Topics
Basic Concepts in Geometry
Angles
 Concept of Angle  Arms, Vertex, Interior and Exterior Region
 Types of Angles Acute, Obtuse, Right, Straight, Reflex, Complete and Zero Angle.
 Introduction to Practical Geometry
 Constructing a Bisector of an Angle
 Constructing a Bisector of an Angle
 Constructing a Copy of an Angle of Unknown Measure
 Angles of Special Measures  30°, 45°, 60°, 90°, and 120°
Integers
Operations on Fractions
 Concept of Fractions
 Types of Fraction
 Concept of Proper Fractions
 Improper Fraction and Mixed Fraction
 Concept for Equivalent Fractions
 Like and Unlike Fraction
 Addition of Fraction
 Subtraction of Fraction
 Fraction on the Number Line
 Multiplication of a Fraction by a Fraction
 Concept for Reciprocal of a Fraction
 Division of Fractions
Decimal Fractions
 Concept of Decimal Numbers
 Place Value in the Context of Decimal Fraction
 Concept of Tenths, Hundredths and Thousandths in Decimal
 Addition of Decimal Numbers
 Subtraction of Decimals Fraction
 Representing Decimals on the Number Line
 Interconversion of Fraction and Decimal
 Multiplication of Decimal Numbers
 Division of a Decimal Number by a Whole Number
 Division of a Decimal Number by Another Decimal Number
Bar Graphs
Symmetry
Divisibility
HCFLCM
Equations
Ratio and Proportion
Percentage
Profit –Loss
Banks and Simple Interest
Triangles and Their Properties
 Concept of Triangles  Sides, Angles, Vertices, Interior and Exterior of Triangle
 Classification of Triangles (On the Basis of Sides, and of Angles)
 Equilateral Triangle
 Isosceles Triangles
 Scalene Triangle
 Acute Angled Triangle
 Obtuse Angled Triangle
 Right Angled Triangle
 Angle Sum Property of a Triangle
 Properties of a Triangle
Quadrilaterals
Geometrical Constructions
Three Dimensional Shapes
Definition
Division: Division is an arithmetic operation that tells us the number of groups that can be made out of a number of factors or the number of multiples that should be there in a group.
Dividend: The word dividend means the number that is to be divided.
Divisor: In a division, the number that divides the dividend is called the divisor.
Divisible: A number is said to be divisible by another number, if, in the process of division, the remainder is zero.
Quotient: A quotient is a result obtained in the division process.
Remainder: Remainder is the number that is left over after dividing.
Notes
Concept of Divisor, Dividend:

Division is an arithmetic operation that tells us the number of groups that can be made out of a number of factors or the number of multiples that should be there in a group.

The symbol denotes division  ÷

Dividend: The word dividend means the number that is to be divided.
Divisor: In a division, the number that divides the dividend is called the divisor.
Divisible: A number is said to be divisible by another number, if, in the process of division, the remainder is zero.
Quotient: A quotient is a result obtained in the division process.
Remainder: Remainder is the number that is left over after dividing.
∴ Dividend = Divisor × Quotient + Remainder.
 When we divide 48 by 4, the remainder is zero. Therefore, 4 is a factor of 48, and 48 is a multiple of 4.
 Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.