Course Description: Algebra I develops the foundation concepts for high school mathematics as students study Algebraic thinking and symbolic reasoning.Students will:
·Use symbols to express mathematical relationships
·Use functions to represent and model problem situations
·Express relationships between functions and equations or inequalities
·Use technology such as the TI-84 graphing calculators to explore rich, complex problem situations
·Study the underlying mathematical processes of problem situations
Students will:
Understand that a function represents a dependence of one quantity on another and can be described using models, tables, graphs, equations or inequalities, and verbal descriptions.
Use the properties of functions to solve problems
Use symbols to represent situations
Manipulate symbols to solve problems
Translate between various representations of linear functions
Understand the meaning of and can describe the effects of changes to the slope and intercepts of linear functions
Form equations and inequalities from linear functions, use a variety of methods to solve them, and analyzes the solutions
Form systems of equations from problem situations and uses elimination and substitution to solve them
·Understand that the graphs of quadratic functions are affected by the parameters of the function and can interpret and describe the effects of the changes ·Understand that there is more than one way to solve a quadratic equation and solve them using appropriate methods ·Understand that there are situations modeled by functions that are neither linear nor quadratic and model the situations using equations, tables, graphs, models, and verbal descriptions