Since the beginning of your academic career, you must have heard about the hype around board exams. In India, the 10th and 12th board exams are considered to be the most important milestones in a student’s academic career. And it has stayed that way since the beginning of the curriculum. Your elder siblings have gone through them, your parents have gone through them. No matter the hype, it is a fact laid in stone that your performance in these examinations conducted nationwide will decide your future. Your 10th board exams decide your future junior college while the 12th board exams decide your career path. The societal pressure that comes around with these examinations often causes extreme stress and anxiety in students. This pressure even though valid a lot of times is just exam fear-mongering. The pressure is even worse when it comes to mathematics. If you are a student living and studying in India it is near to impossible to not experience the pressure to do well in mathematics.12th-grade mathematics with its introduction to calculus is an even bigger obstacle. As a core subject, mathematics requires a thorough knowledge of theories and the correct application of formulae through stepwise logical approaches. Because of its convoluted concepts and weak foundation, a lot of people find the subject daunting. But what if we tell you there was a way to breeze through maths and score high as well that too with just NCERT? Sounds too good to be true? Read on to find out for yourself.
Mathematics is the language of nature, no matter what field you choose you are going to end up learning maths for it. School is the best opportunity for you to clear your basics and build a strong maths foundation which will be fundamental for your future careers.
Here, we will go through each section of NCERT and how to use it effectively to your advantage.
Open your NCERT textbook and spend a good amount of time analyzing the syllabus. This might sound like the last thing you’d want to waste your precious time on. But this actually helps in grasping what exactly it is that you are studying. Most people jump straight into numerical problems without even knowing what subtopic they are learning. So spend some time with the syllabus, familiarise yourself with it, google terms you don’t understand.
The NCERT Class 12 textbook is comprehensive and rich in information textbook comprising of 13 Chapters, namely, Chapter 1 Relations and Functions, Chapter 2 Inverse Trigonometric Functions, Chapter 3 Matrices, Chapter 4 Determinants, Chapter 5 Continuity and Differentiability, Chapter 6 Applications of Derivatives, Chapter 7 Integrals, Chapter 8 Application of Integrals, Chapter 9 Differential Equations, Chapter 10 Three Dimensional Geometry, Chapter 11 Vector Algebra, Chapter 12 Linear Programming, Chapter 13 Probability. Each topic introduces a new concept which is vital for the next chapter and uses the concepts taught in the previous chapter. Calculus carries the most weightage, followed by 3 Dimensional Geometry and Vectors, followed by Algebra and Probability.
Reading the textbook
Maths and reading don’t fit in the same box. You would love to think so because you have been told so. The theory part of the textbook exists for a reason. Take your highlighters and glitters and fancy it up. Read definitions, write them down, understand what’s going on especially in chapters like relations and functions where more writing and explaining is required than solving. If you are aware of the why and how of maths, the numbers become way simpler. You can even maintain a separate note for theories and definitions. You must write your answers in the right way. The best way to ensure this is to refer to class 12 NCERT maths solutions pdf.
Examples are important as they give you a brief introduction to each type of sum and guide you through the approaches without being too challenging. Examples can also show up in the exam paper as well. Therefore it is pivotal to practice and understand them properly. Examples also help in making solving further numerical problems a bit easier.
Everyone should solve every exercise at least thrice. Practicing these sums is of utmost importance here. You are free to skip repeated problems. The mathematics board examination paper is mainly based on these questions. You should also be thorough with the miscellaneous exercises. The higher-order thinking questions of the exam paper tend to come from the miscellaneous section. This section usually mixes all types of sums solved before and presents the whole thing as one. Long answer types of questions tend to be from miscellaneous exercises. Here, online class 12 NCERT solutions pdf can come in handy and prove indispensable to you.
From trigonometric inverses to their integrals there are a lot of formulae in class 12 mathematics. These are typically hard to remember yet vital to solving numerical problems. To remember them, you can use charts or other tools to compile all of them in one place. Go through them regularly. You can even use sticky notes with formulae all over your room so that you remember those purely by visual aid.
Practice Practice Practice
All the previous steps are futile if not done regularly. Even with these groundbreaking tips, you cannot excel in mathematics in one day. You have to practice every day. For the initial days of the academic year, an hour with maths can be enough. The hours spent should increase as exams get closer. With enough practice you wouldn’t even have to remember the formulae, you might just develop muscle memory for it.
Taking Care of Yourself
This part might not come up in NCERT, but it’s more important than anything else on this list. If you don’t take care of your health you miss out on practicing, classes, internal exams. This will affect your performance. Get proper 8-9 hours of sleep. It is fundamental to get a good sleep before maths exams. A well-rested mind is an efficient mind. Eat healthily and at the proper time. Avoid junk and fatty foods. Eat a nutritionally balanced diet to help power up your brain for some numerical solving.
If you are thorough with NCERT top to bottom, it is very easy to score the top grade in the board examinations. It’s natural to get nervous before exams and even more so during such a prestigious one. Don’t worry, with these tips at your disposal, you are bound to excel. Good luck!