Updated on June 27, 2007
Contact Bob Hazen if you would like to share files here as well.

A place for math teachers to share files

from: Lance Sayward

"I created this list of enduring understandings and essential questions as part of a course emphasizing backward design (Wiggins & McTighe, 2005). I derived my enduring understandings from the Principles and Standards of School Mathematics (NCTM, 2000). Since many states (New York included) model their own standards on this document, I thought this would make my work readily transferable. Such transfer seems needed as I was disappointed with the results of my Internet research for examples of enduring understandings and essential questions."

" In the first column I include the NCTM version of the standard. In the second column I include the enduring understanding I derived; only five of the thirty-six standards needed significant modification. In the third column I include the essential questions that extend from the enduring understanding. These understandings and questions would persist from prekindergarten through grade twelve with students' understandings and answers deepening with each passing year."

Wiggins, G. and McTighe, J. (2005). Understanding by design. Alexandria, VA: Association for Supervision and Curriculum Development.

National Council of Teachers of Mathematics. (2000). Principles and standards of school mathematics. Reston, Virginia: National Council of Teachers of Mathematics.

 

from: Tom Prichard... Here is something I did with 7th graders, knowing they may later have these types of problems on some Math A regents tests. Consecutive Even Integers

From: Andy Janovsky; Yeshiva Ohr Hameir 2000-; John F. Kennedy H.S. Bronx 1973- 1996; Charles Evans Hughes H.S. Manhattan 1964-1973

I have attached an Excel spread sheet that generates individualized, self checking, equation worksheets combined with a Sudoku game. The solutions to the nine equations on the left are the digits 1 to 9. Each digit is used only once. These solutions become the left column clues in a Sudoku puzzle. The solutions on the right become the right column clues in the puzzle.

The coefficients in the equations are generated by the Randbetween spreadsheet function. The remaining clues in the Sudoku puzzle are permutations of one solution. The equations in all work sheets are very different. The sudoku puzzles look different even though they are essentially the same when generated by the same puzzle solution.

The attached spread sheet contains four pages with 4 different Sudoku solutions as generators. Some have more than one solution. You can print the work sheets by pressing Ctrl-x. At the present time, the macro prints two sets of 4 work sheets. You can edit the macro to print as many spread sheets as you want. You can also change the generating solutions by expanding the cells and pasting new solutions in the generating cells.

Since the cells that generate the permutations have been reduced in height to two pixels, they are not visible in the printed work sheet. For some reason, if the cell height is less than two pixels, the macro does not work.

I am working on some other Excel generated work sheets. When they are ready, I will send them to you.

From Melody DeRosa of TI:

From Andrew Janovsky, Yeshiva Ohr Hameir, Peekskill, NY:

 

 

 

 

Contact Bob Hazen if you would like to share files here as well.