SamizdatMath

On September 18th, 2015, New York City standup comedian Matt Little recorded a video of a rat dragging a slice of pizza down the stairs at the First Avenue L train station in Manhattan. On September 21st, Little uploaded the video to his Instagram and YouTube accounts with a bemusing description comparing the rodent to Master Splinter from the Teenage Mutant Ninja Turtles (shown below). Within the first 24 hours, the video garnered over two million views. This is an investigation into the perime

If you can find another mathematical investigation into NYC pizza that is more complete than this, then I advise you to buy it immediately. This has taken me several years to research, write, proofread. You will learn the meaning of the word cornicione and why it is very important when talking about pizza. You will learn about the optimal size of a pizza to buy. This resource will save you lots of money in the future.

This is a set of 90 puzzles (30 at each level) of Advanced "Square Knot" Puzzles focused on practicing problems solving for 1st through 3rd graders using addition and subtraction. The format is the same as other square knot puzzles, with larger numbers. Why you should try these: One of the things that we should be emphasizing from the very earliest of ages is mathematics as problem solving. This is more than writing a bunch of word problems: problem solving is about using various techniques for

Do you want to know what the problem is with all that math you think you're "teaching?" It's missing something, and no, it's not "standards," or "aims" or "concision" or cryptocurrency. No, it's missing something far more important. Your math is missing "ambiguity." Let's look at how your textbook is probably teaching area and perimeter. It probably states the definition, and then gives a bunch of cruddy problems where you calculate the area and perimeter of a bunch of rectangles and then moves

This activity is based on the documented lies told by the Former President of the United States (FoPUS), Donald Trump. Donald Trump is unique in that all his lies were counted and documented by various news outlets, including The Washington Post. This has inspired me to develop an activity to investigate mathematics. In this case, it is the milestone that Trump reached on January 10, 2018, when Trump told his 2,000th lie, as documented by The Washington Post. Update: The Washington Post now re

Back in the 1980s (before most of you were born), the A & W hamburger restaurant chain tried to go head to head with McDonalds' new "quarter pounder" by creating and marketing a "⅓ pound hamburger." It was a spectacular flop. A research company hired to find the source of the problem found out that half of the people surveyed thought that there was less meat in a ⅓ lb. burger than a ¼ lb. burger because, well, "3 is less than 4." The burger was renamed the "Big Papi" and continued to be sold b

There is no cutesy kids or animals in this activity; it focuses on the math without distraction. This is an activity where children practicing using the "count up" and "count down" activity to make change from whole dollar amounts ($1, $2, $3, and in denominations up to $20.) It is designed to replicate the "real life" experience of giving change when the buyer has a non-whole dollar total. It also gives students practice in making change using coins, or combinations of bills and coins. The goa

This is the one and only collection of "MadHard" 'puzzlas' that I have been collecting, editing and finally, answering for more than a decade. Each one is designed to test the mathematical meddle of your kids, from 3rd through 8th grade. Are they hard? Oh, some are sooooo hard that they even stumped mathematicians! Others are a little less hard, but they're all pretty unique and fun and the contexts are nothing like you've ever seen before. Here are some examples: • A cute baby dressed as a tac

This is an investigation that first appeared in Harold Jacobs "Mathematics: A Human Endeavor." It uses a simplified billiard table with four corner pockets to model ratio and proportions, as well as give students the opportunity to conduct original research on different questions that arise from the investigation. Although I only showed the first student page and answer sheet, there are actually many different sections to this investigation: the first is an exploration section where students con

This is a seven part investigation into the carbon footprint of different kinds of food and diets. Investigation #1: What We Emit When We Eat: This is a list of 20 different foods, including meats, dairy, vegetables and grains and the amount of carbon released during their production. Students calculate the equivalent in miles driven by a car, as well as the amount of carbon released per ounce. Investigation #2: Students investigate the carbon footprint of three different meals. The first is a s

This is the best investigation you can find anywhere which links exponential growth with paper folding. It includes background information about the investigation, and uses charts and tables to keep track of how tall a piece of paper would be if you folded it in half up to 60 times. The activity works with both customary and metric units and has answer keys for both. This investigation also looks at the formula that was derived by Britney Gallivan, a high school junior who actually proved that

This is an old problem I saw almost 20 years ago: suppose you took two dice and rubbed off the pips (dots) from the faces, and instead put on numbers. How would you number it in such a way that you can roll the two dice and make all the numbers from 1 to 36? This is a wonderful problem to study combinations, patterns and general problem solving techniques. It is "hard" in that you can't calculate your way through it, and the solution evolves slowly as you work through the problem. But the soluti

Here is an interesting fact: did you know that most castles built during the middle ages were made from wood? It's a true fact! But you're probably thinking: wait, if most castles were made of wood, how come when you google the word "castle," all you see are stone edifices? The answer is: survivor bias! Think about it: you build a wood castle, and over the years, what's the thing that threatens it most? FIRE! So all those wood castles burnt to the ground over the last thousand years, while the

This is the fastest and easiest coin practice game you will ever image: print out the coin cards twice, cut and shuffle. Place between two partners. One card is turned over and the two partners call "salute." They each put a card on their own forehead, then add their partner's card to the one showing between them. They call out the answer, then they have to figure out what card is on their own heads based on that information. Comes in basic, hard, muy hard and mas hard!

Here's a very uncomfortable fact: it takes 4 pounds of potatoes to make 1 pound of potato chips. That means that for every 1 pound bag of potato chips you eat, 3 pounds of potatoes have to be thrown away. What a waste of food! This is a series of activities that looks at the hidden world of food waste. It includes a look at how much food is wasted as it is "processed" into finished products like french fries and potato chips. It also includes mathematical activities where students calculate how

This is a "bingo" style game where players have to get 5 in a row. Sound pretty boring, right? Well, it ain't. Here's why: instead of just being a "one to one" correspondence game where the teacher calls out some bogus fraction (like, uh, 4/5 = ? %), this is a game where students choose from 4 numbers, create a fraction and then convert that into a percent, and then choose whatever square fulfills that percentage. Except the squares are not all exact percentages: most of them are "between 20%

This is a set of activities designed to introduce students to a technique for finding the number of paths on a matrix from corner to another. In the beginning problems, students are permitted to use any technique they like, including the "brute force" method of tracing each and every path. Fortunately, for the first couple of problems, this is too confusing, but as the grid gets larger and larger, there are more and more paths to trace, which can get very confusing. From here, a new technique i

Howdy you all! You know, one of the things I love about people who don't know much about math is that they think that there's always one right answer to a math question. Well, there isn't: the reality is that most math questions (even seemingly simple ones like "how much is 2 + 2?") have answers like "well, it depends." In the case of "how much is 2 + 2, it depends on the base system you're working in: if it was base 3, then the answer would be 11 (1 group of 3 and 1 remainder), or it it was bas

Did you ever notice how many different types of paper towels they have for sale in the market? It’s not bad enough that there are like 5 different brands, but within each brand there are different types: printed, quilted, “choose a size,” and let’s not forget single ply versus double ply. When you figure that you’ll probably go through one of these rolls each week (maybe even more, if your family is anything like mine) and then year in year out, it’s going to be a lot of money! So I decided to

My school uses Connected Math for it’s 6th grade math curriculum; it’s pretty bad in many ways, but on the other hand, it is much better than all the other 6th grade math curricula I’ve seen, which are complete and unadulterated junk (I’m looking directly at you, Go Math!!) The 6th grade unit on rates and ratios has some pretty good activities in it, but I think the use of gummy worms is pretty lame, because, well, I am a believer in the separation between crappy food and educational matter