tag:blogger.com,1999:blog-57880512559384857462024-03-13T02:59:12.795-05:00AP Calculus AB (2007-08)A window through the walls of our classroom. This is an interactive learning ecology for students and parents in my AP Calculus 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.comBlogger270125tag:blogger.com,1999:blog-5788051255938485746.post-90713043407118636492008-06-26T15:30:00.000-05:002008-06-26T15:30:00.606-05:00So Long ...<img src="http://static.flickr.com/73/161775713_4ed2bb3663_m_d.jpg" align="right" hspace="8">We had our graduation exercises today. A gentle push into the world for all of you. I hope you're leaving with the keys to your future in your hand.<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 in the fall 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.com4tag:blogger.com,1999:blog-5788051255938485746.post-10535395541068781612008-06-17T09:07:00.008-05:002008-06-17T10:15:20.337-05:00Class SurveyThe exam is over and we did a little survey in class. The results are below; 7 students participated. If you'd like to add another comment on what you see here <a href="mailto:dkuropatwa@wsd1.org?subject=AP Calculus Survey June 2008&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 /><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 /><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="blue"><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>4.86</b><br /><br />2. The teacher made students feel welcome in seeking help in/outside of class. <b>4.71</b><br /><br />3. My interest in math has increased because of this course. <b>4.14</b><br /><br />4. Students were encouraged to ask questions and were given meaningful answers. <b>4.57</b><br /><br />5. The teacher enhanced the class through the use of humour. <b>4.43</b><br /><br />6. Course materials were well understood and explained clearly by the teacher. <b>4.29</b><br /><br />7. Graded materials fairly represented student understanding and effort. <b>4.29</b><br /><br />8. The teacher showed a genuine interest in individual students. <b>3.71</b><br /><br />9. I have learned something that I consider valuable. <b>4.86</b><br /><br />10. The teacher normally came to class well prepared. <b>4.43</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="blue"><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>4.57</b><br /><br />2. Compared with other high school teachers I have had, I would say this teacher is: <b>5.00</b><br /><br />3. As an overall rating, I would say this teacher is: <b>4.86</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="blue"><tr align="center"><td>Very Easy<br>0%</td><td>Easy<br>0%</td><td>Average<br>28.6%</td><td>Difficult<br>28.6%</td><td>Very Difficult<br>42.9%</td></tr></table><br /><br />2. Course workload, compared to other high school courses:<br /><br /><table border="3" bordercolor="blue"><tr align="center"><td>Very Easy<br>0%</td><td>Easy<br>14.3%</td><td>Average<br>28.6%</td><td>Difficult<br>28.6%</td><td>Very Difficult<br>28.6%</td></tr></table><br /><br />3. Hours per week required outside of class:<br /><br /><table border="3" bordercolor="blue"><tr align="center"><td>0 to 2<br>28.6%</td><td>2 to 3<br>0%</td><td>3 to 5<br>14.3%</td><td>5 to 7<br>42.9%</td><td>over 7<br>14.3%</td></tr></table><br /><br />4. Expected grade in the course:<br /><br /><table border="3" bordercolor="blue"><tr align="center"><td>F<br>0%</td><td>D<br>14.3%</td><td>C<br>0%</td><td>B<br>57.1%</td><td>A<br>28.6%</td></tr></table><br /><br /><b><i>AP Exam Preparation</i></b><br />The <b>bold</b> numbers after each item are the average ratings given by the entire class.<br /><br />How prepared were you to write this exam? <b>75.6%</b><br /><br />How much effort did you put into preparing for this exam? <b>73.1%</b><br /><br />How good a job did your teacher do preparing you for this exam? <b>90.1%</b><br /><br />Did you have enough preparation using your calculator?<br /><br /><center><table border="3" bordercolor="blue"><tr align="center"><td>Yes<br>100%</td><td>No<br>0%</td></tr></table></center><br /><br />Did you have enough preparation without using your calculator?<br /><br /><center><table border="3" bordercolor="blue"><tr align="center"><td>Yes<br>100%</td><td>No<br>0%</td></tr></table></center><br /><br />Was your teacher too hard or too easy on you?<br /><br /><center><table border="3" bordercolor="blue"><tr align="center"><td>Too Hard<br>0%</td><td>Too Easy<br>42.9%</td><td>Just Right<br>57.1%</td></tr></table></center><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 /><br /><table border="3" bordercolor="blue"><tr align="center"><td>Enthusiasm, effort, and humour by the teacher (2)<br />Workshop classes<br />Pre-Tests (3)<br /><a href="http://expertvoices08.blogspot.com">Developing Expert Voices</a> project<br />This blog<br />Everything except the Developing Expert Voices project<br />Teaching others and explaining concepts<br />Lectures<br />Exam Prep<br />Scribe posts were awesome<br />Technology<br />SMARTboard<br />Group learning</td></tr></table><br /><br />What was your worst learning experience in this course?<br /><br /><table border="3" bordercolor="blue"><tr align="center"><td><a href="http://expertvoices08.blogspot.com">Developing Expert Voices</a> project (2)<br />Falling behind due to the fast progress of other classmates<br />Not being able to do homework in class<br />The <a href="http://apcalc07.pbwiki.com">wiki solutions manual</a><br />Lectures were not visual enough<br />When substitute teachers wouldn't let us talk to each other</td></tr></table><br /><br />What changes would you suggest to improve the way this course is taught?<br /><br /><table border="3" bordercolor="blue"><tr align="center"><td>Return tests more quickly<br />Go over solutions to every test question always<br />Give regular "marks updates" so I know when I need to invest a lot or a little effort<br />Cancel the Developing Expert Voices project<br />More practice work for home posted to the blog<br />Cancel the <a href="http://apcalc07.pbwiki.com">wiki assignment</a><br />Slower explanations that hit all key points<br />Tell students how fast their Developing Expert Voices dues dates creep up on them<br />More group learning, I learned a lot in groups<br />Have a review class every couple of units</td></tr></table><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-5788051255938485746.post-79858404407431346812008-06-15T23:15:00.000-05:002008-11-18T18:01:08.634-06:00Student Voices Episode 4: Justice, Lawrence, and Richard<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://farm2.static.flickr.com/1162/1390706332_8572d1c1f8_d.jpg"><img style="margin: 0pt 0pt 10px 10px; float: right; cursor: pointer; width: 320px;" src="http://farm2.static.flickr.com/1162/1390706332_8572d1c1f8_d.jpg" alt="" border="0" /></a>First an update on this podcast: While we have received few comments on this or any of our class blogs the number of times the audio files have been downloaded is remarkable ...