f38-counting-problems

# f38-counting-problems - Counting Problems A Lesson in the...

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Feb. 2005 Counting Problems Slide 1 Counting Problems A Lesson in the “Math + Fun!” Series

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Feb. 2005 Counting Problems Slide 2 About This Presentation Edition Released Revised Revised First Feb. 2005 This presentation is part of the “Math + Fun!” series devised by Behrooz Parhami, Professor of Computer Engineering at University of California, Santa Barbara. It was first prepared for special lessons in mathematics at Goleta Family School during the 2003-04 and 2004-05 school years. The slides can be used freely in teaching and in other educational settings. Unauthorized uses are strictly prohibited. © Behrooz Parhami
Feb. 2005 Counting Problems Slide 3 Counting Is Easy, Isn’t It? True, when the number of things is small or the items to count are neatly laid out But it can be tricky or hard How many tiles? How many animals are there in this picture?

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Feb. 2005 Counting Problems Slide 4 How Not to Count “A cow has 12 legs, 2 in front, 2 in back, 2 on each side, and 1 in each corner.” – N.J. Rose How many legs does a cow have?
Feb. 2005 Counting Problems Slide 5 Remove exactly four dots so that no square can be formed with the dots that remain. 5 + 4 + 2 = 11 Counting Squares: Easy Version How many squares can you find that have four of these dots in the corners? Other answers?

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Counting Problems Slide 6 Counting Squares: Harder Version How many squares can you find that have dots in their corners? Remove exactly
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f38-counting-problems - Counting Problems A Lesson in the...

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