AFM Goals

Advanced Functions and Modeling provides students an in-depth study of modeling and applying functions. Home, work, recreation, consumer issues, public policy, and scientific investigations are just a few of the areas from which applications should originate. Appropriate technology, from manipulatives to calculators and application software, should be used regularly for instruction and assessment.

1. Describe graphically, algebraically and verbally phenomena as functions; identify independent and dependent quantities, domain, and range, and input/output.
2. Translate among graphic, algebraic, numeric, and verbal representations of relations.
3. Define and use linear, quadratic, cubic, and exponential to model and solve problems.
4. Use systems of two or more equations or inequalities to solve problems.
5. Use the trigonometric ratios to model and solve problems.
6. Use logic and deductive reasoning to draw conclusions and solve problems.

Lesson Plans

These AFM lessons originate from a variety of sources. The lessons developed by NCSSM faculty members include a student handout and teacher notes, complete with solutions. Others are lessons from external sources such as the Shodor Foundation website or Hands On Activities from Georgetown University. Materials from websites other than NCSSM will not necessarily have the same format but may be very useful in teaching the AFM course.