<br /><br /><blockquote><a href="http://adifference.blogspot.com/2008/04/student-voices-episode-1-jessie.html">Episode 1: Jessie</a> 2440 downloads<br /><br /><a href="http://adifference.blogspot.com/2008/04/student-voices-episode-2-timmathy.html">Episode 2: Tim_MATH_y</a> 1766 downloads<br /><br /><a href="http://adifference.blogspot.com/2008/05/student-voices-episode-3-chris-craig.html">Episode 3: Chris, Craig, Graeme</a> 1367 downloads</blockquote><br /><br />Thanks to all our listeners. We might get one more published during this school year but this may be the last until September. In any case feel free to let us know your thoughts about what you heard; every comment is appreciated.<br /><br />In this episode of <a href="http://adifference.blogspot.com/search/label/Student%20Voices">Student Voices</a> Justice, Lawrence, and Richard talk about how they put together <a href="http://expertvoices08.blogspot.com/2008/06/team-lrj-studios-present.html">their Developing Expert Voices project</a> and what they learned in the process: how they they best learn math, how it can best be taught, and many other incidental things like team work and organizational skills.<br /><br />They have titled their project with one of my favourite reminders to all my students: Mathematics is the Science of Patterns. If you watch any of the video content they created you'll hear several "in jokes", listen for them. Without any further ado, here is the podcast. A copy of the poster they made for their work is below.<br /><br /><center><embed src="http://www.archive.org/download/DarrenKuropatwaStudentVoices_Episode4Justice_Lawrence_andRichard/SV04JusticeLaurenceRichardPC40SW08.mp3" type="audio/mpeg" autostart="false" loop="false" bgcolor="#ecf5fd" height="74" width="144"></embed><br />(<a href="http://www.archive.org/download/DarrenKuropatwaStudentVoices_Episode4Justice_Lawrence_andRichard/SV04JusticeLaurenceRichardPC40SW08.mp3">Download File</a> 12.2Mb, 25 min. 30 sec.)<br /></center><br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjCGgGB4-e70lR7dTVyl0VHrUXmvRb9on0uXJScy2Utq7mBMSMxbICtClcDf17NfnHf79LlNYO2Gsi_6vRSKjnm_pgwUUIyqRxv5wF7b5pm89KY8CCqtI9TdDgNXMmQqQJaCnuVCa6dcwAX/s1600-h/Poster.jpg"><img style="display:block; margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjCGgGB4-e70lR7dTVyl0VHrUXmvRb9on0uXJScy2Utq7mBMSMxbICtClcDf17NfnHf79LlNYO2Gsi_6vRSKjnm_pgwUUIyqRxv5wF7b5pm89KY8CCqtI9TdDgNXMmQqQJaCnuVCa6dcwAX/s400/Poster.jpg" border="0" alt=""id="BLOGGER_PHOTO_ID_5212326026297302546" /></a><br /><br /><div align="right">Photo Credit: <a href="http://www.flickr.com/photos/zhzheka/1390706332/">Shadow singer</a> by flickr user EugeniusD80</div>Darren Kuropatwahttp://www.blogger.com/profile/08462283847470560887noreply@blogger.com0tag:blogger.com,1999:blog-5788051255938485746.post-58923437004258338452008-05-12T23:22:00.002-05:002008-05-12T23:26:22.532-05:00Student Voices Episode 3: Chris, Craig, and Graeme<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://farm2.static.flickr.com/1162/1390706332_8572d1c1f8_d.jpg"><img style="float:right; margin:0 0 10px 10px;cursor:pointer; cursor:hand;width: 320px;" src="http://farm2.static.flickr.com/1162/1390706332_8572d1c1f8_d.jpg" border="0" alt="" /></a><br />In this episode of Student Voices three Advanced Placement Calculus students, Chris, Craig, and Graeme, talk about a wiki assignment they did to prepare for the exam. Then the conversation transitions to a discussion of the many things they learned while doing their <a href="http://expertvoices08.blogspot.com">Developing Expert Voices</a> project. It ends with a challenge, the result of which will be featured in a future podcast.<br /><p><br />Let Chris, Craig, and Graeme know what you thought about the podcast by leaving a comment here on this post.<br /><p><br /><center><br /> <embed src="http://www.archive.org/download/DarrenKuropatwaStudentVoices_Episode3Chris_Craig_Graeme/SV03ChrisCraigGraemeapcalc07.mp3" width="144" height="74" type="audio/mpeg" autostart="false" loop="false" bgcolor="#ECF5FD"> </embed><br /><br><br />(<a href="http://www.archive.org/download/DarrenKuropatwaStudentVoices_Episode3Chris_Craig_Graeme/SV03ChrisCraigGraemeapcalc07.mp3">Download File</a> 31.8Mb, 26 min. 30 sec.)<br /></center><br /><p><br />The video mentioned near the end of the podcast is called <a href="http://www.youtube.com/watch?v=K2cYWfq--Nw">Daft Hands</a>. Here it is:<br /><p><br /><center><br /><object width="425" height="355"><param name="movie" value="http://www.youtube.com/v/K2cYWfq--Nw&hl=en"></param><param name="wmode" value="transparent"></param><embed src="http://www.youtube.com/v/K2cYWfq--Nw&hl=en" type="application/x-shockwave-flash" wmode="transparent" width="425" height="355"></embed></object><br /></center><br /><p><br /><div align="right">Photo Credit: <a href="http://www.flickr.com/photos/zhzheka/1390706332/">Shadow singer</a> by flickr user EugeniusD80</div>Darren Kuropatwahttp://www.blogger.com/profile/08462283847470560887noreply@blogger.com1tag:blogger.com,1999:blog-5788051255938485746.post-6239925851802174662008-05-05T13:42:00.001-05:002008-05-05T13:47:51.575-05:00Today's Slides: May 5Here they are ...<br /><br /><center><br /><div style="width:425px;text-align:left" id="__ss_389144"><object style="margin:0px" width="425" height="355"><param name="movie" value="http://static.slideshare.net/swf/ssplayer2.swf?doc=apcalc07080505-1210012961976266-8"/><param name="allowFullScreen" value="true"/><param name="allowScriptAccess" value="always"/><embed src="http://static.slideshare.net/swf/ssplayer2.swf?doc=apcalc07080505-1210012961976266-8" 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/ap-calculus-slides-may-5-2008?src=embed" title="View 'AP Calculus Slides May 5, 2008' on SlideShare">View</a> | <a href="http://www.slideshare.net/upload?src=embed">Upload your own</a></div></div><br /></center>Darren Kuropatwahttp://www.blogger.com/profile/08462283847470560887noreply@blogger.com0tag:blogger.com,1999:blog-5788051255938485746.post-72405478079757634112008-04-27T19:15:00.005-05:002008-04-27T19:50:13.784-05:00Student Voices Episode 2: Tim_MATH_y<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://farm2.static.flickr.com/1162/1390706332_8572d1c1f8_d.jpg"><img style="float:right; margin:0 0 10px 10px;cursor:pointer; cursor:hand;width: 320px;" src="http://farm2.static.flickr.com/1162/1390706332_8572d1c1f8_d.jpg" border="0" alt="" /></a><br />In this episode Timothy came back to school on Friday afternoon to talk about his week attending the miniUniversity program at the University of Winnipeg. He talks about the differences he finds between teaching and learning at high school and university and describes learning in the university classroom using a thought provoking metaphor, listen for it. Also, we have a cameo appearance by two very special people at the very end.