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4-25.

Two of the connections in your Representations of Patterns Web are pattern → table and pattern → rule. Practice these connections as you answer the questions below.  

  1. On graph paper, draw Figure 0 and Figure 4 for the pattern below.

    Tile

    Tile

     

    Tile

    Tile

     Tile

    Figure 1

    Tile

    Tile

    Tile

     

    Tile

    Tile

    Tile

     Tile

    Figure 2

    Tile

    Tile

    Tile

    Tile

     

    Tile

    Tile

    Tile

    Tile

     Tile

    Figure 3

    What is the growth between the number of tiles in each figure?

     

    Tile

     

    Tile

     Tile

    Tile

    Tile

    Tile

    Tile

    Tile

     

    Tile

    Tile

    Tile

    Tile

    Tile

     Tile

       

  1. Represent the number of tiles in each figure with a table.

  2. Represent the number of tiles in each figure with an algebraic rule.

    What is the growth between the number of tiles in each figure?

    What is the starting amount?