#ElemMathChat Archive

Elementary math chat is a weekly math chat where participants come to discuss best practices, examine student work, explore routines for reasoning and research that guides and supports pedagogy centered on problem and student based learning.

Thursday January 31, 2019
9:00 PM EST

  • MFAnnie Jan 31 @ 9:00 PM EST
    Welcome to #ElemMathChat!
  • chrissybug24 Jan 31 @ 9:00 PM EST
    Thanks for joining #OCTM tonight... not finished chatting? Continue by using #OCTMchat... And... you might be interested in joining @NCTM chat starting NOW (9:00 EST) by searching #elemmathchat
  • MFAnnie Jan 31 @ 9:01 PM EST
    #ElemMathChat introductions
  • pearse_margie Jan 31 @ 9:02 PM EST
    Hi! Margie from PA Math Coach Woke up to 3 degrees. Yep, we had school! #elemmathchat
  • mollymccabeacp1 Jan 31 @ 9:02 PM EST
    Hello, 2nd Grade Teacher happy to be here in warm 9 degrees Alexandria, VA. We had a couple of delays...we don't do snow well in DC! #elemmathchat
  • MrsArnote Jan 31 @ 9:03 PM EST
    Amy, K teacher from MO. We saw -6 at our house Wednesday with a no school day #elemmathchat
  • RawdingMolly Jan 31 @ 9:03 PM EST
    Molly, K-5 Math Coach in Mass It was 0 degrees this morning. Yes to school. #ElemMathChat
    In reply to @MFAnnie
  • geometrywiz Jan 31 @ 9:03 PM EST
    Teri from TN. Consultant. Low temp 12. The local schools were closed in one city for high number of absences, not for weather. #ElemMathChat
  • DDibley123 Jan 31 @ 9:03 PM EST
    Dawn from MN. SpEd Math Coach. We haven't had school for four days. I don't know what the low temp was, -25-30°? That doesn't include the windchill. #elemmathchat
  • reneelynnsnyder Jan 31 @ 9:03 PM EST
    Renee Snyder, Assistant Director @Connect2TLC ... No School- but we had a fun filled day with teachers at #TLCPD Unlocking the Mysteries of Geometry in Gr 3-5 on their Snow Day! #ElemMathChat
  • MFAnnie Jan 31 @ 9:03 PM EST
    Hey #OCTMchat! Stick around and join us for #ElemMathChat. Love to have you.
    In reply to @chrissybug24, @NCTM
  • jkgibson6 Jan 31 @ 9:04 PM EST
    A0: Jennifer K-5 math specialist from cold, snowy central Illinois. Wind chill at one point was -51. No school on TWR. Back at it tomorrow although it is snowing right now. #ElemMathChat
  • MFAnnie Jan 31 @ 9:04 PM EST
    I'm Annie, sometimes K-5 math coach near Philly and around. Since I live 2.5 blocks from @pearse_margie, must have been 3 at my house, too! #ElemMathChat
  • HowardKiyuna Jan 31 @ 9:04 PM EST
    I'm Howard. I teach middle school math science at a full inclusion campus. Low might have been in the 40's at night. That's cold for me. #ElemMathChat
  • MFAnnie Jan 31 @ 9:05 PM EST
    Q1: Explore the triangles at https://t.co/4nrKWsy004 and post things that you #NoticeWonder. #ElemMathChat
  • MrsArnote Jan 31 @ 9:05 PM EST
    Amy, K teacher from MO. We saw -6 on Wednesday and no school that day #elemmathchat
  • csarahj Jan 31 @ 9:05 PM EST
    #elemmathchat A1: Sarah from Maine. -4 degrees and yes to school. We did have a two hour delay yesterday.
  • MissMath_Teach Jan 31 @ 9:05 PM EST
    Lori from Missouri K-5 math interventionist I think our lowest w wind chill was -20. Two days off so far- not looking great for tomorrow #elemmathchat
  • GoslinK123 Jan 31 @ 9:06 PM EST
    Teaching the concept of infinitely small? Here’s a nice clip to launch a discussion. #infinity #infinitelysmall #ldsb #math #elemmathchat #onted
  • Kidsmathtalk Jan 31 @ 9:06 PM EST
    Hi everyone! Desiree from MI k-5 math coach #elemmathchat
  • pearse_margie Jan 31 @ 9:07 PM EST
    Still giggling that it took us soooooo long to find that out! @MFAnnie #elemmathchat
  • geometrywiz Jan 31 @ 9:07 PM EST
    A1: I notice they are different colors. I wonder i there are some congruencies or similarities. #ElemMathChat
  • chrissybug24 Jan 31 @ 9:07 PM EST
    Hi! I'm Christina... one of the math consultants/coaches @HamiltonCoESC in Cincinnati, OH... most schools were off the last 2 days... and we're expecting snow tonight... I believe -7 was the low , but the feels like temps were CRAZY with the windchill! #elemmathchat
  • MFAnnie Jan 31 @ 9:07 PM EST
    Hey, Lynn. Great to have you, even though some people will hate your 45 degrees! Don't forget #ElemMathChat in your tweet.
