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📘 1. Arithmetic (Number System & Basic Operations)
This is the foundation of all math learning.
Topics include:
Whole numbers, integers, rational & irrational numbers
Fractions, decimals, and percentages
Ratio & proportion
Simple and compound interest
Profit, loss, and discount
Time, speed, and distance
Averages and unitary method
📗 2. Algebra
Focuses on symbols and rules for manipulating numbers and expressions.
Key areas:
Algebraic expressions and identities
Linear equations (one and two variables)
Quadratic equations
Polynomials and factorization
Arithmetic and geometric progressions
📙 3. Geometry
Deals with the study of shapes, sizes, and properties of figures.
Important topics:
Lines, angles, and triangles
Circles and quadrilaterals
Similarity and congruence
Coordinate geometry
Constructions (using compass and ruler)
📒 4. Mensuration
Covers measurement of areas, volumes, and perimeters of different geometrical figures.
Includes:
Squares, rectangles, triangles, and circles
Surface area and volume of cubes, cuboids, cylinders, cones, and spheres
📕 5. Trigonometry
Introduced from Class 9 onwards, it studies relationships between sides and angles of triangles.
Main concepts:
Trigonometric ratios (sin, cos, tan, etc.)
Heights and distances
Trigonometric identities and applications
📘 6. Statistics & Probability
Focuses on data handling, analysis, and prediction.
Key topics:
Collection and tabulation of data
Mean, median, and mode
Graphical representation (bar graphs, histograms, pie charts)
Probability of simple events
🧮 7. Calculus (Class 11 & 12)
Introduced in senior secondary classes.
Main areas:
Limits and derivatives
Differentiation and integration
Applications of derivatives (rate of change, maxima/minima)
Area under curves
🔢 8. Vectors & 3D Geometry (Class 12)
Deals with spatial relationships and vector operations.
Topics include:
Vector addition and multiplication
Direction cosines and ratios
Equation of lines and planes in 3D space
