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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 BC Puzzle Activities Bundle - First Semester

AP Calculus BC Puzzle Activities Bundle - First Semester

This is full set of activities used in my AP Calculus BC course during the Fall semester. These are not meant to be comprehensive of all content in BC. I usually use these activities as a "stop and review" day of class. There are 10 activities included, each with different puzzles (no puzzles types are repeated). Includes Precalculus Review/First Day ActivityLimitsBasic differentiation (before Chain rule)All differentiation (with Chain rule, exp/logs, inverse trig)Related ratesApplications of di
Preview of AP Calculus AB Puzzle Activities Bundle - First Semester

AP Calculus AB Puzzle Activities Bundle - First Semester

This is set of activities used in my AP Calculus BC course, which overlaps with AP Calculus AP for the most part. If you're looking for first semester BC activities, there are three additional included as part of a different bundle. There are 7 activities included here, each with different puzzles (no puzzles types are repeated). Includes Precalculus Review/First Day ActivityLimitsBasic differentiation (before Chain rule)All differentiation (with Chain rule, exp/logs, inverse trig)Related rates
Preview of Precalculus Puzzle Activity Bundle

Precalculus Puzzle Activity Bundle

This is full set of activities used in my Precalculus Honors course. The level corresponds to the highest level of Precalculus that was taught by my last two schools (prior to AP Precalculus being created). This bundle contains 13 different activities. Generally, I use these as a review activity, allowing students to work in groups during class time. In a 60 minute class, most students will be able to finish the problems and start the puzzle, finishing for homework.
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 Derivatives (before chain rule)  - Killer Sudoku Puzzle Activity

AP Calculus Derivatives (before chain rule) - Killer Sudoku Puzzle Activity

I like to do a summary of basic derivatives before moving on to chain rule. This could be used as a test/quiz review, a homework, or an in-class activity. I typically do this as a 60 minute activity, letting students work in groups on the problems. They can usually start, but not finish the puzzle in class. Topics include: Power ruleProduct ruleQuotient ruleTrig derivativesSecond derivativesDetermining function and derivatives values from a graphI cover exponentials, logs, and inverse trig after
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 Derivatives  - Skyscrapers Puzzle Activity

AP Calculus Derivatives - Skyscrapers Puzzle Activity

A review activity for derivatives. I use this after chain rule, usually as an extra review before the derivatives exam. This activity includes the following topics: Chain ruleExponential derivativesTrig derivativesInverse trig derivativesLogarithmic differentiationImplicit differentiationSecond derivativesVirtually every problem has some sort of chain rule involved.
Preview of AP Calculus Related Rates - Cryptogram Puzzle Activity

AP Calculus Related Rates - Cryptogram Puzzle Activity

While I know the AP doesn’t place a lot of emphasis on related rates, I believe the problem solving involved is important for the student’s growth in analytical thinking. For that reason, I do this full hour-long activity. Sub-topics involved are · Right triangles & Pythagorean theorem · Cylindrical volume · Spherical volume · Rectangular box (cuboid, prism) · SOH-CAH-TOA As expected, Chain rule is used in each problem with some product rule thrown in as well. The cryptogram involves fairly we
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 Limits - Three-In-a-row/Tic-tac-toe Puzzle Activity

AP Calculus Limits - Three-In-a-row/Tic-tac-toe Puzzle Activity

I use this as a 60 minute activity in AP Calculus. It is meant to be a review/summary of basic limits. Includes Basic limit algebra (factoring, conjugate, etc)Limits that do not existOne-sided limitsLimits to +-infinityPiecewise functionsThere are a couple of problems which require basic trigonometry, but I did avoid exponentials and logs. I tend to include those later on when we cover L'Hôpital's rule. Students tend to love this puzzle (three-in-a-row or tic-tac-toe). So much that they end up d
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
Preview of Precalculus Exponentials & Logarithms Tic-Tac-Toe Puzzle Activity

Precalculus Exponentials & Logarithms Tic-Tac-Toe Puzzle Activity

Includes a variety of exponential and logarithm problems used for my Precalculus Honors class, covering SimplificationEvaluating exactlyFinding equations given data/values/graphsWord problemsNatural logs, common log, log base bThe puzzle is a 10x10 three-in-a-row/tic-tac-tow puzzle. These often end up being my students favorite type of puzzle (many end up doing these for fun on their own time). There are quite a few problems on this activity, so it may take students more than one hour to finish.
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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.