II. Class 2

A. Variable and Expressions

Participants should choose investigations that involve:

• Identifying subsets of numbers and their relationship to each other;
• Understanding special properties of zero; and/or
• Recognizing and use properties of number
• Using order of operations
• Completing operations on and with integers

1. Participants explore some of the following Investigations focused on variable and expression
   • Subsets of Numbers
     • Rational or Irrational?
     • Rationalize Pi
     • Creating Integers
     • Fractional Forms of Repeating Decimals
   • Special Properties of Zero
     • End Behaviors with Constant Ratio
     • Dividing by Zero
     • What is 0.999…?
     • Don’t Just Say “It is undefined”
     • How does zero fit in?
   • Properties of Numbers
     • Formulaic Properties (Cummutative, Associative)
     • Using Roots to Generate an Equation (Distributive)
       
     • Foil Frenzy (Distributive)
   • Order of Operations
     • Add Add Subtract
     • Can You Get 100?
     • Fortune Telling
     • Seven Envy
   • Integers
     • Integer Function
     • Integer Function-II
     • Creating Integers

B. Participants add write-ups to their online portfolios

 
C. Allow participants time to work on variable and expression investigation, spreadsheet skills, and/or other topic covered in class

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Additional Resources for Week 2

• Dictionary Entries related to Properties and Subsets of Numbers
  • Additive Inverse
  • Associative Properties
  • Associative Property of Addition
  • Associative Property of Multiplication
  • Commutative Properties
  • Distributive Property
  • Identity Properties
  • Identity for Addition
  • Identity for Multiplication
  • Integer
  • Inverse Properties
  • Multiplicative Inverse
  • Order of Operations
• External Resources
  • Glossary of Properties

Return to the Algebra Syllabus.