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131 lines
5.7 KiB
HTML
131 lines
5.7 KiB
HTML
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<meta http-equiv="content-type" content="text/html; charset=utf-8">
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<title>Activity: Is Your Secret Safe? Think Exponentially</title>
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<meta name="Description" content="Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. For K-12 kids, teachers and parents." />
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<!-- #BeginEditable "Body" -->
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<h1 class="center">Activity: Is Your Secret Safe? Think Exponentially</h1>
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<p>What you'll need:</p>
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<ul>
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<li>pen and paper</li>
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<li>a secret</li>
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</ul>
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<p><span class="large">1st</span>: Think of a secret that you don't want anyone to know (aside
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from a couple of dear close friends).</p>
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<p><span class="large">2nd</span>: Think of those close friends, draw them and write their names on each picture:<br></p>
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<p class="center"><img src="images/secret-exponent-1.svg" alt="secret exponent 1" /></p>
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<p> </p>
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<p><span class="large">3rd</span>: So, on the first day you tell each of your friends your secret, how many total people (aside
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from you) now know your secret? (Answer is 3, right?)</p>
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<p class="center">______ total people in ___ day</p>
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<p> </p>
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<p><span class="large">4th</span>: Now, if the next day each of your friends tell three of their friends, how many people now know your secret (aside from you)? Draw them underneath each of their friends</p>
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<p class="center"><img src="images/secret-exponent-2.svg" alt="secret exponent 2" /></p>
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<p class="center"> </p>
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<p class="center">______ total people in ___days</p>
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<p> </p>
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<p><span class="large">5th</span>: Now, lets say the following day each of these friends tell three friends. Now how many people know your secret? Draw them</p>
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<p class="center"><img src="images/secret-exponent-3.svg" alt="secret exponent 3" /></p>
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<p class="center"> </p>
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<p class="center">______ total people in ___ days</p>
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<p> </p>
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<p><span class="large">6th</span>: We can see how fast your rumor can spread right? There's got to be a better way of
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calculating who will know your secret.</p>
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<h2>In Walks Exponents ...</h2>
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<p>Exponents will quickly allow us to calculate how many people know your rumor</p>
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<p>Day 1: <span class="large">3<sup>1</sup></span> (=3) know your secret</p>
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<p>Day 2: <span class="large">3<sup>2</sup></span> (= 3×3 = 9) plus the original 3 know your secret</p>
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<p>Day 3: <span class="large">3<sup>3</sup></span> (= 3×3×3 = 27) plus those on day 1 and day 2) know your secret</p>
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<p>Day 4: <span class="large">3<sup>4</sup></span> (= 3×3×3×3 = 81) plus those on day 1,2 and 3) know your secret, and so forth...</p>
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<p>As those who are told begin to tell others, the exponent grows.</p>
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<p>Moral of the story? Keep your secrets with you, or those you really trust.</p>
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<h2>Questions For You ...</h2>
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<ul>
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<li>How long till your school or neighborhood knows your secret?<br></li>
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<li>How long till the whole country knows your secret?<br></li>
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<li>How long till the whole world knows your secret?</li>
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</ul>
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<p> </p>
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<p align="right">Activity courtesy of <a href="hands-on-math.html">Hands On Math</a></p>
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<div class="related">
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<a href="../exponent.html">Exponents</a>
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<a href="index.html">Activity Index</a>
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Copyright © 2020 MathsIsFun.com
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