IX. Class 9

A. Alternative Algorithms, Other Bases, and Modular Arithmetic

Participants should discuss topics that involve:

• Exploring alternative algorithms
• Performing the four operations in different number bases (2, 5, 12)
• Exploring Diophantine Equations and residue systems in modular arithmetic

Participants explore some of the following investigations focused on alternative algorithms, other bases, and modular arithmetic:

• Alternative Algorithms

• Lattice Multiplication (External Link)

• Russian Peasant Multiplication (External Link)

• Casting Out Nines (External Links)

• Exploration of Other Bases

• Take a Different Base

• Filling Bases

• Modular Arithmetic

• The Last Digit

• Choose an Elevator

• Blocked Off

B. Discuss and brainstorm ideas about modifying InterMath experience for a middle school mathematics classroom

C. Participants add write-ups to their online portfolios

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Additional Resources for Week 9

• Dictionary Entries related to order relationships, roots, and induction.  

• Number Base

• External Links

• Listed above

 

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