    • reeveslynn3 Jan 31 @ 9:05 PM EST
      Hi , I'm Lynn Reeves , I'm a Kindergarten and First grade teacher We had a beautiful sunny day in North Carolina at 45 degrees.
      In reply to @MFAnnie
  • mrsforest Jan 31 @ 9:07 PM EST
    A1: notice: none have base on the “bottom” Wonder: are any of these equilateral, isosceles? How can I tell? #elemmathchat
  • MFAnnie Jan 31 @ 9:08 PM EST
    Hey #ElemMathChat - note that you can DRAG the triangles!
  • jkgibson6 Jan 31 @ 9:08 PM EST
    A1: I notice that there are 12 vertices and 4 triangles. Each is a different color. I notice that each one appears to be a different type. I wonder if they are. I wonder #wodb. #ElemMathChat
  • DDibley123 Jan 31 @ 9:08 PM EST
    Same here #elemmathchat
    In reply to @geometrywiz
  • Kidsmathtalk Jan 31 @ 9:08 PM EST
    For those who are interested, I'm forming the next online book study now. Starts Fall 2019 https://t.co/3IbcFD9hAk #OCTMchat #elemMathchat
  • MissMath_Teach Jan 31 @ 9:09 PM EST
    We keep getting snow too! Couldn’t manage the school parking lots w the super low temps. Freezing rain forecasted for tomorrow morning. Ugh #ElemMathChat
    In reply to @jkgibson6
  • MFAnnie Jan 31 @ 9:09 PM EST
    Hey #ElemMathChat! Drag!
  • MFAnnie Jan 31 @ 9:10 PM EST
    Q1 Repeat: Explore the triangles at https://t.co/4nrKWsgoBu and post things that you #NoticeWonder. #ElemMathChat
  • csarahj Jan 31 @ 9:10 PM EST
    #elemmathchat A1: I notice the triangles are different types of triangles. I think maybe one is equilateral and one looks like a right triangle, maybe one is isosceles and one is scalene? I wonder if I am right about this. I wonder what the lengths of the sides are?
  • mrsforest Jan 31 @ 9:11 PM EST
    Oh, wait, whaaaaattt???!!! #elemmathchat. More noticing and wonderings now!!! How difficult to make them all congruent? Can I make any of them equilateral or isosceles by just dragging 1 point? Hmmm... 🤔
  • kathybordone Jan 31 @ 9:11 PM EST
    Kathy, K-5 Math Coach, Hudson Valley, NY. Woke up to -4* outside and 43* inside, uh-oh! 2 hour delay and all is well now! #elemmathchat
    In reply to @MFAnnie
  • RawdingMolly Jan 31 @ 9:11 PM EST
    After dragging the vertices, now I'm noticing I can make the triangles look similar - or really different. I wonder what other triangles people are making. #ElemMathChat
    In reply to @MFAnnie
  • mollymccabeacp1 Jan 31 @ 9:11 PM EST
    A1 Now, thanks to Annie, I notice that I can drag the triangles and change the angles. Very cool! I wonder how I can use this tool with my students!? #elemmathchat
  • DDibley123 Jan 31 @ 9:11 PM EST
    If I don't respond, it's because I'm playing with the triangles. #elemmathchat
    In reply to @MFAnnie
  • MFAnnie Jan 31 @ 9:11 PM EST
    Oooh, say more about that, Molly. #ElemMathChat
    In reply to @RawdingMolly
  • atkauffman Jan 31 @ 9:12 PM EST
    A1: I noticed that the red triangle allows for two points to shift, the green one shifts at one vertex, purple is always a right triangle, and blue could be either Wonders: how is this coded? Why do the diff. triangles have different set vertices? #elemmathchat
  • MFAnnie Jan 31 @ 9:12 PM EST
    Report back, Annie! Can't wait to hear what you find out. #ElemMathChat
    In reply to @mrsforest
  • MissMath_Teach Jan 31 @ 9:12 PM EST
    A1 I notice that I can’t make the green & purple ones look exactly the same #elemmathchat
  • MFAnnie Jan 31 @ 9:12 PM EST
    It was a calculated risk on my part, for sure! But at least you're doing math, so I'm cool with it. #ElemMathChat
    In reply to @DDibley123
  • HowardKiyuna Jan 31 @ 9:12 PM EST
    Hmm. I noticed I needed more vowels. Not sure what a DEAF CHIB is... Sorry, I'm still wamin up the brain. #ElemMathChat
