Class 8 Ganita Prakash Complete Master Hub
Complete Coverage: All Chapters, All Activities & Puzzles (Part I & II New Curriculum)
Part I - Chapter 1: A Square and A Cube
Activity 1.1: Queen Ratnamanjuri Locker Puzzle & Square Area Grids
Explore square numbers and factors through locker door flips.
Side length (units):
Square Area = 16 sq units
Activity 1.2: Cubical Stacking & Volume Analysis
Examine cube volumes using unit stacking blocks.
Part I - Chapter 2: Power Play
Activity 2.1: Paper Folding & Exponential Growth
Visualize thickness doubling through consecutive paper folds.
Activity 2.2: Laws of Exponents Simulator
Test multiplication and division exponent laws.
Compute: 2^3 × 2^2
Result = 2^5 = 32
Part I - Chapter 3: A Story of Numbers
Activity 3.1: Base Systems & Place Value Representation
Explore early number systems and base expansions.
Activity 3.2: Number Patterns & Historical Sequences
Investigate triangular and square number links.
Sequence: 1, 3, 6, 10, 15 (Triangular Numbers)
Part I - Chapter 4: Quadrilaterals
Activity 4.1: Quadrilateral Angle Sum & Special Types
Examine properties of parallelograms, rhombuses, kites, and trapeziums.
Opposite sides are parallel and equal.
Activity 4.2: Polygon Exterior Angle Sum Theorem
Verify that exterior angle sum equals 360 degrees.
Total Exterior Angle Sum = 360°
Part I - Chapter 5: Number Play
Activity 5.1: Parities of Combined Plus/Minus Expressions
Test parities of combinations like a ± b ± c ± d.
Numbers: 3, 4, 5, 6
All combinations preserve consistent parity properties
Activity 5.2: Cryptarithms & Letter Puzzles
Solve digit substitution puzzles.
Solution: A = 4, B = 8
Part I - Chapter 6: We Distribute, Yet Things Multiply
Activity 6.1: Distributive Property & Product Increments
Examine how products change when factors are increased.
Activity 6.2: Algebraic Identity Area Models
Verify (a + b)^2 using distributed area sections.
Verified: a^2 + 2ab + b^2
Part I - Chapter 7: Proportional Reasoning
Activity 7.1: Ratios, Change Ratios, & Sharing
Solve real-life proportion and unequal sharing problems.
If 4 items cost 120, what do 7 items cost?
Cost for 7 items = 210
Activity 7.2: Speed, Distance, and Time Proportions
Direct proportion applications in motion.
Distance at 60 km/h in 3 hours = 180 km
Part II - Chapter 1: Fractions in Disguise
Activity 1.1: Simplifying & Comparing Complex Fractions
Explore equivalent fractional forms and disguised proportions.
Activity 1.2: Rational Number Operations & Density
Find rational numbers between any two fractions.
Midpoint Rational = 5/12
Part II - Chapter 2: The Baudhayana-Pythagoras Theorem
Activity 2.1: Right-Angled Triangle Side Relations
Find unknown lengths using a^2 + b^2 = c^2.
Activity 2.2: Pythagorean Triplets Generator
Generate triplets using formula 2m, m^2-1, m^2+1.
Part II - Chapter 3: Proportional Reasoning - 2
Activity 3.1: Advanced Practical Proportions
Solve multi-step daily life comparative models.
If 15 workers complete a task in 4 days, how many days for 6 workers?
Time required = 10 days
Activity 3.2: Compound Proportion Word Problems
Handle multiple proportional variables simultaneously.
Solution verified correctly
Part II - Chapter 4: Exploring Some Geometric Themes
Activity 4.1: Visual Designs, Shapes, and Tessellations
Explore geometry in visual patterns and designs.
Tessellation symmetry verified
Activity 4.2: Symmetry & Transformation Rotations
Check rotational symmetry angles and orders.
Rotational Order = 6 (Angle = 60°)
Part II - Chapter 5: Tales by Dots and Lines
Activity 5.1: Introduction to Graph Plotting
Represent data points and motion lines on Cartesian planes.
Activity 5.2: Linear Graph Slope Analysis
Read distance-time relationships from coordinate graphs.
Uniform motion speed = constant slope
Part II - Chapter 6: Algebra Play
Activity 6.1: Basic Expressions & Equations Play
Build algebraic intuition with balancing expressions.
Expression: 2(x + 3) + 4
Simplified = 2x + 10
Activity 6.2: Factorising Algebraic Expressions
Extract common terms and factorise quadratics.
Quadratic: x^2 + 7x + 12
Factors = (x + 3)(x + 4)
Part II - Chapter 7: Area
Activity 7.1: Practical Area Formulas & Shape Decompositions
Calculate surfaces of complex polygons and circles.
Activity 7.2: Cylinder Surface Area & Volume
Compute circular cylinder measurements.