The best teachers are the ones who care about me.
— K.T., age 12
Math Mondays: Analytic Geometry in PreCalculus
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Math Mondays: Analytic Geometry in PreCalculus

Analytic geometry (a.k.a. conic sections) used to be my least favorite unit to teach. The formulas are dry and easy to mix up, it's hard to find real world applications where my students might need these equations (or how to find the directrix, vertex, etc.), and they almost seem like a side topic from all the other work we have been doing in PreCalculus. When I find a topic dull, I take it as a personal challenge to make it interesting to my students. Over the past two years, I have fallen in love with conic sections. Here's what I do to keep it interesting:

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Math Mondays: Teaching Work, Motion and Mixture Problems in Algebra 2
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Math Mondays: Teaching Work, Motion and Mixture Problems in Algebra 2

As part of our rational functions unit in Algebra 2, we stumble on the troubling work, mixture and motion word problems. You know, if train a leaves at 1 and train b leaves at 3 and...or if one pipe fills a tub at a rate of 20 liters per minute and another pipe drains it at 12 liters per minute... my students groan when we get to these. Despite having worked with word problems and real world applications for years leading up to this topic, it is still a struggle for many students.

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