1. Real Numbers

• Introduction to Real Numbers
• Euclid's Division Lemma
• The Fundamental Theorem of Arithmetic
• Irrational Numbers – Revision
• Rational Numbers and Their Decimal Expansions – Revision
• Euclid's Division Algorithm
• Theorems to prove a number is irrational
• Theorems on rational numbers
• Some Applications of the Fundamental Theorem of Arithmetic

2. Polynomials

• Introduction to Polynomials
• Geometrical Meaning of the Zeroes of a Polynomial
• Relationship between Zeroes and Coefficients of a Polynomial
• Division Algorithm for Polynomials

3. Pair of Linear Equations in Two Variables

• Introduction to Pair of Linear equations in two variables
• Pair of Linear Equations in Two Variables
• Graphical Representation of a Pair of Linear Equations
• Graphical Method of Solving Simultaneous Linear Equations
• Algebraic Methods of Solving Simultaneous Linear Equations in Two Variables
• Algebraic Methods of Solving a Pair of Linear Equations
  • Substitution Method
  • Elimination Method
  • Cross-Multiplication Method
• Equations Reducible to a Pair of Linear Equations in Two Variables
• Applications to Word Problems

4. Quadratic Equations

• Introduction to Quadratic Equations
• Solution of a Quadratic Equation by Factorization
• Solution of a Quadratic Equation by Completing the Square
• Nature of roots

5. Arithmetic Progressions

• Introduction to Arithmetic Progressions
• nth term of an AP
• Sum of First n Terms of an AP

6.Triangles

• Introduction to Triangles
• Similar Figures
• Similarity of Triangles and their Properties
• Criteria for Similarity of Triangles
• Areas of Similar Triangles
• Pythagoras Theorem

8.Trigonometry

• Introduction to Trigonometry
• Trigonometric Ratios
• Trigonometric ratios of some Specific Angles
• Trigonometric ratios of complementary angles
• Trigonometric identities

9.Applications of Trigonometry

• Introduction to Applications of Trigonometry
• Heights and Distances

10.Circles

• Introduction to Circles
• Tangent to a Circle
• Number of Tangents from a Point on a Circle

11.Constructions

• Introduction to Constructions
• Division of a Line Segment
• Construction of Tangents to a Circle

12.Area Related to Circles

• Introduction to Areas Related to Circles
• Perimeter and Area of a Circle - Review
• Areas of Sector and Segment of a Circle
• Areas of Combinations of Plane Figures

13.Surface Areas and Volumes

• Introduction to Surface Areas & Volumes
• Surface Area of a Combination of Solids
• Volume of a Combination of Solids
• Conversion of Solid from One Shape to Another
• Frustum of a Cone

14.Statistics

• Introduction to Statistics & Data Handling
• Review of Statistics & Data Handling
• Cumulative Frequency Polygon Curve (An Ogive)
• Frequency Polygon

15.Probability

• Introduction to Probability
• Theoretical Approach to Probability