You may be thinking…How do you even writes HSC Standard Maths study notes?!
It seems strange writing study notes for a subject when you write so few words in exams. Most students simply copy down what’s written on the whiteboard in class. But then, in the same book they do their classwork and homework.
全都在同一本书中！What you’re left with is a mash-up of syllabus content, along with your crossed out working out and practice questions.
这就是为什么仅适用于HSC标准数学的扎实学习笔记很重要 - 但是这是什么样的？
That’s exactly why we’ve got this simple6 step guide to writing HSC Standard Maths study notes and getting that Band 6!
为什么要制作HSC标准数学研究笔记
How to Make HSC Standard Maths Study Notes
Step 1: Convert Syllabus into Checklist
步骤2：定义主题术语
Step 3: Break Down Dot Points
Step 4: Include Formulas
步骤5：添加具有挑战性的问题
Step 6: Include References to Questions
为什么要制作HSC标准数学研究笔记
Reason #1: You Miss Nothing
It ensures that you have covered all the content thoroughly. Being a more filled out version of a checklist, it contains all the content that the course requires you to know.
Reason #2: Easier to Revise
制作学习笔记使修订以后变得容易得多。您不必在学校数学书籍或教科书中浏览数百页，以寻找该公式。
理由3:有助于修正过程
When I say making notes, I meanyouactually making the notes and not just obtaining it from a friend. Actually writing your own notes, helps with the revision process. By making your own notes within 24-36 hours of learning it, it also keeps you up to date with classwork, so you don’t fall behind in class. Because maths often builds on top of what you learnt previously, having holes in your knowledge will result in you having no idea what is going on in the next lesson.
Reason #4: Addresses Weaknesses
学习notes are very personalised.
What people consider important enough to include in their study notes differ greatly from person to person. My study notes were often very minimalistic because I would spend a lot of time practicing questions from a textbook. This allowed me to recall the basic theory and thus I could exclude it from my study notes, to further reduce the browsing needed to find what I needed later on.
How to Make HSC Standard Maths Study Notes
Step 1: Convert Syllabus into Checklist
There is a detailed guide to converting theHSC Standard Maths syllabus which you can find here在下面的清单中：
重要的是要stick as close to the syllabus as possible. Use it to form a study checklist.
This contains checkpoints made from the terminologies and content dot points. In addition, adding the suggested applications and considerations, from the syllabus, which are important.
This is a very important step, because the study notes will be following this checklist backbone.
步骤2：定义主题术语
通过列表上的检查点进行检查点。共享的链条和焦点研究有自己的术语集。
在主题中使用的上下文中定义每个术语。This will help in exams because these terminologies may be used.
例子：
Bias：如果统计数据以与感兴趣的人群参数有系统不同的方式进行计算，则将其偏差。
生物识别数据: metrics related to human characteristics e.g. passport, fingerprints, PIN/password
您应该尝试定义到目前为止所涵盖的术语。
Step 3: Break Down Dot Points
For the content, this is the part that will differ the most from person to person.Depending on the starting verb, dot points require different types of information to be added.
For this part, we have a perfect resource to help you understand and nail each dot point!
If don’t understand a concept, you should check out ourFREE video resources for HSC Maths that explain Maths concepts syllabus dot point by dot point here!
A few common examples of verbs from dot points:
计算
I like to include one sentence commenting on what else you need to know to answer the most common types of questions, followed by one worked out example.
Example from Syllabus: Calculate the percentage decreases in the value of a new vehicle after one year.
Need to be able to use value depreciation rates to calculate new value of car after one year.
Example Question: A new car is purchased for $56 000. It depreciates in value at a rate of 35% per year.
a) Calculate the book value of the car after 4 years.
b）4年后，汽车的价值贬值了多少百分比？
分析
In this case, understand what the analyse refers to. In the example below, it can ask you to interpolate/extrapolate information from a table, data set or graph.
Example from Syllabus：分析与保险费用有关的盗窃和事故统计。
Need to determine appropriate predictions or trends from data sets represented in various forms e.g. tables, data set or graph
Again, because it is maths, add an example.
By分析the above graph, it can be seen that insurance is very high amongst teens and decreases at a decreasing rate until it reaches the age of 55. After this point, the insurance costs increases as the driver ages.
有可能插值使青少年造成更高的碰撞风险，由下表（平均索赔较高）支持，因此其保险成本更高。而且，随着驾驶员的年龄，他们变得更加经验，reducing risk of collision and thus reducing insurance cost.
