desmos | Reason and Wonder

Polar Graphing Exploration

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Over the weekend I wrote about an alternative launch to my Precalculus polar graphing unit. After that first lesson, I decided to throw out my usual “Day 2 Notes” and replaced them with a six-part, Desmos-driven exploration. I started by having students fire up Desmos, working in a 2:1 arrangement (two students per screen). While they got that ready to go, I distributed a stack …

Polar Graphing Introduction

My polar graphing unit in Precalculus has always started in the same lackluster way: With me telling students how to graph polar coordinates. We then launch into some point-by-point graphing, followed by various explorations and challenges involving graphing polar equations, and we’re off to the races. This year I wanted to try something different. Instead of telling students how to plot polar coordinates, …

New Lesson: Charge!

Last summer I sat next to a power outlet for more than two hours, taking screenshots of my plugged-in-and-charging cell phone once every four minutes for nearly 2.5 hours. The result? A linear modeling task with a nice twist near the end. I’ve presented the lesson in a variety of workshop settings (each time it was well received), but this week marks the first time I used …

Match My Line • Create Your Own

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Last month I shared Match My Line and Match My Parabola, a pair of Desmos-driven challenges (rather, sets of challenges). They’ve quickly become two of my favorite ways to build or deepen graphical understanding, whether working with middle school students or older kids (who “should know this stuff” but commonly do not). I brought a do-it-yourself extension of the “Match My Line” challenges to Math B a couple …

Visual Patterns + Desmos = Amazing!

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I’ve been a fan of Fawn Nguyen’s visualpatterns.org for several years. I use resources from the website on a regular basis in my own classroom and in teacher training. The conversations are always excellent, and the emphasis on multiple-representations is a huge benefit to students wrestling with ideas in an all-too-often isolated context. (Plus, creating your own patterns is a blast!) …

Four Points, One Line

As my students have worked through a series of linear graphing challenges this month, I’ve been looking for a way to challenge them to synthesize (and hopefully even extend) what they’ve noticed over the past few weeks. I think I’ve found my culminating challenge. My Goal My goal is to elicit a variety of equation styles (point-slope, slope-intercept, etc), and my hope is …

Amazing Alfred

Have I mentioned that I love my job? After a great first week back in the classroom, my Saturday night just ended on an even higher note. First, I got this notification just before heading out for an elegant dinner with my wife: I ignored it for the time being. When I returned home and fired up my email, I found this …

Age-Appropriate? Not Exactly. Valuable? Absolutely.

I started something new this week. I’m not entirely sure where it will end up, but I like how things are shaping up after just one challenge. Here’s what I presented to my students: https://www.desmos.com/calculator/kposfnfytr Age-appropriate for Precalculus and Calculus? Not exactly. With a slight nudge, this is something a group of Desmos-equipped 6th graders could tackle. But… Oh. My. …

Getting Better by Nailing the “Why”

Last weekend I presented at the CMC North conference in Asilomar, CA. I’ve attended this conference for most of the last eight years (though I took the last two years off after my wife and I had twins). It’s always been one of my favorite conferences, and this year was no exception. In fact, this may have been my favorite …

Gearing Up for CMC North 2014

This Friday a host of passionate teachers will converge on Pacific Grove, CA for the California Mathematics Council’s northern conference. I’m presenting a session on Desmos (almost identical to the one I gave at CMC South in October). I’m also set to give an Ignite talk Saturday evening. (Super excited for that, and more than a little nervous.) Whether you’re attending and want to …

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