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Doc Dos Math & CS

Rated 5 out of 5, based on 2 reviews
11 Followers
Jacksonville, Florida, United States
About the store
I was an associate professor of mathematics and computer science for 13 years at a small university before moving to my current position as a high school teacher at an independent high school.
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Preview of AP Calculus Power Series - Train Tracks Puzzle Activity

AP Calculus Power Series - Train Tracks Puzzle Activity

This is a 60 minute activity over power series intended for AP Calculus BC. It includes Interval of ConvergenceTaylor & Maclaurin Series Lagrange Error BoundsThere are a few straightforward problems, then the activity ends with two AP FRQ style problems.
Preview of AP Calculus Sequences & Series - Marupeke Puzzle Activity

AP Calculus Sequences & Series - Marupeke Puzzle Activity

This is a 60 minute activity over sequences and series intended for AP Calculus BC. It includes Convergence and divergence of sequencesConvergence and divergence of series usingDivergence testComparison testLimit Comparison testP-seriesGeometric seriesTelescoping seriesIntegral remainder theoremThis is meant to be a precursor to the power series/Taylor series chapter. Those will be covered in a different activity. The puzzle is a twist on a traditional "tic-tac-toe"/three-in-a-row puzzle, asking
Preview of AP Calculus Polar - Slitherlink Puzzle Activity

AP Calculus Polar - Slitherlink Puzzle Activity

This is a 60 minute activity over Calculus of polar functions intended for AP Calculus BC. It consists of two multi-part AP-style FRQ problems covering polar functions. The puzzle is a Slitherlink puzzle. While these are generally challenging, this particular puzzle is relatively small and most student can finish the problems and the activity within the hour.
Preview of AP Calculus Parametric - Tatami Puzzle Activity

AP Calculus Parametric - Tatami Puzzle Activity

This is a 60 minute activity over Calculus of parametric functions intended for AP Calculus BC. It consists of two multi-part AP-style FRQ problems covering parametric functions as they relate to Horizontal and vertical tangentsSecond derivativesSpeedDistanceThe puzzle is a Tatami puzzle, with similar structure to a Sudoku, however most students have never seen a puzzle like this before.
Preview of AP Calculus Applications of Integration  - Domino Puzzle Activity

AP Calculus Applications of Integration - Domino Puzzle Activity

This is a 60 minute activity over applications of integration for AP Calculus. This should be applicable for both AP Calculus AP and BC. It includes Area of region between two curvesVolume via rotation around x-axis and/or y-axis (disc-method only)Volume using cross-sections xAverage valueNote that both washer-method, cylindrical shells, and rotation around vertical or horizontal lines that are not the axis is not part of this activity. I find that students need a little practice with the basic
Preview of AP Calculus Washers & Discs - Arrow Sudoku Puzzle Activity

AP Calculus Washers & Discs - Arrow Sudoku Puzzle Activity

This is a 60 minute activity over disk and washer method for AP Calculus. This should be applicable for both AP Calculus AP and BC. It includes Volume via rotation around x-axis and y-axisVolume around vertical and horizontal lines that are not the axesNote that cylindrical shells can, of course, be used for a number of these problems, however no problem results in an impossible integral using washer or disc method, so shells is not absolutely necessary. The puzzle follows the same rules as a tr
Preview of AP Calculus (BC) Integration Techniques - Mathgrid Puzzle Activity

AP Calculus (BC) Integration Techniques - Mathgrid Puzzle Activity

This is a 60 minute activity over integration techniques for AP Calculus BC. It includes Partial fractions (linear distinct roots)Integration by partsImproper integralsU-substitutionThe puzzle is a Mathgrid (which is different than a mathemagrid/set square). It is pretty straightforward, and most students should be able to finish both the problem set and puzzle within the hour.
Preview of AP Calculus (BC) Differential Equations - Nonogrid Puzzle Activity

AP Calculus (BC) Differential Equations - Nonogrid Puzzle Activity

This is a 60 minute activity over the differential equation portion of AP Calculus BC. It includes Separable differential equationsSlope fieldsEvaluating second derivatives in the context of ODEsThe puzzle is a nonogrid/nonogram. Students tend to have a bit of experience with these and have little trouble finishing it for homework.
Preview of AP Calculus u-Substitution - Kakurasu Puzzle Activity

AP Calculus u-Substitution - Kakurasu Puzzle Activity

This is intended to be a 60 minute in-class activity. Students usually get into small groups and work on the problems and puzzle together. The problems are all definite integrals requiring u-substitution. Includes Power ruleTrigExponentials and logsInverse trigI use this as a quick review/practice assignment before moving onto advanced integration techniques in AP Calculus BC, but this would work well as a u-subs only practice or homework in any other calculus class. The puzzle is a Kakurasu, wh
Preview of AP Calculus L'Hôpital's Rule - Mathemagrid Puzzle Activity

AP Calculus L'Hôpital's Rule - Mathemagrid Puzzle Activity

This activity has two different Mathemagrid/Set Square puzzles, each with 4 problems requiring L'Hôpital's Rule. Most are traditional 0/0 or inf/inf, but there are some others that require a bit of algebra (1^inf). Generally, my students can finish the problems and puzzle within the hour.
Preview of AP Calculus Applications of Derivatives - Slitherlink Puzzle Activity

AP Calculus Applications of Derivatives - Slitherlink Puzzle Activity

This is intended to be a 60-minute activity which hits some topics in applied derivatives. I have a different activity that focuses on related rates, so they’re not covered here. This instead focuses on: · Absolute min/max · Local min/max · Inflection points · Optimization word problems A couple of the optimization word problems are pretty involved algebraically, so this makes for a nice little challenge. The puzzle (Slitherlink) is also something not many students have seen before, so it tends
Preview of AP Calculus Definite Integration (FTC) - Kakuro Puzzle Activity

AP Calculus Definite Integration (FTC) - Kakuro Puzzle Activity

This is intended to be a 60 minute in-class activity, but would work well as a homework as well. It is all definite integration, involving the following Fundamental Theorem of Calculus (I and II)Integration which results in logs and exponentials (a tiny bit u-subs, which students can figure out without knowing it yet)Trig integrationInverse trig integrationArea under a given graph using geometric shapesRiemann sumsI usually use this as an additional review before my exam covering FTC, basic inte
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About the store

Experience

I was an associate professor of mathematics and computer science for 13 years at a small university before moving to my current position as a high school teacher at an independent high school.

Teaching style

For the past five to six years, I have incorporated puzzle-style activities into my mathematics curriculum. My belief is that fostering students' analytical thinking is crucial, and I have observed that these puzzles provide an enjoyable challenge for them. In fact, some students view these puzzles as a rewarding experience after completing the mathematical components of our lessons. In my computer science courses, I often have the privilege of teaching exceptional students. To accommodate a range of abilities, I design labs and projects that are achievable for the average student, occasionally with some guidance. However, these assignments are structured with enough complexity to ensure that even my most advanced students do not find them trivial and remain engaged.

My own education history

I have an BS, MS, and PhD in mathematics with an emphasis on computational mathematics.