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4.1 Creating, Describing, and Analyzing Patterns

Math Content:

This two-part e-example encourages students to use visualization, spatial reasoning, and geometric modeling to build their own patterns or recreate one from given square arrays.

eEx_4.1 IMAGE SandboxMode  In the sandbox mode, drag tiles to the bar located at the bottom of the interactive. These should be placed in the order in which you want them to be repeated on the workspace.

eEx_4.1 IMAGE PuzzleMode  In the puzzle mode, do the same as above, but place tiles in such a way so that the predetermined pattern is recreated. There are two levels of difficulties in this mode (nicer and nastier).

To place the tiles onto the board, you can:

  • Press the double arrows. eEx_4.1 IMAGE DoubleArrow This will place one tile at a time.
  • Press the play button. eEx_4.1 IMAGE Play This will animate all of your tiles filling up the board.
  • Press the fast forward button. eEx_4.1 IMAGE FastForward This will place all your tiles on the board without animation.

If you were unable to create the desired pattern, the rewind button, eEx_4.1 IMAGE Rewind , can be pressed to reset the board. This will not reset your pattern bar.

Create pattern units of two to five squares and display them on the grid. Can you visualize how the grid will look when your pattern is repeated? Try these challenges:

  • Make different patterns with units of varying size. The units you create should all result in a pattern with vertical stripes when displayed on the grid.
  • Make a unit that will create a pattern with red squares appearing diagonally on the grid.
  • Create a pattern whose eighteenth square is green.