සංගතිකSangathika

SAM · Discrete trunk · leaf

Modular arithmetic

Arithmetic on the dial wraps round, and the questions of inverses, primes and powers all become questions about where the dial lands.

Before this leaf: grid coordinates, arithmetic and Pythagoras.
This leaf feeds: Linear algebra, Counting.
Objects you will meet again: the dial, the 3-4-5 triangle.

planned 0 of 16 lessons built

The Modular arithmetic leaf, with the cast objects it uses drawn on its veins සංගතික · Sangathika · SAM. © 2026 Niranga Dharmaratna. CC BY-SA 4.0.
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Lessons, notes and demos

One row per lesson, in the order the leaf builds up. Each lesson holds its notes, its demos and its challenges on one page. A demo link opens the lesson at that demo.

This leaf is planned. Its lessons are being designed now, and each one appears here when it is built. The strip above shows its planned length.

The missing half of the Hill cipher branch; the floor for RSA and Diffie-Hellman; self-contained, so it is the second leaf to build.

Glossary

Every new word from this leaf appears here, with one sentence and the lesson that introduces it.

For the teacher

Sequencing and rationale

The sequencing for this leaf is published with its first lessons.