Mathematics

Algebra covers chapters such as Sets, Ratio and Proportion, Polynomials, Linear Equations in Two Variables and, Financial Planning

Algebra

Arithmetic

Statistics

Geometry covers chapters such as Circle, Triangles, Quadrilaterals, Coordinate Geometry, Parallel Lines, Surface Area and Volume, Basic Concepts in Geometry and, Constructions of Triangles

Geometry

Trigonometry contains chapter Trigonometry

Trigonometry

MHB - Math Part-I

Mathematics Part 2 Standard Nine

MATHEMATICS Textbook for Class IX

Implications of Conditional Statements

Trigonometric Ratios of Complementary Angles

Applications of Euclid's Division Lemma

Trigonometric Ratios for the Angle of 30 Degrees

Problem Based on Midpoint Theorem

Converse of Midpoint Theorem

Proof of Midpoint Theorem

Midpoint Theorem

Illustration on Trigonometric Ratio for Given Ratio

Complement of Set

The Intersection in Set Operations

The Union in Set Operations

Venn Diagrams

Subsets and Equal Sets

Universal Set and Subsets

Equivalent Sets

Finite and Infinite Sets

Empty Set

Cardinality and Types of Sets

Notations for a Set

Trigonometric Identities

Division of a Trinomial by a Trinomial

Illustration Based on the SAS Criterion

Parallel & Transversal Lines: Illustration

Application of the Remainder Theorem: Example 2

Application of the Remainder Theorem: Example 1

Factor Theorem: Illustration

Remainder Theorem and Factor Theorem

Dividing Polynomial by a Polynomial

Exponents and Surds

Irrational Numbers: Geometrical Representation

Non-terminating Non-recurring Decimals

Introduction to Polynomials

Monomials, Binomials and Trinomials

Representing Rational Numbers on a Number Line

Numerator and Denominator of a Rational Number

Simple and Compound Interest

Triangle Inequality Theorem

The Angle Sum Property of Triangle: Example

Triangle Angle Sum Theorem: Illustration

Angle Sum Property of a Triangle

Exterior Angle Theorem

Exterior Angle of a Triangle

Converse of Alternate Interior Angles

Angles Made by Transversal of Parallel Lines

Understanding Co- Interior Angles

Proportion

Introduction to Ratios

Interpretation of a Bar Graph

Basics of Bar Graph

Introduction to Data Handling

Organising Data and Frequency of Data

Basics of Data

Parts of a Circle

Introduction to Lines

Centroid - Meaning

Derivation of Distance Formula 2D

Ordered Pair Corresponding to a Point

Coordinates of Different Quadrants

Quadrants in the Cartesian System

Modulus Function: Illustration

Methods of Describing a Set

Introduction to Sets

Conversion of Cumulative into Ordinary Frequency

Volume of Ice Cream Cone

Volume of Solids

Trigonometric Ratios: Illustration 2

Defining Sine and Cosine Ratios and Their Range

Visualising Trigonometric Ratios for Same Angle

Introduction to Trigonometry

Coordinates of the Incentre

Application of Distance Formula in 2-D

Criteria for Similarity of Two Triangles

Similarity of Triangles

Similar Figures

Quadratic Polynomial

Solution of Two Simultaneous Linear Equations

Application of Linear Equations in Two Variables

Division of a Polynomial by a Polynomial

Degree of a Polynomial

Mode of Data

Median of Ungrouped Data: Illustration

Median of Ungrouped Data

Problem on Finding Corrected Mean

Illustration of Mean of Ungrouped Data

Arithmetic Mean of the Data

Understanding Raw Data

Introduction to Statistics

Volume of Cone and Sphere

Volume of Cone:Illustration

Volume of a Cone

Volume of a Cylinder When Radius is Doubled

Introduction to the Volume of a Cylinder

Practical Applications of Volume of Solids

Volume of Cuboid and Cube: Examples

Surface Area of Hemisphere

Surface Area of a Sphere

Total Surface Area of a Cone

Curved Surface Area of a Cone: Examples

Curved Surface Area of a Cone

This chapter describes the terms related to a cone and gives the formula to find surface area and volume. It also explains the surface area of a sphere and includes some solved examples to explain the application of these formulas.

Surface Area and Volume

This chapter right-angle triangle and trigonometric ratios. It&nbsp;discusses a theorem related to trigonometric ratios and an important equation of trigonometry. It also provides us with some relevant examples.

In this chapter, we review concepts of geometry and graphs of linear equations for the better understanding of coordinate geometry. We learn formula of distance between two points, collinear points, section formula, centroid and area of a triangle.

Coordinate Geometry

In this chapter, we will learn about the circle and its components. It explores the properties of a chord and congruent chords. It also explains the method to construct the incircle and the circumcircle of a triangle.

Circle

This chapter discusses the properties of the rectangle, rhombus, and square. It includes a test to check if the given figure is a parallelogram or not, and explores the theorem of mid-points of two sides of a triangle

Quadrilaterals

This chapter explains three methods of the construction of a triangle. It&nbsp;explores the statement of the perpendicular bisector theorem and gives some exercises and examples to teach us about the construction of the triangles.

Constructions of Triangles

This chapter explores theorems on triangles and properties of exterior angles of a triangle. We will learn about similar triangles and similarity of triangles. It describes the properties of inequalities of sides and angles of triangle.

Triangles

This chapter explores the properties of parallel lines and includes the theorems related to parallel lines. It describes some tests to verify whether the two given lines are parallel or not.

Parallel Lines

This chapter focuses on the concepts related to a line segment. It defines the coordinates, distance, and midpoint of the line segment. It covers the properties of congruent line segments and explores the conditional statements with their converse.

Basic Concepts in Geometry

In this chapter, we will explore the sub-divided and percentage of bar-diagrams. It explains the grouped and ungrouped distribution of data. Mean, median, and mode for ungrouped data are also illustrated here.

This chapter introduces the concept of financial planning. It explains the methods of forming tax structure, simplification based on savings and investments. The computation of income-tax is also illustrated here.

Financial Planning

This chapter covers topics such as Introduction to Linear Equation in Two Variables and the Solution of such Linear Equations.

Linear Equations in Two Variables

This chapter covers Introduction to Ratio &amp; Properties of Proportion.

Ratio and Proportion

This chapter highlights the concept of polynomials. It explains the degree and operations of polynomials. It also demonstrates the synthetic division and remainder theorem with the aid of examples and exercises.

Polynomials

In this chapter, we will focus on the properties of rational numbers and irrational numbers. It describes the surds, their comparison, and operations of quadratic surds. The rationalization of quadratic surds is also discussed here.

Real Numbers

This chapter introduces the concept of sets and their types. It explains the methods of writing the equations based on sets and Venn diagrams. Operations on sets and union of sets are also described here.

Sets

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