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.
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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:
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