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

1-12.

Examine the tile pattern below.    

azulejo

 azulejo

azulejo

Figure 1

azulejo

azulejo

azulejo 

azulejo 

azulejo 

Figure 2

azulejo

azulejo

azulejo 

azulejo 

azulejo

azulejo

azulejo

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?

    azulejo

    azulejo

    azulejo 

    azulejo

    azulejo 

    azulejo

    azulejo

    azulejo

    azulejo

    Figure 4

    azulejo

    azulejo 

    azulejo

    azulejo

    azulejo

    azulejo 

    azulejo 

    azulejo 

    azulejo 

    azulejo

    azulejo 

    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?    

    azulejo

    azulejo sombreado  

    azulejo sombreado  

    azulejo sombreado    

    azulejo

    azulejo sombreado     

    azulejo sombreado   

    azulejo sombreado   

    azulejo

    azulejo sombreado    

    azulejo sombreado    

    azulejo sombreado    

    azulejo

    azulejo

    azulejo

    azulejo

    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)