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203 lines
7.4 KiB
HTML
203 lines
7.4 KiB
HTML
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<head>
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<meta http-equiv="content-type" content="text/html; charset=utf-8">
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<!-- #BeginEditable "doctitle" -->
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<title>Activity: Drawing Stars</title>
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<article id="content" role="main">
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<!-- #BeginEditable "Body" -->
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<h1 class="center">Activity: Drawing Stars</h1>
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<h3 align="center">We will draw stars by connecting up the end points, <br>
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and see what kind of shapes we get,</h3>
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<p> </p>
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<h3>6-Pointed Star</h3>
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<table border="0">
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<tr>
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<td>Draw a 6-pointed star:</td>
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<td><img src="images/stars-6-tri.gif" width="75" height="65" alt="star 6 points is 2 triangles" /></td>
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</tr>
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</table>
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<p>Did you notice that it is two triangles?</p>
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<p> </p>
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<table border="0">
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<tr>
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<td>Now draw it like this:</td>
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<td><img src="images/stars-6-lines.gif" width="72" height="70" alt="star 6 points is 3 lines" /></td>
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</tr>
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</table>
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<p>It is three lines!</p>
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<p> </p>
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<p>Why do 2 triangles <b>OR</b> 3 lines make a 6-pointed star?</p>
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<ul>
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<li>A triangle has three corners, so <b>2 × 3 = 6</b></li>
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<li>A line has two ends, so <b>3 × 2 = 6</b></li>
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</ul>
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<p> </p>
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<h3>7-Pointed Star</h3>
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<p>How many ways can we make a 7-pointed star?</p>
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<table border="0" align="center">
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<tr>
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<td align="center"><img src="images/stars-7-by2.gif" width="73" height="70" alt="stars 7 by 2" /><br>
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Connecting every <br>
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2nd corner</td>
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<td align="center"> </td>
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<td align="center"><img src="images/stars-7-by3.gif" width="71" height="71" alt="stars 7 by 3" /><br>
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Connecting every <br>
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3rd corner</td>
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</tr>
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</table>
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<p>I could <b>not</b> make it out of only lines or only triangles.</p>
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<p>(Well, I could draw 7 lines from the center outwards, but we are only using the end points here, not the central point).</p>
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<p>And when I started drawing I kept going around and around until I met up with the start again.</p>
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<p> </p>
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<h3>Why is 7 so different to 6?</h3>
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<p>6 can be made from other shapes, but 7 goes around and around until it joins up again.</p>
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<p>Could it be because 7 is a <a href="../prime_numbers.html">prime number</a> and 6 is a composite number?</p>
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<p>What happens when we divide 7 by 2 ... is there a remainder?</p>
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<p>What about when we divide 7 by 3?</p>
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<h2>From 5-Pointed Stars to 12-Pointed Stars</h2>
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<table width="100%" border="0">
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<tr>
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<td><p>Now you can try them yourself.</p>
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<p>Try to make stars with 5, 6, 7, 8, 9, 10, 11 and 12 points.</p>
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<p>Make as many of each type as you can. (Hint: try "skip 1 dot", "skip 2 dots", etc)</p>
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<p>Think about numbers as you make them.</p>
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<p>(You can print the image on the right to help you ... print two copies so you can try experimenting.)</p>
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<p>Have fun drawing.</p></td>
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<td align="center"><img src="images/stars-print-thumb.gif" width="175" height="200" alt="stars print thumb" /><br>
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<input type="button" onClick="printImg('images/stars-print.gif')" value="Print this as a guide" /></td>
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</tr>
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</table>
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<h2>Conclusions:</h2>
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<p>Write down what you noticed about each type of star:</p>
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<table border="1" align="center">
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<tr>
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<td height="50"> </td>
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<td height="50" align="center">How Many<br>
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Types</td>
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<td width="400" height="50" align="center">Interesting Features</td>
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</tr>
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<tr>
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<td height="50">5-Pointed Stars</td>
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<td height="50" align="center"> </td>
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<td height="50"> </td>
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</tr>
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<tr>
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<td height="50">6-Pointed Stars</td>
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<td height="50" align="center" class="large">2</td>
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<td height="50" class="larger">Can be made of 2 triangles or 3 lines</td>
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</tr>
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<tr>
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<td height="50">7-Pointed Stars</td>
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<td height="50" align="center"> </td>
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<td height="50"> </td>
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</tr>
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<tr>
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<td height="50">8-Pointed Stars</td>
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<td height="50" align="center"> </td>
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<td height="50"> </td>
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</tr>
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<tr>
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<td height="50">9-Pointed Stars</td>
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<td height="50" align="center"> </td>
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<td height="50"> </td>
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</tr>
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<tr>
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<td height="50">10-Pointed Stars</td>
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<td height="50" align="center"> </td>
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<td height="50"> </td>
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</tr>
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<tr>
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<td height="50">11-Pointed Stars</td>
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<td height="50" align="center"> </td>
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<td height="50"> </td>
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</tr>
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<tr>
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<td height="50">12-Pointed Stars</td>
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<td height="50" align="center"> </td>
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<td height="50"> </td>
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</tr>
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</table>
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<h2>Bonus: Polygons or Not?</h2>
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<p>Note: many of these stars are <a href="../geometry/polygons.html">Polygons</a> ... but not all.</p>
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<p>As an extra bonus, put the letter "P" on the stars that <b>are</b> polygons.</p>
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<p> </p>
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<div class="related">
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<a href="../prime_numbers.html">Prime Numbers</a>
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<a href="index.html">Activity Index</a>
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Copyright © 2020 MathsIsFun.com
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