Unit3: Making the Connection
Introduction
In this lesson, you will have an opportunity to become more "hands on" with lesson plans exhibiting geometrical connections. You will have an opportunity to see the use of dynamic geometry software to connect (prove) the Pythagorean theorem using the concept of area of squares. In Unit 3, you will explore a complete unit plan relating similarity to ratios in triangles and slopes when graphing those triangles on a Cartesian coordinate grid. You, the participant, will also have an opportunity to create your own "connected" lesson plans and share them with the internet education community, Share My Lesson.
Unit Objective
By the end of this unit, the participant will be able to:
- Identify a connection (or proof) between the Pythagorean theorem and area of squares.
- Identify connections in a pre-made geometry lesson plan
- Write three lesson plans that showcase geometry connections to strengthen student understanding.
What's the connection?
In this video, dynamic geometry software is used to provide a proof of the Pythagorean theorem. After viewing the video, in your learning journal, identify how the proof connects the Pythagorean theorem to a more fundamental geometry concept, surface area. http://www.teachertube.com/viewVideo.php?video_id=21015
Also, write in your learning journal what essential question could be asked to help students make the connection?
Seeing it in action
Explore this lesson plan specifically designed to connect the concepts of similarity to slopes and ratios of angles and sides in triangles. http://www.cpm.org/pdfs/information/conference/GC_Similarity_Geom_Bldg_Block.pdf
Using this graphic organizer, place "similarity" in the center. Identify all of the geometrical topics Milkes relates similarity to. [[1]]
Milkes, Chris. (2006) CPM Educational Program. It's All Connected: Similarity as a Building Block. [Retrieved from www.cpm.org]
Your Turn!
Using the following lesson plan template, or another format that you'd prefer, create three geometry lessons that utilize a strong connection to a foundation based on the fundamentals of geometry.
File:Common Core Lesson plan templates.doc
[Retrieved from http://www.tstboces.org/node/183 on 5/08/13]
Making Connections in the Geometry Classroom
Connect with other Educators
Create an account on Share my Lesson and share at least one of your lessons in the Common Core Math Index. http://www.sharemylesson.com/article.aspx?storyCode=50003209