Mathematics 9th Std

Standard 9 (School Syllabus Batch – Based on common topics from SSC, CBSE and ICSE boards)

1. Number Systems (Real Numbers)

   1. Irrational Numbers: Introduction to numbers like , , .

   2. Rationalization: Learning to rationalize the denominator (e.g. ).

2. Algebra

   1. Polynomials: Remainder Theorem and Factor Theorem and problems on them

   2. Algebraic Identities: Expanding on Grade 8 to include cubic identities like (a+b+c)² and (x³ + y³ + z³ - 3xyz).

   3. Linear Equations in Two Variables: Introduction to the form ax + by + c = 0 and plotting these on a graph.

3. Geometry 

   1. Triangles: Criteria for similarity, Mid-point Theorem, Basic Proportionality Theorem and problems.

   2. Quadrilaterals: More Complex Problems.

   3. Circles: Properties of chords, angles subtended by arcs, and Cyclic Quadrilaterals.

   4. Coordinate Geometry: Basics of the Cartesian plane, plotting points, and identifying quadrants.

4. Mensuration

   1. Heron’s Formula: Using the semi-perimeter to find the area of a triangle (A = ).

   2. Surface Area and Volume: Moving beyond cubes to Spheres, Hemispheres, and Right Circular Cones.

5. Statistics

   1. Data Representation: Advanced bar graphs, histograms (with varying base lengths), and frequency polygons.

   2. Measures of Central Tendency: Mean, Median, and Mode for ungrouped data.

6. Progressions 

   1. Sequences and Series

   2. AP

   3. GP