tag:blogger.com,1999:blog-48918228925709168672024-02-22T06:41:26.740-06:00Pre-Cal 40S (Fall 2007)A window through the walls of our classroom. This is an interactive learning ecology for students and parents in my Pre-Cal Math 40S class. This ongoing dialogue is as rich as YOU make it. Visit often and post your comments freely.Darren Kuropatwahttp://www.blogger.com/profile/08462283847470560887noreply@blogger.comBlogger351125tag:blogger.com,1999:blog-4891822892570916867.post-44583896242783759442008-02-03T22:29:00.000-06:002008-02-03T22:31:29.924-06:00So Long ...<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://farm1.static.flickr.com/36/79811964_33754e8586_d.jpg"><img style="float:right; margin:0 0 10px 10px;cursor:pointer; cursor:hand;width: 320px;" src="http://farm1.static.flickr.com/36/79811964_33754e8586_d.jpg" border="0" alt="" /></a><br />Some of you are moving on to graduation, others will be back next year. I just wanted to share a few parting thoughts: you're capable of achieving great things when you put time, energy, and effort into it ... don't let the sky be your limit. ;-)<br /><br /><b><i>I'm so glad we've had this time together,<br /><br />Just to have a laugh or learn some math,<br /><br />Seems we've just got started and before you know it,<br /><br />Comes the time we have to say, "So Long!"</b></i><br /><br />So long everybody! Watch this space for pointers to new blogs for each of my classes. <br /><br />Farewell, Auf Wiedersehen, Adieu, and all those good bye things. ;-)Darren Kuropatwahttp://www.blogger.com/profile/08462283847470560887noreply@blogger.com0tag:blogger.com,1999:blog-4891822892570916867.post-84365637825760274002008-01-30T18:11:00.001-06:002008-01-30T18:17:37.709-06:00BITTERSWEET<div style="text-align: justify;"><span style="font-family: arial; color: rgb(51, 153, 153);">I'm sure everyone is thinking the same thing, "Math is FINALLY done! OH YEAH!" that's great and all but when you stop to think about it, math was really fun. I really had fun in that class, I can honestly say that it's the best class I've had ever. Math was actually fun because I had my friends and everyone else there was friendly and helpful. We worked as a class and everyone got along well. We fought in class but that was all based on math, that's how we learned. It's sweet that we don't have to worry about math now, however it's bitter because everyone made math bearable! It was like fun and math put together, didn't think that there was such a thing. Well, I'm going to miss this class the most. Good luck with you all!</span><br /></div><br />-SAMUSAnonymousnoreply@blogger.com0tag:blogger.com,1999:blog-4891822892570916867.post-11264926696063927742008-01-24T15:44:00.000-06:002008-01-24T16:33:53.704-06:00Class Survey ResultsThe exam is over and we did a little survey in class. The results are below; 27 students participated. If you'd like to add another comment on what you see here <a href="mailto:dkuropatwa@wsd1.org?subject=Pre-Cal 40S Survey&body=Hi there, I'd like to comment on the survey. Here are my thoughts:">email me</a> or leave a comment below this post.<br /><p><br />Without any further ado, here are the results of our class's survey. Please share your thoughts by commenting (anonymously if you wish) below .....<br /><p><br /><b><i>Classroom Environment</i></b><br />The questions in this section were ranked using this 5 point scale:<br /><br /><table border="3" bordercolor="green"><tr align="center"><td>Strongly Disagree</td><td>Disagree</td><td>Neutral</td><td>Agree</td><td>Strongly Agree</td></tr><tr align="center"><td>1</td><td>2</td><td>3</td><td>4</td><td>5</td></tr></table><br /><br />The <b>bold</b> numbers after each item are the average ratings given by the entire class.<br /><br />1. The teacher was enthusiastic about teaching the course. <b>4.89</b><br /><br />2. The teacher made students feel welcome in seeking help in/outside of class. <b>4.52</b><br /><br />3. My interest in math has increased because of this course. <b>3.70</b><br /><br />4. Students were encouraged to ask questions and were given meaningful answers. <b>4.74</b><br /><br />5. The teacher enhanced the class through the use of humour. <b>4.56</b><br /><br />6. Course materials were well understood and explained clearly by the teacher. <b>4.15</b><br /><br />7. Graded materials fairly represented student understanding and effort. <b>4.16</b><br />(This question was answered by 26 students.)