  • reneelynnsnyder Jan 31 @ 9:13 PM EST
    A1: I notice there are 4 triangles, I notice some are of different orientation. I wonder what the relationship is btwn the triangles, side lengths/angles. I also wonder how the red and green are related; blue and purple. #ElemMathChat
  • pearse_margie Jan 31 @ 9:13 PM EST
    A1. I notice how much fun it was to play with the green equilateral triangle and the purple right triangle. #elemmathchat
  • MissMath_Teach Jan 31 @ 9:13 PM EST
    Doesn’t it feel like everyone on twitter probably lives hundreds of miles away? #ElemMathChat
    In reply to @pearse_margie, @MFAnnie
  • atkauffman Jan 31 @ 9:13 PM EST
    I woke up to -26 F (new record) and windchill of -50. Pumped to learn from you all #elemmathchat
    In reply to @kathybordone, @MFAnnie
  • csarahj Jan 31 @ 9:13 PM EST
    I notice that the green triangle gets big fast. I wonder if I can fit three of the triangles inside the fourth triangle. #ElemmathChat
  • RawdingMolly Jan 31 @ 9:13 PM EST
    I'm making some pretty large triangles - but I'm noticing that the green triangle stays as equilateral no matter what size I make it. The blue triangle is the only one (I think) where the corners can be moved and it does NOT effect the other points. #ElemMathChat
    In reply to @MFAnnie
  • reneelynnsnyder Jan 31 @ 9:13 PM EST
    I just tried this!!! I noticed the same thing #ElemMathChat
    In reply to @MissMath_Teach
  • MFAnnie Jan 31 @ 9:14 PM EST
    Say more about the "shift", Andrew. I'm curious what exactly you mean (and I bet others are, too). #ElemMathChat
    In reply to @atkauffman
  • RawdingMolly Jan 31 @ 9:14 PM EST
    and I'm noticing the purple one keeps the right angle no matter how I move around the points. #ElemMathChat
    In reply to @MFAnnie
  • MissMath_Teach Jan 31 @ 9:14 PM EST
    #ElemMathChat
    In reply to @reeveslynn3, @MFAnnie
  • DDibley123 Jan 31 @ 9:14 PM EST
    Why are they more fun that the other two? #elemmathchat
    In reply to @pearse_margie
  • MFAnnie Jan 31 @ 9:15 PM EST
    Next up: Always, Sometimes, Never. #ElemMathChat
  • csarahj Jan 31 @ 9:15 PM EST
  • jkgibson6 Jan 31 @ 9:15 PM EST
    I notice that triangle GHI and triangle JKL are not very flexible, so more difficult to make them all congruent #ElemMathChat
  • csarahj Jan 31 @ 9:15 PM EST
    I notice I really enjoy playing with triangles. I wonder if I will ever go back to the chat. #ElemmathChat
  • MissMath_Teach Jan 31 @ 9:15 PM EST
    Are they really a triangle if the base isn’t on the bottom? 😉 #ElemMathChat
    In reply to @mrsforest
  • MFAnnie Jan 31 @ 9:16 PM EST
    Q2: Red Triangle #ElemMathChat
  • JacquiLehmkuhl Jan 31 @ 9:16 PM EST
    Jacqui Lehmkuhl, High school math teacher, Have I told you how much I love getting ideas from this chat? I sometimes feel my struggling mathletes just need time to play, explore, and enjoy the math. Thank you for the ideas. #elemmathchat
  • MarieMcMB Jan 31 @ 9:16 PM EST
    A1: I notice that the blue and purple are similar and the red and green triangles are similar too. I wonder if I can drag vertices to make them congruent. #ElemMathChat
  • geometrywiz Jan 31 @ 9:16 PM EST
    I notice I can move them around on the screen and can try to line up vertices, but cant seemto line them up. #ElemMathChat
  • MFAnnie Jan 31 @ 9:17 PM EST
    Well, I knew @pearse_margie was in SE Penna like me, so not hundreds in that case... I just didn't know she was so close that we could walk to have doggie playdates! #ElemMathChat.
    In reply to @MissMath_Teach, @pearse_margie, @pearse_margie
  • MFAnnie Jan 31 @ 9:17 PM EST
    Reminder for #ElemMathChat in case you missed it!
