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Precalculus for Team-Based Inquiry Learning:
PREVIEW Edition — Instructor Version
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Front Matter
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1
Equations, Inequalities, and Applications (EQ)
1.1
Linear Equations and Inequalities (EQ1)
1.1.1
Activities
1.1.2
Exercises
1.2
Applications of Linear Equations (EQ2)
1.2.1
Activities
1.2.2
Exercises
1.3
Distance and Midpoint (EQ3)
1.3.1
Activities
1.3.2
Exercises
1.4
Absolute Value Equations and Inequalities (EQ4)
1.4.1
Activities
1.4.2
Exercises
1.5
Quadratic Equations (EQ5)
1.5.1
Activities
1.5.2
Exercises
1.6
Rational Equations (EQ6)
1.6.1
Activities
1.6.2
Exercises
1.7
Quadratic and Rational Inequalities (EQ7)
1.7.1
Activities
1.7.2
Exercises
2
Functions (FN)
2.1
Introduction to Functions (FN1)
2.1.1
Activities
2.1.2
Exercises
2.2
Function Notation (FN2)
2.2.1
Activities
2.2.2
Exercises
2.3
Characteristics of a Function’s Graph (FN3)
2.3.1
Activities
2.3.2
Exercises
2.4
Transformation of Functions (FN4)
2.4.1
Activities
2.4.2
Exercises
2.5
Combining and Composing Functions (FN5)
2.5.1
Activities
2.5.2
Exercises
2.5.3
Videos
2.6
Finding the Inverse Function (FN6)
2.6.1
Activities
2.6.2
Exercises
3
Linear Functions (LF)
3.1
Slope and Average Rate of Change (LF1)
3.1.1
Activities
3.1.2
Exercises
3.2
Equations of Lines (LF2)
3.2.1
Activities
3.2.2
Exercises
3.3
Graphs of Linear Equations (LF3)
3.3.1
Activities
3.3.2
Exercises
3.4
Parallel and Perpendicular Lines (LF4)
3.4.1
Activities
3.4.2
Exercises
3.5
Linear Models and Meanings (LF5)
3.5.1
Activities
3.5.2
Exercises
3.6
Systems of Linear Equations (LF6)
3.6.1
Activities
3.6.2
Exercises
3.7
Applications of Systems of Linear Equations (LF7)
3.7.1
Activities
3.7.2
Exercises
4
Polynomial and Rational Functions (PR)
4.1
Graphing Quadratic Functions (PR1)
4.1.1
Activities
4.1.2
Exercises
4.2
Quadratic Models and Meanings (PR2)
4.2.1
Activities
4.2.2
Exercises
4.3
Graphs of Polynomial Functions (PR3)
4.3.1
Activities
4.3.2
Exercises
4.4
Polynomial Long Division (PR4)
4.4.1
Activities
4.4.2
Exercises
4.5
Zeros of Polynomial Functions (PR5)
4.5.1
Activities
4.5.2
Exercises
4.6
Properties and Graphs of Rational Functions (PR6)
4.6.1
Activities
4.6.2
Exercises
5
Exponential and Logarithmic Functions (EL)
5.1
Introduction to Exponentials (EL1)
5.1.1
Activities
5.1.2
Exercises
5.2
Graphs of Exponential Functions (EL2)
5.2.1
Activities
5.2.2
Exercises
5.3
Introduction to Logarithms (EL3)
5.3.1
Activities
5.3.2
Exercises
5.4
Graphs of Logarithmic Functions (EL4)
5.4.1
Activities
5.4.2
Exercises
5.5
Properties of Logarithms (EL5)
5.5.1
Activities
5.5.2
Exercises
5.6
Solving Exponential and Logarithmic Equations (EL6)
5.6.1
Activities
5.6.2
Exercises
5.7
Applications of Exponential and Logarithmic Functions (EL7)
5.7.1
Activities
5.7.2
Exercises
6
Trigonometric Functions (TR)
6.1
Degree and Radian Measure (TR1)
6.1.1
Activities
6.1.2
Exercises
6.2
Angle Position and Arc Length (TR2)
6.2.1
Activities
6.2.2
Exercises
6.3
Right Triangles (TR3)
6.3.1
Activities
6.3.2
Exercises
6.4
Special Right Triangles (TR4)
6.4.1
Activities
6.4.2
Exercises
6.5
The Unit Circle (TR5)
6.5.1
Activities
6.5.2
Exercises
7
Periodic Functions (PF)
7.1
Properties of Sine and Cosine Graphs (PF1)
7.1.1
Activities
7.1.2
Exercises
7.2
Graphing Sine and Cosine (PF2)
7.2.1
Activities
7.2.2
Exercises
7.3
Additional Trigonometric Functions (PF3)
7.3.1
Activities
7.3.2
Exercises
7.4
Inverse Trig Functions (PF4)
7.4.1
Activities
7.4.2
Exercises
8
Trigonometric Equations (TE)
8.1
Trigonometric Identities (TE1)
8.1.1
Activities
8.1.2
Exercises
8.2
Verifying Identities (TE2)
8.2.1
Activities
8.2.2
Exercises
8.3
Trigonometric Equations (TE3)
8.3.1
Activities
8.3.2
Exercises
8.4
Trigonometric Laws (TE4)
8.4.1
Activities
8.4.2
Exercises
8.5
Applications of Trigonometry (TE5)
8.5.1
Activities
8.5.2
Exercises
Backmatter
A
Trigonometric Identities
Colophon
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Precalculus for Team-Based Inquiry Learning:
PREVIEW Edition — Instructor Version
TBIL Community
sclontz+tbil@southalabama.edu
Editors
Steven Clontz
Department of Mathematics and Statistics
University of South Alabama
sclontz@southalabama.edu
Drew Lewis
drew.lewis@gmail.com
Contributing Authors
Tonya DeGeorge
Gwinnett County Public Schools
tonyadegeorge@gmail.com
Abby Noble
Department of Mathematics and Statistics
Middle Georgia State University
abby.noble@mga.edu
Kathy Pinzon
Department of Mathematics
Georgia Gwinnett College
kpinzon@ggc.edu
December 17, 2024
Colophon
TBIL Resource Library
For Instructors