CBSE Class 10 Maths: A Comprehensive and Simplified Syllabus for Students Who Need Extra Support

If you struggle with CBSE Class 10 Maths, don't worry! You are not alone. Many students find maths to be a challenging subject. However, with the right approach, you can overcome your difficulties and build a strong foundation in mathematics. This simplified syllabus is specifically tailored to address the needs of weak students. It covers all of the essential topics in the CBSE Class 10 Maths Syllabus, but it is presented in a clear and concise way, with easy-to-understand explanations and practical examples.

👉Unlock the Comprehensive NCERT Solutions for Class 10 Maths! Also, Check Them Out Here.

In addition, this Syllabus includes engaging activities that will help you to learn and understand the concepts in a fun and interactive way. And a 3 Month Study Plan to finish your Class 10 Math Syllabus.

Essential Topics

The following are the essential topics in the CBSE Class 10 Maths Syllabus:

• Number Systems

• Algebra

• Geometry

• Mensuration

• Statistics and Probability

V are here to guide you through a step-by-step plan to ensure your success. Let’s break down your path to success:

Month 1: Building Strong Foundation

Week 1 - 2: Number Systems and Algebra

• Start with number systems and basic algebraic concepts.

• Utilize Vedantu’s video lessons, practice problems, and live classes to reinforce your understanding.

Contents of These Chapters:

Real Numbers

Real numbers are all the numbers that can be used to represent quantities in the real world. They include positive integers, negative integers, fractions, decimals, and irrational numbers.

Polynomials

A polynomial is an expression that consists of variables and coefficients. Variables are letters that represent unknown quantities, and coefficients are numbers.

Quadratic Equations

A quadratic equation is an equation of the form ax^2 + bx + c = 0, where a, b, and c are real numbers and a ≠ 0.

Arithmetic Progressions

An arithmetic progression is a sequence of numbers in which each term is equal to the previous term plus a common difference.

Geometric Progressions

A geometric progression is a sequence of numbers in which each term is equal to the previous term times a common ratio.

Algebra:

Sets and Relations

A set is a collection of well-defined and distinct objects. A relation is a correspondence between two sets.

Functions

A function is a relation between two sets in which each element of the first set is related to exactly one element of the second set.

Linear Equations and Inequalities

A linear equation is an equation of the form ax + b = 0, where a and b are real numbers and a ≠ 0. A linear inequality is an inequality of the form ax + b < 0, ax + b > 0, ax + b ≤ 0, or ax + b ≥ 0.

Triangles

A triangle is a three-sided polygon. The three sides of a triangle are called the base, the hypotenuse, and the other side.

Coordinate Geometry

Coordinate geometry is the study of geometry using coordinates. In coordinate geometry, points are represented by coordinates on a number line or a coordinate plane.

Week 3 - 4: Geometry and Mensuration

• Cover geometry, including theorems and constructions.

• Explore mensuration with a focus on formulas and problem-solving.

• Use Vedantu’s interactive quizzes to test your knowledge.

Challenges: Initial concepts may seem daunting, but stay consistent with your studies. If you encounter difficulties, seek Vedantu’s expert help through live sessions. 

Contents of these chapters:

Geometry

Circles

A circle is a plane figure consisting of all points in the plane that are at a distance less than or equal to a given distance from a given point, the center.

Constructions

Constructions are geometrical drawings that are made using a ruler and compass.

Areas

The area of a figure is the measure of its surface.

Surface Areas and Volumes

The surface area of a solid is the measure of its total surface. The volume of a solid is the measure of its interior space.

Mensuration

• Areas

• Surface areas and volumes

This chapter covers the same topics as the geometry chapter, but it focuses on the measurement of these figures.

Month 2: Delving into Advanced Topics

Week 5 - 6: Trigonometry and Coordinate Geometry

• Dive into trigonometry, focusing on ratios, identities, and applications.

• Learn coordinate geometry, plotting graphs, and distance formulas.

• Vedantu’s doubt-solving sessions can be incredibly helpful.

These chapters cover the following topics:

Trigonometry

• Trigonometric ratios of acute angles in a right-angled triangle

• Proof of the trigonometric ratios of acute angles

• Trigonometric ratios of complementary angles

• Trigonometric ratios of angles greater than 90°

• Trigonometric identities

• Application of trigonometry to height and distance problems

Coordinate Geometry

• Introduction to coordinate geometry

• The distance formula

• The section formula

• The midpoint formula

• The area of a triangle

• The equation of a straight line

• Parallel and perpendicular lines

• Distance from a point to a line

Week 7 - 8: Polynomials and Quadratic Equations

• Master polynomial identities and the quadratic equation.

• Solve a variety of problems to enhance your problem-solving skills.

• Vedantu’s downloadable study materials are a great resource.

These chapters cover the following topics:

Polynomials

• Definition of a polynomial

• Types of polynomials

• Degree of a polynomial

• Operations on polynomials

• Division of polynomials

• Factorization of polynomials

Quadratic Equations

• Definition of a quadratic equation

• Standard form of a quadratic equation

• Roots of a quadratic equation

• Methods of solving quadratic equations

• Nature of roots of a quadratic equation

• Application of quadratic equations

Month 3: Final Preparation and Revision

Week 9 - 10: Statistics and Probability

• Cover statistics concepts and representation of data.

• Understand the basics of probability.

• Vedantu's mock tests and practice papers will be your best friends for evaluation.

These chapters cover the following topics:

Statistics

Statistics is the science of collecting, analyzing, interpreting, and presenting data.

Probability

Probability is the branch of mathematics that deals with the likelihood of events.

Week 11 - 12: Final Revision and Practice

• Dedicate the final weeks to through revision and practice.

• Solve previous years’ question papers and Vedantu’s sample papers

• Go through Vedantu’s revision notes for last-minute revision and clarifications.

Challenges: Time management can be a challenge in the final months. Stick to your schedule, and don’t compromise on revision.

The Benefits of Using Vedantu's Resources to Study for the Class 10 Maths Syllabus

• Comprehensive Syllabus Coverage: Vedantu's resources cover all of the essential topics in the Class 10 maths Syllabus in a clear and concise way.

• Expert Instruction: Vedantu's classes are taught by experienced and qualified teachers who use engaging and effective teaching methods.

• Personalized Learning Experience: Vedantu offers live online classes and recorded video lectures, so students can choose the learning format that works best for them.

• Practice Problems: Vedantu provides students with a variety of practice problems to help them prepare for the exam.

• Doubt-Clearing Sessions: Vedantu offers doubt-clearing sessions where students can get help from teachers on any topic they are struggling with.

Overall, Vedantu's resources can be a great way for students to prepare for the Class 10 maths exam and achieve their academic goals. 

Conclusion

Preparing for the Class 10 maths exam can be a daunting task, especially for struggling students. However, Vedantu’s online learning platform offers valuable resources to support your preparation effectively. Vedantu’s resources cover the comprehensive Class 10 Math Syllabus, provide expert instructions, offer a personalized learning experience, and include practice problems and doubt-clearing sessions. These resources are convenient, affordable and flexible, making them an ideal choice for students looking to excel in mathematics.