CLASS X 
CLASS XI 
CLASSXII 
Trigonometrical Identities 1. Trigonometric Tables 2. Trigonometric Ratios of Complementary Angles 3. Trigonometric Identities 
Sets 1. Set Notations 2. Subset and Superset 3. Operations on Sets 4. Algebra of Sets 5. Counting Theorems 
Continuity and Differentiability 1. Continuity 2. Differentiability and Chain Rules 3. Differentiation: Implicit Functions 4. Differentiation of Exponential Functions 5. Second Order Derivatives 6. Logarithmic Functions 7. Difference of Parametric Function 
Statistics: Graphical Representation Histogram and Ogive 
Relations and Functions 1. Cartesian Product of Sets 2. Relations 3. Functions 4. Graphs and Algebra of Functions 
Inverse Trigonometric Functions 1. Introduction: Inverse Trigonometry 2. Properties of Inverse Trigonometry 
Applications of Probability 
Principle of Mathematical Induction: Introduction and Application 
Matrices 1. Introduction to Matrices 2. Matrix Operations 3. Transpose of a Matrix 4. Elementary Operations 
Compound Interest using Formula and Without Formula 
Complex Numbers and Quadratic Equations 1. Introduction to Complex Numbers 2. Geometry of Complex Numbers 3. Quadratic Equations 4. Square Root of a Complex Number 
Determinants 1. Introduction to Determinants 2. Properties and Application of Determinants 3. Minors and Cofactors 4. Solving Simultaneous Equations 
Sales tax and Value Added Tax 
Linear Inequalities 1. Linear Inequalities: One Variable, 1 and 2 Variables 2. Graphical Solutions 3. Word Problems: Linear Inequalities 
Applications of Integrals 1. Area between a Curve and a Line 2. Area between two Curves 
Banking 1. Interest on Savings Bank Account 2. Interest on Recurring Bank Account 
Trigonometric Functions 1. Introduction to Trigonometric Functions 2. Degree Measure and Radian Measure 3. Graphs of Trigonometric Functions 4. Trigonometric Equations 5. Sign of Trigonometric Functions 6. Multiple Angle Formulae 7. Advanced Trigonometric Formula 8. Sum and Difference Formulae 9. Basic Trigonometric Formulae 10. Sine and Cosine Laws 
Integrals 1. Introduction to Integration 2. Problems on Definite Integrals 3. Properties of Definite Integrals 4. Evaluating Definite Integrals 5. Limit of a Sum 6. Integration by Parts and Partial Fractions 7. Integrals of Special Functions and Trigonometric Identities 8. Integration by Substitution 9. More Problems on Integrations 
Shares and Dividend 
Permutations and Combinations 1. Fundamental Principles of Counting 2. Permutations: Distinct and NonDistinct Objects 3. Combinations 4. Applications of Permutations and Combinations 
Differential Equations 1. Nitro: Differential Equations 2. Variable Separable Form 3. Homogenous Differential Equations 4. Linear Differential Equations 
Linear Equations 1. Solving Inequations 2. Solving Joint Inequations 3. Representation of the Solution on the Number Line 
Binomial Theorem 1. Binomial Theorem for Positive Index 2. General Terms in Binomial Expansion 
Applications of Derivatives 1. Rate of Change and Approximations 2. Increasing and Decreasing Functions 3. Tangents and Normals 4. MaximaMinima I & II Derivative Test 
Quadratic Equations 1. Introduction to Quadratic Equations 2. Solving Quadratic Equations using the Formula 3. Method of Completing the Square 4. Nature of Roots 5. Word Problems: Quadratic equations 6. Equations Reducible to Quadratic Form 7. Solution of Quadratic Equations by Factorisation 
Sequences and Series 1. Arithmetic Progression and Arithmetic Mean 2. Geometric Progressions 3. Relation Between AM and GM 4. Special Sequences and Series 5. Introduction to Sequences 6. Sum to Infinity of a GP 
Continuity and Differentiability 1. Continuity 2. Differentiability and Chain Rules 3. Differentiation: Implicit Functions 4. Differentiation of Exponential Functions 5. Second Order Derivatives 6. Logarithmic Functions 7. Difference of Parametric Functions 8. Mean Value Theorems 
Coordinate Geometry Reflection 
Straight Lines 1. Basic Concept of 2D Geometry 2. Slope of a Line 3. Various Forms of Equation of a Line 4. Normal and General Form of a Line 5. Distance between Lines 6. Shifting of Origin 
Vector Algebra 1. Introduction to Vector Algebra 2. Properties of Vectors 3. Scalar Product of Two Vectors 4. Cross Product 
Ratios and Proportion 
Conic Sections 1. Circles 2. Parabola 3. Ellipse 
Three Dimensional Geometry 1. Introduction to 3D Geometry 2. Cartesian Equation of a Line 3. Skew Lines 4. Equation of Plane 5. Intercept Form and Family of Planes 6. Distance of a Point from a Plane 
Factorisation by Using Factor Theorem and Reminder Theorem 
Introduction to 3Dimentional Geometry 1. Introduction 2. Distance Formula: 3D Geometry 3. Section Formula: 3D Geometry 
Linear Programing 1. Introduction to Linear Programing 2. Optimal Solution 3. Solution of Linear Programing Problems 
Matrices 1. Introduction to Matrices 2. Algebra to Matrices 3. Multiplication of Matrices 
Limits and Derivatives 1. Introduction and Algebra of Limits 2. Limits of Rational Functions and Trigonometric Functions 3. Measuring of Derivatives 4. Sum and Difference Rule 5. Infinite Limits 6. Logarithmic and Exponential Limits 
Probability 1. Introduction to Conditional Probability 2. Independent Events 3. Bayes’ Theorem 4. Distribution of Random Variables 5. Binomial Distribution 6. Mean and Variance of a Random Variable 
Distance and Section Formulae 1. Section and MidPoint Formula 2. Distance Formula 
Mathematical Reasoning 1. Mathematical Statement 2. Implications and Validating of Statements 

Equation of a Line 1. Slope of a Line 2. Various Forms of Equation of A Line 
Probability 1. Introduction to Probability 2. Axiomatic Probability 3. Problems on Probability 

Symmetry 1. Line Symmetry 2. Drawing Symmetrical Figures 
Statistics 1. Mean Deviation 2. Variance and Standard Deviation 

Similarity 1. Applications to Maps and Models 2. Similar Triangles 3. Area of Similar Triangles 


Loci: Concepts, Theorems and Applications of Loci 


Circle: Arc, Chord and Cyclic Properties 1. Cyclic Quadrilaterals 2. Chord Properties 


Circle: Chords and Tangent Properties 1. Alternate Segment Properties 2. Secant and Tangent Properties 3. Properties of Tangents 4. Common Tangents: Direct and Transverse 


Circle: Constructions 1. Construction of Tangents 2. Construction Incircle, Circumcircle 


Mensuration: Circle 1. Area of Circular Regions 2. Semicircle and Quadrant 


Mensuration: Right Circular Cone Sphere 1. Surface Area and Volume of a Cone 2. Surface Area and Volume of Sphere and Hemisphere 3. Surface Area and Volume of Combination of Solids 4. Conversion of Solids 


Heights and Distances 1. Introduction 2. Applications 


Measures of Central Tendency Mean 1. Arithmetic Mean of Grouped Data 


Measures of Central Tendency Median and Mode 1. Median and Mode of Grouped Data 