  • MFAnnie Jan 31 @ 9:18 PM EST
    Say more about that, Teri. What are you trying to do, specifically? #ElemMathChat
    In reply to @geometrywiz
  • geometrywiz Jan 31 @ 9:18 PM EST
    A2: I notice that two sides seem to always be congruent, and sometimes all 3 seem to be. #ElemMathChat
  • atkauffman Jan 31 @ 9:18 PM EST
    When I drag the red A vertex, B will shift with it and C stays fixed. This is a wonderful tool by the way!! #elemmathchat
    In reply to @MFAnnie
  • MFAnnie Jan 31 @ 9:19 PM EST
    Did you try? What happened? (You'll get asked to do this later, so you're previewing content!) #ElemMathChat
    In reply to @MarieMcMB
  • geometrywiz Jan 31 @ 9:19 PM EST
    I'm trying to see if the triangles are similar, by attempting to find corresponding angles. #ElemMathChat
    In reply to @MFAnnie
  • jkgibson6 Jan 31 @ 9:19 PM EST
    A2: Red. Always an isosceles. Sometimes and equilateral. Never scalene #ElemMathChat
  • mrsforest Jan 31 @ 9:19 PM EST
    So many kiddos call them “pizza but not triangles!” 🍕#elemmathchat
    In reply to @MissMath_Teach
  • pearse_margie Jan 31 @ 9:19 PM EST
    I am grabbing and yanking and oops, I think I flattened them #elemmathchat
  • mollymccabeacp1 Jan 31 @ 9:19 PM EST
    A2 I notice with the Red triangle I can sometimes move two vertices at one time but never 3. #elemmathchat
  • MFAnnie Jan 31 @ 9:20 PM EST
    Q3: Blue Triangle #ElemMathChat
  • MarieMcMB Jan 31 @ 9:20 PM EST
    A2: Red is always an isosceles, sometimes a right and I’m struggling with never... #ElemMathChat
  • MFAnnie Jan 31 @ 9:20 PM EST
    Hi, Jennifer. Can you name some specific things you noticed? (Maybe pretend you don't know "isosceles", "equilateral", and "scalene" and see what that encourages you to describe.) #ElemMathChat
    In reply to @jkgibson6
  • csarahj Jan 31 @ 9:20 PM EST
    The red triangle always has two acute angles (I think). It never has a right angle. It is sometime equilateral. #ElemmathChat
  • MFAnnie Jan 31 @ 9:21 PM EST
    Oooh. I look forward to hearing more about how you're tackling that idea. #ElemMathChat
    In reply to @geometrywiz
  • MFAnnie Jan 31 @ 9:22 PM EST
    Do you think they're still triangles? Why or why not? (If you've "lost" a vertex, you can reload the page.) #ElemMathChat
    In reply to @pearse_margie
  • pearse_margie Jan 31 @ 9:22 PM EST
    Blue Always obtuse Sometimes scalene Never equilateral #elemmathchat
  • jkgibson6 Jan 31 @ 9:23 PM EST
    A3: Blue. Always moving one vertex only moves that one vertex. Sometimes, the triangle is a right triangle. Never do the other two vertices move when I move one. #ElemMathChat
  • MFAnnie Jan 31 @ 9:23 PM EST
    How did you decide those ideas, Sarah? Curious about why you seem less confident in your first assertion, too. #ElemMathChat
    In reply to @csarahj
  • geometrywiz Jan 31 @ 9:23 PM EST
    A3: I notice that only one vertex cam be moved at a time. i notice that i can create triangles that appear to be scalene, isosceles, and equilateral with this one. #ElemMathChat
  • RawdingMolly Jan 31 @ 9:23 PM EST
    A3 Blue triangle Always has 3 sides Sometimes has one right angle Never a quadrilateral #ElemMathChat
  • MFAnnie Jan 31 @ 9:24 PM EST
    Q4: Green Triangle #ElemMathChat
  • MFAnnie Jan 31 @ 9:25 PM EST
    How did you come to those conclusions, Margie? I'm always curious how people decide A-S-N, when they couldn't have dragged every possible place. #ElemMathChat
    In reply to @pearse_margie
  • RawdingMolly Jan 31 @ 9:25 PM EST
    A4 Green triangle always equilateral & acute sometimes the biggest of the triangles never scalene #ElemMathChat
    In reply to @MFAnnie
  • HowardKiyuna Jan 31 @ 9:26 PM EST
    A4: It's always similar unless you put all three points on top of each other. #Elemmathchat
  • DDibley123 Jan 31 @ 9:26 PM EST
    How infinitely close (not sure if that's the right language) can you get before it's not a triangle anymore? Is this a math question or a philosophy question? #elemmathchat
    In reply to @MFAnnie, @pearse_margie
  • hshalla Jan 31 @ 9:26 PM EST
    @MFAnnie #ElemMathChat Q3: I can drag vertices and make any “kind” of triangle I want.
