Sorting Disjoint Sets and Intersecting Sets

Task 1

• Sort the objects into groups.
• Explain what you are doing.
• Put yarn around the groups and explain how you decide to put the yarn.
• Response
• Sorts objects into groups according to one property for each object (all yellow, all blue… or squares, circles…). Uses the category of "other".
• Sorts objects into groups according to two properties for one object (big squares, little squares…).

Task 2

• Sort the objects another way?
• Put yarn around two categories that are completely different
• Response
• Sorts objects into unique groups.
• Sorts objects by one property (color).
• Sorts objects by two properties (color and shape).
• Sorts objects by three properties (color, shape, size).

Task 3

• Form the yarn so that there are two circles that overlap.
• Put an object in one of the circles.
• Put another object into the other circle.
• Can you find something that could fit in both circles.
• If so, where would it go?
• If not, can you change the groups so they could.

Response

• Sorts objects into unique groups.
• Identifies objects by using more than one property.
• Sorts objects by using more than one property.
• Sorts objects by using intersecting groups.

Tasks Summary

• Can sort by one property
• Can sort by two properties.
• Can sort by three properties.
• Can represent disjoint groups.
• Can represent groups that intersect.

Dr. Robert Sweetland's notes
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