Polygon Book Project

Learning Resource Type

Learning Activity

Subject Area

Mathematics

Grade(s)

9, 10, 11, 12

Overview

In this activity, students will investigate patterns and relationships related to the interior and exterior angles of polygons.  Students will also use Geogebra to construct regular and irregular polygons. 

This activity results from the ALEX Resource Development Summit.

Phase

During/Explore/Explain
Mathematics (2019) Grade(s): 09-12 - Geometry with Data Analysis

MA19.GDA.36

Use geometric shapes, their measures, and their properties to model objects and use those models to solve problems.

UP:MA19.GDA.36

Vocabulary

  • Model

Knowledge

Students know:
  • Techniques to find measures of geometric shapes.
  • Properties of geometric shapes.

Skills

Students are able to:
  • Model a real-world object through the use of a geometric shape.
  • Justify the model by connecting its measures and properties to the object.

Understanding

Students understand that:
  • Geometric shapes may be used to model real-world objects.
  • Attributes of geometric figures help us identify the figures and find their measures. therefore, matching these figures to real-world objects allows the application of geometric techniques to real-world problems.

Learning Objectives

Students will construct polygons using dynamic geometric software and use these constructions to investigate patterns and relationships related to the interior and exterior angles of polygons.

Activity Details

  • Students will access the Geogebra class created by the teacher.
  • The students will complete the tasks included in the Polygon Book Project to construct polygons and use these constructions to investigate patterns and relationships related to the interior and exterior angles of polygons.
  • Once students begin working, the teacher can monitor student activity by visiting the Task Overview page.

Assessment Strategies

Teachers may share the following rubric with students:

Polygon Book Project Rubric

Your Polygon Book Project will be worth 40 points

Due Date: 

Worksheet #1: Regular Polygon: (16 points)

  1. Angles labeled and measured.  Side lengths measured
  2. Sum of interior angle formula used.
  3. Added up interior angles and sum equals #2 above
  4. Exterior angles are measured and add up to 360

Points Earned: ______ /16

Worksheet #2: Irregular Polygon: (16 points)

  1. Angles labeled and measured.  Side lengths measured
  2. Sum of interior angle formula used.
  3. Added up interior angles and sum equals #2 above
  4. Exterior angles are measured and add up to 360

Points Earned: ______ /16

 Conclusion: (8 points)

Answer the following questions:

  1. What did you find out about the interior angles of all polygons?
  2. What did you learn about the sum of the interior angles formula?
  3. Did it work for all the polygons you created?
  4. Did it work for all the polygons your classmates created?

Points Earned: ______ /8

Total Points Earned: ________ / 40

Background / Preparation

GeoGebra is dynamic mathematics software for all levels of education that brings together geometry, algebra, spreadsheets, graphing, statistics, and calculus in one easy-to-use package. The teacher and students will need to be able to use GeoGebra tools. 

The teacher will need to select the ASSIGN button on the GeoGebra Polygon Project site to create a lesson code to view the students' progress in real-time. 

Learning Activity (Before)

Polygons in Real Life

Total Duration

16 to 30 Minutes

Learning Activity (During)

Polygon Book Project

Learning Activity (After)

Polygon Angle Relationship Quiz

Materials and Resources

  • Internet access
  • Digital Device
GeoGebra - Polygon Book Project
https://www.geogebra.org/m/vVCH2Yq5

Approved Date

Owner (Author)

ahowardedd
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