LearnWave
Learn it. Master it.
All books

Class 9

Mathematics: Ganita Manjari Part 2

41 lessons in 6 chapters, explained in plain words.

Propositions and their Converses

  1. Propositions and converses
  2. Counterexamples
  3. When both directions hold
  4. Checking converses

How Quantities Combine: Understanding Data

  1. The average of averages
  2. Mixtures and the weighted mean
  3. Weights for importance
  4. Weighted mean problems
  5. Stacked bar charts
  6. 100% stacked bars
  7. Reading real data
  8. Data problems

The World of Algorithms

  1. What is an algorithm?
  2. Divisors as a list
  3. A first gcd algorithm
  4. Making the algorithm faster
  5. Euclid's subtraction algorithm
  6. Āryabhaṭa's division method

Quadrilaterals

  1. What exactly is a quadrilateral?
  2. Tests for a parallelogram
  3. Special parallelograms
  4. The Midpoint Theorem
  5. The converse and equal spacing
  6. The centroid
  7. Midpoints of a quadrilateral
  8. Tiling with any 4-gon

Two Variables, One Line

  1. Equations with two unknowns
  2. Solutions and the line
  3. Slope as rise over run
  4. y = mx + d
  5. A pair of equations
  6. Substitution and elimination
  7. One, none or infinitely many
  8. Solving by graph

Math of Space: Surface Area and Volume

  1. Cuboids and cubes
  2. Cylinders
  3. Cone surfaces
  4. Cone and pyramid volumes
  5. Spheres and hemispheres
  6. When sizes change
  7. Guesstimates