- 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
Squares and Square Root
Cubes and Cube Roots
Playing with Numbers
Ratio and Proportion
Percent and Percentage
Profit, Loss and Discount
Direct and Inverse Variations
- 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
Linear Equations in One Variable
Special Types of Quadrilaterals
- 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 3-D in 2-D
Area of a Trapezium and a Polygon
Surface Area, Volume and Capacity
Data Handling (Statistics)
Variations: If the values of two quantities depend on each other in such a way that a change in one causes a corresponding change in the other, then the two quantities are said to be in variation.
The value of a variable is not constant and keeps on changing. There are many quantities whose value varies as per the circumstances means variation in one quantity bringing in variation in the other quantity.
If the values of two quantities depend on each other in such a way that a change in one causes a corresponding change in the other, then the two quantities are said to be in variation.
- If the number of articles purchased increases, the total cost also increases.
- More the money deposited in a bank more is the interest earned.
- As the speed of a vehicle increases, the time taken to cover the same distance decreases.
- For a given job, the more the number of workers less will be the time taken to complete the work.