博客 Mathematics The Comprehensive Guide to Scoring a Band 6 in HSC Maths

The Comprehensive Guide to Scoring a Band 6 in HSC Maths

Maths textbook

Studying for HSC Advanced or Standard Maths can be challenging — with writing study notes, completing homework and doing practice papers, there’s a lot you need to fit in. Not sure where to even start?

Don’t worry, we’ve got you covered! We’ll be unpacking everything you need to know to prepare for HSC Maths and achieve that Band 6.

What are you waiting for? Let’s get started!

Part 1: Which level of HSC Maths should you be studying?
Part 2: Writing Your Study Notes
Part 3: How to Study for HSC Maths
Part 4: Preparing for your Exams with Practice Papers

Part 1: Which level of HSC Maths should you be studying?

的第一步是要弄清楚哟u should study HSC Advanced or Standard Maths. While both Maths courses are equally difficult,它们有不同的课程内容,您可能会发现您更适合一个而不是另一个。

HSC高级数学

The HSC Advanced Maths course isvery calculus-focussed and is usually a prerequisite for university STEM courses.

研究的一些主题包括:

  • Algebra
  • 一体化
  • Differentiation
  • Logarithmic and exponential functions
  • Calculus
  • Probability

Did you know that between 2019 and 2020, 34% of students studying Advanced Maths dropped the subject? Learn more about the stats这里!

HSC Standard Maths

While Standard Maths is still a challenging course, itfocusses more on general maths such as finance, data and statistics, which can be applied in everyday life.If you’re considering a STEM degree at uni, Standard Maths probably won’t be enough as a prerequisite.

Topics studied include:

  • Financial mathematics
  • Algebra
  • Data and statistics
  • Probability

所以当你试图决定两个数学课程中的哪一个是你的,请记住it’s not about what’s more ‘difficult’!

Consider a range of factors includingwhether it’s a prerequisite for your uni degree, which type of maths is your strong suit, and how you’re currently performing in Maths.

仍然在围栏上,你应该学习哪些数学水平?查看以下文章:

我应该从高等数学下拉到标准吗Maths?
Why You Shouldn’t Drop Down to Standard Maths

Part 2: Writing Your Study Notes

HSC Maths Study Guide - Part 2

现在,写作学习笔记是在HSC数学方面看起来似乎非常具有挑战性的一步,但它们非常重要!

Study notes are a great way toconsolidate your understanding of what you’ve covered in class and it’ll also help you memorise all those pesky formulas!

Ideally, you shouldupdate your study notes once you finish a particular topic in class or at the end of every week or fortnight.Make sure you organise notes according to the syllabus so that it’s easy to find particular topics later on.

This is theHSC高级数学Syllabus和here’s theHSC Standard Maths Syllabus.

For example, here’s what your Advanced Maths topics and subtopics would include:

HSC Advanced/Standard Maths - Syllabus

How to Structure Your Notes

Under each heading, define the terminologies relevant to the topic and write out key formulas.

Make sure your formulas stand out with lots of colours, highlighters, or big fonts! These formulas are going to be the most helpful for you to understand how and why the concept works.

If you handwrite your notes, they might look like this:

HSC高级数学example formula

Include a worked example in your notesso that you know what sort of questions could be asked when it comes to that particular topic and how you can answer them.

In your example,write out every little step and include an explanation behind each step.This can feel tedious and time consuming but it’ll help you understand the topic really well and come in handy when you revisit your notes!

它可以看起来有点像这样:

HSC高级数学example of notes

Once you’ve updated your study notes for the topic,make sure you revisit them throughout the year and edit them based on what you’ve learnt.

在创建学习笔记上寻找更详细的提示?Check out these articles!

如何为HSC高级数学编写有效的学习说明
6 Steps To Writing Awesome HSC Standard Maths Study Notes

Part 3: How to Study for HSC Maths

HSC Maths Study Guide - Part 3

学习笔记是您数学研究的重要组成部分,但您还能做些什么来巩固您的学习并实现这一频段6?

Step #1: Complete Your Homework

家庭作业练习是研究HSC数学时最重要的事情之一。

The work that has been assigned to you by your teacher should be your biggest priority during the week.尽量留在你的作业之上并回答尽可能多的问题,以避免落后!

When you’re working through textbook exercises, be selective about the questions you complete- 它是关于了解这个主题,而不是你回答多少问题或者你花了多少小时回答它们!

