tag:blogger.com,1999:blog-31550532225827071012015-09-17T20:32:39.947-07:00Math 180Kathrynhttp://www.blogger.com/profile/04301412875277554720noreply@blogger.comBlogger42125tag:blogger.com,1999:blog-3155053222582707101.post-91043736967434840522013-10-16T19:44:00.001-07:002013-10-16T19:44:37.378-07:00Day 36- A long dayHere's a sort of day in the life on my really long day today! <br /><br />5:30- alarm clock<br />5:39- stumble out of bed<br />6:40- leave home<br />6:45- enter classroom and begin grading the paper I should have done before leaving yesterday as well as print papers to be copied and make an answer key for next week's warm up<br />7:25- inquire with secretary re: sub for tomorrow<br />7:28- realize breakfast hasn't been delivered to my classroom; find out it will be late<br />7:30- children arrive and begin working in Math 8<br />7:45- collect and count donations for our grade's donation to the March of Dimes while kids are working on integer boot camp<br />8:00- lay out procedures for tomorrow's walkathon since I'll be absent and poor sub has 5 pages of plans to read over. <br />8:10- go over homework with students<br />8:25- continue stacking cups investigation<br />9:00- planning period begins; start counting up donations and filling out paperwork to turn money in to the office; roll coins<br />9:20- turn in money<br />9:25- check mailbox<br />9:30- furiously grade more papers before a meeting<br />9:50- meeting with math team to plan upcoming unit<br />10:20- first group of Algebra students arrive<br />10:30- escort Algebra students to lunch; eat lunch<br />10:55- last bathroom break of the day, check mailbox again <br />11:00- pick up kids from lunch; teach Algebra. Today we did a warm up, checked homework (lots of questions on these literal equations), and worked in our teams to solve literal equations using task cards.<br />12:15- classes switch; repeat Algebra.<br />1:40- classes switch; French students arrive. Today we did a warm up, took a short quiz on pronouns, and used our classroom object vocabulary to ask and answer questions on paper and then with a inside-outside circle type structure.<br />2:25- school day is over, dismissal process begins<br />2:40- all students are finally dismissed <br />2:45- staff picture<br />2:55- school wide department meetings (as opposed to the grade level department meeting in the AM)<br />3:30- meeting ends, discussion ensues about tomorrow's conference<br />4:10- return to classroom to grade papers, lay out materials for sub, write up my plans on the front whiteboard (I always leave VERY specific instructions for my students so they can't tell me, "But the sub didn't tell us..."), clean off my desk, track boot camp data, prepare materials for the walkathon, etc<br />7:20- leave school<br /><br />That was a killer day. I hope this NCTM conference is worth it!<br /><br /><br />Kathrynhttp://www.blogger.com/profile/04301412875277554720noreply@blogger.com0tag:blogger.com,1999:blog-3155053222582707101.post-20564291105315360672013-10-15T20:11:00.001-07:002013-10-15T20:11:21.378-07:00Day 35- ObservationI was observed by my principal this morning doing my take on the stacking cups lesson I saw <a href="http://blog.mrmeyer.com/?p=692">here</a>. We just finished data collection today and started graphing, so I'm eager to see how the analysis piece goes tomorrow and what feedback my principal has. Kathrynhttp://www.blogger.com/profile/04301412875277554720noreply@blogger.com0tag:blogger.com,1999:blog-3155053222582707101.post-33087715345834920002013-10-14T15:19:00.002-07:002013-10-14T15:19:40.139-07:00Day 34- New StatisticsI just have to capture an unusual conversation I had today. My students completed a "Numbers About Me" project in August as a cover to their ISNs. One of my students told me today, "You know, I'm going to have to update this in January. One of my statistics will be outdated then." When I asked which one, she pointed to the drawing of her siblings. "There's going to be a new baby." That's the