It may be推断, that the insurance cost increases beyond the age of 70 due to the ageing of the driver, causing reductions in cognitive and physical abilities. This worsens with age and thus they pose agreater risk of collision, increasing insurance costs.
创造
This involves some sort of visual representation of mathematical information. Most commonly a graph.
Example from Syllabus：创建一条线图，显示在各种价格的车辆上应支付的印花税。例如。为价格从$ 1000到$ 80 000创建线路图
我将为此做一个示例线图。通常，您通常会在检查站后立即包含问题和图形解决方案。
Example Question: Stamp duty is charged at the following rate: 3% of the market value up to $45 000 plus 5% for any amount over $45 000. Graph the relationship between stamp duty payable and vehicle prices from $1000 to $80 000.
Note: As you can see, this step is high personalised. From the explaining sentence of the dotpoint, which explains it in greater depths so that you understand its requirements, to putting the worked solution in graphs/tables.
习惯这一过程需要一些工作，但是如果您在学习内容后尽快完成学习笔记，您仍然会记住当时您或更困难的事情。
Therefore, you’ll know what to put more emphasis on when writing your notes, because months after learning the content, chances are you run into the same problems that you had when you first learnt the content.
Now You Try: Write up an example for two other starting verbs from the syllabus.
Step 4: Include Formulas
确保包括所需的公式。希望所有人formulas you include are demonstrated in the worked solutions您用于示例或至少与检查站配对。
如果没有，请尝试区分您使用的工作解决方案。
Even though the formula is given on the data/formula sheet, having it visually placed next to the content/theory while studying will give you a greater chance of recalling the formulas required upon seeing a question containing words from your notes.
This, ultimately, will save you valuable time in the exam.
步骤5：添加具有挑战性的问题
我喜欢在学习笔记中提出具有挑战性的问题。HSC/审判论文are really good examples, since you’ll likely see questions of similar difficulty.
确保包括工作解决方案以及在哪里找到它例如HSC 2015问题28.e（散点图和最佳曲线行的一个很好的例子）。
Placing this at the end of a topic’s study notes will allow you to see harder applications of the content after being refreshed by the basic theory.
Now, look through a fewHSC past papers hereand pick three questions for each topic, you’ve covered so far, into your study notes.
Step 6: Include References to Questions
This is optional, but I also reference where to find certain questions pertaining to the topic.
这样，当您阅读笔记时，您可以刷新记忆，然后立即给一些问题。
在修订时间方面确实很有用，并节省了自己的需求，需要扫描无数的考试文件以找到一个要练习的问题。
提示
There’s a few extra (minor) things to keep in mind before starting your study notes. This will make the process easier and better the end result.
Tip #1: Stay Up to Date
Try to complete your study notes, for a particular topic, within two days of learning the content at school.
这样可以确保您可以充分完成任何课堂/作业。
另外，通过在您的脑海中写下笔记时，您可以在首次了解内容时发现困难的内容的部分资源中包含额外的信息/链接。在修订时间方面，您可能会遇到同样的困难。
Tip #2: Change It Frequently
As you progress throughout the year, you’ll find that some of content is now intuitive to you.
If this is the case, you may remove the content from your study notes. This shortens the amount you have to read over for your revision, allowing you to skip directly to the topics/questions that you find more difficult.
Be careful, removing part of your notes too soon may result in you forgetting it later on. So be absolutely sure you will not need to revise it again.
Do, however, keep it in your checklist, so that you may see a complete list of everything you need to know. Only remove your extra additions: your 1-2 sentence comment, example questions and worked solutions.
Tip #3: Study Notes are Not the Be-All and End-All
Making extensive study notes is only one of the steps to mastering high school mathematics. Learning the theory and seeing it applied is an important part of the learning process.
However, actuallyworking on questions, particularly trickier applications对于在标准数学中得分的高分绝对是必不可少的。使用这些注释作为修订方式，并通过反复做出问题来扩展知识基础。
After all, the standard mathematics exam is all about answering new, unseen questions (infinite combinations by changing the numbers) and not regurgitating information.
And that wraps up our guide to nailing your HSC Standard Maths study notes – good luck!
Trying to achieve a Band 6 in Standard Maths? Check out our tips for scoring one这里！
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托马斯郑enjoys using numbers in every aspect of life. So much so that he just had to take Civil Engineering at UNSW, because even Extension 2 in high school did not satisfy that need. Now he’s writing (with actual words) for Art of Smart because he understands the importance of balance in life. I guess that’s why he spends most of his time watching TV shows and movies as opposed to doing ‘something productive’ as his teachers used to say, because that totally demonstrates how much he understands that balance thing.
