Precalculus

The activities are organized by topic in the table below. The table is a collection of interactive files that were written by members of our department. In the first column, topics are listed. In the second column, the name and a brief description of the activity is given. In the third column, we have made reference to the sections in our textbooks where we have used the activity. Below the table, we list bibliographical information for the books and computer activities referenced.

The four topics included below are Trigonometry, Polar Coordinates and Graphs, and Vectors. For topics such as polynomial functions, properties of functions, logarithmic and exponential functions, see Advanced Algebra page.

Topics Name and Description of Activity Textbook Reference
Trigonometry Triangle Trig Intro
Sketchpad Demonstration
LBKS Sect. 13.1
LH Sect. 6.1
B Sect. 7.2
D Sect. 5.6
 

Unit Circle Area
Sketchpad Demonstration

LBKS Sect. 13.2
LH Sect. 6.1
B Sect. 7.2
D Sect. 5.1

 

Trigonometric Graphs
Interactive Sketchpad file

LBKS Sect. 14.1, 14.2
LH Sect. 6.4
B Sect. 8.2, 8.3
D Sect. 5.3

  Trigonometric Graphing Intro
Interactive Sketchpad file

LBKS Sect. 14.1, 14.2
LH Sect. 6.4
B Sect. 8.2, 8.3
D Sect. 5.3

  Ambiguous Case
Interactive Sketchpad file
LBKS Sect. 13.5
LH Sect. 8.1
B Sect. 9.3
D Sect. 7.1
Polar coordinates and graphs

Polar Coordinates
Interactive Sketchpad file

B Sect. 11.1

D Sect 7.6

 

Polar Graphs
Interactive Sketchpad file with instructions (Word doc) (as pdf)

B Sect. 11.1

D Sect 7.6

Vectors

Introduction to Vectors and their components
Interactive Sketchpad file

B Sect. 12.1, 12.2

D Sect. 7.3

 

Vector addition
Interactive Sketchpad file

B Sect. 12.1, 12.2

D Sect. 7.3

  Scalar multiplication
Interactive Sketchpad file

B Sect. 12.1, 12.2

D Sect. 7.3

  Equation of a line
Interactive Sketchpad file

B Sect. 12.3

D Sect. 12.4

 

Bibliography:

LBKS - Algebra 2, by Ron Larson, Laurie Boswell, Timothy D. Kanold and Lee Stiff, McDougal Littell 2001.

LH - Algebra and Trigonometry, by Ron Larson and Robert P. Hostetler, Houghton Mifflin 2001.

B - Advanced Mathematics, by Richard G. Brown, McDougal Littell, 1994.

D - Precalculus with Limits, by Mark Dugopolski, Addison Wesley, 2002.