kind of precious thing I expect to hear in elementary school, but not in middle school. I told her to keep her cover as it was a snapshot of her life in August. <br /><br /><br />Kathrynhttp://www.blogger.com/profile/04301412875277554720noreply@blogger.com0tag:blogger.com,1999:blog-3155053222582707101.post-62217966060242449242013-10-11T13:18:00.000-07:002013-10-13T13:18:35.183-07:00Day 33- First MIRThis year, my school started a new paperwork procedure for discipline. Now, we have forms called "Minor Incident Reports" or MIRs that we fill out in triplicate for any offenses. Each form also requires a parent contact. The idea is to keep parents better informed as to any discipline issues so that they can be supportive. I had to write my first MIR today for a student who I don't teach who was acting up in the hallway. Isn't that just the way? <br /><br />Here's hoping the rest of the year continues to go as smoothly as the first 7 weeks have! Kathrynhttp://www.blogger.com/profile/04301412875277554720noreply@blogger.com0tag:blogger.com,1999:blog-3155053222582707101.post-30472874560746839282013-10-10T17:43:00.000-07:002013-10-10T17:43:28.398-07:00Day 32- Can we keep working on this?<a href="http://iisanumber180.blogspot.com/2013/10/day-28-mountain-climber.html">Mountain Climber,</a> an activity I posted about earlier this week, is seriously a gold mine for me. Yesterday, my kids were disappointed when I told them we'd already spent two days on it and we wouldn't be working on it for a third day in a row. Their faces looked like I'd cancelled Christmas. Who am I to tell kids they can't do challenging math problems? "On Thursday," I promised, "we can finish. We just need to do something slightly different today." So, the kids got back with their groups and labored their way through the final tiers of Linear Programming Mountain Climber. Rarely discouraged, they worked tirelessly to get correct answers. Some of them worked on problems over and over to find and correct mistakes. That mountain kept them working. I didn't have groups give up; they kept going and going until we ran out of time. <br /><br />Moral of the story: sketch a crude mountain, find some playing pieces, and come up with a series of problems that increase in difficulty. Watch in amazement. Kathrynhttp://www.blogger.com/profile/04301412875277554720noreply@blogger.com0tag:blogger.com,1999:blog-3155053222582707101.post-76907314625626971772013-10-09T19:51:00.001-07:002013-10-10T17:44:01.296-07:00Day 31- Subjects and verbs, oh my!<br />This week, we've started learning grammar in French class. It started off so simply, I didn't anticipate the number of problems my students would have. So far, they just need to be able to identify a subject and a verb. They're having some trouble doing that in English, so the French is interesting! <br /><br />I guess they don't mind learning grammar! <br /><img border="0" src="http://3.bp.blogspot.com/-xRxLenzFrbY/UlYU329G49I/AAAAAAAAFlA/83LTKrV2iZM/s320/IMG_0251.JPG" /><br /><br /><br />While the kids were waiting for dismissal, they asked me if I liked the color green. They pointed out that all of my dry erase markers on the ledge were green and there were lots of other green things in my room. Then, one of the girls pointed out how everything in my room is color coded (the one organizational thing I have going for me), and someone else said my room looks like a rainbow. What a polite way to point out that I am not an owner of a "pinnable" classroom! :) My kids are gems, and I wouldn't trade them for anything! Kathrynhttp://www.blogger.com/profile/04301412875277554720noreply@blogger.com0tag:blogger.com,1999:blog-3155053222582707101.post-18250820355201210322013-10-08T15:17:00.002-07:002013-10-10T17:44:01.277-07:00Day 30- Discovering slope-intercept formStudents in Math 8 graphed some functions last week by using function tables to evaluate the function for several x values and plotting the points. Today, we discovered slope is the coefficient of x and the y-intercept is represented by the constant. Tomorrow, we'll summarize these findings with a foldable. Kathrynhttp://www.blogger.com/profile/04301412875277554720noreply@blogger.com0tag:blogger.com,1999:blog-3155053222582707101.post-31282799293084439722013-10-07T20:26:00.002-07:002013-10-10T17:44:01.280-07:00Day 29- Mountain ClimberI LOVE mountain climber and so do my kids. They get competitive (which is not the point, but it happens anyway) and they get really insistent on being right. I love that this activity makes them attend to precision and has them talking about math.