<br /><p><br />Please feel free to leave Tim_MATH_y your comments here on this post.<br /><p><br /><center><br /> <embed src="http://ia360905.us.archive.org/1/items/DarrenKuropatwaStudentVoices_Episode2Tim_math_y/SV02TimMathYapcalc07_64kb.mp3" width="144" height="74" type="audio/mpeg" autostart="false" loop="false" bgcolor="#ECF5FD"> </embed><br /><br><br />(<a href="http://ia360905.us.archive.org/1/items/DarrenKuropatwaStudentVoices_Episode2Tim_math_y/SV02TimMathYapcalc07_64kb.mp3">Download File</a> 7.2Mb, 15 min. 3 sec.)<br /></center><br /><p><br /><div align="right">Photo Credit: <a href="http://www.flickr.com/photos/zhzheka/1390706332/">Shadow singer</a> by flickr user EugeniusD80</div>Darren Kuropatwahttp://www.blogger.com/profile/08462283847470560887noreply@blogger.com3tag:blogger.com,1999:blog-5788051255938485746.post-9702690320374674422008-04-25T15:46:00.002-05:002008-04-25T16:03:41.003-05:00Today's Slides: April 25Here they are ...<br /><br /><center><br /><div style="width:425px;text-align:left" id="__ss_372723"><object style="margin:0px" width="425" height="355"><param name="movie" value="http://static.slideshare.net/swf/ssplayer2.swf?doc=apcalc07080425-1209156548024628-8"/><param name="allowFullScreen" value="true"/><param name="allowScriptAccess" value="always"/><embed src="http://static.slideshare.net/swf/ssplayer2.swf?doc=apcalc07080425-1209156548024628-8" 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/ap-calculus-slides-april-25-2008?src=embed" title="View 'AP Calculus Slides April 25, 2008' on SlideShare">View</a> | <a href="http://www.slideshare.net/upload?src=embed">Upload your own</a></div></div><br /></center>Darren Kuropatwahttp://www.blogger.com/profile/08462283847470560887noreply@blogger.com0tag:blogger.com,1999:blog-5788051255938485746.post-18344003024664476292008-04-23T12:47:00.000-05:002008-04-23T12:48:24.331-05:00Today's Slides: April 23Here they are ...<br /><br /><center><br /><div style="width:425px;text-align:left" id="__ss_369611"><object style="margin:0px" width="425" height="355"><param name="movie" value="http://static.slideshare.net/swf/ssplayer2.swf?doc=apcalc07080423-1208972633719644-8"/><param name="allowFullScreen" value="true"/><param name="allowScriptAccess" value="always"/><embed src="http://static.slideshare.net/swf/ssplayer2.swf?doc=apcalc07080423-1208972633719644-8" 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/ap-calculus-slides-april-23-2008?src=embed" title="View 'AP Calculus Slides April 23, 2008' on SlideShare">View</a> | <a href="http://www.slideshare.net/upload?src=embed">Upload your own</a></div></div><br /></center>Darren Kuropatwahttp://www.blogger.com/profile/08462283847470560887noreply@blogger.com0tag:blogger.com,1999:blog-5788051255938485746.post-82939164025239252422008-04-23T08:39:00.002-05:002008-04-23T08:42:47.628-05:00The scribe... kindaHello there. Van scribing for Monday's class. Not much happened. Substitute teacher gave us a worksheet to hand in for Wednesday's class, and it's worth 100 marks each, 5 questions total.<br /><br />That's about it.<br /><br />Next scribe... Dino...Vanhttp://www.blogger.com/profile/07679810325423377354noreply@blogger.com0tag:blogger.com,1999:blog-5788051255938485746.post-20270549545808329632008-04-19T13:29:00.001-05:002008-11-18T18:01:08.906-06:00Student Voices Podcast Episode 1: Jessie<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgCF4EtRgDqZyHjOoqAnLJSzvzfE1y_98pS68ZOvK_j1dh5sEoTIoUVSzLTGpWPSfgcePhyr5Y1t0Eb7iYEK5erhsGUUvc9IcsQrgyhroq3st4pRihamYaRXcDqsuiZXT9aolmnza_FCann/s1600-h/SVKidsOfConversation.jpg"><img style="float:right; margin:0 0 10px 10px;cursor:pointer; cursor:hand;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgCF4EtRgDqZyHjOoqAnLJSzvzfE1y_98pS68ZOvK_j1dh5sEoTIoUVSzLTGpWPSfgcePhyr5Y1t0Eb7iYEK5erhsGUUvc9IcsQrgyhroq3st4pRihamYaRXcDqsuiZXT9aolmnza_FCann/s320/SVKidsOfConversation.jpg" border="0" alt=""id="BLOGGER_PHOTO_ID_5191022038077245570" /></a><br />I was talking to Jessie, one of my Applied Math students, earlier this week while helping her review over the lunch hour. I found her comments so compelling I asked her (and later her parents) if I could record and publish her comments so other students could hear what she had to say. I've long thought students need to hear from other students how they best learn to help them all learn.<br /><p><br />This is the first in what I hope will be a series of podcasts called <b>Student Voices</b>. I'm hoping to have one of these short conversations with a student published each week. If you'd like to volunteer to be featured in one of these just let me know.<br /><p><br />In this episode Jessie shares how she uses <a href="http://am40sw08.blogspot.com">her class blog</a> to learn and describes her personal "tipping point" from being confused to understanding Statistics very well. She also discusses the value of learning conversations and how sometimes being a "teacher" and sometimes a student helps her learn.<br /><p><br />Please feel free to leave Jessie your comments here or <a href="http://am40sw08.blogspot.com/2008/04/student-voices-podcast-episode-1-jessie.html">on this post on her class blog</a>.<br /><p><br /><center><br /> <embed src="http://www.archive.org/download/DarrenKuropatwaStudentVoices_Episode1Jessie/SV01JessieAM40SW00_64kb.mp3" width="144" height="74" type="audio/mpeg" autostart="false" loop="false" bgcolor="white"> </embed><br /><br><br />(<a href="http://www.archive.org/download/DarrenKuropatwaStudentVoices_Episode1Jessie/SV01JessieAM40SW00_64kb.mp3">Download File</a> 5.6Mb, 11 min. 40 sec.)<br /></center><br /><p><br /><div align="right">Photo Credit: <a href="http://flickr.com/photos/11739182@N03/1263985679/">Kids of conversation</a> by flickr user Kris Hoet</div>Darren Kuropatwahttp://www.blogger.com/profile/08462283847470560887noreply@blogger.com0tag:blogger.com,1999:blog-5788051255938485746.post-91935591612970587582008-04-19T13:00:00.002-05:002008-04-19T13:39:14.754-05:00The Return of the Lost Scribe... whoops<span style="font-family:trebuchet ms;">So now we are well into exam review and for good reason. (There are only 6 classes left until the exam).<br /><br /><span style="color: rgb(102, 0, 0);">On Thursday our class consisted of five accumulation problems from the AP exams of five different years.</span><br /><br /><span style="color: rgb(102, 0, 0);">We completed them in groups and then Mr. K. went over them in class. The questions were not extremely hard, but there were a few tricky parts. I believe after Mr. K. discussed them in full, we understood where we had made our mistakes.