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Algebraic Properties & Representations
Course 1 (Algebra)

Core Ideas

  • Represent and analyze mathematical situations and structures using algebraic symbols.
  • Compare and contrast the properties of numbers and number systems including real numbers.
  • Understand the meaning of equivalent forms of expressions, equations, inequalities, or relations.
  • Write equivalent forms of equations, inequalities, and systems of equations and solve them.
  • Use symbolic algebra to represent and explain mathematical relationships.
  • Judge the meaning, utility, and reasonableness of results of symbolic manipulations.
  • Use symbolic expressions to represent relationships arising from various contexts.
  • Approximate and interpret rates of change from graphic and numeric data.

MARS Tasks

The Cog Railway

Odd Numbers

Expressions

Buying Chips & Candy

Sorting Functions

 
Course 2 (Geometry)

Core Ideas

  • Represent and analyze mathematical situations and structures using algebraic symbols.
  • Develop fluency in operations with real numbers and simple vectors and matrices.
  • Solve equations involving radicals and exponents in contextualized problems such as use of Pythagorean Theorem.
  • Recognize and use equivalent graphical and algebraic representations of lines with their geometric characteristics, such as slope, intercepts, parallelism, and perpendicularity.
  • Use coordinate geometry to find measures of geometric figures

MARS Tasks

Numbers

 


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