A1.D.2.2 Describe the concepts of intersections, unions, and complements using Venn diagrams to evaluate probabilities. Understand the relationships between these concepts and the words AND, OR, and NOT.
In a Nutshell
Students will use a Venn diagram to display data to understand intersection is the elements in common, union is all the elements and the complement is the elements not in a specific sample. Students will use these to evaluate the probability of an event.
Student Actions
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Teacher Actions
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- Pose purposeful questions for students to distinguish between intersection and union.
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Use and connect mathematical representations between a Venn diagram and the calculation of the probability an event by using intersection, union or complement of the data as appropriate.
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Encourage productive struggle as students explore and discuss the difference between intersection and union.
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Key Understandings
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Misconceptions
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Students will interchange the use of the words "and" and "or"
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Students confuse when to add and multiply the probability.
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Students misinterpret the complement as the element(s) that lie outside of the given set.
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Students do not understand the null set is empty.
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Student confuse the notations for union and intersection.
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OKMath Framework Introduction
Algebra 1 Introduction
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