Applications
Probability
Vertical Alignment
TEKS:
| 7th | 7.6(A)7.6(B)7.6(E)7.6(I)7.6(C)7.6(D)7.6(F)7.6(H) |
| Geom | G.13(B)G.13(C)G.13(D)G.13(E) |
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Lesson Materials
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Teacher Guide
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Leveled Reading Passages
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Google Drive
Structured Conversation Questions
Observational
What is a dependent event?
A dependent event is...Relational
How is a dependent event related to compound probability?
A dependent event is related to compound probability because...Inferential
Why do you think putting the marble back makes the event no longer dependent?
I think putting the marble back makes the event no longer dependent because...
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Students might notice in this visual:
- The number of marbles changes after one is removed
- The probability changes from 1 out of 4 to 1 out of 3
- The first event affects what happens in the second event
- The marble is not replaced
- The total number of items decreases after the first draw
EXTENDING THE DISCUSSION
After the observational question, randomly call on one or more students to share what they or their partner answered. Then ask the class, “Did anyone notice…?” using the suggestions above or anything else you’ve noticed.
After the observational question, randomly call on one or more students to share what they or their partner answered. Then ask the class, “Did anyone notice…?” using the suggestions above or anything else you’ve noticed.
Students might wonder:
- Why does the probability change after removing a marble?
- What would happen if the marble was put back?
- How do we know if an event is dependent or independent?
- Does the first event always affect the second event?
- How can we calculate probabilities for multiple events?
EXTENDING THE DISCUSSION
After students have shared what they notice, ask the class, “Did anyone wonder…?” using the suggestions above or anything else you might think is interesting or relevant to the lesson.
After students have shared what they notice, ask the class, “Did anyone wonder…?” using the suggestions above or anything else you might think is interesting or relevant to the lesson.
Example student responses
To the observational question, What is a dependent event?
LOW-LEVEL
A dependent event is when what happens first changes what happens next.
HIGH-LEVEL
A dependent event is when the outcome of one event changes the probability of the next event.
RESPONDING TO RESPONSES
Emphasize and celebrate each student’s use of the key vocabulary to support a culture of “no wrong answers.”
Emphasize and celebrate each student’s use of the key vocabulary to support a culture of “no wrong answers.”