Year 12.
The biggest issue is that this topic is not even touched on in Year 12, but your teachers and assessors just assume you are familiar with it. That means that, if you have difficulty with Quadratics, you will often get left behind in problem-solving questions. Quadratics appear most frequently in the context of a problem-solving question. Make sure you have these nailed so you can use the techniques effectively in a wide range of contexts.
Polynomials are closely tied to Quadratics. And while they are not as common, they can cause quite a bit of difficulty in Methods. Especially in the early parts of the year. Because this content has been taught in past years, at best you might skim over the content without diving any deeper. And yet questions that rely upon this content continue to pop on on the end of year exams.
Especially in the early parts of the year. Because this content has been taught in past years, at best you might skim over the content without diving any deeper. And yet questions that rely upon this content continue to pop on on the end of year exams.
Because this content has been taught in past years, at best you might skim over the content without diving any deeper. And yet questions that rely upon this content continue to pop on on the end of year exams. Polynomials can easily let you down in SACs or exams if not revisited properly.
3. Basic Calculus
The end of Unit 2 introduced basic calculus to Methods. Units 3&4 build on those concepts extensively. In fact, the first third of the year builds up new topics, and then the rest of the year injects the Calculus aspect into those topics and binds them all together.
While you might get a VERY brief recap of this topic (if your teacher is well organised), it is likely that you will be in a rush by that time of year. So make sure you refresh the Calculus that you learn in Year 11, so that you are primed and ready to go for Year 12.
These are often the bane of a Methods student’s existence. Transformations have been in the curriculum since around Year 9. Yet they always seem to cause problems, and Year 12 Methods is no exception.
Making sure you have a grip on dilations, reflections and translations in a variety of functions before starting Year 12 Methods can be a huge leg up. They have a huge range of applications. Not only that, but these concepts will need to be applied to several of the new topics that are covered. If you have a good understanding of the core principles, you’ll find it much easier to apply throughout the year.
5. Simultaneous Equations
These problem-solving questions pop up almost as often as quadratics. They definitely aren’t a standalone topic, but you will be relying on them heavily. Any question involving finding an equation or intersection points will likely involve simultaneous equations.
By making sure you recap on the techniques involved with solving these equations, you can make sure you’re ready for every curve ball that Methods can throw. Not to mention that they also pop up in exams now and then.
It’s worth having these nailed!
Are you ready for Year 12 Methods?
The school holidays are a good time to make sure you are up to speed. It won’t take long to get back on top of this stuff, honestly. And it will be worth it. Trust me.
If you’re worried about how to nail it all, just get some help. Hit the link below and order a free USB stick preloaded with video lessons.
They’ll help make sense of the content mentioned above, and get you ready for the year ahead!
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