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## #3046. Polygons

Mathematics, level: Middle
Posted Tue Feb 3 18:35:58 PST 2004 by Rick DelSignore (rickdelsignore@yahoo.com).
University of Pittsburgh at Johnstown, Johnstown, PA
Materials Required: overhead projector, computer with powerpoint
Activity Time: 40 minutes

Lesson Plan

Teacher: R. DelSignore Date: November 24, 2003
Unit: Polygons Lesson: Angles of Polygons
PA Academic Standards: 2.9.8.J: Analyze geometric patterns (e.g., tessellations, sequences of shapes) and develop descriptions of the patterns.
2.3.8.C: Measure angles in degrees and determine relations of angles.
2.3.8.D: Estimate, use and describe measure of distance, rate, perimeter, area, volume, weight, mass, and angles

Goal of this lesson:
For students to discover the relationship between the sides of a polygon and the number of diagonals that can be drawn from one vertex, the number of triangles that those diagonals form, and the sum of the interior angles of that polygon.

Materials:
1. Textbook
2. Transparencies
3. List of key questions with answers
5. Cooperative Learning Work Sheet
6. Extra pencils
7. Working markers
9. Class notes

1. Locate page number of lesson in textbook
2. Test markers to make sure they work
3. Make sure projector works
4. Prepare class notes
5. Prepare list of key questions and answers
6. Make transparency sheet
7. Complete transparency sheet
8. Make Cooperative Learning Work Sheet
9. Make Cooperative Learning Answer Key

Instructional Objectives (Student-centered, observable, and precise statements of what students will be able to do):
TSWBAT determine the number of diagonals that can be drawn from exactly one vertex of an n-sided polygon.
TSWBAT count the number of triangles that are formed from the diagonals of an n-sided polygon.
TSWBAT calculate the sum of the interior angles of an n-sided polygon.

Introduction (attention getter, anticipatory set, discrepant event, open-ended problem scenario, engagement):
For this lesson, I will be using the Hunter Model. I will begin by reviewing the material we did in the last class about the properties of triangles recalling information such as the sum of the interior angles, the number of sides, and the number of angles, etc. I will ask the students these questions as a review and also have several examples on the board to lead into the new material. This will be my anticipatory set from which I will base the material from this class on. (10 minutes)

Developmental Activities (Instructional components that provide opportunities for students to make progress toward intended instructional objectives):

At this point I will ask the students if they have any questions about what we have just gone over. I will answer any questions if they are any and if not, I will move on to the next activity. (5 minutes)

The next activity of the class will be a cooperative learning experience. I will hand out a worksheet asking some of the same relevant questions that I asked during the question and answer period. The students will be in groups that I have already predetermined. While they work on this, I will be walking around monitoring the students' progress on the assignment. At the end of the period, each student will be required to hand in their own paper. (15-20 minutes)

Assessment/Evaluation (How you and the students will know that they learned. May be formative or summative):
The diagnostic assessment for this lesson will be based on the responses at the beginning of class regarding the review of the concepts of the triangle. This will allow me to get a feel for how much the students learned from the last class.
The formative assessment for this lesson will be conducted during the question and answer period that will take up a good portion of the period. This will give me an insight as to how well the students are following the new material I will be presenting. It will be imperative that I do not call on the same students over and over again, so that I can get an overall view of how ALL of the students are grasping the concept.
Finally, the summative assessment will take place as I grade the work sheets the students hand in to me at the end of class. Also, the homework that is due for the next class will show me who is getting it and who may need some extra help.

Conclusion (Closure; a planned wrap-up for the lesson):
As a conclusion to the lesson, I will make sure there are no final questions. I will give the students an opportunity to ask any questions they may have about the material. If there are no questions I will assign the homework that is to be completed before the following class when we will go over it.

Accommodations/Adaptations for Students with Special Needs:
In order to accommodate the student with a learning disability, who requires visual aids to support all audial activities, I will be using the overhead projector for most of the lesson. The transparencies on the overhead will not only have the visual aids that the student requires, but also, there will be a complete list of significant questions. I will not, however, provide any of the students with copies of the transparency until the end of the lesson, as to keep their focus and promote their own note taking during class.

Technology Section:

The beginning of the class where we review the properties of a triangle, I will be using a PowerPoint presentation to help the students review.
During the bulk of the lesson, I will be using an overhead projector to instruct the students on the properties of polygons.

Reflective Notes: