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Patterns, Functions and Algebraic Reasoning Course

Content Topics:

  • growth patterns
  • variables and constants
  • linear, quadratic, cubic and exponential equations
  • generating functions from models, tables and graphs
  • creating and analyzing tables, graphs, models and algebraic functions
  • solving equations
  • computing with integers
  • coordinate graphing
  • number theory (n-gonal numbers, place values, primes, composites, multiplication patterns, powers of 2, properties of numbers
  • generating and analyzing Pascal’s Triangle
  • collecting, organizing and analyzing data
  • inductive and deductive reasoning
  • mathematically-convincing arguments (leading to mathematical proofs)
  • algebraic analysis of one-, two-, and three-dimensional figures
  • one-, two-, and three-dimensional growth patterns and relationships.