Welcome to our Beginner's Guide to Acing Year 10 Maths. In this Guide, we're going to walk you through the core subjects of Year 10 Maths with easy to follow overviews and concept checks where you can test your knowledge and skills.
The Beginner’s Guide to Year 10 Maths is your trusted Guide for acing Year 10 Maths. Year 10 is an important year for Maths students. Students in Year Maths consolidate their learning and begin acquiring the advanced knowledge and skills they will need for 2 Unit maths and beyond.
The concepts and skills learned in Year 10 prepare students for the complex and rigorous ideas they will encounter in Years 11 and 12. Students who fall behind in Year 10 have a difficult time catching back up.
We wrote the Beginner’s Guide to Year 10 Maths to help students get the right foundations before they start Year 11 and Stage 6.
Each of these articles in the Beginner’s Guide addresses the NSW Syllabus Outcomes. A complete list of these Outcomes can be found here on the NESA website.
In this guide, each article will explain the theory to you and show you how to apply it.
Throughout each article, we’ve provided some worked examples so that you can see how to apply the theory. We’ve also provided a number of questions for each subject. These will let you test your knowledge.
Finally, we’ve provided you with worked solutions so that you can check your skills and understand your mistakes.
Developing a strong understanding of the theory is the first step in our Matrix Method for MathsTM .
|The Matrix Method for Maths is our proven process to ensure you develop knowledge and skills.|
|1||Theory||Developing a thorough understanding of concepts is the first step to mastering Maths. Learn from Matrix Theory Books that are carefully structured to help you understand even the most complex stuff!|
|2||Application||Memorising formulas will only get you so far. Consolidate your understanding by learning how to apply concepts and techniques to solve problems.|
|3||Examples||Work through examples that will actually be in your exam. You’ll learn how to present your solution for maximum marks in exams.|
|EXAM SKILLS (50% OF COURSE TIME)|
|4||Concept Checks||Learn the most efficient problem solving techniques with different types of exam-style questions.|
|5||Workbook||Practice sharpening your skills with hundreds of exam-style questions. It’s important to keep practising as this is the only way to find the right balance between speed and accuracy.|
|6||Quiz and Feedback||Weekly quizzes and feedback provide you with opportunities to identify your gaps and address them ASAP.|
|7||Topic Test||Working under exam conditions will boost your confidence for the real thing. Learn from your mistakes and fill your gaps so you are continually improving.|
Some common problems that students face are:
For example: Find the \(x\) – intercepts of the parabola \(y=x^2+6x+5\).
Unless students know how to factorise, there is no way of finding the \(x\) – intercepts of this equation. They must make sure the equation is in the form \(0=(x+5)(x+1)\) before finding the \(x\) – intercepts.
For example: Solve the equation \(3^x=12\)
Students must be able to manipulate this equation into logarithmic form in order to find the value of \(x\).
The answer would be \(x=log_312\)
Many students struggle in Year 10 Maths because they take the wrong approach to learning. Mathematics requires the application of logic, not rote learning.
Here are some of the common reasons we’ve found that students struggle:
Students should set up a consistent study rhythm where they have time set aside each week for:
It is important that you keep track of your mistakes. Keeping a journal of mistakes will allow students to reflect on their errors and develop strategies to avoid making mistakes in the future.
Now it is time to familiarise yourself with the content of this Guide. This is a resource that you should come back to consistently when you encounter the subjects at school during the year.
First up, we’ll look at quadratic equations in Part of this Guide.
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