ALGEBRA PROGRAM

Elementary school

• Representation and analysis of patterns and functions
• Understanding and application of the Distributive, Commutative and Associative properties 
• Analysis and representation of variables
• Understanding and application of the relation between various variables
• Solving problems using equations, tables and graphs 
• Detailed study of numeric and geometric patterns
• Establishment of mathematical relations using equations

Middle school

• Representation and analysis of various patterns
• Symbolic expressions and symbolic algebra
• Plotting and analysis of linear graphs
• Solving problems using equations, tables and graphs
• Study of quantity changes in linear relationships
• Study of slopes and intercepts
• Application of variables
• Solving linear and quadratic equations
• Analysis and application of linear and non – linear functions

High school

• Identification and application of quantitative relationships
• Interpretation of the change rate from numerical and graphical data
• Recursive form of symbolic expressions and symbolic algebra
• Variety of functions and their properties
• Study and representation of functions of two variables
• Function transformation – composing, combining, converting (arithmetically)
• Equivalent forms of relations, expressions, equations and inequalities
• Detailed study of explicitly defined and recursively defined functions
• Functions and relations
• Study of one variable functions