<br /><br /><span style="color: rgb(153, 51, 0);"><span style="color: rgb(0, 102, 0);">The more important part of the exercise was to notice how the same type of problem changed over the different years. <a href="http://www.slideshare.net/dkuropatwa/ap-calculus-slides-april-17-2008?src=embed">Looking at them</a>, you can see that the graphs are the most noticeable things that change. They become less familiar in behaviour and less points are actually drawn and labeled. The graphs also begin to have a lot of corners which are discrepancies in the second derivative as the are undefined. It then asks if these points are points of inflection, which are usually calculated via the second derivative. That is probably the trickiest part of these questions, but with a little understanding of how the derivatives and their graphs relate to each other, it is easy to get around.<br />The questions also change fairly drastically, as they go from just understanding how to use the graph and the given functions, to looking past the given graph and fuctions and using it to find characteristics of the parent/derivative functions and their graphs. In the later examples, they begin to ask questions about behaviour of the functions over certain intervals and even ask to draw the graph of the parent function on the axes.<br /><span style="color: rgb(0, 153, 0);">The final example (from 2007) is quite different from the others as there is no graph given, but a table of values is. The table includes two functions (ƒ and g) and their derivatives. It then asks questions about the function h(x) = ƒ(g(x)) - 6 and how it behaves over certain intervals. It also asks a new question that we have not seen yet.<br />It asks us to find the derivative of the inverse of a function ( g^-1 ). It is a rule that Mr. K. has not yet taught us, but it was explained to me as "the derivative of an inverse of a function is equal to the inverse of its derivative" basically, ∂/∂x(g^-1) = 1/g'. From there just apply it as you would any derivative and solve the question.<br /><span style="color: rgb(0, 0, 153);"><br />Finally, Mr. K. said that this last example is probably the closest example of how it will be presented on our exam, so it would be a good idea to go over this some time in the next two weeks to make sure you have this under your belt, it should be easy marks now.<br /><br /><span style="color: rgb(0, 0, 0);">That is all for my scribe post, remember to start studying "fiendishly" (if you haven't already) there are only 18 days left. O_O</span><br /><br /><span style="color: rgb(0, 0, 0);">The next scribe is <span style="font-size:180%;"><span style="color: rgb(51, 51, 255);">Van</span></span> I guess...<br /><br />Enjoy the rest of your weekends!<br /><br /></span></span></span></span></span></span></span>«Craig»http://www.blogger.com/profile/08860268378924842699noreply@blogger.com0tag:blogger.com,1999:blog-5788051255938485746.post-54060665456650247662008-04-17T13:40:00.003-05:002008-04-17T13:43:45.163-05:00Today's Slides: April 17<span style="color: rgb(255, 0, 0); font-weight: bold;font-size:150%;" >20 Days Until The Exam And Counting ...</span><br /><br />Here are the slides ...<br /><br /><center><br /><div style="width:425px;text-align:left" id="__ss_358949"><object style="margin:0px" width="425" height="355"><param name="movie" value="http://static.slideshare.net/swf/ssplayer2.swf?doc=apcalc07080417-1208457518131961-9"/><param name="allowFullScreen" value="true"/><param name="allowScriptAccess" value="always"/><embed src="http://static.slideshare.net/swf/ssplayer2.swf?doc=apcalc07080417-1208457518131961-9" 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/ap-calculus-slides-april-17-2008?src=embed" title="View 'AP Calculus Slides April 17, 2008' on SlideShare">View</a> | <a href="http://www.slideshare.net/upload?src=embed">Upload your own</a></div></div><br /></center>Darren Kuropatwahttp://www.blogger.com/profile/08462283847470560887noreply@blogger.com0tag:blogger.com,1999:blog-5788051255938485746.post-89248334366534411422008-04-15T22:42:00.013-05:002008-11-18T18:01:10.094-06:00April 15 Post<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhDyUPPbjDM8jpVo2BRh04pMPXnTSPnpMOM014cVvwAY0o_At3wrgA7Di3ZZ4EfwSZp6U4atyxObwP4hTP_eHdcbntJ5Dq_ukmSPZ5Uiis8bOhR-z6n2yLlCajYNYScRYek9zcACOk1Fzw/s1600-h/Post+%231_1.jpeg"><img id="BLOGGER_PHOTO_ID_5189702796784158082" style="CURSOR: hand" height="324" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhDyUPPbjDM8jpVo2BRh04pMPXnTSPnpMOM014cVvwAY0o_At3wrgA7Di3ZZ4EfwSZp6U4atyxObwP4hTP_eHdcbntJ5Dq_ukmSPZ5Uiis8bOhR-z6n2yLlCajYNYScRYek9zcACOk1Fzw/s400/Post+%231_1.jpeg" width="439" border="0" /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEifxifbg7MT7QHsrKW-js86aGlI1bxg-hsObTnPOkzev-OKthH2-FEFQgIhbS-1Ie98AEo674sMVyF54rhpcBf1BEMfwi-rMKttGDLZz0DuEYCHm4ph91dYngDAEI5U-y788DwR5yJtwvs/s1600-h/Post+%231_2.jpeg"><img id="BLOGGER_PHOTO_ID_5189702861208667538" style="CURSOR: hand" height="330" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEifxifbg7MT7QHsrKW-js86aGlI1bxg-hsObTnPOkzev-OKthH2-FEFQgIhbS-1Ie98AEo674sMVyF54rhpcBf1BEMfwi-rMKttGDLZz0DuEYCHm4ph91dYngDAEI5U-y788DwR5yJtwvs/s400/Post+%231_2.jpeg" width="439" border="0" /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEidgBs9Q8axximOConI-T30XkzPXUc_CGSgoZdiTPsbCl0Ikg0P77gcIgdQzyaQk6chx8EcKL9xNdP2mMEl7guYAZ47xA2lYGb5L2rrKTZjvoObUu04p53KiwU84EZu-vzWKqBXnjyEcpQ/s1600-h/Post+%231_3.jpeg"><img id="BLOGGER_PHOTO_ID_5189702925633176994" style="CURSOR: hand" height="338" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEidgBs9Q8axximOConI-T30XkzPXUc_CGSgoZdiTPsbCl0Ikg0P77gcIgdQzyaQk6chx8EcKL9xNdP2mMEl7guYAZ47xA2lYGb5L2rrKTZjvoObUu04p53KiwU84EZu-vzWKqBXnjyEcpQ/s400/Post+%231_3.jpeg" width="439" border="0" /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjlFAvJSseDBkHNCcGJJAyVXHCy4tJ_NbJwFKyRy-NGXawrJib_CdXozoHI7icWRLCDHSeWm0co86SH0o8l8HzEI8-aE8yqbI2Xk18i4MsKwsFpCBiKehKqwXTnqeJajsqOkGZvbAa-f9M/s1600-h/Post+%231_4.jpeg"><img id="BLOGGER_PHOTO_ID_5189703033007359410" style="CURSOR: hand" height="339" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjlFAvJSseDBkHNCcGJJAyVXHCy4tJ_NbJwFKyRy-NGXawrJib_CdXozoHI7icWRLCDHSeWm0co86SH0o8l8HzEI8-aE8yqbI2Xk18i4MsKwsFpCBiKehKqwXTnqeJajsqOkGZvbAa-f9M/s400/Post+%231_4.jpeg" width="440" border="0" /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgVwVqyFLV0Ra9ddlVpTTgwabMhYETUhlrk0jL90EXx2LtZ6aAsPg0yzpMYWfXEKzmuEy-3D3e-8_iIOZemgWux2EHzlUGlCurdXEZPp0NHtzKmVgJQLumPndcF_SajBUDAU5MiC34ui7w/s1600-h/Post+%231_5.jpeg"><img id="BLOGGER_PHOTO_ID_5189703471094023698" style="CURSOR: hand" height="337" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgVwVqyFLV0Ra9ddlVpTTgwabMhYETUhlrk0jL90EXx2LtZ6aAsPg0yzpMYWfXEKzmuEy-3D3e-8_iIOZemgWux2EHzlUGlCurdXEZPp0NHtzKmVgJQLumPndcF_SajBUDAU5MiC34ui7w/s400/Post+%231_5.jpeg" width="441" border="0" /></a><br /><div><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZ6tK4L2ShWyo8yTwUuKrH4e-4xSeam3m1BdOWysDciLN8WJyA5UUB3hVs71tXePEvKaWk2KbMAsfpg9ySMDydOKQWqAZkHsJ-Zu76XKOKS2RXfc33TYncZTWQKlpvzihOj7nR1x_j_q0/s1600-h/Post+%231_6.jpeg"><img id="BLOGGER_PHOTO_ID_5189703415259448834" style="WIDTH: 438px; CURSOR: hand; HEIGHT: 320px" height="312" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZ6tK4L2ShWyo8yTwUuKrH4e-4xSeam3m1BdOWysDciLN8WJyA5UUB3hVs71tXePEvKaWk2KbMAsfpg9ySMDydOKQWqAZkHsJ-Zu76XKOKS2RXfc33TYncZTWQKlpvzihOj7nR1x_j_q0/s400/Post+%231_6.jpeg" width="413" border="0" /></a><br /><br /><div><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhNugC7d3gF-GI4wf5_QbvEsuVaOyXVfsgY9xFu022MHU7phO00woUOOHOTud4rGFu-Mq6PIaGfIKL48joXbhoDCqWAWCeiLX9eNLS9HQuVU1GEArvxIe3y5Hgq2XgekNvLvr8j1UhbbT4/s1600-h/Post+%231_7.jpeg"><img id="BLOGGER_PHOTO_ID_5189703350834939378" style="CURSOR: hand" height="336" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhNugC7d3gF-GI4wf5_QbvEsuVaOyXVfsgY9xFu022MHU7phO00woUOOHOTud4rGFu-Mq6PIaGfIKL48joXbhoDCqWAWCeiLX9eNLS9HQuVU1GEArvxIe3y5Hgq2XgekNvLvr8j1UhbbT4/s400/Post+%231_7.jpeg" width="439" border="0" /></a><br /><br /><br /><div><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj5Eg6ZtnsBcn4-zL7ZYWVT_ZQz7P5pWLC16Didc9h7eecvX0tf20qfhjUEg_O0j3ygtHafZeNhKqb9ShOR8Ghc0VK2gAKXWE9GPOUnAheYf1grxUXeHkDhOK9F3AIzNzR21LzrfchL2TU/s1600-h/Post+%231_8.jpeg"><img id="BLOGGER_PHOTO_ID_5189703290705397218" style="CURSOR: hand" height="356" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj5Eg6ZtnsBcn4-zL7ZYWVT_ZQz7P5pWLC16Didc9h7eecvX0tf20qfhjUEg_O0j3ygtHafZeNhKqb9ShOR8Ghc0VK2gAKXWE9GPOUnAheYf1grxUXeHkDhOK9F3AIzNzR21LzrfchL2TU/s400/Post+%231_8.jpeg" width="441" border="0" /></a><br /><br /><br /><br /><div><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgxGHzKW6MfX7_MmK3dKBP1q7Lwg3rnIlXBAOvx8VTzIG1lVFxE29_cTDlGOpGb_rmJm7WNk7D7uCjyZektAE-vMxTlNkubmDaUAdWNcsGlYb5mbsXE7T3WwKj65t0rDG430LcL1dnGAIM/s1600-h/Post+%231_9.jpeg"><img id="BLOGGER_PHOTO_ID_5189703226280887762" style="WIDTH: 438px; CURSOR: hand; HEIGHT: 341px" height="333" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgxGHzKW6MfX7_MmK3dKBP1q7Lwg3rnIlXBAOvx8VTzIG1lVFxE29_cTDlGOpGb_rmJm7WNk7D7uCjyZektAE-vMxTlNkubmDaUAdWNcsGlYb5mbsXE7T3WwKj65t0rDG430LcL1dnGAIM/s400/Post+%231_9.jpeg" width="449" border="0" /></a><br /><div><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiGZK3qHagezTJ9YXz8Q6mD4UqFtmNyEtu5QRmli1ce0vdvc-fUMOBm9odmA_0jP4qpQf0AdO2FklUETY2W6h8SZ61ztquTOtkkUymPKl6A4G-nj_9cMK_k3DrZIB3JNWZpvey-6el3UVk/s1600-h/Post+%231_10.jpeg"><img id="BLOGGER_PHOTO_ID_5189703166151345602" style="CURSOR: hand" height="325" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiGZK3qHagezTJ9YXz8Q6mD4UqFtmNyEtu5QRmli1ce0vdvc-fUMOBm9odmA_0jP4qpQf0AdO2FklUETY2W6h8SZ61ztquTOtkkUymPKl6A4G-nj_9cMK_k3DrZIB3JNWZpvey-6el3UVk/s400/Post+%231_10.jpeg" width="438" border="0" /></a><br /><div><div><div><div> </div></div></div></div></div></div></div></div></div>etimzhttp://www.blogger.com/profile/09626175119223517919noreply@blogger.com2tag:blogger.com,1999:blog-5788051255938485746.post-73922864390550290632008-04-15T12:49:00.002-05:002008-04-15T12:55:30.897-05:00Today's Slides: April 15Here they are ...<br /><br /><center><br /><div style="width:425px;text-align:left" id="__ss_354809"><object style="margin:0px" width="425" height="355"><param name="movie" value="http://static.slideshare.net/swf/ssplayer2.swf?doc=apcalc07080415-1208281867294246-9"/><param name="allowFullScreen" value="true"/><param name="allowScriptAccess" value="always"/><embed src="http://static.slideshare.net/swf/ssplayer2.swf?doc=apcalc07080415-1208281867294246-9" 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/ap-calculus-slides-april-15-2008?src=embed" title="View 'AP Calculus Slides April 15, 2008' on SlideShare">View</a> | <a href="http://www.slideshare.net/upload?src=embed">Upload your own</a></div></div><br /></center>Darren Kuropatwahttp://www.blogger.com/profile/08462283847470560887noreply@blogger.com0tag:blogger.com,1999:blog-5788051255938485746.post-81274623450715698662008-04-12T09:24:00.002-05:002008-11-18T18:01:10.217-06:00Carpe Diem!<a href="http://apcalc07.blogspot.com/2008/04/bob.html">Craig mentioned in his BOB</a>:<br /><blockquote>Anyway, this is the last unit and from now on it's all exam review.<br />It may seem like it's far away (a little less than a month), but there are ONLY 8 MORE CLASSES!!! So the intense studying should probably begin.... NOW!</blockquote><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://4.bp.blogspot.com/_HiqPzpd3O9Y/SADGrCVZZOI/AAAAAAAAAHQ/uUa_iRIaFkc/s1600-h/poster+good+seize+the+day.jpg"><img style="display:block; margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;" src="http://4.bp.blogspot.com/_HiqPzpd3O9Y/SADGrCVZZOI/AAAAAAAAAHQ/uUa_iRIaFkc/s200/poster+good+seize+the+day.jpg" border="0" alt=""id="BLOGGER_PHOTO_ID_5188365213394101474" /></a><br />How's your hold on calculus?<br /><br /><span style="font-style:italic;"><a href="http://www.flickr.com/photos/acousticdad/164544542/">image source</a></span>Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-5788051255938485746.post-15477945577525270022008-04-10T23:58:00.002-05:002008-04-11T00:05:16.154-05:00BOBWoah! We had the test moved back two days and I still almost forgot.<br />But yes, this last unit has been okay mainly because it is just an elaboration on material we've already covered.<br />However, I believe the hardest part for me is that we started it quite a while ago. It's almost been a month since we began the unit.<br /> But, it's nothing a little studying won't fix.<br />I'm trying to think of the parts that are most challenging, but none seem to stick out. I think the place where I'll make my mistakes is on the tricky little curves Mr. K. enjoys throwing into the tests =P<br />Anyway, this is the last unit and from now on it's all exam review.<br />It may seem like it's far away (a little less than a month), but there are ONLY 8 MORE CLASSES!!! So the intense studying should probably begin.... NOW!<br /><br />Good Luck to all on the test tomorrow, and good luck to all on the upcoming exam.<br /><br />Keep On Pushing!«Craig»http://www.blogger.com/profile/08860268378924842699noreply@blogger.com0tag:blogger.com,1999:blog-5788051255938485746.post-44045468135537063152008-04-09T00:52:00.002-05:002008-04-09T01:11:16.838-05:00BOB ^ 9Oh wow, I completely forgot about bobbing. Thankfully, I had to take a picture of the blog for a presentation, and at first glance the "Blogging on Blogging" title immediately jogged my memory. I also can't believe that there aren't that many BOB's up yet, especially considering the fact that I'm posting this at 1 A.M. Well anyways, on with my final BOB of the year (=.