<br /><br />8. The teacher showed a genuine interest in individual students. <b>4.19</b><br /><br />9. I have learned something that I consider valuable. <b>4.48</b><br /><br />10. The teacher normally came to class well prepared. <b>4.56</b><br /><br /><b><i>Overall Impression of the Course</i></b><br />The questions in this section were ranked using this 5 point scale:<br /><br /><table border="3" bordercolor="green"><tr align="center"><td>Very Poor</td><td>Poor</td><td>Average</td><td>Good</td><td>Very Good</td></tr><tr align="center"><td>1</td><td>2</td><td>3</td><td>4</td><td>5</td></tr></table><br /><br />1. Compared with other high school courses I have taken, I would say this course was: <b>4.30</b><br /><br />2. Compared with other high school teachers I have had, I would say this teacher is: <b>4.78</b><br /><br />3. As an overall rating, I would say this teacher is: <b>4.70</b><br /><br /><b><i>Course Characteristics</i></b><br /><br />1. Course difficulty, compared to other high school courses:<br /><br /><table border="3" bordercolor="green"><tr align="center"><td>Very Easy<br>0%</td><td>Easy<br>4%</td><td>Average<br>22%</td><td>Difficult<br>59%</td><td>Very Difficult<br>15%</td></tr></table><br /><br />2. Course workload, compared to other high school courses:<br /><br /><table border="3" bordercolor="green"><tr align="center"><td>Very Easy<br>0%</td><td>Easy<br>7%</td><td>Average<br>48%</td><td>Difficult<br>37%</td><td>Very Difficult<br>7%</td></tr></table><br /><br />3. Hours per week required outside of class:<br /><br /><table border="3" bordercolor="green"><tr align="center"><td>0 to 2<br>15%</td><td>2 to 3<br>37%</td><td>3 to 5<br>15%</td><td>5 to 7<br>26%</td><td>over 7<br>7%</td></tr></table><br /><br />4. Expected grade in the course:<br /><br /><table border="3" bordercolor="green"><tr align="center"><td>F<br>11%</td><td>D<br>15%</td><td>C<br>37%</td><td>B<br>37%</td><td>A<br>0%</td></tr></table><br /><br /><b><i>Specific Feedback</i></b><br />[<b>Ed. Note:</b> Numbers in parentheses indicate the number of students, over 1, that gave the same answer.]<br /><br />What was your best learning experience in this course? <br /><table border="3" bordercolor="green"><tr align="center"><td>Learning other things in life that involved math (3)<br />The Blog (16)<br />Workshop Classes (6)<br /><a href="http://expertvoices08.blogspot.com">Developing Expert Voices Project</a> (11)<br />the SMARTboard (5)<br />flickr assignment<br />group work (7)<br />pre-tests (6)<br />interactive work (2)<br />class discussions (4)<br />scribes (7)<br />Mr. K. (2)<br />asking questions<br />the different projects we did<br />Mr. K's speeches</td></tr></table><br /><br />What was your worst learning experience in this course?<br /><br /><table border="3" bordercolor="green"><tr align="center"><td><a href="http://expertvoices08.blogspot.com">Developing Expert Voices Project</a><br />homework (2)<br />not doing homework<br />not asking questions<br />working alone (4)<br />late getting tests back (2)<br />flickr assignment<br />group work (3)<br />doing my Developing Expert Voices Project alone<br />nothing (3)<br />pop quizzes<br />not knowing what to do (3)<br />"that I learned awesome software called SMARTboard"<br />whenever Mr. K. was absent<br />not being able to answer easy questions</td></tr></table><br /><br />What changes would you suggest to improve the way this course is taught?<br /><br /><table border="3" bordercolor="green"><tr align="center"><td>teach slower<br />teacher gets off topic and makes me lose motivation<br />teacher sometimes wordy explaining different concepts<br />bring back <a href="http://adifference.blogspot.com/2006/01/go-for-gold.html">Go For Gold</a><br />lighten the homework load<br />give tests back ASAP (4)<br />ask and solve questions consistently; not in different ways<br />more group work (2)<br />more math jokes<br />more review before the exam<br />none (4)<br />start semester with a test on previous knowledge<br />give more notes instead of just lecturing<br />bring back the "Math Dictionary" (2)<br />bring back the <a href="http://adifference.blogspot.com/2005/11/delicious-idea.html">del.icio.us box</a></td></tr></table><br /><br />Additional Student Comments<br /><br /><table border="3" bordercolor="green"><tr align="center"><td>this class was the best ever<br />the teacher answered questions even when asked 100 times<br />good use of SMARTboard technology<br />I really enjoyed this class; it was fun and not boring<br />Mr. K. was extremely enthusiastic and creative about everything</td></tr></table><br /><br /><br />It's interesting to compare the items that were considered both the worst and best learning experiences. Also, take a look at the list of worst learning experiences compared to suggestions for next year. Help me do a better job next year by commenting on what you see here ....Darren Kuropatwahttp://www.blogger.com/profile/08462283847470560887noreply@blogger.com0tag:blogger.com,1999:blog-4891822892570916867.post-46748991755768942242008-01-23T16:02:00.000-06:002008-01-23T16:39:32.172-06:00Today's Slides: January 23Here they are ...