### The Jug Band

“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?

Skip to content # Session Style: Problem Posing

### The Jug Band

### Investigating the Surface Area of Prisms

### One-Player Games

### Monty Hall Problem

### Magic Squares

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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?

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Developed as part of the Math Circles of Inquiry project, this module enables students to build understanding about surface area. Students will complete three tasks dealing with surface area and volume of rectangular and triangular prisms, including a real world investigation, presented in Three Acts. The tasks will go from the concrete to the abstract as students gain understanding of what it really means to calculate surface area and volume. The module includes a refresher on area and perimeter.

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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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A prize is hidden behind one of three doors. You choose the door where you think the prize is hidden. But before the door is opened, one of the other 2 remaining doors is opened to reveal no prize. You can choose to keep the door you chose earlier or switch to the other remaining door. What should you do?

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Your goal is the place the numbers 1 – 9 in a 3 by 3 grid so each row, column, and diagonal add up to the same magic number. Can you find what this magic number is?