Class 9 Mathematics Master Hub (New Curriculum)
Complete Coverage: Every Single Activity, Thought Experiment & Theorem Across All 12 Chapters
Chapter 1: Number Systems
Activity 1.1: Square Root Spiral Construction
Visualize the step-by-step geometric construction of irrational surd lengths (sqrt(2), sqrt(3), sqrt(4)...).
Spiral Steps (n):
Constructed length = sqrt(5) ≈ 2.24
Activity 1.2: Visualising Real Numbers on Number Line (Successive Magnification)
Explore magnifying decimal expansions (e.g., 3.765) step-by-step.
Zoom level 3: Located between 3.76 and 3.77
Activity 1.3: Rationalising Denominators & Surd Laws
Convert surd denominators into clean rational numbers.
Expression: 1 / (sqrt(5) + sqrt(2))
Rationalised Form = (sqrt(5) - sqrt(2)) / 3
Chapter 2: Polynomials
Activity 2.1: Polynomial Value & Zero Finder
Evaluate polynomial expressions p(x) for specific variable values.
Activity 2.2: Remainder Theorem & Factor Theorem Verification
Check remainders without full long division.
Remainder is 0 → (x - a) is an exact factor!
Activity 2.3: Algebraic Identities Area Model Verification
Verify identities like (x + y)^3 and sum/difference cubes using geometric blocks.
Chapter 3: Coordinate Geometry
Activity 3.1: Cartesian Coordinate Plotter & Quadrants
Plot coordinates (x, y) and identify their corresponding quadrants and axes locations.
Chapter 4: Linear Equations in Two Variables
Activity 4.1: Line Graph of Ax + By + C = 0
Find multiple solutions and plot the straight line graph for linear equations.
Equation: 2x + y = 6
Solutions: (0, 6), (1, 4), (2, 2), (3, 0). Straight line plotted.
Chapter 5: Introduction to Euclid's Geometry
Activity 5.1: Euclid's Axioms and Postulates Visualizer
Demonstrate fundamental postulates (e.g. Postulate 5: Parallel Postulate).
Through a given point not on a line, exactly one parallel line can be drawn.
Chapter 6: Lines and Angles
Activity 6.1: Parallel Lines & Transversal Angle Relations
Explore corresponding, alternate interior, and co-interior angles dynamically.
Angle Slider: 70°
Alternate interior angles are equal at 70°
Chapter 7: Triangles
Activity 7.1: Triangle Congruence Criteria (SAS, ASA, SSS, RHS)
Verify triangle congruence rules and inequalities in triangles.
Triangles are congruent under SAS criterion.
Chapter 8: Quadrilaterals
Activity 8.1: Mid-Point Theorem & Parallelogram Properties
Verify that diagonals of a parallelogram bisect each other and mid-point properties.
Segment DE is parallel to BC and half of BC.
Chapter 9: Circles
Activity 9.1: Angle Subtended by an Arc at Center & Circumference
Verify that the central angle is twice the circumference angle.
Arc Central Angle: 100°
Circumference angle = 50.0° (Half of 100°)
Chapter 10: Heron's Formula
Activity 10.1: Triangular Area Calculator via Heron's Formula
Compute areas of scalene triangles using semi-perimeter s = (a+b+c)/2.
Chapter 11: Surface Areas and Volumes
Activity 11.1: Sphere, Cone & Cylinder Mensuration
Calculate total surface areas and volumes for 3D solids.
Chapter 12: Statistics
Activity 12.1: Mean, Median, and Mode for Grouped Data
Compute statistical averages from frequency distributions and histograms/frequency polygons.
Mean = 28.5 | Median = 27.0 | Mode = 25.0