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Home > CC3 > Chapter 1 > Lesson 1.1.2 > Problem 1-12

1-12.

Examine the tile pattern below.    

tile

 tile

tile

Figure 1

tile 

tile 

tile 

tile 

tile 

Figure 2

tile 

tile 

tile 

tile 

 tile

 tile

tile 

Figure 3

  1. On your paper, sketch Figures 4 and 5.

    Before you can draw the next figures, you must understand the pattern. How many unit squares are added to form the next figure? Where are they added?

    tile 

    tile 

    tile 

    tile 

    tile 

    tile

    tile

    tile

    tile

    Figure 4

    tile 

    tile 

    tile 

    tile 

    tile 

    tile 

    tile 

    tile 

    tile 

    tile 

    tile 

    Figure 5

  1. How does the pattern grow? Explain how you know.

    What is the difference in number of squares between Figure 1 and Figure 2? Between Figure 2 and Figure 3?

    The pattern grows each time by two tiles, one on each side of the figure.

  1. How many tiles will there be in Figure 100? Explain how you know.

    Try thinking of the pattern not as an 'L' shape, but a square with some part removed. What size would the square for Figure 100 be?    

    tile

    Shaded   

    Shaded   

    Shaded   

    tile

    Shaded   

    Shaded   

    Shaded   

    tile

    Shaded   

    Shaded   

    Shaded   

    tile

    tile

    tile

    tile

    tiles

Use the eTool below to draw the additional figures.
Click the link at right for the full version of the eTool:   1-12 HW eTool (CPM)