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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Structured Conversation Questions
Observational
What is an independent event?
An independent event is...Relational
How is an independent event different from a dependent event?
An independent event is different from a dependent event because...Inferential
How can you tell that two events are independent by analyzing the outcomes of a repeated experiment?
I can tell that two events are independent by analyzing the outcomes of a repeated experiment by...
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Students might notice in this visual:
- The probability of each event stays the same each time
- Different events are happening like flipping a coin or spinning
- The outcomes are recorded over many trials
- Event 1 does not change event 2
- Patterns repeat in the results
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 stay the same each time
- How can you tell the events are independent
- What patterns do you notice in the outcomes
- Why does one event not change another event
- How can you use results to make predictions
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 an independent event?
LOW-LEVEL
An independent event is when one event does not affect another.
HIGH-LEVEL
An independent event is when the outcome of one event does not change the probability of another 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.”
Melissa Stevens
Shouldn't event 1 be 1/2 since a coin has 2 sides?
10-19-25
Areli Amador
Thank you for your feedback! You're correct, the change has been made.
10-20-25