<br /><br /><center><br /><div style="width:425px;text-align:left" id="__ss_238870"><object style="margin:0px" width="425" height="355"><param name="movie" value="http://static.slideshare.net/swf/ssplayer2.swf?doc=precal-40s-slides-january-23-2008-1201125844783661-4"/><param name="allowFullScreen" value="true"/><param name="allowScriptAccess" value="always"/><embed src="http://static.slideshare.net/swf/ssplayer2.swf?doc=precal-40s-slides-january-23-2008-1201125844783661-4" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" width="425" height="355"></embed></object><div style="font-size:11px;font-family:tahoma,arial;height:26px;padding-top:2px;"><a href="http://www.slideshare.net/?src=embed"><img src="http://static.slideshare.net/swf/logo_embd.png" style="border:0px none;margin-bottom:-5px" alt="SlideShare"/></a> | <a href="http://www.slideshare.net/dkuropatwa/precal-40s-slides-january-23-2008" title="View 'Pre-Cal 40S Slides January 23, 2008' on SlideShare">View</a> | <a href="http://www.slideshare.net/upload">Upload your own</a></div></div><br /></center>Darren Kuropatwahttp://www.blogger.com/profile/08462283847470560887noreply@blogger.com0tag:blogger.com,1999:blog-4891822892570916867.post-44999335776007193402008-01-22T15:46:00.000-06:002008-01-22T15:54:40.961-06:00Today's Slides: January 21Here they are ...<br /><br /><center><br /><div style="width:425px;text-align:left" id="__ss_237609"><object style="margin:0px" width="425" height="355"><param name="movie" value="http://static.slideshare.net/swf/ssplayer2.swf?doc=precal-40s-slides-january-22-2008-1201038683151980-5"/><param name="allowFullScreen" value="true"/><param name="allowScriptAccess" value="always"/><embed src="http://static.slideshare.net/swf/ssplayer2.swf?doc=precal-40s-slides-january-22-2008-1201038683151980-5" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" width="425" height="355"></embed></object><div style="font-size:11px;font-family:tahoma,arial;height:26px;padding-top:2px;"><a href="http://www.slideshare.net/?src=embed"><img src="http://static.slideshare.net/swf/logo_embd.png" style="border:0px none;margin-bottom:-5px" alt="SlideShare"/></a> | <a href="http://www.slideshare.net/dkuropatwa/precal-40s-slides-january-22-2008" title="View 'Pre-Cal 40S Slides January 22, 2008' on SlideShare">View</a> | <a href="http://www.slideshare.net/upload">Upload your own</a></div></div><br /></center>Darren Kuropatwahttp://www.blogger.com/profile/08462283847470560887noreply@blogger.com0tag:blogger.com,1999:blog-4891822892570916867.post-54627312134215402042008-01-21T16:36:00.001-06:002008-01-21T16:40:39.187-06:00Today's Slides: January 21Here they are ...<br /><br /><center><br /><div style="width:425px;text-align:left" id="__ss_236249"><object style="margin:0px" width="425" height="355"><param name="movie" value="http://static.slideshare.net/swf/ssplayer2.swf?doc=precal-40s-slides-january-21-2008-1200954868789668-3"/><param name="allowFullScreen" value="true"/><param name="allowScriptAccess" value="always"/><embed src="http://static.slideshare.net/swf/ssplayer2.swf?doc=precal-40s-slides-january-21-2008-1200954868789668-3" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" width="425" height="355"></embed></object><div style="font-size:11px;font-family:tahoma,arial;height:26px;padding-top:2px;"><a href="http://www.slideshare.net/?src=embed"><img src="http://static.slideshare.net/swf/logo_embd.png" style="border:0px none;margin-bottom:-5px" alt="SlideShare"/></a> | <a href="http://www.slideshare.net/dkuropatwa/precal-40s-slides-january-21-2008" title="View 'Pre-Cal 40S Slides January 21, 2008' on SlideShare">View</a> | <a href="http://www.slideshare.net/upload">Upload your own</a></div></div><br /></center>Darren Kuropatwahttp://www.blogger.com/profile/08462283847470560887noreply@blogger.com0tag:blogger.com,1999:blog-4891822892570916867.post-10791234132008022632008-01-18T15:37:00.000-06:002008-01-18T16:06:18.715-06:00Today's Slides: January 18Here they are ...<br /><br /><center><br /><div style="width:425px;text-align:left" id="__ss_233420"><object style="margin:0px" width="425" height="355"><param name="movie" value="http://static.slideshare.net/swf/ssplayer2.swf?doc=precal-40s-slides-january-18-2008-1200692513896423-2"/><param name="allowFullScreen" value="true"/><param name="allowScriptAccess" value="always"/><embed src="http://static.slideshare.net/swf/ssplayer2.swf?doc=precal-40s-slides-january-18-2008-1200692513896423-2" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" width="425" height="355"></embed></object><div style="font-size:11px;font-family:tahoma,arial;height:26px;padding-top:2px;"><a href="http://www.slideshare.net/?src=embed"><img src="http://static.slideshare.net/swf/logo_embd.png" style="border:0px none;margin-bottom:-5px" alt="SlideShare"/></a> | <a href="http://www.slideshare.net/dkuropatwa/precal-40s-slides-january-18-2008" title="View 'Pre-Cal 40S Slides January 18, 2008' on SlideShare">View</a> | <a href="http://www.slideshare.net/upload">Upload your own</a></div></div><br /></center>Darren Kuropatwahttp://www.blogger.com/profile/08462283847470560887noreply@blogger.com0tag:blogger.com,1999:blog-4891822892570916867.post-78684404112190656422008-01-17T11:24:00.000-06:002008-01-17T11:40:49.717-06:00Today's Slides: January 17Here they are ...