A.S. 1.1.4 – 1.1.5.  How many plain M&M’s would it take to fill a bowl like the one on the front counter? ▪ Estimate your answer, and explain HOW you.

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Presentation transcript:

A.S – 1.1.5

 How many plain M&M’s would it take to fill a bowl like the one on the front counter? ▪ Estimate your answer, and explain HOW you reached your estimation.

 NO CALCULATORS! Estimate the answer to the following:  Work with your group—come up with one answer that you write on your group whiteboard.

 What is the approximate circumference of the Earth?  Use what you know in order to estimate an answer!  NO calculators! Image from: TerraAqua/TerraStory.html TerraAqua/TerraStory.html

 Always written as a whole number power of ten (i.e. There are ~10 6 people living in the Seattle area)  The OM is the power of ten that is “closest” to the value you are estimating  OM values are not very precise! They are an ESTIMATE!  But they DO give us a general idea about the magnitude (size) of a value

 If an approximate (or known) value can be determined, an Order of Magnitude can be calculated  OM values are only used to determine rough estimates  But HOW?? Let’s use the following example…

 According to the Census Bureau, the population of Washington in 2011 was 6,830,080 people.  The population growth rate between 2010 and 2011 was +1.6%/year  Based on this information, what, approximately, is the state’s population right now?

 Step 1: Assumptions?  Step 2: If those assumptions are accurate, determine the population (2011 population + 1.6% = 2012 population…it’s now 2014)  Step 3: can we consider this an exact number?

 Step 1:  Step 2: round z to nearest whole number  Step 3:  So… z = log(7,050,391) =  OM = 10 7 people in the state of WA

 For example,  How much larger than the population of Washington (state) is the US population? The World’s population?  Use the 2012 population of WA (6.897 million people) and the information from THIS WEBSITE to determine this answer.THIS WEBSITE

 WA Population: OM = ?  World population: OM = ?  The population of the world is approximately 10 3 times larger than the population of WA