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Class 7

Mathematics: Ganita Prakash Part 2

71 lessons in 7 chapters, explained in plain words.

Geometric Twins

  1. Geometric twins
  2. Three sides are enough
  3. Writing congruence properly
  4. Three angles are not enough
  5. Two sides and the angle between them
  6. When two sides and an angle are not enough
  7. Two angles and the side between them
  8. Two angles and a side not between them
  9. Right triangles, and the five conditions
  10. Isosceles and equilateral angles

Operations with Integers

  1. Rakesh's number puzzle
  2. The carrom coin on a number line
  3. The token model
  4. Multiplying with tokens
  5. A negative multiplier takes tokens out
  6. Patterns in integer multiplication
  7. The sign rules
  8. Order does not matter
  9. Brahmagupta's fortunes and debts
  10. Integers at work

Finding Common Ground

  1. Sameeksha's floor tiles
  2. Lekhana's rice bags
  3. Prime factorisation
  4. Every factor is a subpart
  5. Conjectures and counterexamples
  6. HCF from prime factorisation
  7. Anshu and Guna's torans
  8. LCM from prime factorisation
  9. Patterns and general statements
  10. A quicker procedure

Another Peek Beyond the Point

  1. Decimals, and dividing by tens
  2. Multiplying decimals through fractions
  3. The decimal point rule
  4. Is the product always bigger?
  5. Dividing a decimal by tens
  6. Turning a fraction into a decimal
  7. Long division into the decimals
  8. When the divisor is a decimal
  9. Does this ever end?
  10. Dividend, divisor and quotient

Connecting the Dots...

  1. Statistical questions and statements
  2. One number for a whole group
  3. Using the mean
  4. When the mean misleads
  5. Mean against median
  6. How tall is your class?
  7. Zero is not the same as no value
  8. Putting two graphs together
  9. Reading a crowded graph
  10. Being a data detective

Constructions and Tilings

  1. The eye, and the perpendicular bisector
  2. Constructing with ruler and compass
  3. The Śulba-Sūtras and the rope
  4. Bisecting an angle
  5. Copying an angle
  6. Drawing a parallel line
  7. Arches and designs
  8. The regular hexagon
  9. Tiling a grid
  10. Tiling the whole plane

Finding the Unknown

  1. Unknown weights
  2. Matchsticks, and what an equation is
  3. Framing equations from the scales
  4. Trial and error, and the balance property
  5. Inverse operations
  6. Solving step by step
  7. Unknowns on both sides
  8. Tiles and a party
  9. Savings, a trick and two unknowns
  10. Making equations, and mending mistakes
  11. A pinch of history