This comprehensive Foundation syllabus is designed in alignment with the school curriculum and structured to prepare students for competitive exams like Joint Entrance Examination (JEE), NTSE, and Olympiads.

📘 MATHEMATICS

🔹 Class IX

1. Number Systems

• Real Numbers
• Irrational Numbers
• Laws of Exponents
• Surds & Indices (Foundation Level)

2. Polynomials

• Algebraic Identities
• Factorization
• Remainder & Factor Theorem (Introductory)

3. Coordinate Geometry

• Cartesian Plane
• Plotting Points
• Distance Formula (Basic)

4. Linear Equations in Two Variables

• Graphical Representation
• Word Problems

5. Euclid’s Geometry

• Axioms & Postulates

6. Lines & Angles

• Theorems & Applications

7. Triangles

• Congruency
• Inequalities in Triangles

8. Quadrilaterals

9. Circles

10. Heron’s Formula

11. Surface Areas & Volumes

12. Statistics & Probability

🔹 Class X

1. Real Numbers (Euclid’s Division Lemma, HCF & LCM)

2. Polynomials

• Zeroes of Polynomials
• Relationship Between Zeroes & Coefficients

3. Pair of Linear Equations in Two Variables

4. Quadratic Equations

5. Arithmetic Progressions

6. Triangles (Similarity Theorems)

7. Coordinate Geometry

• Distance Formula
• Section Formula
• Area of Triangle

8. Trigonometry

• Trigonometric Ratios
• Identities
• Heights & Distances

9. Circles & Constructions

10. Areas Related to Circles

11. Surface Areas & Volumes

12. Statistics & Probability

⚛️ PHYSICS

🔹 Class IX

1. Motion
2. Laws of Motion
3. Gravitation
4. Work, Energy & Power
5. Sound
6. Units & Measurements
7. Density & Relative Density
8. Basic Numericals (Advanced Practice)

🔹 Class X

1. Light – Reflection & Refraction
2. Human Eye & Optical Instruments
3. Electricity
4. Magnetic Effects of Electric Current
5. Sources of Energy
6. Numerical Problem Solving (Competitive Level)

🧪 CHEMISTRY

🔹 Class IX

1. Matter in Our Surroundings
2. Is Matter Around Us Pure?
3. Atoms & Molecules
4. Structure of Atom
5. Valency & Chemical Formula Writing
6. Mole Concept (Foundation Level)

🔹 Class X

1. Chemical Reactions & Equations
2. Acids, Bases & Salts
3. Metals & Non-Metals
4. Carbon & Its Compounds
5. Periodic Classification of Elements
6. Basic Organic Chemistry (Foundation for XI)

🧠 MENTAL ABILITY & OLYMPIAD MODULE

• Logical Reasoning
• Analytical Reasoning
• Mathematical Aptitude
• Higher Order Thinking Skills (HOTS)
• NTSE Stage I Preparation
• Olympiad Practice Sets

📊 Assessment Pattern

• Weekly Practice Sheets
• Monthly Tests
• Quarterly Major Tests
• Olympiad Level Mock Tests
• Performance Analysis & Mentoring