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Estimathon!

Get all of these files

https://bit.ly/CRMTC-Est

Thank you to Chris Bolognese

and Lynn Aring for many of these slides and files

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On Estimating

Often in math and science, the goal is to give an exact, precise answer...

But other times it is good enough to have an approximate guess of a result.

A good guess involves a MINIMUM number and a MAXIMUM number, with the true answer somewhere in between.

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Estimathon Scoring

Each correct question scores

(max / min) rounded up

You want the lowest score

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Example

How many traffic signals are there in New York City?

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Example

��The ratio of 20000 to 8000 is 2.5 or when rounded up, 3.

The actual amount is 12460 so our answer is in the interval! This guess would then score 3.

MINIMUM: 8000�MAXIMUM: 20000

12460

*

8000

20000

If we instead guessed 10000 to 16000, still with the right answer in between, then that ratio is 1.6 rounded up to 2. This is a better score!

Note the guess 10000 to 12000 still would have a rounded ratio of 2, but you would get this wrong because the right answer is not in the interval!

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The Scoring

Your team will be given 8 estimation problems and will have 30 minutes to work on the problems using whatever strategy you wish.

Your Score:

Basically, the smaller correct ratio in each guess the better the score!

Keep in mind that unless you guess PERFECTLY, a ratio of 2 is the best score you can get for one problem. How does this help your strategy?

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The rules

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The Rules

You will get little slips for your submissions. Be sure that each slip has your team name, problem number circled, and your min and max.��You will get a total of 12 submission slips for 8 problems. This means you can submit more than once for a given problem. You can submit at ANY TIME.

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The Rules

We will attempt to grade the problems in real time.

If you decide to re-submit an answer, only the last submission will be counted toward your final score. Be careful! This means you can choose to re-submit to refine your ratio but in doing so, you might mess up!

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Let’s Go!

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Get all of these files

https://bit.ly/CRMTC-Est

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Let’s Make More Questions!

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Question Types

Content

Mathematics curriculum topics

  • Geometry
  • Number Sense
  • Functions

Common everyday items or knowledge

More esoteric topics

Challenge

We can make a pretty good guess at this without a lot of discussion

With discussion, we can coalesce on a pretty good guess

We would struggle to even get a pretty good idea of this

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The WONDERs

  • Category 1: We are pretty sure we can solve this.

  • Category 2: With enough work, we think we can solve this.

  • Category 3: We don’t know whether we can solve this.

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Our Questions!

How many cows are in Ohio? 1.24 million

How much does does the largest African elephant weigh? 24,000 lbs

How many named Atlantic hurricanes hit the US up to 2022? 305

How many times has Cleveland won the World Series 2

How many National Parks are there? 63

How many tablespoons are in a gallon? 256

How many miles long is the Lake Erie shoreline? 871

How many three-digit number add up to 12? 66