1.02 - Patterns & Instructions

Mr. Braddock

<section class="section2"><h2>Objectives</h2> <ul> <li>Follow instructions to create a construction</li> <li>Use precise mathematical language to describe a construction</li> </ul> <p>Required materials: compass, straightedge</p> <hr/> </section><section class="section2"><h2>Warm Up</h2> <p>Explain why each statement is true.</p> <ul> <li>Length of <script type="math/tex">\overline{EA}</script> is equal to the length of <script type="math/tex">\overline{EB}</script> </li> <li> <script type="math/tex">\Delta ABF</script> is equilateral</li> <li> <script type="math/tex">AB=\frac{1}{3}CD</script> </li> <li> <script type="math/tex">CB=DA</script> </li> </ul> <p>(image)</p> <hr/> </section><section class="section2"><h2>DIY Patterns</h2> <p>From the given circle & radius, build a pattern using compass and straightedge moves. After each step, write down <em>precise</em> instructions (on a separate sheet of paper) so someone else can make a perfect copy.</p> <div class="fragment"> <p>Swap instructions with a neighbor, but do not let them see your finished pattern!</p> </div><hr/> <section class="section3"><h3>Discussion</h3> <p>What was difficult about attempting someone else's pattern?</p> <div class="fragment"> <p>What would you change to make it easier?</p> </div><div class="fragment"> <p>Was there anything about the process that surprised you?</p> </div><hr/> </section></section><section class="section2"><h2>Summary</h2> <p>Compass and straightedge moves can be used to create interesting patterns. However, for the patterns to be recreated, precise instructions must be made. Labelling points and segments are helpful in creating clear directions.</p> </section>