Syllabus

Subject : Mathematics
Class : 9

• Understanding different number systems, including natural numbers, whole numbers, integers, rational numbers, and irrational numbers.
• Representing numbers on the number line.
• Understanding the properties and operations of different number systems.

• Defining polynomials and their terms, coefficients, and degrees.
• Performing operations (addition, subtraction, multiplication, division) with polynomials.
• Factorizing polynomials and finding their roots.

• Introducing the Cartesian coordinate system.
• Plotting points and locating them on the coordinate plane.
• Understanding the distance formula and midpoint formula.
• Investigating properties of geometric shapes using coordinate geometry.

• Solving linear equations with two variables graphically and algebraically.
• Understanding the concept of a system of linear equations and solving them by various methods.
• Interpreting the solutions of linear equations in real-life contexts.

• Understanding the basic concepts and axioms of Euclidean geometry.
• Investigating properties of points, lines, and planes.
• Exploring the postulates and theorems of Euclidean geometry.

• Investigating properties of lines and angles.
• Understanding concepts such as parallel lines, transversals, and angles formed by intersecting lines.
• Applying angle properties to solve geometric problems.

• Understanding the properties of triangles, including angles, sides, and types of triangles.
• Investigating congruence and similarity of triangles.
• Solving problems involving properties of triangles.

• Understanding the properties of circles, including radius, diameter, circumference, and area.
• Investigating angles formed by tangents and secants.
• Solving problems involving properties of circles.

• Calculating surface areas and volumes of three-dimensional shapes, inc