Polar Graphing Sorting Activity


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After an introduction and exploration (which I wrote about here and here) to my polar graphing unit, I wanted to steer our attention in a more algebraic direction so we could establish some connections between polar and Cartesian forms. On top of that, I needed an activity that would work well with a sub. The intersection of those wants and needs? A …


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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 …


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Polar Graphing Introduction


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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, …


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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 …

Four Points, One Line


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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 …

Age-Appropriate? Not Exactly. Valuable? Absolutely.


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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. …


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Web Browsers #wcydwt


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What can you do with this? Source: http://9to5google.com/2014/06/05/googles-browsers-eclipse-microsoft-to-become-the-most-popular-in-the-u-s/

Desmos: Dot Capture Game


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I created a silly little game for my Algebra 1 students several weeks ago. The motivation? Five-fold! We’re a little weak with graphing lines. Some open-ended, Desmos-driven, instant-feedback style practice may help. Domain and range? Yeah, not so much. Inequalities? Haven’t done them justice. Yet. (Growth mindset, baby!) Vertex form for quadratics? Still struggling. We tried Des-man a few days before this game …

Desmos Hack: One-Variable Inequalities


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I was typing out solutions to an Algebra 2 assessment the other day. Question 3 on the assessment asks students to solve an equation involving absolute value. I began my solution with this… …and then launched into an algebraic confirmation of that solution. Now on the one hand, throwing a Desmos-generated graph into a “detailed solutions” handout is a great move because, well, just look at it. It’s beautiful. …