#### 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
- Fraction on the Number Line
- 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
- 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
- Interconversion of Fraction and Decimal
- Representing Decimals on the Number Line
- Addition of Decimal Numbers
- Subtraction of Decimals Fraction
- 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

##### Quadrilaterals

##### Geometrical Constructions

##### Three Dimensional Shapes

#### notes

**Cone:**

A cone is a three-dimension solid object that has a circular base joined to point by a curved side and one vertex.

**Type of Cone:**

There are two types of cone:

**1. Right Circular Cone:**

A right circular cone is a cone whose base is a circle and whose axis is perpendicular to the base.

This is called a right circular cone.

In Fig, point A is called the vertex, AB is called the height, BC is called the radius, and AC is called the slant height of the cone. Here B will be the center of the circular base of the cone. The height, radius, and slant height of the cone are usually denoted by h, r, and l respectively.

**2. Oblique Cone:**

A cone which has a circular base but the axis of the cone is not perpendicular with the base, is called an Oblique cone.

**Properties of Right Circular Cone:**

- All elements of a right circular cone are equal.
- A section of a right circular cone that contains the vertex and two points of the base is an isosceles triangle.
- A right circular cone is a circular cone whose axis is perpendicular to its base.
- A cone has only one face, which is the circular base but no edges or vertices.
- A cone has only a vertex point.

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