<br /><br />Here's a picture of the board and a <a href="http://iisanumber.blogspot.com/2012/10/problem-master-and-mountain-climber.html">link</a> to my original post on the topic. <br /><div class="separator" style="clear: both; text-align: center;"><a href="http://4.bp.blogspot.com/-hqXi5hbSlpY/UICpcsNhCMI/AAAAAAAAEIg/Kk6onUoyPMc/s1600/DSCN0462.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="http://4.bp.blogspot.com/-hqXi5hbSlpY/UICpcsNhCMI/AAAAAAAAEIg/Kk6onUoyPMc/s320/DSCN0462.JPG" width="229" /></a></div><br />Kathrynhttp://www.blogger.com/profile/04301412875277554720noreply@blogger.com0tag:blogger.com,1999:blog-3155053222582707101.post-53982101359677974552013-10-04T16:43:00.003-07:002013-10-10T17:44:01.287-07:00Day 28- Linear Programming I'm trying to talk less this year. Lead less, even. Coach more. <br /><br />Today, we spent an hour working in teams on 2 to 3 <a href="http://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&ved=0CCwQFjAA&url=http%3A%2F%2Fmail.mhrd.k12.nj.us%2F%7Ejchurchill%2FFOV1-0001691A%2FFOV1-0001691C%2FLinear%2520Programming%2520Word%2520Problems.doc%3FPlugin%3DMetro&ei=olBPUuj2Hpiu4AOpsIGIDw&usg=AFQjCNEOmIZb9clyCfcId653GoD6vC_3tw&sig2=bxJbq7RxAmVMIemJgghztg&bvm=bv.53537100,d.dmg&cad=rja">linear programming word problems</a>. I really enjoyed listening to the conversations that groups had and I tried to be as unhelpful as possible to make the students rely on themselves. They did a very good job at this. One question came up often at the beginning of their work time, but once they made it past that stumbling block, they rolled through the remaining steps and problems successfully. As with any other year, the hardest part of linear programming for students is taking the words and translating them into inequalities. <br /><br />I used my stoplight cups today for groups to signal when they needed help and they were pretty well-received. :)Kathrynhttp://www.blogger.com/profile/04301412875277554720noreply@blogger.com0tag:blogger.com,1999:blog-3155053222582707101.post-4719314105420829812013-10-03T17:26:00.004-07:002013-10-10T17:44:01.285-07:00Day 27- Homework chatToday wasn't particularly photo-worthy. The most remarkable thing today was how much time I spent going over the previous night's homework. This year, I've saved a lot of time going over homework by having students go over their work with a partner and then ask questions that they couldn't figure out with their partner. We went over every one of the six questions that I'd assigned. Every one. <br /><br />As much as that derails a lesson plan, it was a good use of our day. My kids hadn't grasped the idea that a system of linear equations has an infinite number of solutions (unless it has none). We had a long discussion around this point and one of my girls said, "I'm glad we spent so much time on this homework because last night I really didn't get how a system of inequalities could have infinitely many solutions and now I see it." OK, time well spent! Kathrynhttp://www.blogger.com/profile/04301412875277554720noreply@blogger.com0tag:blogger.com,1999:blog-3155053222582707101.post-63306842979200706742013-10-02T07:25:00.000-07:002013-10-10T17:44:01.289-07:00Day 26: Comining Like Terms and Distributive Property<div class="separator" style="clear: both; text-align: center;"><a href="http://3.bp.blogspot.com/-R_Kx6DxcDFY/UkwnWPx3dCI/AAAAAAAAFkE/Ak74euYnLAw/s1600/IMG_0248.