NCTM Brain Teasers Sliding Triangle The triangle at left lies on a flat surface and is pushed at the top vertex. The length of the congruent sides does not change, but the angle between the two congruent sides will increase, and the base will stretch. Initially, the area of the triangle will increase, but eventually the area will decrease, continuing until the triangle collapses. What is the maximum area achieved during this process? This brainteaser was written by Derrick Niederman. Solution: 200 square units; 32 units. For the first part of the question, the maximum area occurs when the angle between the sides is a right angle. For a more advanced trigonometry solution, remember that the area of a triangle can be calculated by taking half the product of two sides and the sine of the angle between those sides. Again using a trig solution, A=(1/2)absinθ, where a and b are the side lengths.
Make Dice on the App Store Standards-Based Grading | When Math Happens When Math Happens Leave a comment Standards-Based Grading The following 4 links are a snapshot of how Standards-Based Grading works in my classroom. Below are resources that are helpful for exploring and implementing Standards-Based Grading. Share this: Leave a Reply Create a free website or blog at WordPress.com. | The Chunk Theme. Follow Get every new post delivered to your Inbox. Join 47 other followers Build a website with WordPress.com Art Set on the App Store Responding to Student Progress | When Math Happens One area where I need a lot of growth is responding to the progress of my students. Specifically, what are the next steps after I’ve identified the level of understanding in certain concepts? I recently decided to tackle this challenge during our review days for the state assessment. I began the process by consolidating all of the data from concept quizzes throughout the year. Here’s a tutorial video showing the process of creating these reports. This is a similar idea to the Growth Mindset Reports I blogged about a few months ago. For the original reports, I had the students self-assess their understanding of each concept because I was concerned about classroom status issues. I created several silent solution videos as the first step toward responding to student progress (the idea came from Kyle Pearce and Cathy Yenca). In addition, Jennie Magiera has talked about some interesting findings related to tutorial videos for teachers in Chicago Public Schools. Here’s a sample… Level 1:
Green Screen by Do Ink on the App Store One Example of a “Bad Hint” :: Annie at the Math Forum A couple of weeks ago during the Sunday night #probchat on Twitter the topic of hints came up. (You can read the whole conversation at Storify.) A few people started talking about possible “good” and “bad” hints, and I wondered how we’d gotten onto the topic of hints, rather than talking about possible solution strategies (which was the current question posed in the chat). So I chimed in with I know hints are a hot Twitter topic right now, and I agree that you do, as a teacher, want to have a plan for what to say to kids who are stuck somewhere specific (that you expected them to get stuck). figure out what the student understands about the storyhonor where the student is and what they’ve thought of so farlet the student do all the work and make all the decisions Yes, even if they say, “I don’t know how to start.” I didn’t mean to imply that you should offer nothing to students who aren’t sure how to get started. The students looked at him and said, “Whoa!
iMotion on the App Store 52 Of The Best Apps For Your Classroom In 2015 52 Of The Best Apps For Your Classroom In 2015 by TeachThought Staff This post was sponsored by CK-12, a non-profit foundation that creates and aggregates high quality curated STEM content. What are the best apps for your classroom? The best little bits of software to use tomorrow, in your school, to make your classroom go? This is, strangely, not a frequent topic for us. But what if that’s not your bag? This is the reality that, if statistics don’t mislead, most of you face on a daily basis. Let us know in the comments any that were what-were-they-thinking-missing-that-one? 52 Of The Best Apps For Your Classroom In 2015