Multiple Representations Students can create numeric representations using tables, visual representations using function machines, geometric representations using graphs, and symbolic representations using equations. Students also learn to analyze which representation works best to solve a particular problem. Students use graphing calculators regularly and are often asked to explore mathematical ideas on the calculator or computer before these ideas are discussed in class. Each section of a chapter is comprised of several Investigations where students gather data and complete tasks on the page, actually writing parts of the text as they work. Students develop organizational skills and ownership of the material as they contribute to writing the investigations throughout the semester.
Discussions follow each investigation to summarize essential ideas.
Explorations exercises conclude each section to reinforce student knowledge of key concepts and skills. A Student Discourse feature provides a running dialogue between two students who discuss key points of confusion and draw connections among ideas. A Reflection exercise at the end of each section asks students to write a short narrative discussing important concepts and relating concepts from various sections. The last section of each chapter is a Chapter Review that contains a wide variety of review problems for students to investigate and asks students to reflect on the key ideas of the chapter. A Concept Map at the end of each chapter enables students to brainstorm about key ideas and draw connections among various aspects of the concepts they've learned.