<br /><br />It's been a crazy year crammed full of information, and this final unit was certainly no exception to working hard. This unit, <span style="color: rgb(0, 0, 153);">differential equations</span>, didn't prove too complicated since it basically solidified the connection between differentiation and integration / antidifferentiation by drawing upon all of the units we've covered so far in the year.<br /><br />The most challenging idea in this unit is probably Euler's method, though I don't think that it will be that big of a deal on the test tomorrow. The other ideas included in this unit were<span style="color: rgb(255, 102, 0);"> slope fields</span>, <span style="color: rgb(204, 0, 0);">solving differential equations</span>, <span style="color: rgb(0, 153, 0);">separating the variables </span>(which greatly aids the solving process) and <span style="color: rgb(51, 102, 255);">Newton's Law of Cooling</span>. I don't think that comprehending each idea on it's own was too difficult, though in the whole scheme of differential equations some questions (especially Mr. K questions xD) might prove troublesome. For me, this is particularly due to my lack of effort in committing myself to complete homework and consistently study the ideas in this unit.<br /><br />I hope that I won't find too much difficulty with this test, and that I have enough time to study tonight and catch up on all that missed work over the past week or two. I hope that all of you will do the same, and <span style="color: rgb(255, 0, 0);">I wish everyone good luck on the test tomorrow!</span><span style="font-style: italic;"><span style="font-style: italic;"><span style="font-style: italic;"><span style="font-style: italic;"></span></span></span></span>MrSiwWyhttp://www.blogger.com/profile/18072494079396275311noreply@blogger.com0tag:blogger.com,1999:blog-5788051255938485746.post-86726562605232585382008-04-08T21:08:00.002-05:002008-04-08T21:13:54.832-05:00Blogging on BloggingOh my, it's test time tomorrow! Well, here for another bob (throws bob post onto large stack of bobs). This time it's for the test on Differential Equations! How exciting? Well anyway, this unit, like most of the other units had its ups and downs. With regards to my muddiest point, I would have to say that I don't have a specific problem. All that I'm worried about, like most of the times is the battle against time, by trying to make everything click on the test. Thats the thing though, tests aren't as difficult. Well what I'm trying to say is, the solutions aren't as bad as we usually think, but the difficult thing is, figuring the key solution that would unlock insight to finding the final answer. Asides from the likes of that, theres also remembering to attempt to solve a question using as little time as possible (such as taking advantage of your calculator). Well, thats all i really have to say about this unit! Good luck everyone! I hope people remember to bob, cause I almost forgot =(Tim_MATH_yhttp://www.blogger.com/profile/09929458936647070771noreply@blogger.com0tag:blogger.com,1999:blog-5788051255938485746.post-11176314073540381362008-04-08T20:07:00.003-05:002008-04-08T20:16:25.118-05:00The last BOBWell, this unit was one of the small units that we had done although I still say the smaller the units the harder they are. Especially for this unit, I am still a little nervous going into this test as I still cannot wrap my head around Euler's method, it is very confusing to understand although I am still studying it. Another spot I am having a little bit of trouble is with the <span class="blsp-spelling-corrected" id="SPELLING_ERROR_0">anti differentiating</span> first-order and second-order equations although that also is a working progress which I should have figured out by <span class="blsp-spelling-corrected" id="SPELLING_ERROR_1">tomorrow</span>. <span style="color: rgb(255, 0, 0);">Well good luck everybody for </span><span style="color: rgb(255, 0, 0);" class="blsp-spelling-corrected" id="SPELLING_ERROR_2">tomorrow's</span><span style="color: rgb(255, 0, 0);"> test and good luck.</span>Dinohttp://www.blogger.com/profile/16720903626604404687noreply@blogger.com0tag:blogger.com,1999:blog-5788051255938485746.post-90867333012123101322008-04-07T22:08:00.003-05:002008-04-07T22:22:09.435-05:00HAPPY BIRTHDAY GRAEME!<div style="text-align: center;"><span style="font-weight: bold;font-family:courier new;font-size:180%;" ><span style="color: rgb(0, 0, 0);"><span style="color: rgb(255, 0, 0);">H</span><span style="color: rgb(255, 102, 0);">A</span><span style="color: rgb(255, 204, 0);">P</span><span style="color: rgb(0, 153, 0);">P</span><span style="color: rgb(51, 102, 255);">Y</span> <span style="color: rgb(0, 0, 153);">E</span><span style="color: rgb(102, 0, 204);">I</span><span style="color: rgb(255, 0, 0);">G</span><span style="color: rgb(255, 102, 0);">H</span><span style="color: rgb(255, 204, 0);">T</span><span style="color: rgb(0, 153, 0);">E</span><span style="color: rgb(51, 102, 255);">E</span><span style="color: rgb(0, 0, 153);">N</span><span style="color: rgb(102, 0, 204);">T</span><span style="color: rgb(255, 0, 0);">H</span> <span style="color: rgb(255, 102, 0);">B</span><span style="color: rgb(255, 204, 0);">I</span><span style="color: rgb(0, 153, 0);">R</span><span style="color: rgb(51, 102, 255);">T</span><span style="color: rgb(0, 0, 153);">H</span><span style="color: rgb(102, 0, 204);">D</span><span style="color: rgb(255, 0, 0);">A</span><span style="color: rgb(255, 102, 0);">Y</span><span style="color: rgb(255, 204, 0);">!<span style="color: rgb(0, 153, 0);">!</span></span><span style="color: rgb(51, 102, 255);">!</span></span></span><br /><span style="font-weight: bold;font-family:courier new;font-size:180%;" ><span style="color: rgb(0, 0, 0);"><span style="color: rgb(51, 102, 255);"></span></span></span></div><span style="font-weight: bold;font-family:courier new;font-size:180%;" ><span style="color: rgb(0, 0, 0);"><span style="color: rgb(51, 102, 255);"><br /></span></span></span><div style="text-align: center;"><span style="font-weight: bold;font-family:courier new;font-size:130%;" ><span style="color: rgb(0, 0, 0);"><span style="color: rgb(51, 102, 255);"><span style="font-family:times new roman;"><span style="color: rgb(0, 0, 0); font-style: italic;">***Craig-4th (belated)***</span></span></span></span></span><span style="font-size:130%;"><br /></span><span style="font-weight: bold;font-family:courier new;font-size:130%;" ><span style="color: rgb(0, 0, 0);"><span style="color: rgb(51, 102, 255);"><span style="font-family:times new roman;"><span style="color: rgb(0, 0, 0); font-style: italic;">***Graeme-7th***</span></span></span></span></span><span style="font-size:130%;"><br /></span><span style="font-weight: bold;font-family:courier new;font-size:130%;" ><span style="color: