Search Results for: modeling

Search Results

Modeling Rational Expressions

As part of our Teacher Federalism agreement, I now include the reciprocal function as one of my parent functions┬áin Algebra 2. But time constraints don’t allow me to really dig into the function–plus, the kids are on overload by the end of the term, what with exponential functions, logarithms, and inverses. I don’t really have […]

The Many Failings of Value-Added Modeling

Scott Alexander reviews the research on value-added models measuring teacher quality1. While Scott’s overview is perfectly fine, any such effort is akin to a circa 1692 overview of the research literature on alchemy. Quantifying teacher quality will, I believe, be understood in those terms soon enough. High School VAM is Impossible I have many objections […]

Modeling Exponential Growth/Decay Interspersed with a Reform Rant

Quadratics have become my new nadir, which is cheerier news than it sounds since it means I’ve kicked linear equations into obedient submission. For the first two and a half years of my teaching career, I felt good about quadratics because if nothing else, most kids remembered how to factor, and remembered that factors had […]

Modeling Linear Inequalities

I committed to making a big leap forward in inequalities this year. They’ve always been low priority in my curriculum, nothing more than a subset of equations, even though as a programmer, I can come up with fifteen real-life examples of working with them—much more than I can for linear equations. But once I kicked […]

Modeling Linear Equations, Part 3

See Part I and Part II. The success of my linear modeling unit has completely transformed the way I teach algebra. From Part II, which I wrote at the beginning of the second semester at my last school: In Modeling Linear Equations, I described the first weeks of my effort to give my Algebra II […]

Modeling Probability

This is a lecture class, but I put all the instructions in the handout as well, mostly so I can remember the outlines of the activity. In the lecture, I explain that video games run on probabilities, that balancing probabilities is an essential element for strategy video games. Any games that give the user a […]

Modeling with Quadratics

After my success (I hope) with linear equations, I started a unit doing the same thing with quadratics. Days 1-3: “A triangle’s height is three feet longer than its base. Create a table linking the height to the area. Graph.” “A rectangle’s length is twice as long as its width. Create a table linking the […]

Modeling Linear Equations, Part 2

In Modeling Linear Equations, I described the first weeks of my effort to give my Algebra II students a more (lord save me) organic understanding of linear equations. These students have been through algebra I twice (8th and 9th grade), and then I taught them linear equations for the better part of a month last […]

Modeling Linear Equations

“I have a certain amount of nickels and dimes that add up to $2.10.” “Sam bought a number of tacos and burritos. The tacos were $2 and the burritos were $3. Sam spent $24.” “Janice joined a gym with a sign-up fee of $40 and a monthly rate of $25.” I put these three statements […]

Great Moments in Teaching: Or, Browbeating Psychoanalysis

One of my strengths as a test prep instructor was spotting weird mental glitches that was interfering with a student’s success. I miss this part of the job, but every so often I get the chance in classroom teaching. ┬áIn this case, summer school trigonometry. I taught first semester in block 1, second semester in […]