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="http://3.bp.blogspot.com/-R_Kx6DxcDFY/UkwnWPx3dCI/AAAAAAAAFkE/Ak74euYnLAw/s320/IMG_0248.jpg" width="239" /></a></div>Thanks to <a href="http://ispeakmath.org/2013/09/25/algebraic-expressions-with-6th-grade/">Julie</a> and <a href="http://simplifyingradicals2.blogspot.com/2013/09/pennies-paper-clips-buttons-and.html">Nora</a> for this idea. My students were engaged, discussed the ideas, and really got the concept of multiplying the number outside the parentheses by the terms inside without me stating it explicitly. Kathrynhttp://www.blogger.com/profile/04301412875277554720noreply@blogger.com0tag:blogger.com,1999:blog-3155053222582707101.post-85288761195940944972013-10-01T16:37:00.004-07:002013-10-10T17:44:01.300-07:00Day 25: L'annuaire de la classeWe're learning our numbers up to 30 in French class and today I had the students interview each other to make a phone book of the class. <br /><br />I gave each student a small card with a French first name and a French phone number. I gave them different names than the French names they use in class so that they might have to practice saying, spelling, and writing unfamiliar names. Students had to ask each other for their name, how to spell the name, and what their phone number was. Then they met a new partner and recorded more in their "phone book." We spent about 15 minutes on this and it was our first extended period of time in class that I expected students to speak entirely in French. They did pretty well; I heard bits of English, but overall they tried hard not to! <br /><br />Here's an example of the cards the students used:<br /><img alt="" src="data:image/png;base64,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" />Kathrynhttp://www.blogger.com/profile/04301412875277554720noreply@blogger.com0tag:blogger.com,1999:blog-3155053222582707101.post-39712652069719837532013-09-30T14:45:00.000-07:002013-09-30T14:45:06.143-07:00Day 24: Linear Programming with K'NexWe had a little K'Nex factory churning out "quarks" and "bots" today in Advanced Algebra. I used this activity to introduce linear programming in a non-threatening way. It also turned out to be perfect because we had a modified schedule (which I'd forgotten about over the weekend), so our class periods were much shorter than usual and this took up the perfect amount of time. <br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://1.bp.blogspot.com/-umZbpuIzf0M/UknvWFwGc8I/AAAAAAAAFj0/_yhsbFg2LiQ/s1600/IMG_0247.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="239" src="http://1.bp.blogspot.com/-umZbpuIzf0M/UknvWFwGc8I/AAAAAAAAFj0/_yhsbFg2LiQ/s320/IMG_0247.jpg" width="320" /></a></div><br /><br /><br /><br />I was surprised just how few of my students had ever seen or used K'Nex before. One student asked me if I'd made a typo on the handout and had meant to write "Kleenex" instead of "K'Nex." <br />Kathrynhttp://www.blogger.com/profile/04301412875277554720noreply@blogger.com0tag:blogger.com,1999:blog-3155053222582707101.post-90290353048873118302013-09-27T17:57:00.001-07:002013-10-10T17:44:01.302-07:00Day 23- Visual PatternsLooking at <a href="http://www.visualpatterns.org/">www.visualpatterns.org</a>, I thought it was pretty simple and I worried that my students would find it too easy to continue the patterns. Boy, did I underestimate how difficult some of my student would find completing a table for a linear pattern! I'm so glad I started this exploration with some unifix cubes and pattern #2 because we had some great conversations! We'll use a few more patterns next week and use this to segue into writing function rules. <br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://4.bp.blogspot.com/-IIe6UYYzBog/UkYpIvSwNyI/AAAAAAAAFiw/4hH-TylgSzk/s1600/IMG_0237.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="239" src="http://4.bp.blogspot.com/-IIe6UYYzBog/UkYpIvSwNyI/AAAAAAAAFiw/4hH-TylgSzk/s320/IMG_0237.JPG" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-6AlxRSpP_DI/UkYpIx3ubZI/AAAAAAAAFi0/BjoF99PTwJk/s1600/IMG_0238.