Variety of Series and Patterns in Math
What is a series? And a pattern? In this post, we’ll teach you all about series and patterns.
To talk about patterns is to talk about regularities.
Regularities are everywhere and it’s a special skill to be able to recognize them. Regularities exist in natural and social phenomena; the search for regularities is the base of science.
Just by observing your surroundings, you can find groups of elements that have been set in a certain way that follow a rule. You can find patterns!
What exactly are series and patterns?
A pattern is a succession of elements (they could be auditory, gestural, graphic…) that is formed by following a rule; that rule can be either repetition or reoccurrence.
Repeating patterns have different elements that are displayed periodically.
We can make lots of diverse repeating patterns, keeping its structure in mind. Here are some examples:
- AB: Two different alternated elements are repeated.
- ABC: Three different alternated elements are repeated.
- AAB: One element is repeated two times and followed by another.
- AABB: One element is repeated two times and followed by two repetitions of another.
In reoccurring patterns, the elements change with regularity. We can infer the rule of its formation; that’s to say, you can find out what the next element will be by observing how the pattern of the revealed elements. For example:
Now that we know what a pattern is and the types of rules that they can follow, we’re going to take a look at some pattern and series activities:
There are exercises where we can only copy a given pattern (reproduction):
In others, we’ll have to identify the pattern that a series is following (identification):
While there are others where we need to identify the pattern that we need in order to continue a series (extension):
And there are even exercises where we need to identify the pattern to be able to complete a series (extrapolation):
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