<br /><br /><center><br /><div style="width:425px;text-align:left" id="__ss_231803"><object style="margin:0px" width="425" height="355"><param name="movie" value="http://static.slideshare.net/swf/ssplayer2.swf?doc=precal-40s-slides-january-17-2008-1200591490703093-4"/><param name="allowFullScreen" value="true"/><param name="allowScriptAccess" value="always"/><embed src="http://static.slideshare.net/swf/ssplayer2.swf?doc=precal-40s-slides-january-17-2008-1200591490703093-4" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" width="425" height="355"></embed></object><div style="font-size:11px;font-family:tahoma,arial;height:26px;padding-top:2px;"><a href="http://www.slideshare.net/?src=embed"><img src="http://static.slideshare.net/swf/logo_embd.png" style="border:0px none;margin-bottom:-5px" alt="SlideShare"/></a> | <a href="http://www.slideshare.net/dkuropatwa/precal-40s-slides-january-17-2008" title="View 'Pre-Cal 40S Slides January 17, 2008' on SlideShare">View</a> | <a href="http://www.slideshare.net/upload">Upload your own</a></div></div><br /></center>Darren Kuropatwahttp://www.blogger.com/profile/08462283847470560887noreply@blogger.com0tag:blogger.com,1999:blog-4891822892570916867.post-60455422493516735852008-01-16T17:37:00.000-06:002008-01-16T17:38:26.276-06:00Did You Know?<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://3.bp.blogspot.com/_HiqPzpd3O9Y/R46Uwdp1uJI/AAAAAAAAAGE/B1kqNRvPALc/s1600-h/window.jpg"><img style="margin: 0pt 10px 10px 0pt; float: left; cursor: pointer;" src="http://3.bp.blogspot.com/_HiqPzpd3O9Y/R46Uwdp1uJI/AAAAAAAAAGE/B1kqNRvPALc/s200/window.jpg" alt="" id="BLOGGER_PHOTO_ID_5156222183700543634" border="0" /></a><br />Did you know I wrote this post last year and now I get to write it again?<br /><br />Did you know I can see your classroom from two windows?!<br /><br />My first window is your blog. I am excited by what I see and hear! I never cease to be amazed by the quality and sophistication of your scribes; you constantly achieve new heights in illustrating and annotating your scribes. More than that I am so impressed when you celebrate each others’ learning, when you are creative, and when you critically reflect upon your learning in your BOBs.<br /><br />Did you know Mr. K’s blog is my second window? I admire and respect what I see and hear here too! Did you know that Mr. K celebrates your learning on his blog? that he reflects upon what best helped you to learn and why? that he unselfishly shares all he knows with those who read his blog? that he learns from the conversations on his blog? that he writes with passion and is creative? and that he commits many random acts of kindness by honoring other teachers’ accomplishments in his posts? Did you know all he expects of you, he shares those same expectations for himself?<br /><br />Did you know that because of all that and more, Mr. K.’s blog has been nominated for “Best Education Blog” on the <a href="http://cdnba.wordpress.com/"><span style="text-decoration: underline;"><span style="font-weight: bold;">Canadian Blog Awards 2007 website</span></span></a>?<br /><br />I just happen to think that no one deserves this honor more than Mr. K.<br /><br />What about you?Anonymousnoreply@blogger.com2tag:blogger.com,1999:blog-4891822892570916867.post-64316876037273900022008-01-16T16:11:00.000-06:002008-01-16T17:37:05.873-06:00Scribe<div>Alright now in the morning we had a test on probability which I'm sure most of you did well on as it seem easy, all that review and group work payed off i guess.</div><div> </div><div>As for the afternoon class we started to introduce our new unit a bit more, Sequences.</div><p align="left"></p><div>A Sequence is an ordered list of numbers that follow a certain pattern or a rule</div><div>we learn a few <span class="blsp-spelling-corrected" id="SPELLING_ERROR_0">definitions</span> as shown on <span class="blsp-spelling-corrected" id="SPELLING_ERROR_1">today's</span> slides:</div><div></div><div><img id="BLOGGER_PHOTO_ID_5156204025737490994" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg114PQQ7crywCvb8dRI9i1AwerZChNs0MuJZjP8jsQMuobawb5_scYZZlV9DnfBxlMGleECSlE9RHs1jxuHQVDbOuGoSWQe-lhttDHQF_ppKJDBWWZndNqEgR81IGkjbtmgJanBN99z10/s400/math.JPG" border="0" /> </div><div>we work on questions such as:</div><div> </div><div>8, 14, 20, 26, 32, .......</div><div>we know by looking at this that it appears to be increasing by 6</div><div>so the next 3 values would be 38, 44, 50, but what will be the 56 value? the 116?</div><div>you could count all the way up to the 56<span class="blsp-spelling-error" id="SPELLING_ERROR_2"><span style="font-size:78%;">th</span></span> term but <span class="blsp-spelling-corrected" id="SPELLING_ERROR_3">that's</span> a lot.