## NCERT/CBSE Mathematics Courses - Class 9

Here is a list of all the mathematics courses that will be produced from each chapter of the class 9 book. Essentially, the contents of each chapter will be explained in a single course. As mentioned before, we might make slight changes to the list below while creating the courses, meaning that we might mix tow or more chapters as or when necessary or possible but we will not disturb the natural flow of the material.

1. Number Systems
2. Polynomials
3. Coordinate Geometry
4. Linear Equations in Two Variables
5. Introduction to Euclid's Geometry
6. Lines and Angles
7. Triangles
9. Area of Parallelograms and Triangles
10. Circles
11. Constructions
12. Heron's Formula
13. Surface Areas and Volumes
14. Statistics
15. Probability
16. Appendix 1 - Proofs in Mathematics
17. Appendix 2 - Introduction to Mathematical Modelling

If you expand the accordion below (in case it's not already expanded), you can find some more details related to each of the courses mentioned above.

### Number Systems

• Irrational Numbers
• Real Numbers and their Expansion
• Representing Real Numbers on a Number Line
• Operations on Real Numbers
• Laws of Exponents for Real Numbers

### Polynomials

• Polynomials on One Variable
• Zeroes of a Polynomial
• Remainder Theorem
• Factorization of Polynomials
• Algebraic Identities

### Coordinate Geometry

• Cartesian System
• Plotting a Point in the Plane

### Linear Equations in Two Variables

• Linear Equations
• Solutions of a Linear Equations
• Graph of a Linear Equation in Two Variables
• Equations of Lines Parallel to x-axis and y-axis

### Introduction to Euclid's Geometry

• Euclid's Definitions, Axioms and Postulates
• Equivalent Versions of Euclid's Postulate

### Lines and Angles

• Basic Terms and Definitions
• Intersecting Lines and Non-intersecting Lines
• Pairs of Angles
• Parallel Lines and Transversal
• Lines Parallel to the Same Line
• Angle Sum Property of a Triangle

### Triangles

• Congruence of Triangles
• Criteria for congruence of Triangles
• Some Properties of Triangles
• Some More Criteria for Congruence of Triangles
• Inequalities in a Triangle

• Angle Sum Property of a Quadrilateral
• Properties of a Parallelogram
• Another Condition for a Quadrilateral to be a Parallelogram
• The Mid-point Theorem

### Areas of Parallelograms and Triangles

• Figures on the Same Base and Between the Same Parallels
• Parallelograms on the Same Base and Between the Same Parallels
• Triangles on the Same Base and Between the Same Parallels

### Circles

• The Circle and its Related Terms - A Review
• Angle Subtended by a Chord at a Point
• Perpendicular from a Center to a Chord
• Circle through Three Points
• Equal Chords and their Distances from the Center
• Angle Subtended by an Arc of a Circle

### Constructions

• Basic Constructions
• Some Constructions of Triangles

### Heron's Formula

• Area of a Triangle - by Heron's Formula
• Application of Heron's Formula in Finding Areas of Quadrilaterals

### Surface Areas and Volumes

• Surface Area of a Cuboid and Cube
• Surface Area of a Right Circular Cylinder
• Surface Area of a Right Circular Cone
• Surface Area of Sphere
• Volume of a Cuboid
• Volume of a Cylinder
• Volume of a Right Circular Cone
• Volume of a Sphere

### Statistics

• Collection of Data
• Presentation of Data
• Graphical Representation of Data
• Measures of Central Tendency

### Probability

• Probability - An Experimental Approach

### Appendix 1 - Proofs in Mathematics

• Mathematically Acceptable Statements
• Deductive Reasoning
• Theorems, Conjectures and Axioms
• Mathematical Proofs

### Appendix 2 - Introduction to Mathematical Modelling

• Review of Word Problems
• Some Mathematical Models
• The Process of Modelling, its Advantages and Limitations