## Friday, November 25, 2016

### Math Links for Week Ending Nov. 25th, 2016

I have been working on a series of WebSketches to help students practice rotation of shapes. The latest one was about rotations. This one took me way longer than it should have but I think I worked all the kinks out. It starts out with simple rotation of shapes by dragging them that could be done by grade 6 students and then ends up with rotation of individual points by plotting points. All along the way new random problems can be generated.
Curriculum Tags: Gr7, Gr8
http://engaging-math.blogspot.ca/p/web-sketches.html

Someone just fell in love with proportional reasoning. This post from @mathletepearce takes the idea of proportional reasoning from kindergarten to grade 9 in this massive post. He starts with the concepts of multiplicative and additive thinking and ends with multiple representations for the same problem. Sometimes I think proportions are not given their proper due and they are one of the most important topics (IMHO) we teach in math. So it is good that he treats them with such depth here.
Curriculum Tags: All
https://tapintoteenminds.com/progression-of-proportional-reasoning/

I love this idea of using stop motion animation to have kids working through patterning problems. Sometimes it is a tweak like this that allows students to engage in something that normally they wouldn't. For example, this simple growing pattern was created by @MrOrr_Geek's students. Read on to see how he facilitated it.
Curriculum Tags: Gr7, Gr8
http://mrorr-isageek.com/animated-patterns-gallery-walk/

One thing that has become apparent to me over the years of being a consultant is that when we brush over simple math with rules without contemplating the conceptual understanding, we become the ones that cause students to never have a chance at understanding math. Case in point, subtraction of integers. As kids, many of us learned integer operations by just being told a bunch of rules and often those of us that became teachers were also those kinds of students who learned those rules because the teacher said to. But what we didn't realize was that much or the rest of the class did not. Cut to when we become teachers, we assume that because those methods worked for us they should work for our students. Then we wonder why they didn't. By that long winded introduction, I love that @MarkChubb3 has taken on the nature of integer subtraction by first contemplating it as either the removal of something or the difference of two things. Read on to get some insight on why we need conceptual understanding.
Curriculum Tags: Gr7, Gr8, MFM1P, MPM1D
https://buildingmathematicians.wordpress.com/2016/11/25/subtracting-integers-do-you-see-it-as-removal-or-difference/

I have mentioned the site PrepAnywhere before as a place for Ontario teachers who want to flip their classes to find videos and worksheets for students based on the textbooks we are using for the course. @mglMin has started to create some vlogs to help the users along.
Curriculum Tags: All
https://prepanywhere.tumblr.com/

I love these hidden algebra problems. If a student saw these simultaneous equations but written, instead, with variables they would have a dear in headlights look. But present it like this and you can get kids of all ages engaging and solving it.
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P