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.

The Cog Railway

Odd Numbers

Expressions

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