  • MFAnnie Jan 31 @ 9:27 PM EST
    Cool! Can you say more about how you made the red one a right triangle? #ElemMathChat
    • csarahj Jan 31 @ 9:25 PM EST
      I was wrong! I can make the red triangle have a right angle! But I still think two of the angles need to be acute. I feel more confident about that because if two were obtuse, the triangle wouldn't close- same with one right and one obtuse.
      In reply to @MFAnnie
  • kathybordone Jan 31 @ 9:27 PM EST
    A4 The Green triangle always has the same length sides, sometimes it points down and never lets me change it to a right triangle. #ElemMathChat
  • MarieMcMB Jan 31 @ 9:27 PM EST
    A3: Blue: sometimes right, sometimes equilateral, sometimes has an obtuse angle...always struggle with the never! #elemmathchat
  • MFAnnie Jan 31 @ 9:28 PM EST
    Q5: Purple Triangle #ElemMathChat
  • jkgibson6 Jan 31 @ 9:28 PM EST
    A4: Green. Always keeps the sides the same length. Sometimes it is "sitting" on a side" Never can I get it to match up with the purple triangle. #ElemMathChat
  • mollymccabeacp1 Jan 31 @ 9:28 PM EST
    A4 The green triangle is similar to the red but always equilateral #elemmathchat
  • MFAnnie Jan 31 @ 9:28 PM EST
    Right, like who says it's not a triangle? We could ask my buddy @sweimar if there is a line between math and philosophy, or if it's really blurry. #ElemMathChat
    In reply to @DDibley123, @pearse_margie, @sweimar
  • pearse_margie Jan 31 @ 9:29 PM EST
    Green Always equilateral Always equiangular sometime tiny sometimes big never isosceles never obtuse #elemmathchat
  • MFAnnie Jan 31 @ 9:29 PM EST
    Say more about what you mean by "similar" there, Molly. I want to hear more of your thinking (because, well, Twitter). #ElemMathChat
    In reply to @mollymccabeacp1
  • csarahj Jan 31 @ 9:30 PM EST
    #ElemMathChat Sure. The first time, I was rushing. I made some assumptions based on messing around with one vertex. Then, I went back and realized I could move all three vertices and that is when I blew my earlier assumptions out of the water.
    In reply to @MFAnnie
  • hshalla Jan 31 @ 9:30 PM EST
    @MFAnnie #elemmathchat Q4: can always rotate it about a point and it appears to remain equilateral. Never can make it another shape. Can always scale it up to create a congruent triangle. Sometimes??...sometimes it points “up”, sometimes it points “down” or another way
  • MFAnnie Jan 31 @ 9:30 PM EST
    Say more about "the same length sides", Kathy. I'm curious what you're looking at there (since I can't sit next to you). #ElemMathChat
    In reply to @kathybordone
  • RawdingMolly Jan 31 @ 9:30 PM EST
    A1 Purple Triangle always right sometimes isosceles never acute or equilateral #ElemMathChat
    In reply to @MFAnnie
  • HowardKiyuna Jan 31 @ 9:30 PM EST
    A5: The vertices are always called J, K, & L. It's always purple. It's not always a triangle (pt J over pt L). So then, my first statement is not true. Dang. Ok. It's always purple. Is it recess yet? #elemmathchat
  • geometrywiz Jan 31 @ 9:31 PM EST
    I believe triangle is defined as a 3 sided closed figure, which would require 3 vertices. #ElemMathChat
  • jkgibson6 Jan 31 @ 9:31 PM EST
    A5: Purple. Vertext J always moves with Vertex L. Sometimes JL and KL are the same length. Never are all of the sides the same length #ElemMathChat
  • MarieMcMB Jan 31 @ 9:31 PM EST
    A4: Purple: Always right. Sometimes isosceles, sometimes scalene but never obtuse!#elemmathchat
  • MFAnnie Jan 31 @ 9:32 PM EST
    Awesome! Yea, you really need to drag vigorously. I really should add that to the web page. #ElemMathChat
    In reply to @csarahj
  • MFAnnie Jan 31 @ 9:33 PM EST
    Let’s play the Matching Game. #ElemMathChat
  • MFAnnie Jan 31 @ 9:33 PM EST
    So if one vertex happens to temporarily be on the opposite side (say you moved point F onto DE), is it then not a triangle? #ElemMathChat
    In reply to @geometrywiz
  • MFAnnie Jan 31 @ 9:34 PM EST
    Matching the blue and purple triangles. #ElemMathChat
  • HowardKiyuna Jan 31 @ 9:34 PM EST
    Is there a keyboard shortcut to type a triangular symbol in Chrome? #elemmathchat
  • geometrywiz Jan 31 @ 9:34 PM EST
    LOL. I always hated the philosophical debates. I would have to say no, because then it becomes a segment with a third point. #ElemMathChat
    In reply to @MFAnnie
  • pearse_margie Jan 31 @ 9:34 PM EST
    Purple Always right Sometimes scalene Never equiangular Never obtuse #elemmathchat
  • HowardKiyuna Jan 31 @ 9:35 PM EST
    I say yes, it is not a triangle. It is two line segments. I hope. #elemmathchat
    In reply to @MFAnnie, @geometrywiz
  • RawdingMolly Jan 31 @ 9:35 PM EST
    and just noticed you can move the letter on the vertex #ElemMathChat
    In reply to @MFAnnie
  • MFAnnie Jan 31 @ 9:35 PM EST
    Are you doing that by dragging a side of the triangle, or are you on an iPad/tablet and using more than one finger on the screen? #ElemMathChat
    • mollymccabeacp1 Jan 31 @ 9:33 PM EST
      With both the purple and the red you can move 2 vertices at a time.
