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.

**If you are interested in having instructor resources please reach out to ****POGILKHrep@kendallhunt.com****.**

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.

For more information, please visit www.pogil.org

**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

**
The POGIL Project
**

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.

For more information, please visit www.pogil.org

**
Andrei
Straumanis
**

Andrei Straumanis has a B.A. in Chemistry from Oberlin College and a Ph.D. in organic chemistry from Stanford University. During a three-year NSF-supported post-doctoral fellowship in SMET education, Dr. Straumanis developed and tested materials for guided inquiry organic chemistry. Since 1997, he has given numerous talks and workshops on active learning in organic chemistry and the use of guided inquiry in large classrooms.

**
Catherine
Bénéteau
**

Catherine Bénéteau is an associate professor in mathematics and statistics at the University of South Florida. She was educated in Canada at McGill University where she earned her bachelor's and master's degrees in mathematics. She obtained her Ph.D. in 1999 at the University at Albany, under the supervision of Boris Korenblum. Her main research interests are in complex function theory and mathematics education.

**
Zdenka
Guadarrama
**

Zdenka Guadarrama is an associate professor and chair of the department of mathematics at Rockhurst University. She is passionate about mathematics education and outreach, with her work currently focusing on mathematics curriculum development through inquiry, and the intersections of mathematics with other fields, particularly the arts.

**
Jill
E. Guerra
**

Jill E. Guerra is a preceptor of mathematics at Harvard University. She earned her B.S. from the University of Buffalo and her Ph.D. from the University of Arkansas.

**
Laurie
Lenz
**

Laurie Lenz is currently a professor of mathematics at Marymount University. She has done research in the field of combinatorial group theory, a blend of group theory and topology. She is currently studying college algebra and calculus reform, the use of technology in the classroom, and research and assessment of teaching methodologies. She earned her B.S., M.A., and Ph.D. from the State University of New York Albany.