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154 lines
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HTML
154 lines
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HTML
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<!-- Mirrored from www.mathsisfun.com/activity/associative-commutative-distributive.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:57:51 GMT -->
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<title>Activity: Commutative, Associative and Distributive</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: Commutative, Associative and Distributive</h1>
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<p>Learn the difference between <a href="../associative-commutative-distributive.html">Commutative, Associative and Distributive Laws</a> by creating:</p>
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<p class="largest" align="center">Comic Book Super Heroes</p>
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<p class="center"><img src="images/comm-assoc-dist-1.jpg" alt="comm assoc dist 1" height="320" width="247"><br></p>
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<p>You will need:</p>
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<ul>
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<li>Coloring pencils</li>
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<li>Paper</li>
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<li>Imagination!</li>
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</ul>
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<p><br></p>
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<h2 align="left">Activity 1</h2>
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<p><b>Step 1:</b> The "Commutative Laws" say you can <b>swap numbers</b> over and still get the same answer ...</p>
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<p>... when you <b>add</b>:</p>
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<div class="center80">
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<p class="center large">a + b<b> = </b>b + a</p>
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</div>
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<h3 align="center">Example:</h3>
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<p class="center"><img src="../numbers/images/commutative-add.gif" alt="Commutative Law Addition" height="73" width="307"></p>
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<p> </p>
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<p>... or when you <b>multiply</b>:</p>
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<div class="center80">
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<p class="center large">a × b<b> = </b>b × a</p>
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</div>
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<h3 align="center">Example:</h3>
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<p class="center"><img src="../numbers/images/commutative-multiply.gif" alt="Commutative Law multiplication" height="102" width="186"></p>
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<p><br></p>
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<p><b>Step 2:</b> Does order of numbers matter when multiplying or adding?</p>
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<p><b>Step 3:</b> Using this information, try to draw a <span class="larger">super hero</span> whose super powers incorporates the fact that order doesn't matter.</p>
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<p>Your super hero could be a man, a woman, a dog, a robot, anything!</p>
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<p><b>Step 4:</b> Label your super hero <span class="larger">Commutative (Man/Woman/Dog/Whatever)</span></p>
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<p> </p>
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<p> </p>
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<h2 align="left">Activity 2:</h2>
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<p><b>Step 1:</b> The "Associative Laws" say that it doesn't matter how you group the numbers (i.e. which you calculate first) ...</p>
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<p>... when you <b>add</b>:</p>
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<div class="center80">
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<p class="center large">(a + b) + c<b> = </b>a + (b + c)</p>
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</div>
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<p class="center"><img src="../numbers/images/associative-add.gif" alt="Associative Law addition" height="76" width="415"></p>
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<p>... or when you <b>multiply</b>:</p>
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<div class="center80">
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<p class="center large">(a × b) × c<b> = </b>a × (b × c)</p>
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</div>
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<h3 align="center"><img src="../numbers/images/associative-multiply.gif" alt="Associative Law multiplication" height="114" width="278"></h3>
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<p><br></p>
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<p><b>Step 2:</b> Do the way we group numbers matter when multiplying or adding?</p>
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<p><b>Step 3:</b> Using this information, try to draw a super hero whose super powers incorporates the fact that the way we group numbers doesn't matter</p>
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<p><b>Step 4:</b> Label your super hero <span class="larger">Associative (Girl/Boy/Dog/Whatever)</span></p>
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<p> </p>
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<p><br></p>
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<h2 align="left">Activity 3</h2>
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<p><b>Step 1:</b> The "Distributive Law" says:</p>
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<div class="center80">
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<p class="center larger">a × (b + c) = a × b + a × c</p>
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</div>
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<p>This is what it lets you do:</p>
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<p class="center"><img src="../numbers/images/distributive-law.gif" alt="Distributive Law" height="105" width="341"></p>
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<p class="center">3 lots of <b>(2+4)</b> is the same as <b>3 lots of 2</b> plus <b>3 lots of 4</b></p>
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<p> </p>
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<p><b>Step 2:</b> Though they kind of look the same, what's different between Associative and Distributive. Notice that one uses multiplication and addition, but the other uses either multiplication or addition. What else can you notice</p>
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<p><b>Step 3:</b> Using this information, try to draw a super hero whose super powers are distributive</p>
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<p><b>Step 4:</b> Label your super hero <span class="larger">Distributive (Woman/Man/Hamster/Whatever)</span></p>
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<p><br></p>
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<p class="center"><img src="images/comm-assoc-dist-2.jpg" alt="comm assoc dist 2" height="240" width="320"></p>
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<p class="center">Put your illustrations on the wall!</p>
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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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<p> </p>
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