# Algebra for Calculus: A Guided Inquiry

Author(s): The POGIL Project

Edition: 1

Pages: 242

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Details: Electronic Delivery EBOOK | 180 days |

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These guided activities were written because much research has shown that more learning takes place when the student is actively engaged and when ideas and concepts are developed by the student, rather than being presented by an authority - a textbook or an instructor. The activities presented are structured so that information is presented to the reader in some form (and equation, table, graph, figure, written prose, etc.) followed by a series of Construct-Your-Understanding Questions that lead the student to the development of a particular concept or idea. Learning follows the scientific process as much as possible throughout. Students are often asked to construct a concept based on the model that has been developed up to that point, and then further data or information is provided to help refine the concept. In this way, students simultaneously learn course content and key process skills that constitute mathematical and scientific thought and exploration.

Introduction to Functions
F1 Introduction to Function sand Function Notation
F2 Graphing of Functions
F3 Combinations of Functions
F4a Vertical and Horizontal Shifts
F4B Stretching and Reflecting
F5 Compositions of Functions
F6 Inverse Functions

Polynomial Functions
P1 Linear Functions
P2A Exploring Linear Functions
P2B Finding Equations of Lines
P2C Parallel and Perpendicular Lines
P4A Standard and Vertex Form of a Quadratic Function
P4B Completing the Square
P5 Monomial Functions
P6 Polynomial Functions
P7 Graphing Polynomial Functions

Rational Functions
R1 Rational Functions 1
R2 Rational Functions 2

Exponential Functions
E1 Introduction to Exponential Functions
E2 Exponential Functions 2
E3 Graphing Exponential Functions

Logarithmic Functions
L1 Logarithmic Functions 1
L2 Logarithmic Functions 2

Systems of Equations
S1 Linear Systems
S2 Nonlinear Systems of Equations

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.