      In reply to @MFAnnie
  • MFAnnie Jan 31 @ 9:36 PM EST
    Q6: Try to match other pairs to “fill out” the chart. #ElemMathChat
  • mollymccabeacp1 Jan 31 @ 9:36 PM EST
  • pearse_margie Jan 31 @ 9:36 PM EST
    Oops, I lost my vertices again. scrolling for the link again #elemmathchat
  • MFAnnie Jan 31 @ 9:37 PM EST
    But how do you know there aren't still three segments, just with two of them lying on the other one? If we did this with pencil, I might agree with you, but since we can move the point on and off that other segment in this situation... ?? #ElemMathChat
    In reply to @geometrywiz
  • geometrywiz Jan 31 @ 9:37 PM EST
    I mean, yes, it is not a triangle. Didn't read carefully. Usually have better attention to detail. #ElemMathChat
    • geometrywiz Jan 31 @ 9:34 PM EST
      LOL. I always hated the philosophical debates. I would have to say no, because then it becomes a segment with a third point. #ElemMathChat
      In reply to @MFAnnie
  • MFAnnie Jan 31 @ 9:38 PM EST
    I don't think you have to hope. I think you can assert, because I'm not sure there is a right answer, there are just strongly-held opinions! #ElemMathChat
    In reply to @HowardKiyuna, @geometrywiz
  • geometrywiz Jan 31 @ 9:38 PM EST
    Ah, so we are now having to consider the medium by which we are creating the figure. The mud thickens, :D. #ElemMathChat
    • MFAnnie Jan 31 @ 9:37 PM EST
      But how do you know there aren't still three segments, just with two of them lying on the other one? If we did this with pencil, I might agree with you, but since we can move the point on and off that other segment in this situation... ?? #ElemMathChat
      In reply to @geometrywiz
  • jkgibson6 Jan 31 @ 9:39 PM EST
    A6: I think you can match up triangles that can be the same. For example, I can match up blue red and pur if I make it an isosceles right triangle. However, I can't get the green one to match up bc equil triangles can't have right angles. #ElemMathChat
  • MFAnnie Jan 31 @ 9:39 PM EST
    Even though there are still three segments there, and three vertices? #ElemMathChat
    In reply to @geometrywiz
  • HowardKiyuna Jan 31 @ 9:39 PM EST
    Conformity. #elemmathchat
  • MFAnnie Jan 31 @ 9:40 PM EST
    And you should be able to just reload the page. #ElemMathChat
    In reply to @pearse_margie
  • csarahj Jan 31 @ 9:40 PM EST
    I'm not so sure about this purple/red business. I think I am really close, but are they totally aligned? Did anyone else get the purple and red triangles to match up? #elemmathchat
  • geometrywiz Jan 31 @ 9:40 PM EST
    Three vertices when they are not collinear. I stand on my assertion. #ElemMathChat
    In reply to @MFAnnie
  • RawdingMolly Jan 31 @ 9:40 PM EST
    A6 I think yes to blue and any other color -- since the blue triangle is so easily moved. Still exploring the other pairs! #elemmathchat
    In reply to @MFAnnie
  • MarieMcMB Jan 31 @ 9:41 PM EST
    Here is what I noticed but my dexterity is the phone is definitely holding me back! #elemmathchat
  • MFAnnie Jan 31 @ 9:42 PM EST
    A square is always a rectangle. #ElemMathChat
  • MFAnnie Jan 31 @ 9:42 PM EST
    Sounds like @jkgibson6 did it. Maybe she has a hint for you. #ElemMathChat
    In reply to @csarahj, @jkgibson6
  • MFAnnie Jan 31 @ 9:43 PM EST
    A rectangle is sometimes a square. #ElemMathChat
  • MrsNewell22 Jan 31 @ 9:43 PM EST
    Hi #elemmathchat! Just popping in to say hi
  • MFAnnie Jan 31 @ 9:44 PM EST
    Q7: Name some such relationships between our triangles. #ElemMathChat
  • mollymccabeacp1 Jan 31 @ 9:44 PM EST
    I was able to get red, blue, and green to match but not purple. But I was able to get purple to match with blue so now I'm more curious! #elemmathchat
  • MFAnnie Jan 31 @ 9:44 PM EST
    Hubby says, "Well, if it's ON the line, you don't have three sides. Duh." (He and I don't agree on everything.) #ElemMathChat
