# intro to Pattern

## by kent_poulton on Jul 18, 2011

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## intro to Pattern Presentation Transcript

• Introduction to pattern
• Above pattern is of tables at a function around which a particular number of people must sit. In order to work out how many people can sit around any arrangement of tables you must use a number of different formats. The first of these is to draw the pattern to the sequence in the pattern you need. However this can become cumbersome …..
• Another way of representing and extending the information is to use a table. To do this we need to use draw or visualise at least a few sequences in the pattern. This method also has its limitations …..
• The next method is to draw a graph of the data. This method allows for considerable extrapolation. But like the previous method you still need the information from the previous method But there is still a better way.
• Mathematical Model You can create a mathematical model from any of the previous data methods. Some people find it easy to use one method and another person will prefer a different one. Before we get the data from the picture, table or graph we need to learn this formula #seats = slope x #of tables + y-intercept or Y = M x + C
• Slope is the rise over the run = --------- Y-intercept is the point where the line crosses the Y axis. =
• Slope is the difference between consecutive seat data Y-intercept is the difference between the first seats data and the slope eg: first data – slope = #tables #seats 1 4 2 6 3 8 4 10 5 12 6 14
• Make a table showing the relationship between the number of shapes and the number of sides or sticks in the pattern above. Graph (scatter) the data from the table and write a sentence about the relationship in the pattern. Can you write a mathematical model for this pattern?
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• Now make a table showing the relationship between the number of triangles and the number of sides in the pattern below. Graph (scatter) the data from the table and write a sentence about the relationship in the pattern. Write a mathematical model for this pattern?
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