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Class 8

Mathematics: Ganita Prakash Part 1

60 lessons in 7 chapters, explained in plain words.

A Square and A Cube

  1. The hundred lockers
  2. Square numbers
  3. What the last digit tells you
  4. Squares and odd numbers
  5. Square roots
  6. Estimating a square root
  7. Cubic numbers
  8. Cube roots
  9. A pinch of history

Power Play

  1. Folding paper to the Moon
  2. Exponential notation
  3. Multiplying powers
  4. A power of a power
  5. How many combinations
  6. The other side of powers
  7. Powers of 10 and scientific notation
  8. Linear growth and exponential growth
  9. Getting a sense for large numbers

A Story of Numbers

  1. Where our numbers came from
  2. The mechanism of counting
  3. Body parts, tally marks and counting in twos
  4. The Roman numerals
  5. The idea of a base
  6. Why a base makes arithmetic easy
  7. Place value
  8. The Mayan and Chinese systems
  9. The Hindu number system

Quadrilaterals

  1. What a quadrilateral is
  2. The carpenter's problem
  3. Any angle will do
  4. A shorter definition of a rectangle
  5. Squares
  6. The angles of any quadrilateral
  7. Parallelograms
  8. The rhombus
  9. Kites and trapeziums

Number Play

  1. Plus and minus, and parity
  2. Expressions that are always even
  3. Pairs to make fours
  4. Always, sometimes, or never
  5. What remains
  6. Why the digit-sum test works
  7. Divisibility by 11, and other shortcuts
  8. Digital roots
  9. Digits in disguise

We Distribute, Yet Things Multiply

  1. Distributivity
  2. Identity 1
  3. Expanding bigger expressions
  4. Fast multiplication
  5. Squaring a sum and a difference
  6. The difference of two squares
  7. Mind the mistake, mend the mistake
  8. All ways lead to the bay

Proportional Reasoning-1

  1. Why some pictures look stretched
  2. Ratios and their simplest form
  3. Solving problems with ratios
  4. Trairasika, the Rule of Three
  5. When the Rule of Three does not apply
  6. Sharing in a given ratio
  7. Unit conversions