Doc Dos Math & CS
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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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Programs & methods
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.
10th - 12th
Calculus
Also included in: AP Calculus BC Puzzle Activities Bundle - Second Semester
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
10th - 12th, Higher Education
Calculus
Also included in: AP Calculus BC Puzzle Activities Bundle - Second Semester
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.
10th - 12th
Calculus
Also included in: AP Calculus BC Puzzle Activities Bundle - Second Semester
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.
10th - 12th
Calculus
Also included in: AP Calculus BC Puzzle Activities Bundle - Second Semester
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
10th - 12th, Higher Education
Calculus
Also included in: AP Calculus BC Puzzle Activities Bundle - Second Semester
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
10th - 12th, Higher Education
Calculus
Also included in: AP Calculus BC Puzzle Activities Bundle - Second Semester
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.
10th - 12th
Calculus
Also included in: AP Calculus BC Puzzle Activities Bundle - First Semester
AP Computer Science Principles - Decisions Lab (Python)
This particular assignment covers decision statements (if, elif, else). There are four different problems the students need to write code to solve. Functions are also required for some of the problems. This is one of the first times students need to do some organized logical thinking, so I tend to give about 3 or 4 class days for this assignment. In this, and all labs posted on TPT, the questions are of my own making, and any similarity to codes/assignments/homework found anywhere else is by
9th - 12th, Higher Education
Computer Science - Technology
Also included in: AP Computer Science Principles - Labs and Projects (Python)
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.
10th - 12th, Higher Education
Calculus
Also included in: AP Calculus BC Puzzle Activities Bundle - Second Semester
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
10th - 12th
Calculus
Also included in: AP Calculus BC Puzzle Activities Bundle - First Semester
AP Computer Science Principles - Lists Lab (Python)
This is the last “normal” lab I do in my AP Computer Science Principles class. The main goal of this lab is to get the students practical experience with lists. The secondary goal is to give them an example of a code that satisfies the requirements of the Create Task. There are just two problems in this lab, as the codes are significantly more complicated than earlier labs. In this, and all labs posted on TPT, the questions are of my own making, and any similarity to codes/assignments/homework f
9th - 12th, Higher Education
Computer Science - Technology
Also included in: AP Computer Science Principles - Labs and Projects (Python)
AP Computer Science A - Arrays Lab (Java)
This lab covers one dimensional arrays. I usually cover this right before I do a midterm project in AP CS A, and save two dimensional arrays for when we return from winter break. There are only three problems on this lab. I usually give the students only about 3 days on this, since we're eager to get to the midterm project instead. In this, and all labs posted on TPT, the questions are of my own making, and any similarity to codes/assignments/homework found anywhere else is by chance. The except
10th - 12th, Higher Education
Computer Science - Technology
Also included in: AP Computer Science A - First Semester Labs & Projects (Java)
AP Computer Science A - Loops & Decision Statements Project (Java)
This is an AP CS A project I assign to my students after they have learned methods, loops, and if statements. They still haven't yet learned how to write full classes from scratch, so this is mostly an exercise in programming logic. There are two problems, both requiring a fair amount of analytical thinking. String operations are especially emphasized, as the AP tends to love them. I usually give the students 4-5 full class days to complete this. In this, and all labs posted on TPT, the question
10th - 12th, Higher Education
Computer Science - Technology
Also included in: AP Computer Science A - First Semester Labs & Projects (Java)
AP Computer Science Principles - Pygame Lab (Python)
After strings, functions, IO, and decisions statements, I find my students need a little bit of a fun assignment, showing them some of the cooler aspects of what they can do with Python. I do this lab, on Pygame, after decision statement but before loops. It would work just as well right after loops, but I try to write the assignment so that loops aren’t “needed”. There are three different codes included. Two showing examples of working infinite runners (one a multi-lane up/down runner and the
9th - 12th, Higher Education
Computer Science - Technology
Also included in: AP Computer Science Principles - Labs and Projects (Python)
AP Computer Science Principles - Strings & Functions Lab (Python)
This particular assignment covers basics of strings and functions. Many of my students tend to struggle a bit with the concept of multiple input/outputs into Python functions (as well as Python scope) so I usually provide three in-class work days for this particular lab. There are four different problems the students need to write code to solve. In this, and all labs posted on TPT, the questions are of my own making, and any similarity to codes/assignments/homework found anywhere else is by chan
9th - 12th, Higher Education
Computer Science - Technology
Also included in: AP Computer Science Principles - Labs and Projects (Python)
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.
10th - 12th
Calculus
Also included in: AP Calculus BC Puzzle Activities Bundle - First Semester
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
10th - 12th
Calculus
Also included in: AP Calculus BC Puzzle Activities Bundle - First Semester
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
10th - 12th
Calculus
Also included in: AP Calculus BC Puzzle Activities Bundle - First Semester
AP Computer Science Principles - Battleship Puzzle Project (Python)
This is the last project that I will do in AP Computer Science Principles, except on the rare occasion that we have more than one or two classes after AP exams are completed. This is meant to be a challenging puzzle and have functions that satisfy the requirements of the Create Task exam. I have students do practice questions from the AP based on this code (or the last Lists Lab codes). They obviously cannot use this for their Create Task code, but I feel like giving them additional examples of
9th - 12th, Higher Education
Computer Science - Technology
Also included in: AP Computer Science Principles - Labs and Projects (Python)
AP Computer Science A - Midterm Project: Family Feud (Java)
This is my midterm project for AP CS A. It is assumed that students have had: arrays, loops, decision statements, and can write classes. This project is pretty easy to understand. Students just need to make a working game of Family Feud. Requirements and rules are given in the project. There is also sample instructor code. Students usually enjoy this project quite a bit. I give them a little over a week to do this (usually spanning two weekends so they have a bit more time!). In this, and all l
10th - 12th, Higher Education
Computer Science - Technology
Also included in: AP Computer Science A - First Semester Labs & Projects (Java)
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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.
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