# Discovering Advanced AlgebraAn Investigative Approach

## Technology Integration

The most current technologies prepare students for today's world. Graphing calculators (necessary for success with this curriculum) are tightly integrated into the textbook.

Some investigations request that data be gathered with a CBR?  (Calculator-Based Ranger, which gathers time/distance data) or CBL?  (Calculator-Based Laboratory, which can gather all kinds of data?temperature, force, volume?with separately purchased "probes"). Sample data are provided for all these investigations, so that classrooms that don't have these technologies, or are short on time, can still complete the analysis portions of the investigations.

Additionally, optional enrichment projects and explorations use The Geometer's Sketchpad® and Fathom® Dynamic Data software.

### Graphing Calculators Enhance Learning

Discovering Advanced Algebra makes extensive use of graphing calculators to capitalize on these strengths:

• Graphing calculators can generate many examples quickly, allowing students to focus on the meaning of and patterns in families of functions rather than those of a single function.
• Students gain experience interpreting the output of technology, an important skill in today's world. Discovering Advanced Algebra helps students focus on the meaning and value of the numbers and expressions they enter into a calculator and of the results they generate. Finding meaning in numbers, variables, expressions, functions, and graphs is a yearlong challenge for everyone.
• With a calculator, students can take on more realistic problems. Students can explore variables that actually vary and functions that are derived from real-world experimentation.
• The graphing calculator allows some students to hurdle error-plagued paper-and-pencil barriers. Even students who enter this course with poor computational and manipulation skills will find that, through their graphing calculator screens, they can visualize mathematical processes and concepts that previously eluded them.
• Many students will want to perform more than one calculation on their graphing calculators. They will ask, "But what if we changed just this one thing?" Routine exercises become open-ended, ongoing mathematical explorations, initiated by students.