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
HCF-LCM
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.