Polygon Book Project
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This learning activity provided by:
Author:
Adriane Howard
System: Tuscaloosa City School: Paul W Bryant High School
General Activity Information
Activity ID:
2612
Title: Polygon Book Project
Digital Tool/Resource: Geogebra
Web Address – URL:
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.
Associated Standards and Objectives
Content Standard(s):
Mathematics 12 ) Make formal geometric constructions with a variety of tools and methods such as compass and straightedge, string, reflective devices, paper folding, and dynamic geometric software. Constructions include copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line. [G-CO12]
Alabama Alternate Achievement Standards
AAS Standard: M.G.AAS.HS.12- Given a drawing with angles and a protractor overlay, determine which angles are congruent. Sample image below.
Image
Mathematics 36. Use geometric shapes, their measures, and their properties to model objects and use those models to solve problems.
Unpacked Content
Evidence Of Student Attainment:
Students:
Given a real-world object,
Select an appropriate geometric shape to model the object.
Provide a description of the object through the measures and properties of the geometric shape which is modeling the object.
Explain and justify the model which was selected. Teacher Vocabulary:
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. Diverse Learning Needs:
Essential Skills:
Learning Objectives: GEO.36.1: Estimate the dimensions of a given object.
GEO.36.2: Discuss the properties of a given object.
GEO.36.3: Identify the relationship of geometric representations to real-life objects.
Prior Knowledge Skills:
Recognize attributes of geometric shapes.
Alabama Alternate Achievement Standards
AAS Standard:
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.
Strategies, Preparations and Variations
Phase: During/Explore/Explain
Activity:
After opening the link to the Geogebra book , the teacher will create a class and share the class code with students.
Students will access the class by visiting www.geogebra.org/classroom and entering the code 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)
Angles labeled and measured. Side lengths measured
Sum of interior angle formula used.
Added up interior angles and sum equals #2 above
Exterior angles are measured and add up to 360
Points Earned: ______ /16
Worksheet #2: Irregular Polygon: (16 points)
Angles labeled and measured. Side lengths measured
Sum of interior angle formula used.
Added up interior angles and sum equals #2 above
Exterior angles are measured and add up to 360
Points Earned: ______ /16
Conclusion: (8 points)
Answer the following questions :
What did you find out about the interior angles of all polygons?
What did you learn about the sum of the interior angles formula?
Did it work for all the polygons you created?
Did it work for all the polygons your classmates created?
Points Earned: ______ /8
Total Points Earned : ________ / 40
Advanced Preparation: Students will need internet access and a device.
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.
Variation Tips (optional):
Notes or Recommendations (optional):
Note: This project was adapted from http://questgarden.com/109/63/0/100926111037/process.htm
2019 ALCOS: 29. Find patterns and relationships in figures including lines, triangles, quadrilaterals, and circles, using technology and other tools. a. Construct figures, using technology and other tools, in order to make and test conjectures about their properties.
Keywords and Search Tags
Keywords and Search Tags:
exterior angles, GeoGebra, interior angle sum formula, interior angles, irregular polygons, patterns, polygons, regular polygons, relationships
