Maths is a branch of science that understands numbers, geometrical shapes, and logical interpretation of real-world events!
The Class 12th Maths Syllabus is extremely useful for students planning to attempt various engineering entrance exams like IIT JEE, BITSAT, VITEEE, etc. The CBSE has divided the class 12 Maths syllabus for 2021-22 into two terms. Each term has equivalent marks and maintains an equal syllabus. This article will discuss the full CBSE class 12 Maths syllabi with some special suggestions; these suggestions will be extremely helpful in raising overall Maths board exam scores, so do check these out for effective Maths preparation! Also, students can refer to NCERT Solutions for Class 12 Maths for better understanding.
CBSE Class 12 Maths Syllabus and Marking Scheme
Students study endless hours of their day to perform well in their class 12 board exams. Knowing the syllabus helps build an efficient roadmap for any exam; it is difficult to score well without one. As a result, this article provides a thorough CBSE class 12th Maths syllabus. Class 12 results lay the foundation for student’s future academic careers.
This CBSE class 12 Maths syllabus chapter-wise weightage can help students plan their Maths preparation more accurately. Follow NCERT Solutions for Class 12 Maths for concept clarity. Knowing the syllabus and the marking scheme can assist students in prioritising the units to be completed first.
|
Internal Assessment Marking Scheme
| INTERNAL ASSESSMENT | MARKS |
| Periodic Tests | 5 |
| Activity file record and Term-end assessment of one activity & Viva | 5 |
| TOTAL | 10 |
CBSE Class 12 Maths: Chapter-Wise Important Topics
Students must extensively prepare for the following Important topics for CBSE Class 12 maths mentioned below:
CBSE Class 12 Maths Syllabus: Chapter 8 Integrals
- Basic Properties of Definite Integrals
- Evaluation of Definite Integrals
- Evaluation of Simple Integrals
- Integration is an Inverse Process of Differentiation
- Fundamental Theorem of Calculus (without proof)
- Integration of various Functions (by substitution, partial fractions and parts)
CBSE Class 12 Maths Syllabus: Chapter 9 Application of the Integrals
- Applications used in finding the Area under Simple Curves, particularly
- Lines
- Parabolas
- Area of Circles /Ellipses (in standard form, and the region should be properly stated)
Also See: CBSE Class 12 Syllabus
CBSE Class 12 Maths Syllabus: Chapter 10 Differential Equation
- Definition
- General and Particular Solutions for a Differential Equation
- Order and Degree
- Solution of Differential Equations (using separation of variables method)
- Solution of Homogeneous Differential Equations of First Order and Degree {of type / = (y/x)}
CBSE Class 12 Maths Syllabus: Chapter 11 Vector
- Definition
- Vector and Scalar
- Types of Vectors (equal, zero, unit, parallel and collinear vectors)
- Direction Cosines along with Direction Ratios of a Vector
- Negative of a Vector
- Magnitude and Direction of a Vector
- Geometrical Interpretation
- Vector (cross) product of vectors
- The Position Vector of a Point
- Position Vector of a point dividing line segment in the given ratio
- Components of a Vector
- Addition of Vectors
- Multiplication of a Vector by a Scalar
- Properties and Application of Scalar product of Vector
Also Read: CBSE Class 12 Study Plan & Strategies | CBSE Class 12 Preparation Tips
CBSE Class 12 Maths Syllabus: Chapter 12 Three-dimensional Geometry
- Coplanar and Skew line
- Cartesian equation of a line
- Vector equation of a line
- Shortest distance between two lines
- Direction Cosines along with Direction Ratios of a line joining two points
- Distance of a point from a plane
- Cartesian and vector equation of a plane
CBSE Class 12 Maths Syllabus: Chapter 13 Probability
- Conditional Probability
- Total Probability
- Bayes’ theorem
- Multiplication theorem on Probability
- Independent Events
- Random Variable and its Probability Distribution
CBSE Class 12 Maths: Effective Preparation Tips
Plan Daily Schedule
Planning an effective daily schedule based on the CBSE class 12 Maths syllabus will surely help students achieve their targets. But only planning is not sufficient. As seen in many cases, students fail to stick to their study plans because of a lack of discipline. Thus, it is important to follow a disciplined study routine for scoring higher grades in Maths and the rest of the subjects. So maintaining discipline along with an effective study schedule is important.
Practice
Maths is all about practice. The more students practice, the better is their performance. Regular practice on previous year’s papers, NCERT solved, and unsolved questions will help better understand the concepts. Use NCERT Solutions for Class 12 Mathsfor better performance. Students must practice CBSE sample papers with a timer to improve their speed, accuracy, and implementation of formulas, as most students fail to complete their Maths papers on time. Solving questions with a timer will help students overcome all their limitations.
Set Daily Achievable Targets
Setting an efficient daily target can help students cover their Maths syllabus on time. Students should set short-term targets that can be achieved daily rather than establishing long-term targets. Achieving short-term goals will provide internal satisfaction, enhance their motivation and improve their further performance.
Revision
Students must prepare a comprehensive list of important formulas and derivatives and revise them regularly. Regular revision of formulas, equations, and derivatives ensures the longer retention power of the students. Students should revise high-weightage topics in different question formats to ensure a good grasp of topics. Math revision requires a fresh mind. Thus students should revise Maths topics early to understand the concepts better.
