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Clock Math: Modular Arithmetic

Explore arithmetic that wraps around like a clock and use it to solve remainder and last digit puzzles.

Grade 10Math OlympiadMathNumber SenseLogicAdvanced50 to 80 min3 materials

What you'll learn

  • Compute with remainders (mod n)
  • Find repeating cycles in powers
  • Use mod arithmetic to solve calendar and last digit problems

Objective

Learn how remainders work in modular arithmetic and use cycles to find last digits and days of the week.

STEM concepts

Modular arithmeticCyclesNumber theoryPatterns
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Materials and safety
Step-by-step instructions
Prediction, test sheet and results
Why does it work, challenge and project report

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