| 
  • If you are citizen of an European Union member nation, you may not use this service unless you are at least 16 years old.

  • You already know Dokkio is an AI-powered assistant to organize & manage your digital files & messages. Very soon, Dokkio will support Outlook as well as One Drive. Check it out today!

View
 

G-2D-1-3

Page history last edited by Brenda Butz 6 years, 2 months ago

G.2D.1.3 Apply theorems involving the interior and exterior angle sums of polygons and use them to solve real-world and mathematical problems using algebraic reasoning and proofs.


In a Nutshell

Students will explore relationships between non-overlapping triangles formed within polygons to develop the formula for the sum and individual measure of interior angles of polygons.  The concept of linear pairs is applied as it relates to the relationship between interior and exterior angles.

Student Actions

Teacher Actions

  • Develop a Deep and Flexible Conceptual Understanding: Students will make the connection between linear pairs and interior and exterior angle pairs of a polygon.

  • Develop Accurate and Appropriate Fluency: Students will develop the algorithm for finding interior or exterior angles of a polygon through a variety of tasks.

  • Develop Strategies for Problem Solving: Students will solve real world applications involving the of interior and exterior angles of polygons.

  • Develop the Ability to Make Conjectures, Models, and Generalizations: Students will make conjectures, model and make generalizations to prove the properties of interior and exterior angles.
  • Teachers will pose purposeful questions about the connection between the number of triangles that can be drawn from a single vertex of a polygon to the sum of the interior angles of that polygon.

  • Teachers will reinforce the connection and relationship between the interior and exterior angles of a polygon and linear pairs.

  • Teachers will continue to build procedural fluency by extending the concept of linear pairs with interior and exterior angles of different polygons.

  • Teachers will help promote productive struggle by providing a variety of tasks that encourage students to prove the properties of interior and exterior angles.

Key Understandings

Misconceptions

  • Students understand the measures of exterior angles of a polygon will total 360 degrees.

  • Students understand that the sum of the interior angles is based on the number of non-overlapping triangles that can be drawn from one vertex.

  • Students understand  the relationship between interior and exterior angles if formed from linear pairs.

  • Students confuse interior angles and exterior angles.

  • Students will try to make exterior angles and interior angles complementary.

 

OKMath Framework Introduction

Geometry Grade Introduction

 

Comments (0)

You don't have permission to comment on this page.