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This is the Newest webtool developed by Dan Meyer and Dave Major. Dan Meyer discusses the tool and task in a post on his blog here - http://blog.mrmeyer.com/?p=17503 I think this tool would be very engaging for students. Give them the task of finding the quickest route, and they will go nuts with it. I see two main applications for this particular tool/task: You could use this tool as an introduction to angles. Put it on the board, give the kids the task, and have them discuss how they would tell the ship captain to navigate around the buoys. When non-mathematical language and vocabulary bogs down the ship's progress, overlay a grid/protractor and introduce the idea of angles. Have the kids play around with the tool to come up with the quickest route. Discuss the result of small differences in angle measurement on the ship's progress (each degree above the necessary increases the amount of time lost). This could lead into a discussion on the importance of precision… This would be an easy task to make over if you wanted to talk about slope and writing equations of lines (Algebra I). You could overlay a grid on the board, The kids could draw the lines in to get the ships around the buoys, write the equations, then you could talk about how cumbersome the equations are and how ships are actually piloted and bring in the idea of degrees/vectors (direction and angle). Not only does this tool help to teach angles/vectors, but it's also a tool to get students estimating (angles AND distance).

"When I get a taxi for the 15-minute ride from my office to the airport, I have two choices. I can hail a cab on the street, and pay a metered fare for the 4.6-mile trip. Or I can walk to the local Marriott and pay a fixed fee of $31.50. Truthfully, I'm always a lot happier paying the fixed fee. I'm happier even though it probably costs more in the end. (A congestion-free trip on the meter comes out to about $26.) Sitting in a cab watching the meter tick up wrenches my gut: Every eighth of a mile, there goes another 45 cents-tick ... tick ... tick." ...this provides interesting context for a math problem using linear equations. When is it worth it to pay the fixed fare vs. paying the per 1/8th of a mile rate? You could "3-Act" this scenario pretty easily: -Take a short video of a taxi fare display clicking upwards. Ask students to give you the first questions that come to mind. When the students ask for it, provide them with a photo of the rate schedule on the side of the taxi and your destination address.

"There's a contest called Math-O-Vision, which your students should enter. Here's the premise: The Neukom Institute for Computational Science, at Dartmouth College, is offering prizes for high school students who create 4-minute movies that show the world of equations we live in. In 240 seconds, using animation, story-telling, humor, or anything you can think of, show us what you see: the patterns, the abstractions, the patterns within the abstractions." Two interesting things going on in this short blog post: 1. It introduces a contest which might be interesting for some of your students. I looked at the winning video from last year (linked in the post) and know that our students are capable of making something of similar quality. 2. The articles provides an interesting insight on math as a "product." This is quite an interesting discussion when thinking about how/why to assign this type of activity to your students.

"The point here is that the technology made the conversation easier. Instead of creating 20 different examples of graphs and seeing what happens as each variable is changed, students were able to visualize the changes, both in the graph representation, and in the formula representation. When asked if they noticed anything after the "Point on the line" slider was changed, one student said they noticed the Intercept-slope form of the equation did not change. Another student responded to him with "that form of the line doesn't depend on which points you use.""