IV. Class 4

A. Order Relationships, Square Roots, and Mathematical Induction

Participants should discuss topics that involve:

• Ordering numbers with or without a number line
• Recognizing and using the Trichotomy Law
• Estimating roots
• Using examples to develop generalizations
• Proving propositions by mathematical induction

Participants explore some of the following Investigations focused on order relationships, square roots, and mathematical induction:

• Order relationships

• Ordering Fractions

• Musical Chairs

• Square roots and other roots

• Square Root Patterns

• Irrational to Rational

• Mathematical inductions and inductive reasoning

• What Happens When…?

• Units of Seven

B. Participants add write-ups to their online portfolios

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Additional Resources for Week 4

• Dictionary Entries related to order relationships, roots, and induction.  
  • Number Line
  • Trichotomy Law
  • Square Root
  • Cube Root
  • Ordinal Numbers

Return to the Number Concept Syllabus