If you feel like you’ve mastered one topic, move on to more challenging exercises!But make sure you revisit those questions throughout the year because mastering Maths requires regular practice.

Wondering about how much study you should be doing? We’ve got you covered! Read more about the right amount of HSC Maths study below:

How Much Study Should You Be Doing?

Step #2: Use Different Textbooks, Not Just the One Prescribed to You

We know that just one textbook can feel like it’s too much sometimes! Buta lot of students make the mistake of only answering questions from that one prescribed book.

Instead, working through some practice questions out of different textbooks is super useful! It’llexpose you to different styles of questionsso that you’re familiar with all the multiple ways a question could be asked in an exam.

Teachers often use different textbooks when they’re writing your internal Maths exams,so answering questions from non-prescribed textbooks can also help you score extra marks in your assessments!

Check out some other common mistakes students make when studying for HSC Mathshere!

Step #3: Learn from Your Mistakes

When you’re studying for Maths,it can be tempting to just go through the textbook questions, check the answers to see how many you got wrong, and then move on.但重新审视那些错误的问题并从错误中吸取教训时,这是超级重要的!

Keep track of the questions you get wrong and make note of the syllabus areas you’re feeling least confident about.One way you can do this is by making achecklistto figure out what you know and what you need to revise.

During your Maths study,take a look at this checklist and answer some questions that you originally got wrong.If you get them right now and feel like you’ve mastered the topic, tick it off your checklist and have a well-earned study break before jumping to the next one!

Step #4: Carry a Mistake Book

This step works hand in hand with the step above! But what is a mistake book?

一个错误的书基本上是一本书log any mistakes that you make when working out a question!What makes it useful is that you identify where you’ve gone wrong.

Go through your working step by step and indicate where the error is, so whenever you encounter a similar question, you’ll be able to avoid making that mistake again!

一旦你明白你的初步方法出了什么问题,complete 2 questions below it following the correct steps so that you have worked examples to refer to.

Part 4: Practice papers, practice papers, practice papers!

HSC Maths Past Papers - Featured Image

Completing practice papers is probably one of the most important steps that will help you achieve that Band 6!

How to Effectively Study Using Practice Papers

While you’re still learning the content, pick a few past papers and answer the questions related to topics you’ve already covered. This is also a great way to keep revising old content and solidify your understanding!

通过主题学习非常重要,而不是试图完成整个纸张,因为有一些焦点区域,你尚未得到。

Studying by topic alsoallows you to recognise the types of questions that are typically asked for a certain topic. It can be useful to label a past paper’s questions with the topics covered, because you may notice a pattern in the way past papers are written!

Approaching Exam Periods

As you start to study for Trials and finish off learning new content,do as many Trial papers and HSC past papers as possible.You can ask your teachers for school-based Trial papers and check out ourmaster list of HSC Maths past papers here!

At this stage,try to complete practice papers under timed conditions and if you really want to improve your time management, you can even give yourself 10% less time!这样你就会感到舒适地在时间压力下工作,一旦你在实际考试期间增加了10%的时间,你会觉得你在腰带下有一点额外的时间。

Don’t forget to mark your answers!After completing a practice paper, go through it and find all those silly mistakes, topics you didn’t know, and questions you got wrong.

If you’re getting less than 70%, you might want to go back to your study notes and do some textbook questions to strengthen your understanding of your weaker topics.

Studying for HSC Maths, even right up to those final 7 days before your HSC, will mostly just be a circular process of revising your study notes, completing practice questions, and putting it all together with practice exams.

Want to read more about how to study during that final stretch? Check out the ultimate 7 day study plan forHSC Standard MathsHSC高级数学here!

So there you have it!

We’ve unpacked some study tips to help you prep for HSC Maths. Follow this guide and you’ll ace your Maths exams to get that Band 6! Good Luck!

Are you looking for some extra help with HSC Maths?

We have an incredible team of HSC tutors and mentors!

We can help you master the HSC Maths syllabus and ace your upcoming assessments with personalised lessons conducted one-on-one in your home or at our state of the art campus in Hornsby or the Hills!

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Maitreyi Kulkarni是智能教育艺术的内容作家,目前正在研究麦格里大beplay体育官方学的媒体和通信(公共关系和社交媒体)的学士学位。她喜欢写作任何关于诗歌文章的任何东西,也有一个与ABC发表的文章。当她没有写风暴时,她可以找到阅读,狂欢的情景喜剧,或弹吉他。

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