Class 7 Ganita Prakash Complete Master Hub
Complete Syllabus Coverage: Every Single Activity Across All 12 Chapters with Exact Figures
Chapter 1: Integers
Activity 1.1: Number Line Hopper & Directional Vectors
Visualize positive and negative integer hops along a scaled axis.
Activity 1.2: Integer Sign Multiplication Rules (Negative multiplied by Negative is Positive)
Demonstrate sign reversal laws using counter chips.
×
Result Sign: Positive (+)
Activity 1.3: Integer Division Rules & Properties
Explore quotient signs when dividing signed numbers.
Chapter 2: Fractions and Decimals
Activity 2.1: Fraction Multiplication Grid Area
Shade intersecting rows and columns to find fractional products.
Activity 2.2: Decimal Multiplication Grid Visualizer
Show decimal scaling using 10x10 hundredths grid models.
Decimal Factor:
40 unit blocks shaded
Chapter 3: Data Handling
Activity 3.1: Arithmetic Mean & Bar Chart Distribution
Interactive frequency bars and balancing center point (mean).
Mean = 0.0
Activity 3.2: Median and Mode Finder
Find the middle value and most frequent score in a dataset.
Dataset: 3, 5, 5, 7, 9, 12, 15
Median = 7, Mode = 5
Chapter 4: Simple Equations
Activity 4.1: Balanced Beam Scale Equation Solver
Maintain pan equilibrium while removing weights to isolate variable x.
Equation: 2x + 3 = 11
Solution: x = 4
Activity 4.2: Word Problem to Equation Translator
Convert daily life statements into mathematical equations.
Equation: 4x + 5 = 25 → x = 5
Chapter 5: Lines and Angles
Activity 5.1: Complementary & Supplementary Angle Pairs
Adjust movable ray to examine angle partitioning sums (90° and 180°).
Angle: 65°
Complementary = 25° | Supplementary = 115°
Activity 5.2: Vertically Opposite & Linear Pairs
Identify angle relationships formed by intersecting lines.
Vertically opposite angles are always equal!
Chapter 6: The Triangle and Its Properties
Activity 6.1: Triangle Angle Sum Property (180°)
Verify interior angle sum invariant across triangle vertices.
Activity 6.2: Triangle Inequality Theorem (Side Lengths)
Verify that the sum of any two sides must exceed the third side.
Chapter 7: Comparing Quantities
Activity 7.1: Profit & Loss Percentage Margin Bar
Compare Cost Price vs Selling Price proportional bar representation.
Activity 7.2: Simple Interest Calculator
Calculate interest earned on principal over time.
Chapter 8: Rational Numbers
Activity 8.1: Rational Number Line Pinpoint
Accurate coordinate mapping for fractional numbers.
Rational Fraction:
Value = -1.25 plotted accurately
Activity 8.2: Rational Numbers on Standard Form
Reduce rational numbers to lowest terms.
Chapter 9: Perimeter and Area
Activity 9.1: Parallelogram Area Transformation
Geometric area projection of parallelograms and triangles.
Activity 9.2: Circle Circumference & Area Formula
Compute circle boundary and disk area from radius.
Chapter 10: Algebraic Expressions
Activity 10.1: Like Terms Combiner Blocks
Group variable tiles together visually.
Expression:
Simplified: 2x + 7
Activity 10.2: Algebraic Expression Evaluator
Find expression value for given variable assignments.
Chapter 11: Exponents and Powers
Activity 11.1: Exponential Growth Grid
Rapid geometric scaling 2^n visual blocks.
Power (n): 2^(3)
Value = 8 units
Activity 11.2: Laws of Exponents Verifier
Check product and quotient exponent laws (a^m × a^n = a^{m+n}).
Compute: 2^3 × 2^2
Result = 2^5 = 32
Chapter 12: Symmetry and Visualising Solid Shapes
Activity 12.1: Rotational Symmetry Angle Generator
Examine rotational order and minimum turning angle.
Angle of Rotation = 90° (Order 4)
Activity 12.2: 3D Solid Nets & Euler's Formula (F + V - E = 2)
Verify polyhedron face, vertex, and edge relationships.
Euler's Formula Check: 6 + 8 - 12 = 2 (Verified)