Stacking Cups  Act 1
skips
questions
Act One
Act Two
 Teacher noteThe 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 problemsolving strategies, and freely share (student work) all of them with the class.
If using functions (slopeintercept), the lip is the slope (constant rate of change), but how will your students determine the yintercept? 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 xvalue mean? the yvalue?  ImageStacking Cups  Act 2 pic1
 ImageStacking Cups  Act 2 pic2
Act Three
Sequel
 1.
What's the height of the cups when they're even?
 ImageStacking Cups  Sequel1 Answer
 2.
There's 50 blue cups. Thereâ€™s only 1 white cup. Continue adding 1 cup to each stack. At what height will the white cups reach the blue cups?
 ImageStacking Cups  Sequel.012
show 66 more questions









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?










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...








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







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


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
















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











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?



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