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="http://2.bp.blogspot.com/-6AlxRSpP_DI/UkYpIx3ubZI/AAAAAAAAFi0/BjoF99PTwJk/s320/IMG_0238.jpg" width="239" /></a></div><br />Kathrynhttp://www.blogger.com/profile/04301412875277554720noreply@blogger.com0tag:blogger.com,1999:blog-3155053222582707101.post-80504858586673391512013-09-26T17:59:00.000-07:002013-10-10T17:44:01.298-07:00Day 22- QuizzesJust a quick post to say that this was a serious boring day of teaching because my quizzes for all classes aligned and I didn't get to spend much time with the kiddos.<br /><br />The French map quiz really stumped some of my French students!Kathrynhttp://www.blogger.com/profile/04301412875277554720noreply@blogger.com0tag:blogger.com,1999:blog-3155053222582707101.post-11275140118743139202013-09-25T15:33:00.001-07:002013-10-10T17:44:01.273-07:00Day 21- Gallery Walk<div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-0egolJhQ73Q/UkNigtTKdFI/AAAAAAAAFiQ/s6PyHv6jqyA/s1600/IMG_0226.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="239" src="http://2.bp.blogspot.com/-0egolJhQ73Q/UkNigtTKdFI/AAAAAAAAFiQ/s6PyHv6jqyA/s320/IMG_0226.JPG" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://1.bp.blogspot.com/-TRvhf5zAars/UkNihl40U1I/AAAAAAAAFiY/E83SoV6qmmw/s1600/IMG_0227.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="239" src="http://1.bp.blogspot.com/-TRvhf5zAars/UkNihl40U1I/AAAAAAAAFiY/E83SoV6qmmw/s320/IMG_0227.JPG" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://3.bp.blogspot.com/-5nYwq8Hccn0/UkNihdHJ4vI/AAAAAAAAFiU/iaUwJapZV1o/s1600/IMG_0228.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="239" src="http://3.bp.blogspot.com/-5nYwq8Hccn0/UkNihdHJ4vI/AAAAAAAAFiU/iaUwJapZV1o/s320/IMG_0228.JPG" width="320" /></a></div>We made some posters for a gallery walk on systems. Each group chose a word problem to present and made up a second similar problem dubbed a "you try" for their classmates to try to solve. Their solution to the "you try" was recorded behind a hidden flap. After students completed the posters, we hung them around the room and did a gallery walk. They spent 5 minutes per poster answering the "you try" and leaving comments on post-its. <br /><br />Kathrynhttp://www.blogger.com/profile/04301412875277554720noreply@blogger.com0tag:blogger.com,1999:blog-3155053222582707101.post-24731600740766564512013-09-24T11:42:00.000-07:002013-10-10T17:44:01.279-07:00Day 20- How to find slope<div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-FqBRRDhFQHg/UkMuRpbdawI/AAAAAAAAFiA/mJ6q2f1Nd2Y/s1600/IMG_0225.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="http://2.bp.blogspot.com/-FqBRRDhFQHg/UkMuRpbdawI/AAAAAAAAFiA/mJ6q2f1Nd2Y/s320/IMG_0225.jpg" width="239" /></a></div>We worked on these slope cards today and will finish them tomorrow. The cards were a mixture of representations of slope and they had to find each one. Kathrynhttp://www.blogger.com/profile/04301412875277554720noreply@blogger.com0tag:blogger.com,1999:blog-3155053222582707101.post-49000554621031516002013-09-23T18:30:00.000-07:002013-09-25T03:20:25.479-07:00Day 19- Thanks, Santa!<div class="separator" style="clear: both; text-align: center;"><a href="http://1.bp.blogspot.com/-0ZdA58ieuxo/UkK3UQSmUlI/AAAAAAAAFhk/zg7kUnun5UI/s1600/IMG_0222.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="239" src="http://1.bp.blogspot.com/-0ZdA58ieuxo/UkK3UQSmUlI/AAAAAAAAFhk/zg7kUnun5UI/s320/IMG_0222.jpg" width="320" /></a></div><br />Sometime in the summer, I read about Redditgift's teacher gift exchange. Essentially, teachers could sign up to receive a gift from a randomly assigned donor. Teachers were asked to make a short wish list valued around $20 and they would be matched up with a donor who signed up to send a gift. <br /><br />I tried to honor the $20 limit, so I asked for colored pencils, dry erase markers, glue sticks, and card stock. I explained that my students were using interactive notebooks for the first time and that these materials would help us keep that going throughout the year. Well over half of my students are economically disadvantaged, so it's rare for supplies to be replenished mid-year.