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The Jug Band

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“Using just that 5 pint jug and that there 12 pint jug, measure me 1 pint of water!” Is this possible with just the two jugs? What about a 7 pint jug and 17 pint jug? Or p pint and q pint jugs?

I Walk the Line

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Your regular commute begins at your house and ends at your office at the corner of 5th street and 6th avenue. You have been making this trip for years, but you are the restless (or adventurous) type, and you try to take a different route each day. At some point, you start to wonder how long it will take you to try all of the routes.

Oh, did I mention that you have to avoid the zombies?

Supreme Court Handshakes

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Developed as part of the Math Circles of Inquiry project, this session is a good introduction to the 8th grade or Algebra Math curriculum using inquiry based instruction. Students are asked to use their problem solving skills in order to determine the relationship between the number of Supreme Court justices and handshakes that occur when each pair shakes hands exactly once. Students will begin exploring with simpler numbers and work up to creating an algebraic expression to represent the function. This lesson allows for multiple representations by using a table, list, circle diagram, matrix and manipulatives.

Contextualizing Mathematics: Fortnite – Surviving the Storm

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In this session, developed as part of the Math Circles of Inquiry project, you are playing Fortnite. There are three loot boxes marked by your teammates. Which one is the best to go to? In other words, which point is closest to a given point outside a circle, the center of the circle or one of two points of tangency connecting the outside point to the circle? The highly contextualized nature of the problem posed will make the mathematics more appealing for students to explore. Moving between individual work, partner work, and whole class discussion, students make their predictions and...

Practical Probability: Casino Odds and Sucker Bets

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Gambling casinos are there to make money, so in almost every instance, the games you can bet on will, in the long run, make money for the casino. However, to make people gamble, it is to the casino’s advantage to make the bets appear to be “fair bets,” or even advantageous to the gambler. Similarly, “sucker bets” are propositions that look advantageous to one person but are really biased in favor of the other. In this article, we’ll examine what is meant by a fair or biased bet, and we will look in detail at some casino games and sucker...

One-Player Games

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Here is a collection of seven one player games, and one two player game. Your goal in each game is to find the winning strategy. As the rules change, can you still win? Various mathematical strategies can be employed, including working backwards, problem posing, invariants, and parity. Each game can be explored alone or in sets, providing material for several circle sessions or the classroom.

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