</div><div> </div><div>so we can create a formula for this sequence.</div><div> </div><div>So now to find a <span style="color:#009900;">Common Difference</span></div><div> </div><div>to refer to the <span style="color:#009900;">Common Difference</span> we use <span style="color:#009900;">d.</span></div><div><span style="color:#000000;"></span> </div><div>To find <span style="color:#009900;">d</span> we will need to find the value of 2 terms <span style="color:#cc0000;">t<span style="font-size:78%;">n</span></span><span style="font-size:100%;"> and <span style="color:#000099;">t</span></span><span style="font-size:78%;color:#000099;">(n-1).</span></div><div><span style="font-size:100%;color:#000000;"></span> </div><div>so <span style="color:#009900;">d</span>=<span style="color:#ff0000;">t<span style="font-size:78%;">n</span></span>-<span style="color:#000099;">t<span style="font-size:78%;">(n-1)</span></span></div><div> <span style="color:#009900;">d</span>=<span style="color:#ff0000;">t<span style="font-size:78%;">2</span></span>-<span style="color:#000099;">t<span style="font-size:78%;">1</span></span></div><div> <span style="color:#009900;">d</span>=<span style="color:#ff0000;">14</span>-<span style="color:#000099;">8</span></div><div> <span style="color:#009900;">d</span>=<span style="color:#009900;">6</span></div><div><span style="color:#009900;"></span> </div><div><span style="color:#000000;">now to create the <span class="blsp-spelling-corrected" id="SPELLING_ERROR_4">formula</span> for this Sequence.</span></div><div><span style="color:#000000;">to find the nth term in an Arithmetic Sequence. we use:</span></div><div><span style="color:#ff0000;"></span> </div><div><span style="color:#ff0000;"><span style="color:#000000;">t</span><span style="font-size:78%;">n</span></span><span style="color:#000000;">=<span style="color:#000099;">a</span>+(<span style="color:#ff0000;">n</span>-1)</span><span style="color:#009900;">d</span></div><div><span style="color:#000099;">a being the first term in this case 8</span></div><div><span style="color:#ff0000;">n is the "rank" of the nth term in the sequence which is 56 and 116.</span></div><div><span style="color:#009900;">d as we know is the <span class="blsp-spelling-corrected" id="SPELLING_ERROR_5">common</span> difference</span><span style="color:#009900;">.</span></div><div><span style="color:#009900;"></span> </div><div><span style="color:#000000;">now that we have the <span class="blsp-spelling-corrected" id="SPELLING_ERROR_6">formula</span> we can find t<span style="font-size:78%;">116</span> and t<span style="font-size:78%;">56</span></span></div><div> </div><div>t<span style="font-size:78%;">116</span>:</div><div>Solution:<br /> <span style="color:#3333ff;"> a=8<br /></span> <span style="color:#009900;">d=6</span><br /> <span style="color:#cc0000;"> n=116</span></div><div><span style="color:#000000;">t</span><span style="font-size:78%;"><span style="color:#ff0000;">116</span> </span><span style="font-size:100%;">= <span style="color:#000099;">8</span> + (<span style="color:#ff0000;">116</span>-1)(<span style="color:#009900;">6</span>)</span></div><div>t<span style="font-size:78%;">116</span> = 8 + (115)(6)</div><div>t<span style="font-size:78%;">116</span> = 8 + 690</div><div>t<span style="font-size:78%;">116</span> = 698 therefore the 116<span class="blsp-spelling-error" id="SPELLING_ERROR_7"><span style="font-size:78%;">th</span></span> term will be 698.</div><div> </div><div>t<span style="font-size:78%;">56</span>:<br />Solution:</div><div> <span style="color:#3333ff;">a=8</span></div><div> <span style="color:#009900;">d=6</span></div><div> <span style="color:#cc0000;">n=56</span> (other values have stay the same only thing different is the n term of the sequence)</div><div>t<span style="font-size:78%;"><span style="color:#ff0000;">56</span> </span>= <span style="color:#000099;">8</span> + (<span style="color:#cc0000;">56</span>-1)(<span style="color:#009900;">6</span>)<br />t<span style="font-size:78%;">56</span> = 8 + (55)(6)<br />t<span style="font-size:78%;">56 </span>= 8 + 330</div><div>t<span style="font-size:78%;">56</span> = 338 therefore the 56<span style="font-size:78%;"><span class="blsp-spelling-error" id="SPELLING_ERROR_8">th</span></span> term will be 338.