**Real Number** |

Introduction on real number, Division Lemma and Algorithm |

Problems on Division Lemma and Algorithm |

Fundamental Theorem of Arithmetic and its Problems |

Relation between HCF and LCM of three numbers and its Problems |

Rational and Irrational numbers, Theorems and Examples |

Decimal Expansion of Rational Numbers |

Problems |

**Polynomials** |

Polynomial in one variable, Degree of Polynomial |

Value of Polynomial, Zero of Polynomial |

Graph of Linear Polynomial |

Graph of Quadratic Polynomial |

Graph of Cubic Polynomial |

Relation Between Zeros and Coefficient |

Relation Between Zeros and Coefficient of a cubic polynomial |

Division Algorithm for Polynomials |

Algebraic Identities |

Problems |

**Pair of Linear Equations in Two Variables** |

Linear Equations in one variable and their graphs in cartesian plane |

Pair of Linear Equations in two variables |

Graphical Representation for a pair of linear Equations in two variables |

Consistency of Pair of Linear Equations |

Solving a pair of linear equations: Substitution method |

Solving a pair of linear equations: Elimination method |

Solving a pair of linear equations: Cross Multiplication method, and its Problems |

Reducing to Linear Equations, examples |

Problems |

**Quadratic Equations** |

Introduction and Problems |

Solution of Quadratic equation by Factor Method |

Solution of Quadratic equation by completing the square |

Solution of Quadratic equation using Quadratic Formula |

Nature of Roots of quadratic equation and problems |

Problems |

**Arithmetic Progressions** |

Introduction of Sequence |

Introduction of Arithmetic Progression |

Nth Term of A.P. |

Sum of n terms of A.P. |

Problems |

**Triangles** |

Line/Angle Revision |

Triangle Revision |

Quadrilateral Revision |

Area Revision |

Congruent and similar figures and its Problems |

Basic Proportional Theorem |

Converse of Basic Proportional Theorem and Example |

Similar triangles, theorems, criteria |

Area Theorem |

Problems |

**Coordinate Geometry** |

Cordinate system in plane, distance formula |

Section Formula |

Area of Triangle |

Problems |

**Introduction to Trigonometry** |

Introduction, Trigonometric Ratios, Relation between Trigonometric Ratios |

Values of Trigonometric Ratios of angle 45 Degree |

Values of Trigonometric Ratios of angle 30-60 Degree |

Values of Trigonometric Ratios of angle 0-90 Degree |

Trigonometric Ratios of Complementary Angles |

Identities and Trigonometric Identities |

Problems |

**Some Applications of Trigonometry** |

Application of trigonometry, line of sight, angle of elevation, angle of depression |

Problems |

**Circles** |

Revision of Class IX |

Intersection of a line and a circle in a plane |

Theorem : Tangent to a Circle and Converse |

Number of Tangent from a point on a circle, theorem of Tangent from External Point |

Problems |

**Constructions** |

Problems based on Construction |

**Area Related to Circle** |

Perimeter and Area of Circle and its Problems |

Area of Sector and Segment of a Circle |

Problems |

**Surface Area and Volumes** |

Revision of Class IX |

Frustum of a Cone |

Area and volume of frustum |

Problems |

**Statistics** |

Mean of raw data, mean of ungrouped and grouped frequency distribution |

Mode of Grouped Data |

Median, median of ungrouped data |

Median of grouped frequency distribution |

Graphical representation of cumulative frequency distribution |

Problems |

**Probability** |

Probability, Sample Space, Sample Point, Random Experiments |

Event |

Probability Definition |

Problems |