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Square Partitions

26
skips
74
questions

Act One

• Dan Meyer

January 08, 2012

What are the new percentages?

Act Three

Sequel

• 1.

Currently, the right side is divided at 1/n where n = 2. What happens to the regions if n = 3, 4, or we let n approach infinity?

### show 74 more questions

• Timon Piccini

January 09, 2012

What are the new percentages?

• Dan Anderson

January 18, 2012

What are the % of the areas now?

• Ben Rimes

January 22, 2012

If the one side of the square has been split into two equal parts, are two of the angles equal as well?

• Avery

January 23, 2012

When will one area be twice its opposite area?

• Nico Rowinsky

January 23, 2012

What are the new percentages?

• David Petersen

January 23, 2012

What are the numbers in the black boxes?

• Max Ray

January 27, 2012

What are the %s now?

• Terry Kaminski

January 28, 2012

What % of the total area is in each region?Is there a relationship between location of diagonals and area?

• Alex Alemi

January 28, 2012

What are the percents now?

• Evan Weinberg

January 28, 2012

What percentage of the area is contained within each region?

• Lori Akahoshi

January 29, 2012

What happened to the numbers? Not where did they go...what did they change to?

• Mike Steele

January 29, 2012

At what rate do each of the four percentages change when you move the point?

• • Bryan Hartman

January 30, 2012

Which two areas now make 50% of the square?

• Patrick Brandt

February 01, 2012

What are the new percentages?

• Susan Lenane

February 01, 2012

As the line moves down a side, does the area of the four regions grow/decline proportionally?

• jeanette stein

February 01, 2012

Is there a pattern?

• Valerie Higgins

February 02, 2012

What percent of the larger square is each polygon?

• Matt Vaudrey

February 03, 2012

What is the area of each region?

• Arno van Meurs

February 04, 2012

What percentages do the parts have now?

• Carl Edgren

February 05, 2012

Is there a proportionality to the areas?

• February 05, 2012

What are the percentages now?

• February 06, 2012

what are the ratios now?

• Paul Pavlou

February 06, 2012

What are the new percentages?

• David Petro

February 08, 2012

Is there a relationship between the areas now?

• Estee Williams

February 11, 2012

How do the percents change?

• phil aldridge

February 15, 2012

What is the percentage of each partition?

• Chris Sears

February 16, 2012

What percentage of the area is in each box?

• Marc Garneau

February 21, 2012

Which area changes at the fastest rate as the point on the right moves down. Determine the rate of change for each.

• Ricardo Monge

February 26, 2012

What is the new rate?

• James Cleveland

March 06, 2012

What percentage of the square is each triangle?

• March 11, 2012

What are the new percentages?

• Bob Lochel

March 12, 2012

What is the proportion in area for each section?

• Tom Carson

March 19, 2012

What are the new percentages?

• Joey Kramer

March 20, 2012

How much space is taken up by each section?

• David Foster

March 20, 2012

How do I calculate the percentages inside the second set of triangles?

• Ashley Lamar

March 20, 2012

What are the new percents?

• Charity Hobbs

March 20, 2012

What are the new percentages? How did you make that video?y

• James Belyea

March 20, 2012

what are the percents?

• Phillip Ehresmann

March 20, 2012

What percent of the area of the square is each region now?

• Jeff de Varona

March 21, 2012

What are the new percentage breakdowns?

• Michael Lomuscio

March 23, 2012

What are the new percentages?

• Drew

March 23, 2012

How will this help me in real life?

• James C.

March 26, 2012

What are the percentages of the areas?

• Mackenzie Bewarder

March 27, 2012

How do you determine the area of the 4 quadrants?

• Jessica Franklin

March 30, 2012

Why is only one line changing?

• James Toner

March 30, 2012

What are the new percents?

• Elaine Watson

April 03, 2012

What are the % of areas?

• Nathan Kraft

April 09, 2012

What are the new percents/areas after the line has been moved down? Cool graphics.

• Steven Shirley

April 13, 2012

Each region makes up what percent of the area of the square?

• James McKee

April 20, 2012

What percent of the area is in each region?

• Stuart Cork

April 28, 2012

how long will it take my students to solve this problem?

• kris10 brez

April 28, 2012

why did only one diagonal move?

• Candice Director

April 29, 2012

What are the new percentages of area?

• Kelly Zinck

April 30, 2012

What are the precentages now?

• Michael Mathews

May 03, 2012

What are the new percents?

• Ken Meehan

May 07, 2012

How do I solve this most efficiently? Use coordinate geometry?

• Scott Farrar

May 12, 2012

how big is each section? sidenote: this is a highly refined digital question. Creation of these things > online versions of textbooks.

• Andrew

May 14, 2012

how do the area percentages change relate to the changing vertices?

• John Scammell

May 15, 2012

What are the new percentages?

• Mike Borgendale

May 15, 2012

What percentage are the respective triangles?

• Ryan Brown

May 16, 2012

What are the percentages now?

• Jake Jouppi

May 22, 2012

what percent is each now?

• Jim Anderson

May 24, 2012

What percent is each region?

• May 25, 2012

what is the length of one of the equivalent line segments?

• Tony Alteparmakian

May 27, 2012

What's the size of each area as a percentage of the size of the square?

• Andrew Browning-Couch

May 27, 2012

How do the areas change as the endpoint of the diagonal moves? (honestly intriguing!)

• ldh

May 29, 2012

what are the new percentages

• Tim Canty

June 03, 2012

Can we use an area formula to solve this problem?

• Simon Clough

June 03, 2012

Are the areas of the shapes changing at the same rate?

• Lynden Chester

June 12, 2012

What are the new percentages?

• Matthew Sauter

June 12, 2012

Is this easier to solve given one of the percentages of the final image?

• Andrea Weiss

June 16, 2012

What is the rate of change of the area of each polygon?

• Joe

January 16, 2013

What percentage of the total area is each triangle?