Below is a link to the presentation materials given at the Rutgers Annual Pre-Calc Conferences
Rutgers Pre-Calc Conference 2012
Abstract:
Ensuring a Smooth Transition from Algebra II into Pre-Calculus In Algebra II. solving different types of equations involving radicals (e.g., cube root), absolute value, cubics, etc. is often taught separately from graphing functions. Participants in this workshop will get suggestions on how to modify the curriculum so that solving equations is properly linked with graphing suctions. By applying this curriculum change/approach, instructors are able to transition into function translation and analysis of domain and range which are the prerequisites for pre-calc.
The derivation & explanation for the quadratic vertex formula can be found here.
The full unit follows this chronological order, the power points serve as the graphical organizers for students. Right-Click on the links below and save the power points.
8. Quadratics
Rutgers Pre-Calc Conference 2011
Abstract:
Understanding systems of linear equations is very important because it is one of the first units of algebra that combines equations, graphs, and discussion. Through sequencing, picking meaningful problems, and applying exploratory activities; students can gain a deeper understanding and mastery of linear systems. This session will share an “alternative-to-textbook” approach that has been successfully used to teach this unit.
Rutgers Pre-Calc Conference 2010
Abstract:
Understanding linear functions and how their graphs originate is fundamental for understanding how more complex functions behave. Analysis of linear functions(graphing, slopes, intercepts) can be taught without the emphasis on formulas and through understanding linear behaviors such constant rate of change and the fact that any two points can be used to analyze the line. The session will share and engage the participants in a learning sequence that has been successfully used to teach this unit.