    In reply to @geometrywiz
  • geometrywiz Jan 31 @ 9:45 PM EST
    Woop! Brilliant man. LOL. #ElemMathChat
    In reply to @MFAnnie
  • MFAnnie Jan 31 @ 9:46 PM EST
    Good thing you can keep exploring this sketch as long as you want! #ElemMathChat
    In reply to @mollymccabeacp1
  • RawdingMolly Jan 31 @ 9:46 PM EST
    A7 The purple triangle is a special kind of blue triangle because it always has a right angle. #elemmathchat
    In reply to @MFAnnie
  • DDibley123 Jan 31 @ 9:46 PM EST
    So maybe blue is the special triangle? #elemmathchat
    In reply to @mollymccabeacp1
  • geometrywiz Jan 31 @ 9:47 PM EST
    A7: Green triangle is a special kind of red triangle, because it always has 3 congruent sides, which makes it a special isosceles triangle. #ElemMathChat
  • jkgibson6 Jan 31 @ 9:47 PM EST
    A7: The blue triangle is a special kind of triangle because it has no rstrictions. Its sides can be any length, and its angles any measure. #ElemMathChat
  • MFAnnie Jan 31 @ 9:48 PM EST
    He suggested that I explain that he's a calculus guy who views geometry as the Dark Arts. Sometimes it's true that opposites attract! (I think geometry is da bomb.) #ElemMathChat
    In reply to @geometrywiz
  • mollymccabeacp1 Jan 31 @ 9:48 PM EST
    Dawn! Blue is special because it can match with the rest? Go Blue! #elemmathchat
    In reply to @DDibley123
  • MFAnnie Jan 31 @ 9:48 PM EST
    Or the least special triangle? Same thing, different perspective? #ElemMathChat
    In reply to @DDibley123, @mollymccabeacp1
  • MarieMcMB Jan 31 @ 9:48 PM EST
    Red and blue can definitely match! #elemmathchat
  • geometrywiz Jan 31 @ 9:49 PM EST
    I too love geometry. I'm also analytical and like to nail things down. #ElemMathChat
    In reply to @MFAnnie
  • jkgibson6 Jan 31 @ 9:49 PM EST
    A7: The red triangle is a special kind of triangle because it always must have two sides that are the same length. Its angles can change, although two of them are always the same measure. It can have a right angle. #ElemMathChat
  • DDibley123 Jan 31 @ 9:49 PM EST
    It's special because it's not so special? #elemmathchat
    In reply to @MFAnnie, @mollymccabeacp1
  • pearse_margie Jan 31 @ 9:49 PM EST
    Now what? #elemmathchat
  • csarahj Jan 31 @ 9:50 PM EST
    I think maybe the green triangle is a special kind of red triangle, but I am not positive yet. #elemmathchat
  • MFAnnie Jan 31 @ 9:51 PM EST
    Depends. What's your goal? #ElemMathChat
    In reply to @pearse_margie
  • jkgibson6 Jan 31 @ 9:51 PM EST
    A7: The purple triangle is special because it must always have a right angle. It can have two sides the same length or all sides and angles different measures, but it always has a right angle. #ElemMathChat
  • MarieMcMB Jan 31 @ 9:51 PM EST
    Red and green triangles can match. Ah! Green can never be a right triangle. #elemmathchat
  • MFAnnie Jan 31 @ 9:52 PM EST
    Q8: What (if any) math did you need to “know” to do this activity? #ElemMathChat
  • csarahj Jan 31 @ 9:52 PM EST
    I really don't think the red triangle and the purple triangle can match up because I think the red triangle always has two sides that are the same length and the purple triangle always has three sides that are different lengths. Maybe. #elemmathchat
  • mollymccabeacp1 Jan 31 @ 9:52 PM EST
    I'm sure it's somebody special to someone. #elemmathchat
    In reply to @DDibley123, @MFAnnie
  • MFAnnie Jan 31 @ 9:52 PM EST
    That sounds like philosophy too! #ElemMathChat
    In reply to @DDibley123, @mollymccabeacp1
  • DDibley123 Jan 31 @ 9:52 PM EST
    Line segment with 9 points? #elemmathchat
    In reply to @pearse_margie
  • jkgibson6 Jan 31 @ 9:52 PM EST
    A7: The green triangle is the least flexible. Its angles and sides are always the same length. It can never have a right angle. #ElemMathChat
