# Mathematics Performance Standards F Algebraic Relationships Grade 12

### Mathematics, Standard F: Algebraic RelationshipsPerformance Standards - Grade 12

By the end of grade twelve, students will:

F.12.1 Analyze and generalize patterns of change (e.g., direct and inverse variation) and numerical sequences, and then represent them with algebraic expressions and equations

F.12.2 Use mathematical functions* (e.g., linear*, exponential*, quadratic*, power) in a variety of ways, including

• recognizing that a variety of mathematical and real-world phenomena can be modeled* by the same type of function
• translating different forms of representing them (e.g., tables, graphs, functional notation*, formulas)
• describing the relationships among variable quantities in a problem
• using appropriate technology to interpret properties of their graphical representations (e.g., intercepts, slopes, rates of change, changes in rates of change, maximum*, minimum*)

F.12.3 Solve linear and quadratic equations, linear inequalities, and systems of linear equations and inequalities

• numerically
• graphically, including use of appropriate technology
• symbolically, including use of the quadratic formula

F.12.4 Model and solve a variety of mathematical and real-world problems by using algebraic expressions, equations, and inequalities

*See Glossary.

For questions about this information, contact Diana Kasbaum (608) 266-7712