CLASS VII 
CLASS VIII 
CLASS IX 
Number Systems 1. Properties of Operations on Whole Numbers 
Factors and Multiples 1. Factors and Multiples 2. Divisibility Test 3. H.C.F (G.C.D) and L.C.M 
Rational and Irrational Numbers, Surds 
Integers 1. Introduction to Integers 2. Properties of Addition and Subtraction of Integer 3. Properties of Multiplication and Division of Integer 
Set Concepts 
Profit, Loss and Discounts 1. Profit and Loss 2. Marked Price and Discounts 
Introduction to Set Concepts 
Number system – 1 1. Whole Numbers, Integers and Rational Numbers 2. Properties of Operation on Rational Numbers 3. Density Property of Rational Numbers 4. Rational Numbers on Number Line 5. Real Number System 6. Irrational Number 7. Rationalisation 
Compound Interest 1. Amount: Rate of Interest Same 2. Amount: Rate of Interest Changes 
Operations on Sets and Venn Diagrams 
Square and Square Roots 
Expansion 1. Expansions Using Square Identities 2. Expansions Using Square Identities 
HCF and LCM of Numbers 
Decimal – 1 1. Decimal Numbers 2. Operations on Decimals 3. Decimals and Fractions 4. H.C.F and L.C.M of Decimals 
Factorisation 1. Factorisation of Polynomials 2. Factorisation: Split the Middle Term 3. Factorisation using the Square and Cubic Identities 
Introduction and Operations on Decimal Numbers 
Cubes and Cube Roots 
Changing the Subject of the Formula 1. Concept of Formulae 
Fractions 1. Introduction to Fractions 2. Operations on Fractions and Word Problems 
Percentage Increase and Decrease 
Linear Equations and Simultaneous Equations 1. Solving Linear Equations 2. Substitution and Elimination Method 
Powers and Roots 1. Introduction to Powers 2. Squares and Square Roots 3. Cubes and Cube Roots 
Profit, Loss and Discount Problems 
Indices 1. Laws of Exponents 2. Simplification of Exponents 
Ratio and Proportion 
Simple and Compound Interest 
Logarithms 1. Concept of Logarithms and Applications 2. Logarithms 
Unitary Method and its Applications 
Ration and Proportion 1. Ratio of Quantities 2. Direct Proportion 3. Indirect Proportion 
Triangles and its Properties 
Percentage 1. Problems on Percentage 2. Profit and Loss 3. Discounts 4. Simple interest 
Time and Distance 
Congruent Triangles 1. Congruence Criteria: SAS and ASA 2. Congruence Criteria: SSS and RHS 
Introduction and Operations on Algebraic Expressions 
Unitary Method and its Applications 1. Time and work 2. Pipes and Cisterns 
Properties of Isosceles Triangles 
Frequency Distribution and Mean 
Fundamental Concepts and Operations 1. Addition, Subtraction, Multiplication and Division of Polynomials 
Inequalities in A Triangle 
Problems on Perimeter and Area 
Algebraic Identities 1. Product of Two Binomials 2. Squaring A Binomial and trinomial 
Construction of Triangle 
Introduction and Laws of Exponents 
Factorisation 1. Factorisation by Grouping Terms 2. Factorising Trinomial 
MidPoint Theorem 1. Midpoint Theorem 2. Basic Proportionality Theorem 3. Division of a Line Segment 
Special Products (Some Special Identities) 1. Introduction to Identities 
Simplification of Algebraic Expression 1. HCF and LCM of Polynomials 2. Operations on Algebraic Fraction 
Similarity 1. Concept of Similarity 2. Criteria of Similar Triangles 
Linear Equations in One Variable 1. Solving Simple Equations and Word problems 
Concept of Formula 
Pythagoras Theorem 
Graphs 1. Introduction to Graphs 2. Graphs of a Linear Equation 
Laws of Exponents 
Rectilinear Figures 1. Polygons 2. Quadrilaterals 3. Parallelograms: Basic and Diagonal Properties 
Volume and Surface area of Solids 1. Surface Area and Volume of Cube and Cuboid 
Linear Equation 1. Linear Equation in One Variable 2. Applications of Linear Equations 3. Simultaneous Linear Equations 
Construction of Quadrilaterals 1. Construction of Quadrilaterals and Parallelograms 2. Construction of Trapezium, Regular Polygons and Triangles 
Basic Geometrical Concepts – Lines and Angles 
Solving of Simultaneous Equation 
Area Theorems 1. Concept of Area of Region 2. Area of Parallelograms and Triangles 
Applications and Conditions of Congruence of Triangles 
Application of Simultaneous Equations 
Statistics: Grouping and Tabulation of Data 
Properties of Parallel Lines 
Linear Graphs 1. Graphical Representation 2. Graphical Solution 
Mean and Median of Ungrouped Data 1. Arithmetic Mean and Median 2. Graphical Representation of Data 
Polygons 1. Polygons and Their Classification 2. Types of Quadrilateral 3. Construction of Rectangles and Squares 
Quadratic Equations 
Mensuration I 1. Perimeter and Area of Plane Figures 2. Area of Quadrilaterals 3. Areas of Combination of Figures 4. Area of Perimeter of Circle 5. Area of Sectors 
Basic Constructions 
Linear Inequations 1. Solution set of an Inequality on a Number Line 2. Solving Combined Inequalities 
Mensuration II 1. Surface Area of a Cube and Cuboid 2. Volume of Cube and Cuboid 3. Surface Area of Cylinder 4. Volume of a Cylinder 
Triangles 1. Classification and Properties of Triangles 2. Construction of Triangles 
Representation of A Relation and Function 
Trigonometry 1. Trigonometric Ratio 2. Trigonometric Ratios of Standard Angles 3. Complementary Angle Relations 
Introduction to Circles 
Basic Concept of Geometry 1. Types of Angles 2. Parallel Lines 
Coordinate Geometry – I 1. Cartesian Plane 2. Graphical Representation 3. Straight Lines 
Graphical Representation of Data 1. Bar Graphs, Line Graphs and Pie Charts 
Triangles 1. Classification of Triangles 2. Angle Sum Property of a Triangle 3. Pythagoras Theorem 4. TriangleInequality Properties 5. Congruence of Triangle 

Line Symmetry 
Special Types of Quadrilateral 1. Properties of a Parallelogram 2. Quadrilaterals 3. Polygons 

Factorization of Algebraic Expressions 
Construction of Special Types of Quadrilaterals 1. Construction of Quadrilaterals 2. Construction on Rectangles and Squares 3. Construction of Parallelogram and Rhombus 

Simplification of Algebraic Expression 
Some Theorems on Area 1. Area of Parallelogram and Triangles 

Distance, time and Speed 
Cord and Angle Properties of a Circle 

Finding Average 
Constructions 1. Basic Construction 2. Construction on Triangles and Circles 

Farming a Formula 
Line Symmetry, Reflection and Rotation 

Linear Equations 1. Solving Inequations 
Area of Rectilinear Figures 1. Area and Perimeter of Quadrilaterals 2. Area of Triangle 

Relations and Mapping 1. Ordered Pairs and Relations 
Circumference and Area of Circle 

Coordinate Geometry – Introduction to Reflection 
Volume and Surface area of Solids 1. Volume of Cube and Cuboid 2. Surface Area of a Cube and Cuboid 

Introduction to Rotation 
Data Handling 1. Frequency Distribution 2. Arithmetic Mean 3. Grouped Frequency Distribution 4. Median and Mode 5. Bar Graphs and Histograms 