  • DDibley123 Jan 31 @ 9:52 PM EST
    Maybe I'm in the wrong chat! #elemmathchat
    In reply to @MFAnnie, @mollymccabeacp1
  • geometrywiz Jan 31 @ 9:53 PM EST
    A8: How to play with the figures. Geometry vocabulary and attributes of triangles. Great conversations! We actually built a lot of these ideas. #ElemMathChat
  • MFAnnie Jan 31 @ 9:54 PM EST
    So can you make the red triangle have a right angle, or can you make two sides of the purple triangle have equal sides? Hmm... Thoughts? (Remember that you can drag every vertex. It's an equal opportunity environment, for the most part.) #ElemMathChat
    In reply to @csarahj
  • csarahj Jan 31 @ 9:54 PM EST
    A8: It is interesting. You really don't have to "know" any math to participate. In fact, some of the math that I "know" got in the way of my learning. #elemmathchat
  • jkgibson6 Jan 31 @ 9:54 PM EST
    A8: Really none. Vocabulary helps: triangles, vertices, right angles...but moving the points and thinking is just important exploration. #ElemMathChat
  • MNmMath - Moderator Jan 31 @ 9:55 PM EST
    Talking Estimation on 2/7/19 with Steve Wyborney @SteveWyborney leading #Elemmathchat at 8pm CST Please join us #MTBoS & #ITeachMath
  • MFAnnie Jan 31 @ 9:55 PM EST
    What sort of vocabulary did you feel like you "needed"? #ElemMathChat
    In reply to @geometrywiz
  • MFAnnie Jan 31 @ 9:56 PM EST
    Or maybe it's really #ElemMathChat and #MathPhilosophyChat.
    In reply to @DDibley123, @mollymccabeacp1
  • MarieMcMB Jan 31 @ 9:56 PM EST
    I had the most fun playing with the blue triangle. It feels like it can do/be anything! #elemmathchat
  • pearse_margie Jan 31 @ 9:56 PM EST
    A8. Helpful to be familiar with attributes of triangles Needed to be willing to explore, play, and take a risk #elemmathchat
  • MFAnnie Jan 31 @ 9:56 PM EST
    Looks like you've succeeded! Did you think about how many you have? #ElemMathChat
    In reply to @pearse_margie
  • geometrywiz Jan 31 @ 9:57 PM EST
    I sorta backtracked. Knowing "point", "side" helped. Knowing what i needed to show to know how to compare the triangles helped, but the Qs also led Ss to a lot of those ideas. #ElemMathChat
    In reply to @MFAnnie
  • MFAnnie Jan 31 @ 9:57 PM EST
    You don't find it boring because it's too flexible? (There are usually two camps on this - it's the best, or it's boring.) #ElemMathChat
    In reply to @MarieMcMB
  • DDibley123 Jan 31 @ 9:57 PM EST
    I would have felt more comfortable if I would have been more confident with my vocabulary. Maybe that's why I just asked questions. #elemmathchat
  • MFAnnie Jan 31 @ 9:58 PM EST
    Let the kids build some intuition before you “teach” them anything. Pretty please. #ElemMathChat
  • MFAnnie Jan 31 @ 9:58 PM EST
    I think that when I use this activity, I have to be sure to encourage participants to talk about side lengths and angles. I'm not always good about that. #ElemMathChat
  • mollymccabeacp1 Jan 31 @ 9:58 PM EST
    Q8 Great question Annie, I wonder if knowing "more math" could hinder your ability to freely explore because of feeling constrained by geometry rules? Great activity to share with early mathematicians! pre & post? Get ready 2nd graders! #elemmathchat
  • MissMath_Teach Jan 31 @ 9:58 PM EST
    Now I have to retract my notice about not being able to make green & purple the same #ElemMathChat
    In reply to @pearse_margie
  • MarieMcMB Jan 31 @ 9:59 PM EST
    A8: Not a ton of vocab is necessary. I think most kids can do a lot of math here with the basics (sides, angles, vertex) or synonyms or the basics. #elemmathchat
  • mollymccabeacp1 Jan 31 @ 9:59 PM EST
    Let's stick together Dawn. #elemmathchat
    In reply to @DDibley123
  • pearse_margie Jan 31 @ 9:59 PM EST
    @MFAnnie always gets me thinking! Great fun here at #elemmathchat tonight. Stay warm all!