Geometry
The activities are organized by topic in two tables below. The first table is a collection of interactive files that were written by members of our department. The second table contains references to copyrighted activities used in our classes. Both tables are organized in the same manner. 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 each table, we list bibliographical information for the books and computer activities referenced.
The seven topics included below are Introduction to Geometry, Deductive Reasoning, Parallel Lines and Planes, Polygons, Triangle Congruence, Quadrilaterals, and Area of Plane Figures.
| Topic | Name and Description of Activity | Textbook Reference |
|---|---|---|
| Introduction to Geometry | Vertical angles, sum of angles, bisected angles Interactive Sketchpad file |
J Sect. 1.4, 2.4 R Sect. 1.5, 2.8 |
| Deductive Reasoning | Making Conjectures Interactive Sketchpad file |
J Sect. 1.4 R Sect. 1.7 |
Finding Counter Examples (Word doc) |
J Sect. 2.1 R Sect. 1.7, 1.8 |
|
| Parallel Lines and Planes | Parallel Lines (Word doc) |
J Sect. 3.1 R Sect. 4.5 |
| Polygons | Angles of a Polygon (Word doc) |
J Sect. 3.5 R Sect. 7.3 |
| Triangle Congruence | Congruent Triangles Interactive Sketchpad file |
J Chap. 4 R Chap. 3 |
| Make Congruent Figures Interactive Sketchpad file |
J Chap. 4, 5 R Chap. 3, 5 |
|
Conditions that don't guarantee congruence AAA (Word doc) SSA |
J Chap. 4 R Chap. 3 |
|
4 Special Segments (Word doc) |
J Sect. 4.7 R Sect. 3.4 |
|
| Quadrilaterals | Verifying a quadrilateral is a parallelogram |
J Sect. 5.2 R Sect. 5.6 |
| Which figure is a square? Interactive Sketchpad file |
J Sect. 5.1 R Sect. 5.5 |
|
More on quadrilaterals |
J Sect. 5.3 R Sect. 5.7 |
|
| More on parallelograms Interactive Sketchpad file |
||
| Areas of plane figures | Area of triangle & parallelogram |
J Sect. 11.2, 11.3 R Sect. 11.2 |
Books referenced:
J - Geometry, by Ray C Jurgensen, Richard G. Brown and John W. Jurgensen, McDougal Littell 2000
R - Geometry for Enjoyment and Challenge, by Richard Rhoad, George Milauskas and Robert Whipple, McDougal Littell 1991
| Topic | Name and Description of Activity | Textbook Reference |
|---|---|---|
| Introduction to Geometry | Introducing points, segments, rays and lines Exploring Geometry p. 3 |
J Sect. 1.2, 1.3 R Sect. 1.1 |
Introducing angles Exploring Geometry p. 7 |
J Sect. 1.4 R Sect. 1.1, 1.2 |
|
| Quadrilaterals | Properties of Parallelograms Exploring Geometry |
J Sect. 5.1 R Sect. 5.5 |
Books referenced:
J - Geometry, by Ray C Jurgensen, Richard G. Brown and John W. Jurgensen, McDougal Littell 2000.
R - Geometry for Enjoyment and Challenge, by Richard Rhoad, George Milauskas and Robert Whipple, McDougal Littell 1991.
Exploring Geometry with Geometer's Sketchpad, by Dan Bennett, Key Curriculum Press, 2002.