The standards in the Fairfax Framework for Student Success represent broad exit goals for mathematics in Fairfax County Public Schools. The following standards taken from the Framework are partially addressed in this course.
• Solve problems involving arithmetic and algebra.
Students will compute with real numbers and algebraic expressions, using methods such as mental arithmetic, estimation, and paper and pencil procedures, and tools such as calculators, computers, and other technologies. Students will model problems and solve equations and inequalities graphically and algebraically.
• Model real-world phenomena.
Students will build and use mathematical models to analyze and explain mathematical concepts and real-world phenomena. They should also be able to model a variety of problem situations with the same type of function.
• Apply a variety of strategies to solve problems both within and outside mathematics.
Students will recognize and formulate problems from situations within and outside mathematics and then select and apply appropriate strategies to find an acceptable solution. They will investigate different solutions to the same problem and apply the same solution strategy to similar problems to understand the underlying structure of a problem.
• Communicate mathematically.
Students will read, understand and communicate mathematical ideas, generalizations, and relationships clearly and concisely, using standard mathematical notation.
• Reason mathematically.
Students will apply inductive and deductive reasoning skills to make, test, compare, and evaluate mathematical hypotheses. They will follow, evaluate, and construct valid mathematical assertions, and generate counter-examples to refute invalid ones.
• Make conceptual connections within and outside mathematics.
Students will use different representations – graphical, numerical, algebraic, verbal, and physical – to investigate and understand the same mathematical concept or procedure. They will also use different representations to make connections between different areas of mathematics and between mathematics and other disciplines.
