September 9, 2014

PS - Patterns

Much discussion went into the "how" to figure out the patterns. The answers and patterns are as follows:

1. 9, 11,13.       (odd #'s in sequence)
2. 9, 3.           (divide by 3)
3. 8,192; 65,536.  (multiply 8)
4. 13, 11.         (+3; -2)
5. 21, 34, 55, 89  (Fibonacci Sequence; add the 2 previous        numbers to acquire the next number in the sequence)

At this point of the year, much class time is spent on the processes and referring to the "Problem Solving Strategies." I also shared some information about the mathematician Fibonacci. He was born around 1175 and died around 1250. He is also credited for bringing the Hindu-Arabic number system (using digits 0-9) and replacing the use of the Roman system during the 12th century. The Fibonacci Sequence creates a spiral design and influences or is visible in nature, art, architecture, poetry, music, science and technology.

On Thursday, the next problem solving plans will be Working Backwards, and Guess & Check.  We will also look for ways to solving the problem with easier steps (i.e. algebraic expressions).