Topics
Number System
Rational Numbers
 Concept of Rational Numbers
 Addition of Rational Number
 Subtraction of Rational Number
 Multiplication of Rational Numbers
 Division of Rational Numbers
 Rational Numbers on a Number Line
 Inserting Rational Numbers Between Two Given Rational Numbers
 Method of Finding a Large Number of Rational Numbers Between Two Given Rational Numbers
Exponents
Squares and Square Root
Cubes and Cube Roots
Playing with Numbers
Sets
Ratio and Proportion
Percent and Percentage
Profit, Loss and Discount
Interest
Direct and Inverse Variations
Algebra
Algebraic Expressions
 Algebraic Expressions
 Degree of Polynomial
 Product , Factor and Coefficient
 Like and Unlike Terms
 Combining like Terms
 Multiplying Monomial by Monomials
 Multiplying a Monomial by a Polynomial
 Multiplying a Polynomial by a Polynomial
 Dividing a Monomial by a Monomial
 Dividing a Polynomial by a Monomial
 Dividing a Polynomial by a Polynomial
 Simplification of Expressions
Identities
Factorisation
Linear Equations in One Variable
Linear Inequations
Geometry
Understanding Shapes
Special Types of Quadrilaterals
Constructions
 Introduction of Constructions
 Construction of an Angle
 To Construct an Angle Equal to Given Angle
 To Draw the Bisector of a Given Angle
 Construction of Angles of 60°,30°,90° and 45°
 Construction of Bisector of a Line
 Drawing the Perpendicular Bisector of a Line Segment
 Construction of Parallel Lines
 Constructing a Quadrilateral
 Construction of Parallelograms
 Construction of a Rectangle When Its Length and Breadth Are Given.
 Construction of Rhombus
 Construction of Square
 Concept of Reflection Symmetry
Representing 3D in 2D
Mensuration
Area of a Trapezium and a Polygon
Surface Area, Volume and Capacity
Data Handling (Statistics)
Data Handling
Probability
notes
Arranging the objects in rows and columns:
Ram has 6 marbles with him. He wants to arrange them in rows in such a way that each row has the same number of marbles. He arranges them in the following ways and matches the total number of marbles.
Description 
Arrangement 
1) 1 marble in each row 

2) 3 marbles in each row 

3) 6 marblesin a row. 

4) 2 marbles in each row 
From these calculations Ramesh observes that 6 can be written as a productof two numbers in different ways as 6 = 1 × 6; 6 = 2 × 3; 6 = 3 × 2; 6 = 6 × 1
From 6 = 2 × 3 it can be said that 2 and 3 exactly divide 6. So, 2 and 3 are the exact divisors of 6. From the other product 6 = 1 × 6, the exact divisors of 6 are found to be 1 and 6. Thus, 1, 2, 3, and 6 are exact divisors of 6. They are called the factors of 6.