NCTM 2009 Sudoku Variations Handout.pdf

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NCTM 2009 Sudoku Variations Handout

Sudoku Variations:

Supporting Understanding

across the Mathematics

Curriculum

Jeffrey Wanko

wankojj@muohio.edu

Benjamin Walker

walkerbl@muohio.edu

Miami University

Oxford, OH

Presented at the NCTM 2009 Annual Meeting

April 23, 2009

Washington, D.C.

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“GREATER THAN” SUDOKU

As with Sudoku, the numbers in the Greater Than Sudoku puzzle solutions appear once in each

row, each column, and each outlined region. In addition, there are “greater than” symbols

placed between adjacent squares in the outlined regions, indicating which number is greater

than the other.

For example, in the solution to the 6 x 6 puzzle below, you can see that each number from 1 to

6 appears once in each row, column, and outlined region. You can also see that between any

two adjacent squares in an outlined region, the “greater than” symbol points to the smaller of

the two numbers.

Greater Than Sudoku Example

Greater Than Sudoku Example

Solution

Use what you know about ordering of numbers and problem solving strategies to place the

digits 1-4 in the following puzzles.

Greater Than Sudoku

Puzzle 1

Greater Than Sudoku

Puzzle 2

Greater Than Sudoku

Puzzle 3

What strategies are the most helpful in solving these Greater Than Sudoku puzzles?

Greater Than Sudoku

Sudoku Variations - 1  

J. Wanko & B. Walker – Miami University

NCTM 2009 Annual Meeting  

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Solve the following Greater Than Sudoku puzzles

Greater Than Sudoku

Puzzle 4 – Easy

Greater Than Sudoku

Puzzle 5 – Medium

Greater Than Sudoku

Puzzle 6 – Medium

Greater Than Sudoku

Puzzle 7 – Difficult

Greater Than Sudoku

Sudoku Variations - 2  

J. Wanko & B. Walker – Miami University

NCTM 2009 Annual Meeting  

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Solve the following Greater Than Sudoku puzzle

Greater Than Sudoku

Puzzle 8 – Difficult

(from www.killersudokuonline.com)

Some Greater Than Sudoku Resources

• Killer Sudoku Online (http://www.killersudokuonline.com) carries a daily 9 x 9 Greater

Than Sudoku showing all of the greater than symbols, a weekly 9 x 9 Greater Than

Sudoku with some of the symbols removed, and a weekly 9 x 9 Greater Than Killer

Sudoku that combines these two types. These can be printed out or solved online. Many

of the previous puzzles are also archived on their website.

• Several 9 x 9 Greater Than Sudoku puzzles are available at Yoogi Games

(http://syndicate.yoogi.com/greatest-sudoku). They also sell books of Sudoku puzzles

including one of “Comparison Sudoku” (their name for Greater Than Sudoku).

• The blog “A Day in the Life” contains an entry where the writer describes his step-by-

step procedure for solving a specific Greater Than Sudoku puzzle. This is available at

http://stuckinthecube.blogspot.com/2007/05/solving-greater-than-sudoku-puzzles.html.

• A free mobile phone application of Greater Than Sudoku puzzles is available at

http://www.mobilerated.com/greater-than-sudoku-1701.html.

Note: All of the above resources focus only on 9 x 9 Greater Than Sudoku puzzles. The 4 x 4

and 6 x 6 variations given here were created for this presentation. These were not difficult to

design, but they required some verification for uniqueness and solvability.

Greater Than Sudoku

Sudoku Variations - 3  

J. Wanko & B. Walker – Miami University

NCTM 2009 Annual Meeting  

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GEOMETRY SUDOKU

As with Sudoku, the numbers in the Geometry Sudoku puzzle solutions appear once in each row

and each column. There are no outlined regions. Instead, clues are given describing the shape

that would be created if the uncircled numbers of that type were connected (consider

connecting the centers of the squares in which these numbers are placed). The shapes that are

given are the most specific shape name for those numbers. For example—a shape described as

a parallelogram will not be a rectangle, square, or rhombus. If it were, then the more specific

name would be used.

For example, in the 5 x 5 puzzle below, six circled numbers have been placed in the starting

grid at the left. The remaining numbers must be placed so that they form the vertices of the

shapes indicated. In the solution at the right, the numbers have been placed so that each

number appears in each row and column, and so that the uncircled numbers of each type form

the shapes that are indicated (see the three shape grids below).

1 – Quadrilateral

2 – Parallelogram

3 – Rectangle

4 – Isosceles right triangle

5 – Rectangle

Geometry Sudoku Example

Geometry Sudoku Example

Solution

2 – Parallelogram

4 – Isosceles right triangle

3 – Rectangle

5 – Rectangle

1 – Quadrilateral

Geometry Sudoku

Sudoku Variations - 4  

J. Wanko & B. Walker – Miami University

NCTM 2009 Annual Meeting  

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Plik z chomika:

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medium.pdf (453 KB)
magic.pdf (502 KB)
hard.pdf (451 KB)
easy.pdf (451 KB)
100sudoku1.pdf (775 KB)

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