# Online SuDoku

Fill in the grid with digits so that every row, every column and every 3x3 box contains all of the digits 1-9, without any repeats .

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## Ideas for the Mathematics Teacher:

Sudoku puzzles can be a great tool for Secondary/High school mathematics lessons. Here are some ideas for activities that can be done with Sudoku puzzles:

1. Introduction to Logic: Sudoku puzzles require logical reasoning and deduction to solve. Students can be introduced to the concept of logical reasoning through Sudoku puzzles.
2. Combinatorics: A standard 9x9 Sudoku grid has 81 cells. Each cell can contain one of nine digits. The number of possible ways to fill in the Sudoku grid can be calculated using basic combinatorics. Students can explore the concept of permutations and combinations through Sudoku puzzles.
3. Group Theory: The Sudoku grid has certain symmetries that can be explored using group theory. For example, the Sudoku grid can be rotated, reflected, or flipped without changing the puzzle's solution. Students can learn about group theory and its applications through Sudoku puzzles.
4. Statistics: Sudoku can be used to introduce probability and statistics. For example, students can calculate the probability of a certain digit appearing in a specific cell of the Sudoku grid. They can also use Sudoku puzzles to practice collecting and analyzing data.
5. Programming: Students can write computer programs to solve Sudoku puzzles. They can use algorithms such as backtracking or constraint propagation to solve Sudoku puzzles. Programming Sudoku solvers can help students learn about programming concepts such as recursion, data structures, and algorithm design.
6. Graph Theory: The Sudoku grid can be represented as a graph. Each cell in the Sudoku grid can be represented as a node, and each row, column, and 3x3 subgrid can be represented as an edge. Students can learn about graph theory and its applications through Sudoku puzzles.
7. Problem Solving: Students could try Clue Sudoku and Sudoku Sum and then invent some challenges of their own.

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