<br /><br />My "Santa" was so generous and went well beyond the suggested donation. Santa sent 12 boxes of colored pencils, 18 glue sticks, and 20 dry erase markers. According to the site, there's a second box on the way and I can't even imagine what might be in there! Thank you so much, Santa!Kathrynhttp://www.blogger.com/profile/04301412875277554720noreply@blogger.com0tag:blogger.com,1999:blog-3155053222582707101.post-82739671619316430762013-09-20T16:00:00.000-07:002013-09-24T03:34:50.055-07:00Day 18- French skitsFor anyone here just for math posts, sorry. This one's all about French class. <br /><br />We did our first skits today in French class. We've learned basic vocabulary for greetings, asking someone's name, inquiring as to how someone is, and for saying goodbye. They put this together into a skit. <br /><br />I had a semi-rough first few weeks with these kids because a) there are 27 in a beginning language class (eep!) and b) several of the boys in particular want to ask SO many questions (usually relevant) that it's incredibly easy to divert from the lesson plan for a "teachable moment." I'm new at teaching a language, so I'm not sure exactly how many of these cultural tidbits we need to discuss as soon as they're brought up! Sometimes in answering their questions, I end up giving them something to laugh about. After all, what American middle school student wouldn't snicker at the thought of air kisses on the cheeks or eating snails?<br /><br />Anyway, in the middle of last week, I basically laid out to my class in clear terms that French I is an elective. We had over 60 students apply to be in the class and 27 slots, so there are 30-some students who want to be in the class but aren't. I let them know that the course earns a high school credit and for most of these students, French I is the only high school credit they'll have prior to 9th grade. So, we have serious academic work to be done and done well. And I told them that if they didn't want to be in the class, we could have a little conversation with the guidance counselor and change their schedules so a student who truly wanted the course could be there. The whole notion of changing schedules four weeks into the year is really unlikely, but the conversation seems to have worked. I've noticed a much better work ethic the past few classes and I'm proud! Kathrynhttp://www.blogger.com/profile/04301412875277554720noreply@blogger.com0tag:blogger.com,1999:blog-3155053222582707101.post-43869831456272208042013-09-19T17:35:00.001-07:002013-10-10T17:44:01.282-07:00Day 17- In which my students discover slopeWe've been building up to this for a week. My students "discovered" how to find the slope of a line given two points.<br /><br />Back up to early last week. We used <a href="http://fawnnguyen.com/2012/05/03/20120503.aspx">Fawn's steepness worksheet</a> to start exploring slope via a discussion of steepness of staircases. Initially, a lot of my students wanted to count the number of steps. This created some bizarre conclusions like "F is steeper than E." Given the opportunity to measure, the diagonal seemed to be the length of choice. With a little prodding, a few at least started measuring the angle of elevation. I brought the class together and asked how reasonable it seemed to say that F was the steepest (since it had the longest diagonal). Most kids agreed that this didn't make sense and I asked what else they could measure. The steps and risers were suggested, and they were off again. I had to troubleshoot measuring at this point (no, there are no fifths on any customary ruler I've ever seen), and we tied this back into 7th grade ratios. I asked students how we can compare two numbers and they remembered ratios. We set up the ratios for slope and reduced each one until we could compare them. Realizing how many different denominators we had, someone suggested dividing and comparing the decimals. We did so and came up with our final ranking.