Ganita Prakash, period by period — fitted to your timetable.
Tell Meyy your periods and their length; it plans every chapter of Ganita Prakash to fit, and you tick off sections as you teach.
Why Humans Began to Count
Reema's Curiosity · Discovery
The Yajurveda Samhita naming numbers as powers of ten, and the Bakhshali manuscript as the earliest known written use of ten digits including zero, give students a concrete anchor for why the chapter's history matters. Watch for students who assume tally marks are 'too primitive to be a number system' — the bones show deliberate grouping and are a genuine system. Figure it Out Q3, p.54 ("Invent your own number system") makes a productive self-study extension.
0–10Open with the question: what would life look like if we could not count? Students share ideas about trade, farming, and tracking time. The teacher draws out examples from the chapter's framing — Stone Age needs for counting food, animals, and celestial events — using the chapter's prose as a prompt rather than copying it.
10–22The class examines the idea of body parts as a counting system, drawing on the Papua New Guinea example of 27 body-part locations used as a standard counting sequence. Students map the sequence on a quick sketch, discuss what this reveals about the earliest 'number systems', and note what operations would be difficult or impossible with this method.
22–33The teacher introduces the Lebombo bone and Ishango bone as evidence of tally-mark counting — two of the oldest known number representations. Students discuss: what mathematical need do notches answer? What can they represent, and what can they not?
33–45Pair work on Figure it Out Q1, p.54 ("Without using Hindu number names or numerals, devise methods for +, –, ×, ÷ using the stick-based number system….") and Figure it Out Q2, p.54 ("Extend the letter-sound number system (Method 2) beyond 26 using multi-letter strings…."). Pairs share one method each; class notes what makes a notation practical.
Figure it Out Q1, p.54 — Without using Hindu number names or numerals, devise methods for +, –, ×, ÷ using the stick-based number system (Method 1). (Math Talk)
Which of the following correctly identifies the document that contains the earliest known written use of all ten digits including zero?
- A Al-Khwarizmi's treatise on Hindu numerals
- B Aryabhatiya by Aryabhata
- C The Bakhshali manuscript
- D The Yajurveda Samhita
C. The Bakhshali manuscript
What each wrong option reveals
- A The student recalls Al-Khwarizmi's role in transmitting Hindu numerals to the Arab world but confuses transmission with origin.
- B The student recalls Aryabhata's systematisation of the Indian number system (499 CE) but conflates systematisation with the earliest written use of all ten digits.
- D The student confuses the Yajurveda Samhita — which named numbers as powers of ten but did not use a written zero digit — with the first ten-digit written record.
Also saved as 4 periods.
- 2Counting in Groups: Twos to Roman Landmarks
Number Names Obtained by Counting in Twos - 3Roman and Egyptian Systems in Action
The Roman Numerals - 4Bases, Arithmetic, and Why Egyptian Falls Short
Variations on the Egyptian System and the Notion of Base - 5Place Value, Zero, and the Hindu Culmination
The Mesopotamian Number System - 6Five Ideas, Four Problems
Synthesis
- 1. A Square and A Cube
- 2. Power Play
- 3. A Story of Numbers
- 4. Quadrilaterals
- 5. Number Play
- 6. We Distribute, Yet Things Multiply
- 7. Proportional Reasoning-1
- 8. Fractions in Disguise
- 9. The Baudhāyana-Pythagoras Theorem
- 10. Proportional Reasoning–2
- 11. Exploring Some Geometric Themes
- 12. Tales by Dots and Lines
- 13. Algebra Play
- 14. Area
Any 3 chapters free · no payment details · then introductory offer ₹499 per subject-stage, per year.