</div><div><span style="color:#000000;"><span style="font-size:78%;"></span></span> </div><div> </div><div>to find the implicit/linear <span class="blsp-spelling-corrected" id="SPELLING_ERROR_9">function</span></div><div> </div><div>using: y=<span class="blsp-spelling-error" id="SPELLING_ERROR_10">mx</span>+b we can find this function</div><div>since this <span class="blsp-spelling-corrected" id="SPELLING_ERROR_11">sequence</span>(8,14,20,...) is constantly increase by 6 we now that this is a linear function</div><div>we can create the equation is we know:</div><div><span style="color:#009900;">d</span> and the y intercept</div><div>we already know <span style="color:#009900;">d</span> so lets find the<span style="color:#ff0000;"> </span><span style="color:#000099;">y-int</span></div><div><span style="color:#009900;">m=d</span></div><div><span style="color:#3333ff;">b=y-int</span></div><div><span style="color:#ff0000;">x=n</span></div><div><span style="color:#000000;">So we already know: t<span style="font-size:78%;">n</span>=<span class="blsp-spelling-error" id="SPELLING_ERROR_12">dn</span> + b</span></div><div>to find b we must find the o<span style="font-size:78%;"><span class="blsp-spelling-error" id="SPELLING_ERROR_13">th</span> </span>term to do this we know the <span class="blsp-spelling-corrected" id="SPELLING_ERROR_14">sequence</span> increase by 6 so from 8, the 1<span style="font-size:78%;">st</span> term we can find the 0<span style="font-size:78%;"><span class="blsp-spelling-error" id="SPELLING_ERROR_15">th</span></span> term</div><div>t<span style="font-size:78%;">0</span>=8-6</div><div>t<span style="font-size:78%;">0</span>=2</div><div>and there we have it t<span style="font-size:78%;">0</span>, which is the y-int is b so the equation is: </div><div> </div><div> t<span style="font-size:78%;">n</span>=6n + 2</div><div> </div><div>so to test this let use n=4 which is 26</div><div> </div><div>t<span style="font-size:78%;">4 </span>= 8 + (4-1)(6)<br />t<span style="font-size:78%;">4</span> = 8 + (3)(6)<br />t<span style="font-size:78%;">4</span> = 8 + 18</div><div>t<span style="font-size:78%;">4 </span>= 26 therefore the 4<span class="blsp-spelling-error" id="SPELLING_ERROR_16"><span style="font-size:78%;">th</span></span> term dose = 26 to our first equation.</div><div> </div><div>now is it the same for our implicit equation?</div><div>t<span style="font-size:78%;">4</span>=6(4) + 2</div><div>t<span style="font-size:78%;">4</span>=24+2</div><div>t<span style="font-size:78%;">4</span>=26 same answer with less the work.</div><div> </div><div><span class="blsp-spelling-corrected" id="SPELLING_ERROR_17">that's</span> pretty much what we went over this class, now its time for me to choose a scribe at random..............<span class="blsp-spelling-error" id="SPELLING_ERROR_18">ok</span> done and it will <span class="blsp-spelling-error" id="SPELLING_ERROR_19">beee</span>: <span style="font-size:180%;color:#000099;"><span class="blsp-spelling-error" id="SPELLING_ERROR_20">wendy</span></span></div><div> </div><div> </div>JoeShttp://www.blogger.com/profile/03079805457989651126noreply@blogger.com0tag:blogger.com,1999:blog-4891822892570916867.post-57038165565383507852008-01-16T15:55:00.000-06:002008-01-16T15:58:33.620-06:00Today's Slides: January 16Here they are ...<br /><br /><center><br /><div style="width:425px;text-align:left" id="__ss_230799"><object style="margin:0px" width="425" height="355"><param name="movie" value="http://static.slideshare.net/swf/ssplayer2.swf?doc=precal-40s-slides-january-16-2008-1200520484439915-3"/><param name="allowFullScreen" value="true"/><param name="allowScriptAccess" value="always"/><embed src="http://static.slideshare.net/swf/ssplayer2.swf?doc=precal-40s-slides-january-16-2008-1200520484439915-3" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" width="425" height="355"></embed></object><div style="font-size:11px;font-family:tahoma,arial;height:26px;padding-top:2px;"><a href="http://www.slideshare.net/?src=embed"><img src="http://static.slideshare.net/swf/logo_embd.png" style="border:0px none;margin-bottom:-5px" alt="SlideShare"/></a> | <a href="http://www.slideshare.net/dkuropatwa/precal-40s-slides-january-16-2008" title="View 'Pre-Cal 40S Slides January 16, 2008' on SlideShare">View</a> | <a href="http://www.slideshare.net/upload">Upload your own</a></div></div><br /></center>Darren Kuropatwahttp://www.blogger.com/profile/08462283847470560887noreply@blogger.com0tag:blogger.com,1999:blog-4891822892570916867.post-7820320776102205302008-01-16T09:14:00.000-06:002008-01-16T09:18:25.817-06:00BOBWell it is time again for us to BOB. This unit " probability" wasn't as tough as it was for me in past years of precal. However there were some new concepts and ways to solve questions that provided me with some difficulty. My muddiest point would be not knowing when to use the "Choose" and when to use the tree diagram. Somewhere along those lines I get a bit upset. Hopefully today I'll be able to do well on the test.Meeeelarhttp://www.blogger.com/profile/10459105016671688982noreply@blogger.com0tag:blogger.com,1999:blog-4891822892570916867.post-24257896904054597942008-01-16T09:07:00.000-06:002008-01-16T09:21:34.985-06:00Last Minute BoBVERY late Bob post and there is a perfectly good reason for this...which i have no business typing out here. Anyways on to the BOB!