<br /><br />In all of that discussion, the gem that emerged was a student's comment, "Couldn't we graph these?" Bingo! That was my in. The following day, we evaluated some functions and plotted the points. We connected the lines. I asked, "Can you tell which one is most steep? Least steep?" They chose their answers. I wondered aloud, "Wouldn't it be nice if we could compare these numerically?" They agreed. "Let's draw some steps on this line." The kids instinctively knew how to draw the slope triangles (something that's not always been super easy for my students in the past) and we were off and running in no time. We did a few examples of finding slope on graphs, they did a few themselves, and they were telling me how easy it was.<br /><br />I honestly forget how I made this next segue, so forgive the gap. I showed students a graph where the lattice points weren't marked. When I asked about finding its slope, they were a bit lost. I asked them to tell me everything they knew about the graph. They told me it was "a function, a diagonal line, in the first and fourth quadrants, and negative." Out of ideas, they stopped. I drew a line that met their criteria but wasn't the same as the given line. "Does my line work?" They told me it didn't and I prodded them to give more criteria. A student told me an ordered pair that fell on the line. I drew a line intersecting through that point. Another student suggested a second ordered pair and I redrew my line on top of the given line.<br /><br />Then we considered our criteria. We decided that it was important that we indicate the graph was a line and that it crossed through the two points we'd listed. The other criteria were redundant. I challenged them to find a way to calculate the slope of the line without counting. "How could you find out how long this part of the step is?" They decided to subtract the coordinates. "What should we do then?" Divide and simplify. <br /><br />"What if I gave you points that didn't fit so nicely on the graph paper? You wouldn't want to count all these squares, I'm sure." I tossed an ordered pair on the board, something like (40, 125) and (100, 65). They told me to subtract the y's, subtract the x's, then write them as a fraction and reduce. Enter <a href="http://www.youtube.com/watch?v=IyfpM-ruafo#">Mr. Sweeney's song</a>. The best part of this song is that Mr. Sweeney's doppelganger is my school's math specialist and the kids can't help but exclaim, "That's Mr. A!" as soon as the video starts. <br /><br /><iframe allowfullscreen="" frameborder="0" height="315" src="//www.youtube.com/embed/IyfpM-ruafo" width="420"></iframe> <br />Anyway, it was an exciting morning in my classroom and I thought I'd share. Kathrynhttp://www.blogger.com/profile/04301412875277554720noreply@blogger.com0tag:blogger.com,1999:blog-3155053222582707101.post-64754210312443936852013-09-18T16:26:00.001-07:002013-10-10T17:44:01.294-07:00Day 16- The pictures are optional, right?So, it's not surprising at all to me that I've struggled to get pictures every day. I just don't think to take pictures during the day. <br /><br />I used <a href="http://regentsprep.org/Regents/math/ALGEBRA/AE3/Pracword.htm">these problems</a> on writing and solving systems of linear equations for stations today. My classes are big, so I ran stations with half the kids doing stations and the other half doing some independent work then we traded spots halfway through the time. It worked pretty well, but it took much longer than I expected. Four minutes per problem wasn't enough. Problem 3 was definitely the trickiest for the students. Kathrynhttp://www.blogger.com/profile/04301412875277554720noreply@blogger.com0tag:blogger.com,1999:blog-3155053222582707101.post-4581554986854082682013-09-17T15:18:00.002-07:002013-10-10T17:44:01.284-07:00Day 15- Accents and punctuation marks postersThese posters are now up in my classroom to help students with their accents and punctuation in French. <br /><div style="text-align: center;"><a href="http://2.bp.blogspot.com/-p72zwsfDCUg/UjjT5vdtbaI/AAAAAAAAFhQ/n6ucqInKyPo/s1600/IMG_0213.jpg" imageanchor="1"><img border="0" src="http://2.bp.blogspot.com/-p72zwsfDCUg/UjjT5vdtbaI/AAAAAAAAFhQ/n6ucqInKyPo/s320/IMG_0213.jpg" /> </a></div><div style="text-align: left;"> Today's big excitement was in Math class, not French. We were doing a web-based assessment that identifies students' needs in math and our entire district's internet went down. Not knowing how long the outage would be, I kept my students at the computers and had them work on their notebooks. Now instead of having just a handful of kids who needed to finish, I have 3/4 of my class in need of extra time. It wasn't an amazing day, but it could have been worse!</div>Kathrynhttp://www.blogger.com/profile/04301412875277554720noreply@blogger.com0tag:blogger.com,1999:blog-3155053222582707101.post-50348034334890795552013-09-16T18:32:00.000-07:002013-09-16T18:32:44.067-07:00Day 14- Notebook Checks on the HorizonThis week, I'm starting to grade my students' Interactive Notebooks for the first time. Today, we reviewed the rubric that I gave them during the first week of school. We flipped through a student's notebook and gave it a mock grade as an example. Tomrorow through Thursday, I'll take 25-27 notebooks each day and on Friday I will take any stragglers from earlier in the week. This sign reminds students of impending notebook checks and alerts them to which pages I'll check. <br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://4.bp.blogspot.com/-DA_AUprV2LU/Ujew4ruZ9yI/AAAAAAAAFhA/iBbeZcFWzHQ/s1600/IMG_0214.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="239" src="http://4.bp.blogspot.com/-DA_AUprV2LU/Ujew4ruZ9yI/AAAAAAAAFhA/iBbeZcFWzHQ/s320/IMG_0214.JPG" width="320" /></a></div><br />Kathrynhttp://www.blogger.com/profile/04301412875277554720noreply@blogger.com0tag:blogger.com,1999:blog-3155053222582707101.post-47242014692275852692013-09-12T20:11:00.001-07:002013-09-12T20:11:24.128-07:00Day 13- Systems foldableThe students are loving the foldables. As one boy put it today, "They keep me focused." I'm enjoying them too, because I feel like I'm making choices to condense notes and hopefully make them more readable for the students. <br /><br />Here's a little booklet we made today on solving systems of equations. The students made their own, but I wanted a digital version for the future and just hadn't got it done earlier this week in time to get copies made. (We have a wonderful staff member who runs our copy room. We are expected to give a day's notice on everything we need copied, barring an instructional emergency.)<br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-I4e2jMp1DgU/UjKCK4cliuI/AAAAAAAAFgs/emG8u3TJsvs/s1600/IMG_0198.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="http://2.bp.blogspot.com/-I4e2jMp1DgU/UjKCK4cliuI/AAAAAAAAFgs/emG8u3TJsvs/s320/IMG_0198.jpg" width="239" /></a></div><br />Kathrynhttp://www.blogger.com/profile/04301412875277554720noreply@blogger.com0tag:blogger.com,1999:blog-3155053222582707101.post-64781153086005283822013-09-11T14:13:00.003-07:002013-09-16T18:33:13.125-07:00Day 12- Please leave the buildingWe're having a heat wave here in Maryland today and it's been in the mid-90s which is strange for September. We found out around 2:15 that we had to clear out the building and unplug all electronics no later than 3pm. The kids only leave at 2:40, so that made for an interesting scramble. Therefore, I don't have a picture to share today. Just darkness! <br /><br /><span><span style="background-color: black;"></span></span> <br /><div style="background-color: black;"><br /></div><div style="background-color: black;"><br /></div><div style="background-color: black;"><br /></div><div style="background-color: black;"><br /></div><div style="background-color: black;"><br /></div><span style="background-color: black;"></span><br />Kathrynhttp://www.blogger.com/profile/04301412875277554720noreply@blogger.com0