f38-measurement-puzzles

f38-measurement-puzzles - Measurement Puzzles A Lesson in...

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Mar. 2005 Measurement Puzzles Slide 1 Measurement Puzzles A Lesson in the “Math + Fun!” Series
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Mar. 2005 Measurement Puzzles Slide 2 About This Presentation Edition Released Revised Revised First Mar. 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
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Mar. 2005 Measurement Puzzles Slide 3 Measurement for Cooking You have a 3-cup container and a 5-cup container only. The cups are not graduated. How do you measure one cup of sugar? 3 5 Now add a 10-cup container and show how to measure 11 cups of sugar? 10 2 = 5 – 3 3 4 = 3 + 3 + 3 – 5 or 1 + 3 5 6 = 3 + 3 7 = 5 + 5 – 3 or 2 + 5 8 = 5 + 3 9 = 3 + 3 + 3 10 = 5 + 5 Challenge: Continue to 20 cups. 11 = 10 + (3 + 3 – 5) 1 = 3 + 3 – 5
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Mar. 2005 Measurement Puzzles Slide 4 Activity 1: Measuring Sugar You have a 1-cup, a 3-cup, and a 9-cup container. The cups are not graduated. How do you measure different amounts of sugar, from 1 to 30 cups, using the fewest number of steps? For example, use 3 once instead of 1 three times. 1 3 9 1 2 = 1 + 1 3 4 = 3 + 1 5 = 9 – 3 – 1 6 = 6 – 3 7 = 9 – 3 + 1 8 = 9 – 1 9 10 = 9 + 1 11 = 12 = 13 = 14 = 15 = 16 = 17 = 18 = 19 = 20 = 21 = 22 = 23 = 24 = 25 = 26 = 27 = 28 = 29 = 30 =
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Mar. 2005 Measurement Puzzles Slide 5 How to Get Half a Glass of Water? A cylindrical glass is filled to the brim. How do you get half a glass of its content without using any other item? Full glass Half full Can’t do this if the glass has a conical, rounded, or irregular shape. You have a container, with a tight lid or cork, filled to the brim with fruit juice. How do you divide the juice exactly in
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This note was uploaded on 12/29/2011 for the course MATH 34 taught by Professor Wei during the Fall '07 term at UCSB.

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f38-measurement-puzzles - Measurement Puzzles A Lesson in...

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