rgb(0, 0, 0);"><span style="color: rgb(51, 102, 255);"><span style="font-family:times new roman;"><span style="color: rgb(0, 0, 0); font-style: italic;">***Chris-13th (advanced)***</span></span></span></span></span><br /><span style="font-weight: bold;font-family:courier new;font-size:180%;" ><span style="color: rgb(0, 0, 0);"><span style="color: rgb(51, 102, 255);"><span style="font-family:times new roman;"><span style="font-size:130%;"><span style="color: rgb(0, 0, 0); font-style: italic;"></span></span></span></span></span></span></div><span style="font-weight: bold;font-family:courier new;font-size:180%;" ><span style="color: rgb(0, 0, 0);"><span style="color: rgb(51, 102, 255);"><span style="font-family:times new roman;"><span style="font-size:130%;"><span style="color: rgb(0, 0, 0); font-style: italic;"><br /></span></span></span></span></span></span><div style="text-align: center;"><span style=";font-family:courier new;font-size:100%;" ><span style="color: rgb(0, 0, 0);"><span style="color: rgb(51, 102, 255);"><span style="font-family:times new roman;"><span style="color: rgb(0, 0, 0);"><span style="font-family:arial;">Much love ! =) </span></span></span></span></span><br /><span style=";font-family:courier new;font-size:100%;" ><span style="color: rgb(0, 0, 0);"><span style="color: rgb(51, 102, 255);"><span style="font-family:times new roman;"><span style="color: rgb(0, 0, 0);"><span style="font-family:arial;">Good luck with your DEV =)<br /><br /><br />---<span style="color: rgb(0, 0, 102);">Aichelle ROCKS!</span></span></span></span></span></span></span><br /><span style=";font-family:courier new;font-size:100%;" ><span style="color: rgb(0, 0, 0);"><span style="color: rgb(51, 102, 255);"><span style="font-family:times new roman;"><span style="color: rgb(0, 0, 0);"><span style="font-family:arial;"></span></span></span></span></span></span><span style="font-weight: bold;font-family:courier new;font-size:180%;" ><span style="color: rgb(0, 0, 0);"><span style="color: rgb(51, 102, 255);"><span style="font-family:times new roman;"><span style="font-size:130%;"><span style="color: rgb(0, 0, 0); font-style: italic;"></span></span></span></span></span></span><br /><span style="font-weight: bold;font-family:courier new;font-size:180%;" ><span style="color: rgb(0, 0, 0);"><span style="color: rgb(51, 102, 255);"><span style="font-family:times new roman;"></span></span></span></span></span></div>aichelle s.http://www.blogger.com/profile/17302966674461415089noreply@blogger.com0tag:blogger.com,1999:blog-5788051255938485746.post-85955111078513006582008-04-07T13:57:00.003-05:002008-04-07T14:06:04.966-05:00Today's Slides: April 7Here they are ...<br /><br /><center><br /><div style="width:425px;text-align:left" id="__ss_340670"><object style="margin:0px" width="425" height="355"><param name="movie" value="http://static.slideshare.net/swf/ssplayer2.swf?doc=apcalc07080407-1207594018132976-8"/><param name="allowFullScreen" value="true"/><param name="allowScriptAccess" value="always"/><embed src="http://static.slideshare.net/swf/ssplayer2.swf?doc=apcalc07080407-1207594018132976-8" 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/ap-calculus-slides-april-7-2008?src=embed" title="View 'AP Calculus Slides April 7, 2008' on SlideShare">View</a> | <a href="http://www.slideshare.net/upload?src=embed">Upload your own</a></div></div><br /></center>Darren Kuropatwahttp://www.blogger.com/profile/08462283847470560887noreply@blogger.com0tag:blogger.com,1999:blog-5788051255938485746.post-87864724117632105392008-03-27T15:49:00.001-05:002008-03-27T16:01:18.952-05:00Today's Slides: March 27Here they are ...<br /><br /><center><br /><div style="width:425px;text-align:left" id="__ss_324433"><object style="margin:0px" width="425" height="355"><param name="movie" value="http://static.slideshare.net/swf/ssplayer2.swf?doc=ap-calculus-slides-march-27-2008-120665136252688-2"/><param name="allowFullScreen" value="true"/><param name="allowScriptAccess" value="always"/><embed src="http://static.slideshare.net/swf/ssplayer2.swf?doc=ap-calculus-slides-march-27-2008-120665136252688-2" 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/ap-calculus-slides-march-27-2008?src=embed" title="View 'AP Calculus Slides March 27, 2008' on SlideShare">View</a> | <a href="http://www.slideshare.net/upload?src=embed">Upload your own</a></div></div><br /></center>Darren Kuropatwahttp://www.blogger.com/profile/08462283847470560887noreply@blogger.com0tag:blogger.com,1999:blog-5788051255938485746.post-31394118238454370072008-03-25T12:42:00.001-05:002008-03-25T13:21:00.018-05:00Today's Slides: March 25Here they are ...<br /><br /><center><br /><div style="width:425px;text-align:left" id="__ss_321153"><object style="margin:0px" width="425" height="355"><param name="movie" value="http://static.slideshare.net/swf/ssplayer2.swf?doc=ap-calculus-slides-march-25-2008-1206468996189607-2"/><param name="allowFullScreen" value="true"/><param name="allowScriptAccess" value="always"/><embed src="http://static.slideshare.net/swf/ssplayer2.swf?doc=ap-calculus-slides-march-25-2008-1206468996189607-2" 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/ap-calculus-slides-march-25-2008-321153?src=embed" title="View 'AP Calculus Slides March 25, 2008' on SlideShare">View</a> | <a href="http://www.slideshare.net/upload?src=embed">Upload your own</a></div></div><br /></center>Darren Kuropatwahttp://www.blogger.com/profile/08462283847470560887noreply@blogger.com0tag:blogger.com,1999:blog-5788051255938485746.post-21483207716495818592008-03-23T20:16:00.008-05:002008-11-18T18:01:11.013-06:00SCRiBE: Last Of ContentHello everyone! I'm known as <span style="color: rgb(204, 102, 0);">Tim-math-y</span> and I'm the <span style="color: rgb(204, 102, 0);">scribe for Thursday's lessons</span>. On Thursday, our topic was: Solving Differential Equations Symbolically and Newton's Law of Cooling.<br /><br /><span style="font-weight: bold;">Introduction:</span><br /><br /><span style="color: rgb(0, 0, 102);">Solving Differential Equations Symbolically and Newton's Law of Cooling:</span><br /><br />On Thursday, we learned more about differential equations, this time using the symbolic (algebraic) approach. This topic tied into <span style="color: rgb(0, 0, 153);">Newton's Law of Cooling</span>. According to this law, <span style="color: rgb(0, 0, 153);">a hot object cools at a rate proportional to the difference between its own temperature and that of its environment.</span><br /><br />By applying this concept, we solved questions that dealt with cooling.<br /><br /><span style="font-weight: bold;">Content and Lessons:</span><br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhf4UwUjSdUmy1zYFMfwQM_Yenpn361lgxDp6_RHJk7y5Zu3MBALm9-oy-2n4OFR0hnvQAZAJPAusJ_MsOhBhir_nIQvolbWTCSg2ouxCaSVYICrpR6gpUKhZSJsVtkNaus5RdQdRB9ZsE/s1600-h/NLaw1.