Operations Basics

Numbers & Operations

rough outline (~8 sections)

• Types of Numbers
  • what are "operations" and why do we need to consider types of numbers first
    • operations = "doing" something with a number*
    • what type of number changes how we do the operations (for instance, multiplying integers vs. multiplying fractions vs. multiplying decimals)
    • operations on variables = algebra (see "Algebra Basics") section!
  • focus on integers, rational numbers, real numbers
• Addition
  • addition intuition
    • when + answer, when – answer, how big to expect answer, etc.
  • multi-digit number addition algorithm
• Subtraction
  • subtraction intuition
    • when + answer, when – answer, how big to expect answer, etc.
  • multi-digit
• Multiplication
  • multiplication intuition
  • standard algorithm
• Division
  • division intuition
    • result >1 or <1?
    • result positive or negative?
    • estimating result size
  • remainders
  • long division algorithm
• Exponents
  • repeated multiplication….
  • logarithms – sneak preview; see Algebra 1 ch. … section. ...
• Radicals
  • square roots
  • other roots
  • relation to powers/exponents (contrast w/ logarithms
• What parentheses mean & why they’re important
  • segue into order of ops section...