CBSE Class 10 Maths की मजबूत तैयारी with Real Numbers, Polynomials और Linear Equations, conceptual learning, problem-solving और exam-focused practice.

CBSE Class 10 Mathematics – Part 1 is the first part of a four-part Mathematics series designed to cover the complete Class 10 Mathematics syllabus. The course focuses on building strong conceptual understanding, improving mathematical problem-solving skills and preparing students systematically for CBSE school and board examinations.
This part covers three important chapters: Real Numbers, Polynomials, and Pair of Linear Equations in Two Variables. Students learn concepts through clear explanations, solved examples, numerical practice, application-based questions and regular assessment.

1. Real Numbers (वास्तविक संख्याएँ)
Students develop a strong understanding of the properties and applications of real numbers. The chapter covers:
• Euclid’s Division Lemma
• Fundamental Theorem of Arithmetic
• LCM and HCF
• Irrational Numbers
• Rational Numbers and their Decimal Expansions
• Solved Examples and Practice Questions
The focus is on developing systematic approaches to numerical problems and strengthening fundamental mathematical reasoning.

2. Polynomials (बहुपद)
Students learn important concepts related to polynomials and their zeroes. The chapter includes:
• Introduction to Polynomials
• Geometrical Meaning of the Zeroes of a Polynomial
• Relationship Between Zeroes and Coefficients
• Division Algorithm for Polynomials
• Solved Examples and Practice Questions
Students practise algebraic and application-based problems to improve accuracy and conceptual clarity.

3. Pair of Linear Equations in Two Variables (दो चर वाले रैखिक समीकरण युग्म)
This chapter develops systematic methods for solving pairs of linear equations in two variables. Topics include:
• Linear Equations in Two Variables
• Pair of Linear Equations in Two Variables
• Word Problems
• Graphical Method of Solution
• Algebraic Methods of Solution
• Substitution Method
• Elimination Method
• Cross-Multiplication Method
• Equations Reducible to a Pair of Linear Equations
• Miscellaneous Solved Problems
Students learn how to identify appropriate methods and apply them to numerical and real-life problems.

Examination Preparation and Practice
The course emphasizes regular practice and examination-oriented preparation. Students work on previous 10 years' CBSE question papers, along with basic and advanced-level tests designed according to the expected CBSE examination pattern.
Teachers may conduct:
• Basic-level tests
• Advanced-level tests
• Previous-year paper practice
• Chapter-wise practice
• Application-based questions
• Revision and assessment sessions

What Students Will Gain
• Strong foundation in Class 10 Mathematics
• Better conceptual clarity and mathematical reasoning
• Improved algebraic and numerical problem-solving skills
• Greater confidence in solving CBSE examination questions
• Practice with previous-year questions
• Better speed and accuracy through regular testing
• Strong preparation for the Class 10 Board Examination
• Foundation for higher-level Mathematics and competitive examinations

Days

Lecture Title

Topics Covered

Day # 1

Real Numbers (वास्तविक संख्याएँ)

Introduction, Rational and Irrational Numbers

Day # 2

Real Numbers (वास्तविक संख्याएँ)

Euclid’s Division Lemma

Day # 3

Real Numbers (वास्तविक संख्याएँ)

The Fundamental Theorem of Arithmetic, LCM & HCF

Day # 4

Real Numbers (वास्तविक संख्याएँ)

Irrational Numbers, Rational Numbers and Their Decimal Expansions

Day # 5

Real Numbers (वास्तविक संख्याएँ)

Past 10 Year Paper Solution and Important questions Practice

Day # 6

Polynomials (बहुपद)

Introduction, Types of polynomials, zero and roots

Day # 7

Polynomials (बहुपद)

Geometrical Meaning of the Zeroes of a Polynomial, Relationship between Zeroes and Coefficients of a Polynomial, Solved Problems

Day # 8

Polynomials (बहुपद)

Division Algorithm for Polynomials

Day # 9

Polynomials (बहुपद)

Past 10 Year Paper Solution and Important questions Practice

Day # 10