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhf4UwUjSdUmy1zYFMfwQM_Yenpn361lgxDp6_RHJk7y5Zu3MBALm9-oy-2n4OFR0hnvQAZAJPAusJ_MsOhBhir_nIQvolbWTCSg2ouxCaSVYICrpR6gpUKhZSJsVtkNaus5RdQdRB9ZsE/s320/NLaw1.JPG" alt="" id="BLOGGER_PHOTO_ID_5181129394923152882" border="0" /></a>First we began by <span style="color: rgb(0, 0, 153);">deconstructing the equation</span> of "<span style="color: rgb(0, 0, 153);">dy/dx = ky</span>." Mr. K mentioned in the past that normally, you are not allowed to pull apart the differential operator. However, without going through the complexities of why it is possible, we pulled it apart.<br /><br />By seperating the two variables, including both '<span style="color: rgb(0, 0, 153);">dy</span>' and '<span style="color: rgb(0, 0, 153);">dx</span>', we found a familiar term that could be <span style="color: rgb(0, 0, 153);">antidifferentiated</span>.<br /><br />Through algebraic play, we found the equation that defined the parent function of cooling.<br /><br />*Note: the variable "c" and "C" are different in value but generally both represent a <span style="color: rgb(0, 0, 153);">constant</span>.<br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjYAVzDeo_a67sDqMzX1Wiz2pxlGe1uK0VAWBj5U-VjcU0tkQvN1tlsIib_v0S-dAFPWH9gmN7N2R8I4NBTdEOYqtTxqbHFACZkgiL_rHLLziH0YrGUUK-ch9JBA6woT5qtZoeU9OftJIc/s1600-h/NL3.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjYAVzDeo_a67sDqMzX1Wiz2pxlGe1uK0VAWBj5U-VjcU0tkQvN1tlsIib_v0S-dAFPWH9gmN7N2R8I4NBTdEOYqtTxqbHFACZkgiL_rHLLziH0YrGUUK-ch9JBA6woT5qtZoeU9OftJIc/s320/NL3.JPG" alt="" id="BLOGGER_PHOTO_ID_5181132521659344402" border="0" /></a>Next we looked at an example question.<br /><ul><li>First we assigned variables, <span style="color: rgb(204, 102, 0);">F = Temperature in Degrees of F</span> and <span style="color: rgb(204, 102, 0);">t = T time in Hours</span></li><li>Second we applied the variables to "<span style="color: rgb(0, 0, 153);">dy/dx=ky</span>" to produce "<span style="color: rgb(0, 0, 153);">dF/dt=k(F-20)</span>" where 2o is the lowest temperature the object can attain in an environment</li><li>By applying the same steps to seperate 'dF' and 'dt', we antidifferentiated and worked the out an <span style="color: rgb(0, 0, 153);">equation that could be used to find 'F', the temperature, at any given time. The only unknown left is the constant that we have yet to solve.</span><br /></li></ul><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh1vudl05XC8caVpy0Ff9y9z7SqjEwYYZg1bbnlHvEPhnvxERdSuk1PRweE8sS8EkvW-jkeWEcJ9ECkANKOby2MWhS6XJ3v0iALaoR9SdoQ5m1TqjniIuz4eDynmceLYK4uwtMGFgGe9_Q/s1600-h/NL4.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh1vudl05XC8caVpy0Ff9y9z7SqjEwYYZg1bbnlHvEPhnvxERdSuk1PRweE8sS8EkvW-jkeWEcJ9ECkANKOby2MWhS6XJ3v0iALaoR9SdoQ5m1TqjniIuz4eDynmceLYK4uwtMGFgGe9_Q/s320/NL4.JPG" alt="" id="BLOGGER_PHOTO_ID_5181134995560506914" border="0" /></a>By using the information given (two pieces of data that showed us the temperature at a specific point in time) we substituted the values in and solved for the final equation that represented the temperature at any given time of this situation.<br /><br />At this point, we considerred both questions solved.<br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhlst9W044WENd46o-Qy1FVvJ0wMrYN-V3rahcYmeYAMiAC-tY5PU7Lh1Q-ugynZSBAD72y7r94PuONGV1Ssf5kLmuZ9n-ao2bx-fwf0cISG3YPs0J1FKUb7i3iN9JCBdlLqW1hq_WtqBI/s1600-h/NL2.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhlst9W044WENd46o-Qy1FVvJ0wMrYN-V3rahcYmeYAMiAC-tY5PU7Lh1Q-ugynZSBAD72y7r94PuONGV1Ssf5kLmuZ9n-ao2bx-fwf0cISG3YPs0J1FKUb7i3iN9JCBdlLqW1hq_WtqBI/s320/NL2.JPG" alt="" id="BLOGGER_PHOTO_ID_5181131817284707842" border="0" /></a>Next, we looked at another example question (Don't be overwhelmed by the length of the question as most of it is just a background story that Mr. K conjured up: The information required is located in <span style="color: rgb(0, 0, 153);">paragraph 3</span>).<br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiz0olQBt7an0L1TDngK8_AVrrXDzVAaYOjHGyIOHOC02JfDIuNDxg9Yp3J75ds6OXKs3f8qsUI5vBfHaGY6qsn6cNVyQP5vXmvE9tkwO8bdrwptzAtzn1k70PEvpL8K2ZAuWFu7z0hXa4/s1600-h/NL5.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiz0olQBt7an0L1TDngK8_AVrrXDzVAaYOjHGyIOHOC02JfDIuNDxg9Yp3J75ds6OXKs3f8qsUI5vBfHaGY6qsn6cNVyQP5vXmvE9tkwO8bdrwptzAtzn1k70PEvpL8K2ZAuWFu7z0hXa4/s320/NL5.JPG" alt="" id="BLOGGER_PHOTO_ID_5181136318410434098" border="0" /></a>By applying the same steps from the previous question, we found the solution to the problem. Again, our variable assignments were the same. The only difference is that the coldest temperature in this situation was 25 degrees. <span style="color: rgb(153, 0, 0);">We found the equation that still included the constant value of C.</span><br /><br /><span style="color: rgb(0, 102, 0);">By taking this a step further, we inputted the coordinates given (temperatures at given times) and solved for the value of C to in turn, solve for the final equation.</span><br /><br /><span style="color: rgb(0, 0, 153);">Finally, by inputting the temperature of the cola at an unknown point in time, we solved for the uknown value of 't'.<br /><br /><span style="color: rgb(0, 0, 0);"><span style="font-weight: bold;">Conlusion:</span><br /><br />We went through two problems that dealt with Newton's Law of Cooling, solving differential equations symbolically.<br /><br />******<br /><br />Homework is on the end of the slides posted in the previous post! Answer is on the following slide.<br /><br /><span style="color: rgb(102, 0, 204);">Tomorrow's Scribe is... </span><span style="font-weight: bold; color: rgb(102, 0, 204);">Craig!</span><br /><br />Happy Easter? Haha, good night.<br /></span></span>Tim_MATH_yhttp://www.blogger.com/profile/09929458936647070771noreply@blogger.com0tag:blogger.com,1999:blog-5788051255938485746.post-13484987505169986192008-03-20T12:46:00.001-05:002008-03-20T12:53:15.038-05:00Today's Slides: March 20Here they are ...<br /><br /><center><br /><div style="width:425px;text-align:left" id="__ss_315545"><object style="margin:0px" width="425" height="355"><param name="movie" value="http://static.slideshare.net/swf/ssplayer2.swf?doc=ap-calculus-slides-march-20-2008-1206035081886250-3"/><param name="allowFullScreen" value="true"/><param name="allowScriptAccess" value="always"/><embed src="http://static.slideshare.net/swf/ssplayer2.swf?doc=ap-calculus-slides-march-20-2008-1206035081886250-3" 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/ap-calculus-slides-march-20-2008?src=embed" title="View 'AP Calculus Slides March 20, 2008' on SlideShare">View</a> | <a href="http://www.slideshare.net/upload?src=embed">Upload your own</a></div></div><br /></center>Darren Kuropatwahttp://www.blogger.com/profile/08462283847470560887noreply@blogger.com0