<br /><br />The unit was quick. Just as we were learning the stuff and you think you got it all what should happen? He pulls combinatorics out of nowhere! COMBINATORICS! I seen that and was saying to my self "What in the H - E Double Hockeysticks was going on"<br /><br />I guess the thing that gave me the most trouble was the the type of questions where we were given one of the probabilites then told to find what was the chance it was from the previous event. Like yesterdays pretest...we were told that john was late for class (or was it on time?) then asked to find what were the chances he brought his lunch. Those kind of questions were giving me quite a bit of trouble.<br /><br />For a day or so i didn't understand the mutually exculsive idea, but it was soon resolved. I hope that i can just remember for the upcoming test.Saromo, Paulohttp://www.blogger.com/profile/13242006312492912562noreply@blogger.com0tag:blogger.com,1999:blog-4891822892570916867.post-38184164595741467802008-01-16T01:46:00.000-06:002008-01-16T01:52:08.960-06:00B0Bheyyah! this been a combination of hard stuff and fun stuff. The probability that I gonna failed this test is 70% but if I study....it would be 40% anyways my muddiest part is choose formula although I understand it more every time I apply this to solve the probability.well...may we have a nice day tom.rossellehttp://www.blogger.com/profile/01557703356589217552noreply@blogger.com0tag:blogger.com,1999:blog-4891822892570916867.post-60694282352932451712008-01-16T00:05:00.001-06:002008-01-16T22:10:17.208-06:00BOB<span style="font-family:arial;">Hm okay, so probability wasn't as easy as I thought it would be. At the beginning, I had a good understanding of what probability was and was able to answer these problem solving questions. But, as we got further into the unit, the questions began to get harder. Sometime while we were learning mutually exclusive and not mutually exclusive I got confused, but we cleared it up the next day. My muddiest point would have to be when these probability questions began to have combinatorics in it =S Overall, this unit was okay .. I don't like probability as much as I liked it in the beginning heh. Goodluck to everyone.</span>10075660http://www.blogger.com/profile/13711791512784031048noreply@blogger.com0tag:blogger.com,1999:blog-4891822892570916867.post-77327866865644303362008-01-15T23:28:00.000-06:002008-01-16T02:00:19.270-06:00BOBI think probability is a difficult unit. I never understood probability that well. Drawing tree diagram is really helpful to solve some of the probabilities. Some of the questions that have to use what we learned from combinatorics . . .<br />Good luck everyone!haiyanhttp://www.blogger.com/profile/04253570568706636473noreply@blogger.com0tag:blogger.com,1999:blog-4891822892570916867.post-87995190011259839952008-01-15T23:23:00.001-06:002008-01-15T23:36:45.267-06:00BOBsigh* i found this unit easy in the begining and gets harder as it ends. The beginning part till the independant and dependant things were easy to understand. but I think when we start doing the workshop, things got a little harder. I found most of the question hard to understand for some reason and answering the questions is pretty confusing since there were so many ways to get different answer making you think if what your doing is right or wrong. Anyways, this unit was okay I guess as long as i can understand and figure out what the right thing to do is, I guess I will be okay. Sigh* I guess that's all I have to say now since i have lots of things to do still.. good luck guys!! XDRemyshirehttp://www.blogger.com/profile/16901285341808096687noreply@blogger.com0tag:blogger.com,1999:blog-4891822892570916867.post-25866748783255794762008-01-15T22:58:00.000-06:002008-01-15T23:03:54.665-06:00BOBProbability was a difficult unit. I dont know what exactly my muddiest point is but all I know is that I always get confuse what to use for every question. Each question has its own technique to answer them. Good luck everyone!SharmaineD.http://www.blogger.com/profile/09420161958753085029noreply@blogger.com0tag:blogger.com,1999:blog-4891822892570916867.post-39849107762854340062008-01-15T22:38:00.000-06:002008-01-15T22:46:17.340-06:00B.O.B.<span style="font-family:arial;">Second last BOB, hallelujah! This unit was incredibly boring, as well as confusing. I didn't enjoy one bit of it, especially how it requires you to think outside the box, definitely not my thing. Probability sucked big time for me. Although, at one point I was becoming a professional at drawing tree diagrams. I think what threw me off the most was that we began the unit BEFORE winter break, definitely a bad idea. I am probably going to fail miserably on the test. Good luck to everybody!