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Mr. Gensburg's Home Page

This page is dedicated to those lessons that are considered to be good practices.  Hope you enjoy.

This page was last modified on: 09/23/2007

Please return to this page to find frequent updates and links.

Dr. Angle  Cure for Central and Inscribed Angles

          This lesson was one of the first lessons that I developed with the SMART Board Interactive White Board.  In geometry, many thermos and postulates are given to our students but how many are truly learned.  To me, learning is best done through experience and discovery.  This lesson allows the students to self-discover the relationship between central angles and inscribed angles of a circle.  Every student’s work will be different, but their result will be the same, and together you can develop a formal statement about these angles. 

Dr. Angle Good Practice Word Doc Microsoft Word Document explaining and showing this lesson. 
Dr Angle Good Practice Adobe PDF Adobe PDF explaining and showing this lesson. 
Dr Angle Good Practice Cabri File Cabri Geometry File used in the above explanation. 
Dr Angle Good Practice SMART Notebook File SMART Notebook File of the Dr. Angle Activity.
Dr Angle Good Practice Notebook File Adobe PDF Adobe PDF of the SMART Notebook File.
Video of Dr. AngleFor best results Right click on the link to the left and choose "Save Target As".  once downloaded, then play.  This is a large file and therefore for best results, use a high speed internet connection. 

SMART Compass: Created by Bret Gensburg

This lesson is one of the newest creations that I have developed.  For this lesson you will need to save the image of the “White Circle” to a gallery, or download my math three gallery from my website. (http://www.ahs.stark.k12.oh.us/Math/Gensburg/SMARTBUGS.htm#Galleries

            Math three is a gallery dedicated to my students and one of my major philosophies of education: “If the students can play with it on their desks’, then I must be able to play with on the SMART Board.  In the state of Ohio, there are math content standards.  It was obvious that the SMART Board, through SMART Notebook, could handle every one of those content standards until it got to geometry constructions.  This racked my brain.  Finally it hit me.  I created a circle with the ellipse feature and a 10 x 10 grid.  I added a red dot for the center, removed the grid and grouped the circle and dot together.   I then drew a thick white mark over the black circle, creating a white-out.  Now, only the red dot shows if the background of my notebook file is white.  I can then use the “erase” feature, “clone” feature, and “order” feature to show different sections of the circle, thus creating an arc like a compass.  Now I can use this for any construction problem that I may need to teach, and if I change my background, I can change the white-out to the same color.  Have Fun!

SMART Compass Good Practice Word Doc Microsoft Word Document explaining this lesson. 
SMART Compass Good Practice Adobe PDF Adobe PDF explaining and showing this lesson. 
SMART Compass Good Practice SMART Notebook File SMART Notebook File of the SMART Compass with an Angle Bisector and Perpendicular Lines.
SMART Compass Good Practice Notebook File Adobe PDF Adobe PDF of the SMART Notebook File.
Video of the SMART Compass in ActionFor best results Right click on the link to the left and choose "Save Target As".  once downloaded, then play.  This is a large file and therefore for best results, use a high speed internet connection. 

Geometry Yahtzee: Created by Bret Gensburg

This lesson is not yet useable for the SMART Board, but I hope to one day have a flash gallery that will allow learners to play this Geometry Yahtzee Game on the SMART Board.

One day I was wondering why students could not add by seeing the relationship to numbers.  I thought hard about what happened in my life that gave me that skill.  Yahtzee came to mind.  I would play Yahtzee all the time and as a result I gained many mathematical skills.  Such as:

I have taken the game of Yahtzee and added a twist.  By making the sides of the dice different colors and polygons, more skills can be added to the list above.  Color allows the game to be played on all grade levels, and the shapes give the students another opportunity to work with the names of polygons. 

Below you will find the playing board.  Careful…I have changed some of the lower section.  The strategy from regular Yahtzee has changed.  Feel free to use the game board and change the numbers if you are working with younger students and just want to use the color recognition.  Also is a PDF file which sometimes seems to download and print faster, however it is not changeable.  Lastly is a Microsoft Word Document associated with the Avery Labels #8167.  Use that document to print your own stickers for a regular size dice.  Have Fun!

bullet Number Sense
bullet How to Add/Subtract/Multiply/Divide “Tricks”
bullet Recognizing Patterns
bullet How to strategize
bullet Discover probability
bullet Have fun
Geometry Yahtzee Official Score Sheet Word Doc Microsoft Word Document of the Score Sheet needed to play Geometry Yahtzee
Geometry Yahtzee Official Score Sheet Adobe PDF Adobe PDF of the above Word Document of the Score Sheet. 
Geometry Yahtzee Dice Word Doc Set for the Avery Labels #8167: 80 labels / sheets

More to come:
Pennies and Stones, Balancing Chemical Equations, and much more.

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