Group Study
Studying in a group fosters an engaging environment that keeps students engaged. It enables students to utilize their knowledge to take the test in front of others. Thus, group studying will enhance students’ confidence by actively participating in discussions and will help other peer groups understand the topics clearly if they are confused.
Inference
The CBSE class 12 Maths syllabus is essential for students preparing for board exams. It familiarises students with the curriculum of the Mathematics subject. Students also learn about the topics and sub-topics they will be studying throughout 2021-22. Knowing the syllabus beforehand enables students to comprehend and prepare for the future technological world. Students will get in-depth knowledge by studying the CBSE class 12 Maths syllabus. They will identify their strong and weak areas and allocate time accordingly. Students must regularly practice on NCERT Solutions for Class 12 Maths – for better clarification of doubts.
If you are preparing for CBSE Class 12th, then you can go through these pages:
FAQs
1. Is it important to review the CBSE class 12 Maths syllabus before beginning Maths preparation?
Syllabus acts as a framework for planning a course within a specific period. It provides an understanding of the course's goal and objectives and aids in pre-course preparation and the development of basic concepts and ideas.
Therefore, it is important to review the syllabus before beginning Maths preparation. Because students can organise their studies depending on the syllabus, they can also learn about the course's goal and how to do well in the subject.
A prior understanding of the syllabus also makes it easier for students to create a course schedule and allocate time to various other courses.
2. Why is it critical for students to study NCERT textbooks for the CBSE class 12 Maths syllabi?
Talking about the NCERT textbooks for preparing the CBSE class 12 Maths syllabus, the best thing is that these textbooks focus on the core to help students understand the fundamental concepts. The NCERT textbooks are comprehensive and effective for the class 12 Maths syllabus. The CBSE board exams would rarely seek anything more than these texts.
The following are some of the main benefits of studying from the NCERT textbooks and NCERT Exemplar Problems for CBSE students:
The NCERT textbooks help students improve their learning skills and test their understanding, logical thinking, and problem-solving abilities. Refer NCERT Solutions for Class 12 Maths - PDFs Updated For 2021-22 Exam | AESL.
The NCERT class 12 Maths' Exemplar Problems' textbooks help students build a strong roadmap for their board exam preparations. These textbooks are significant for exams, but they are also intended to boost learning in schools.
Specialists create all NCERT textbooks after significant research on each topic to give students accurate and authentic knowledge. These textbooks are written in simple language.
These textbooks completely conform to the CBSE curriculum. NCERT textbooks are suitable for completing the class 12 Maths syllabus because these textbooks serve as the foundation for board examinations and competitive tests such as JEE.
It assists students in forming their concepts. They don't need to memorise everything once they've grasped the fundamentals.
3. How many total units are there in the CBSE class 12 Maths Syllabus? Which unit holds the maximum weightage?
There are a total of 6 units in the CBSE class 12 Maths term 1 & 2 Syllabus NCERT. The unit 3 calculus holds the maximum weightage of 18 marks. Students assume calculus as one of the most challenging units in the Maths syllabus; however, this is not the case. Students can strengthen their calculus knowledge by learning the principles, regularly practising the NCERT textbook questions, and attempting previous year's Maths board exam question papers. The topic "Calculus" is important from the CBSE board exams point of view and is also vital for competitive exams such as JEE. As a result, students should prepare this chapter seriously.
4. Which reference book should I use in addition to NCERT for preparing the class 12 Maths board exam syllabus?
Mathematics is a discipline that necessitates extensive concept development. Formulas are "the bedrock of Mathematics." Mathematical understanding requires the use of formulas. Once students have mastered formulas and their derivations, there is no discussion that they can't attempt the questions.
NCERT - The NCERT textbooks are more than enough to cover the CBSE class 12 Maths syllabus. Almost all board exam questions are based on NCERTs. As a result, students must devote all of their time and effort to practising questions from this book.
R.S. Aggarwal - R.S Aggarwal is the finest reference book for finishing the class 12 Maths syllabi. Here students will receive a full clarification for every problem's solution. Students can use RS Aggarwal Solutions For Class 6th to 12th Maths | AESL for unsolved questions.
R.D. Sharma - In this book, students will be given explanations for each question to comprehend the tricks and methods of questioning. Students can use RD Sharma Solutions For Class 6 to 12 Maths - Download PDF | AESL for practising on unsolved questions.
M.L. Khanna - M.L. Khanna is a useful study guide. This book is comprehensive in itself. If students prepare from this book with great dedication, it would undoubtedly aid them in finishing the board exam syllabus and preparing for JEE exams.
Arihant - This book will undoubtedly aid in preparation for class 12 Maths board exams. The book includes the last 10 years' question papers and their explanations.
Xam Idea - The title of this book is itself the complete explanation. It gives a brief overview of the CBSE class 12 Maths board examination.
5. How can I do well in class 12 Maths board exams?
Students avoid chapters that they find difficult to understand, consequently impacting their long-term performance. Therefore, it is advised to resolve any doubts before proceeding to the following chapter.
Most students begin solving the problem without properly reading the question. Understanding the question and solving it is one of the most effective strategies for tackling key Maths questions during the exam.
Students should understand how to manage their time effectively throughout an exam. Practising sample papers will help students organise their time more effectively and enhance confidence.
Keeping the exam sheet clean makes it easier to work and is a great approach to making an impression on the examiner. The majority of the marks in Maths come with individual steps. As a result, even if students get stuck on a particular step, they may still get the marks for the initial steps.
