Students learn when they are activity engaged and thinking in class. The activities in this book are the primary classroom materials for teaching Calculus 1, using the POGIL method. Each activity leads students to discovery of the key concepts by having them analyze data and make inferences.  The result is an "I can do this" attitude, increased retention, and a feeling of ownership over the material.Kendall Hunt is excited to partner with The POGIL Project to publish materials in a variety of disciplines that are designed for use in active learning, student-centered classrooms. POGIL is an acronym for Process Oriented Guided Inquiry Learning. Because POGIL is a student-centered instructional approach, in a typical POGIL classroom or laboratory, students work in small teams with the instructor acting as a facilitator. The student teams use specially designed activities that generally follow a learning cycle paradigm. These activities are designed to have three key characteristics: They are designed for use with self-managed teams that employ the instructor as a facilitator of learning rather than a source of information. They guide students through an exploration to construct understanding. They use discipline content to facilitate the development of important process skills, including higher-level thinking and the ability to learn and to apply knowledge in new contexts. 

Table of Contents:
Functions F1: Review of Functions F2: Characteristics of Functions F3: Compositions of Functions Limits  L1: Limit of a Function L2: Limit Laws L3: Precise Definition of a Limit L4: Continuity Derivatives D1: Velocity, Introduction to Derivatives D2: Derivative at a Point D3: Derivative as a Function D4: Differentiability D5: Second Derivative Differentiation Techniques DT1: Power, Constant Multiple, Sum and Difference Rules DT2: Product and Quotient Rules DT3: Derivatives of Exponential Functions DT4: Derivatives of Trigonometric Functions DT5: the Chain Rule DT6: Derivatives of Inverse Functions DT7: Implicit Differentiation Differentiation Applications DA1: Related Rates DA2: Linear Approximation DA3: Mean Value Theorem DA4: Maximum and Minimum Values DA6: Optimization Integration I1: Area and Distance I2: Riemann Sums I3: Definite Integrals I4: Fundamental Theorem of Calculus I5: Antiderivatives and the Fundamental Theorem of Calculus I6: Indefinite Integrals