</span>GOAThttp://www.blogger.com/profile/05448400381487833930noreply@blogger.com0tag:blogger.com,1999:blog-4891822892570916867.post-4956174073521063532008-01-15T22:35:00.000-06:002008-01-15T22:54:50.378-06:00BOBING FOR MATH<div style="text-align: justify;"><span style="color: rgb(51, 153, 153);">This unit went by pretty quick. I didn't like any of it. What I found the easiest were those question where all you have to do is draw a tree diagram then your answers are on there. For all questions you can draw tree diagrams, however theres ones where it takes a long time and there are many branches. The questions that i really didn't like were those ones where they're not mutually exclusive and the ones with the word OR in them because now we have to pull out the choose stuff and consider other things, etc. Overall, i did not enjoy this unit one bit and this will be one of the hardest tests for me. Well, good luck to all practice hard.</span><br /></div><br />-SAMUSAnonymousnoreply@blogger.com0tag:blogger.com,1999:blog-4891822892570916867.post-61679151607381054132008-01-15T21:51:00.000-06:002008-01-15T22:24:29.299-06:00Probability BOB<span style="color: rgb(51, 51, 255);"><span style="font-family: arial;"> Probability was such a short unit. When we started to talk about mutually exclusive things, I was kinda lost at first, but after a while I got it and it was all good. =) When we got into the choose formulas, that was when I started to get confused. I sometimes don't know what numbers to use. I had a lot of trouble in finding what the denominator should be. Some parts of the numerator I was able to figure out. Sometimes I wouldn't know whether to add or subtract the probabilities when it didn't have an 'and' or an 'or'. Over all, I don't think this unit was too bad. It was... so, so. Anywho... happy studying! =D</span></span>Jasminhttp://www.blogger.com/profile/03202115012690326321noreply@blogger.com0tag:blogger.com,1999:blog-4891822892570916867.post-71442052696301168672008-01-15T21:39:00.000-06:002008-01-15T21:45:24.334-06:00BOBAlright! this was quite a short unit and it was interesting. Some of the questions you find that you've got to think deeper even though it seems like a pretty straight forward answer. It's quite tricky. Over all I found this unit understandable for the most part. It's just those little things you have to watch out for when faced with a probability question. Also, another reminder, probability does involve having to use some of your combinatoric unit. That's all, I hope everyone enjoys the test tomorrow ~.oliver_796http://www.blogger.com/profile/05856731575280461678noreply@blogger.com0tag:blogger.com,1999:blog-4891822892570916867.post-60530913619955623752008-01-15T21:02:00.000-06:002008-01-15T21:10:14.977-06:00BOB time =)as usual ... mr. k starts the unit with something simple and something i actually understand and then BAM ... i have no idea what is going on. LOL. what i really needed for this unit was a lot of practice and i mean LOTS of practice. erhm. the end was really complicated for me. especially the pretest today; like question number three; i was completely stumped when mr. k explained the solution. i wished that we would've done this unit right after combinatorics because when we started mixing combinatorics with probability i almost forgot what combinatorics was. haha *sigh* anyways. i wish everyone good luck tomorrow!! =)10107063http://www.blogger.com/profile/18010590995413054687noreply@blogger.com0tag:blogger.com,1999:blog-4891822892570916867.post-70202127232721500312008-01-15T20:28:00.000-06:002008-01-15T20:40:59.870-06:00BOBThis is Alanna's BOB for the unit on probability.<br /><br />This is unit is understandable. I had expected it to be quite challenging, with experiences from the past. I have always had trouble with this unit. I do know the stuff. But getting started is what I have the most trouble with. Once I get started I know what I'm doing. At first I understood it very clear. I was positive on what I was doing...but I don't mean to sound rude but Mr. K you tend to explain too much that it gets over my head.. I start to overthink then BAM I can't grasp it anymore. Sometimes I'm able to get back on track. Another problem I have is trying to figure out what the question is asking.<br />I detest this unit.alannahttp://www.blogger.com/profile/10983051744700793178noreply@blogger.com0tag:blogger.com,1999:blog-4891822892570916867.post-3329933524412117802008-01-15T19:56:00.001-06:002008-01-16T08:24:44.250-06:00Possibly the last time we BOBIf I wasn't hallucinating, Mr. K said this would be an easy unit? Maybe I'm just mixing things up now though. Well, anyway, this unit was not easy at all. It's quite confusing besides the ones where you gotta draw that tree, that makes it a lot easier. I didn't like the questions on the pre-test at all though, didn't seem like anything we've ever done, except the last one involving "Jeff" who later on became "John". I think figuring out what to look for, what to use, and what to find, is pretty bad itself. I don't think I'm gonna do too great on this test.... not that I have on many.- - !! Ecko Montana !! - -http://www.blogger.com/profile/13009729343780665107noreply@blogger.com0