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Coins in a Circle

68
skips
32
questions

Act One

• Danny Whittaker

February 15, 2013

How many coins to fill the rug?

Act Two

• Teacher note
Actually, the size of the coin is not really as important in this stage as in the sequel later on.

â€¢ Diameter of a 10-cent Singapore coin = 18.5 mm

â€¢ Diameter of black rug = 22 inches

Method is to have students used various sizes of circles and work out how many coins will fit into these sizes, then build a quadratic model for the data. Building the model can be done using a spreadsheet program or any other process, but the hope is that students recognize that the data is NOT linear.
• ImageCoin is 18.5mm = 0.728 inches
• ImageRug is 22 in = 558.8 mm

Act Three

### show 32 more questions

• Dan Meyer

February 17, 2013

How many coins will cover that table?

• Peter Ney

February 21, 2013

Why is it when we have more area do round objects fit inside? What would happen if we used dimes?

• Becky

March 28, 2013

How much money is in that box?

• Jim Anderson

May 14, 2013

How many quarters are in the box?

• May 28, 2013

How many coins will fit inside the circle?

• Tina Palmer

May 28, 2013

How much does it weigh?

• Marti Shirley

June 01, 2013

Are there only silver coins

• Blake HIneman

September 18, 2013

How does the area in coins relate as the circles get bigger?

• • wwndtd

October 23, 2013

How many dimes will fit in the big circle?

• October 25, 2013

How much would the box weigh if it were full of quarters?

• Kristi Hull

November 01, 2013

How many quarters will fill the table?

• • Joe

January 22, 2014

How many jar lids could that money fill?

• Justin Wong

January 31, 2014

How much money is in there?

• Lee Ann Dalton

February 16, 2014

What's the radius of a quarter, and do you use that to figure out how many quarters around you can fit if you know the lid's circumference?

• D. Hartmann

June 01, 2014

What is the relationship of circumference to the amount of coins?

• Josh Deery

July 02, 2014

How would you model this sequence?

• Jason Choi

July 05, 2014

What pattern changes can you identify as the size of the container increases?

• Elizabeth Kerns

August 21, 2014

How long does it take to fill the large circle?

• Nicola Petty

October 22, 2014

Oh my word! How long would it take to cover the big black circle?

• Denise Abbas

November 14, 2014

What is the diameter of that lid?

• • Amanda Larrivee

March 07, 2015

How much money is this?

• Valerie Henry

April 16, 2015

How much money can he/she grab in one fist?

• Brenda Fogle

April 21, 2015

What is the total value of these coins?

• HIlary Carlson

August 30, 2015

How much money is that?

• Arvidas Anderson

September 09, 2015

how much money is that

• Maria Ellis

October 11, 2015

What is the purpose of this activity? It does not use area of circle formula - because of so much opened areas...

• matthew

October 27, 2015

so much change

• Nicole Muth

December 21, 2015

What is the ratio of the value of the coins in the small circle to the medium circle?

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