12 of 17 Items .... Source: Dan Meyer

Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.

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Every year I give this graphic comparing the Doodle Jump stats for @ddmeyer and his friend Mike.




Give a couple of reasons why we could consider Dan the better player.
Give a couple of reasons why we could consider Mike the better player.

Qs? Outlier, average, max/min values, etc.


.: [STATS], [Dan Meyer], [How Many Ways?].

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R3
"Sony doesn't say" .... but do we have enough information to tell anyway?

‘The Interview’ Brings In $15 Million on Web 

LOS ANGELES —

“The Interview” generated roughly $15 million in online sales and rentals during its first four days of availability, Sony Pictures said on Sunday.

Sony did not say how much of that total represented $6 digital rentals versus $15 sales. The studio said there were about two million transactions over all. 


3


.: [ALG1], [Dan Meyer], [The RealWorld].

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.: [GEOM], [Dan Meyer], [New Understanding].

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Here's a screen grab of one of @ddmeyer's videos: Penny Circle.




If this were a 0.75" circle, the penny would fit perfectly. If it's 1" then there would be a lot of wasted space. What sizes of circle would be best for packing in 0.75" pennies with as little wasted space as possible?


.: [GEOM], [Dan Meyer], [3ACT].

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Which distance is shorter?

W

Challenge:
Which two houses are the furthest apart when traveling by road?


.: [MS Math], [Dan Meyer], [The RealWorld].

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You successfully transmitted the sizes of the various figures and your correspondent has successfully created them.  For a bit of fun, you say only that the final figure will be "a circumscribed polygon with more than two lines of symmetry."

How many different ways can this be accomplished ... or is that description sufficient to repeat the figure?


.: [GEOM], [Dan Meyer], [How Many Ways?].

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What if your description started with the circle?


  • One circle, radius 1.

  • 8 Squares, side length X

  • 8 parallelograms, side lengths Y (and Z?) and angles of A and B

What would those measurements be?


.: [GEOM], [Dan Meyer], [Explainer].

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Pretend for a moment that part of your description was


  • 8 Squares, side length 1

  • 8 parallelograms, side lengths Y (and Z?) and angles of A and B

  • and One circle, radius X.

What would those measurements be?


.: [GEOM], [Dan Meyer], [Explainer].

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There's the task. Print this out for half the class (A) and have them describe to the other half (B), who draws it using the tools chosen by the descriptor (A).

paper, pencil, compass, straightedge?
Geogebra?
Geometer's Sketchpad?
Tangram pieces?

Can they use their cellphones and call their friend?


.: [GEOM], [Dan Meyer], [Modeling].

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How much would you pay to play?

How much would you charge someone else to play if you had to pay the winnings?

Is it "fair"?


.: [PROBABILTY], [Dan Meyer], [Notice, Wonder].

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William Carey:


We play Prime fish with the sixth and seventh graders. You need a special deck of cards, but it's an easy deck to make (edited, - ed.):

Ten cards with a "2" on them (or two fish)

Ten cards with a "3" on them (or three squid)

Eight cards with a "5" on them (or five eels)

Five cards with a "7" on them (or seven sea-slugs)

Two cards with a "11" on them (or eleven shrimp)

Each player draws four cards. They multiply their hand together, and announce only the product (!) to the group. They then play go-fish.

It's fun to watch the kids debate whether there's a strategy to the game. It's more fun to watch them work out the strategy once they decide that there is a strategy.

What's the strategy?


.: [MS Math], [Dan Meyer], [Understandings].

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Dan might not even remember this ...

How many different ways can you compare these two to decide that Dan is better?




How many different ways can you compare these two to decide that Mike is actually better? I think my pre-algebra came up with seven different ways to decide. 


.: [MS Math], [Dan Meyer], [Which Would You Choose?].