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Stacking Cups - Act 1

34
skips
66
questions

Act One

• February 23, 2013

How many cups does it take for the stacks to be equal in height?

Act Two

• Teacher note
The pictures include the height of each cup as well as the "lip" measurement. There are many ways to solve this task: functions, equations, tables, graphs, etc. Encourage any of these problem-solving strategies, and freely share (student work) all of them with the class.
If using functions (slope-intercept), the lip is the slope (constant rate of change), but how will your students determine the y-intercept? Will it be the entire height of the cup or will it just be the handle (cup height minus lip). Let students use either one. Compare the differences.
If students make a table, encourage them to use Excel or some other spreadsheet. Write a rule and test it out.
Encourage students to use Desmos.com in order to graph the rule/function they came up with and see what it looks like graphically. What does the point of intersection look like? What does it mean? What does the x-value mean? the y-value?
• ImageStacking Cups - Act 2 pic1
• ImageStacking Cups - Act 2 pic2

Act Three

Sequel

show 66 more questions

• Marc Garneau

February 23, 2013

How many cups of each to make them have the same height?

• Fawn Nguyen

February 23, 2013

How many cups of each to reach even height?

• Evan Weinberg

February 24, 2013

How many cups are in each stack when they are equal?

• Nora Oswald

February 24, 2013

How many cups so their the same height?

• Dan Meyer

February 25, 2013

Where will they tie?

• James Taschek

February 25, 2013

How many of each?

• Nate Hochmuth

February 25, 2013

When does the white foam cup overtake the blue cup?

• Timon Piccini

February 25, 2013

How many cups does it take for those to be equal?

• Robert Kaplinsky

February 25, 2013

How many cups until they are equal heights? How much of a head start will the blue cup need to catch up to the white cup in step N?

• Edwin Ulmer

February 26, 2013

How many cups are on each stack?

• Ryan Brown

February 28, 2013

How many of each?

• Max

March 03, 2013

When (if) will they meet?

• Amber Keppel

March 09, 2013

How many cups are in each stack?

• Chris Robinson

March 09, 2013

How many cups of each will yield an equal height?

• phil aldridge

March 09, 2013

How many cups make it even? (Slick video!)

• Ginny Brackett

March 09, 2013

How many to equal?

• Gregory Taylor

March 09, 2013

By how much were they a winner?

• Nathan Kraft

March 10, 2013

How many cups are in each stack?

• March 11, 2013

It would be fun to have students design their own cup. What would a cup look like that beat the blue cup in half the time? etc...

• Michael Pershan

March 12, 2013

When are they the same height?

• Nick

March 25, 2013

How many cups make the heights equal?

• Helen Vidal

April 11, 2013

How many cups does it take for white to overtake?

• Matthew Rowe

April 13, 2013

How many cups!?

• Brian

April 15, 2013

What is a win?

• Magdalena Vazquez

April 20, 2013

What part is being measured?

• April 23, 2013

How do adding cups to the stack impact the height?

• beth alsberg

April 24, 2013

How many cups will be in each stack when the stacks are of equal height?

• Ken Meehan

May 05, 2013

What are the slopes and y-intercepts of the graphs?

• Jim Anderson

May 23, 2013

How many cups will make each of these the same height? BTW- super video

• Mark Roddy

June 05, 2013

Why didn't I think of this one?!

• Jon Orr

June 17, 2013

How many cups make them equal

• Simon Purdue

July 15, 2013

When will they be equal?

• • Anna Wilson

July 25, 2013

What is the linear equation for both, and when are they the same (system of equations)

• Simon Job

August 08, 2013

At how many cups are the stacks equal in height?

• Katherine Hawkins

August 10, 2013

How many white cups and blue cups will it take for the stacks to be equal height?

• Heather McMaster

August 10, 2013

After how many cups are the piles the same height?

• Kim Broshar

August 13, 2013

How many cups are in the stack when it is equal?

• Matthew Sanders

August 14, 2013

When will the two stacks of cups be the same height?

• Jennifer Ray

August 20, 2013

How many cups does it take for them to be equal in height?

• August 22, 2013

what is the size of each cup?

• Lewelyn

August 22, 2013

How many more of the white than blue?

• Janice Watson

August 28, 2013

when are the cups equal?

• Dominic Franklin

August 29, 2013

When will the stack heights be equal?

• Isso Shimamoto

September 01, 2013

When do the white cups win?

• Jim Eberle

September 02, 2013

What is the question to solve

• Shawn Hershey

September 05, 2013

How many cups are there for each?

• Niccole Franc

September 05, 2013

When will the heights of the cups be equal?

• Jill Perry

September 08, 2013

When are the stacks the same height?

• Taylor Baldridge

September 10, 2013

What are the rules?

• Emily Slack

September 14, 2013

What equation can you use to represent the height of the cups?

• Jenna Murfree

September 21, 2013

How many of each type will it take for the stacks to be at the same height?

• Annie Evans

September 23, 2013

Which cup is taller

• Kim Seymour

September 24, 2013

What are the dimensions of each base?

• Jonathan Newman

September 29, 2013

At how many cups are they equal?

• Jasper DeAntonio

October 03, 2013

How many cups to make them equal?

• jo nelson

October 13, 2013

how many cup to get equal height?

• etan liron

October 16, 2013

how many cups are there?

• Rob Knight

October 16, 2013

How many blue cups were finally used?

• Amber Brewer

October 21, 2013

how does the smaller cup make a taller tower?

• Donald A Ball

October 22, 2013

hHOW MANY CUPS MAKES THE STACKS THE SAME HEIGHT?

• Gary Chu

October 23, 2013

When are the two stacks (approximately) equal in height?

• Ms. Ceaser's Class

October 24, 2013

How is it bigger? How can that be? How many cups did it take to make even heights? What is the volume of each cup? Where is this located?

• Scott Feistel

October 28, 2013

How many of each cup when the stacks are equal?

• Lisa Handyside

October 29, 2013

At what point are they the same?

• Seth Leavitt

October 29, 2013

How many white cups and blue cups yield the same height?