Applications
Algebraic Modeling
Vertical Alignment
TEKS:
| 8th | 8.5(C)8.5(D)8.11(A)8.11(B) |
| Alg 1 | A.2(A)A.2(B)A.2(C)A.2(E)A.2(F)A.2(G)A.3(A)A.3(B)A.3(C)A.3(E)A.4(A)A.4(B)A.4(C)A.12(A)A.12(B)A.12(C)A.12(D) |
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Structured Conversation Questions
Observational
What is a correlation strength?
Correlation strength is...Relational
How is correlation strength related to a trend line?
Correlation strength is related to a trend line because...Inferential
How do you think the strength of the correlation helps us see the pattern between variables?
I think the strength of the correlation helps us see the pattern between variables by...
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Students might notice in this visual:
- There are three different graphs.
- There is a line labeled "trend line."
- Some dots are close together, some are spread out.
- One graph has dots all over the place.
- There are pictures of clocks, shoes, and grades.
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 don't some dots follow the line?
- How do you know if it's weak or strong?
- Why does the shoe size graph have no pattern?
- Does a trend line have to be straight?
- Can things be related but have no correlation?
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 correlation strength?
LOW-LEVEL
Correlation strength is how close the dots are to the line. If they are close, it is strong. If they are spread out, it is weak.
HIGH-LEVEL
Correlation strength is how close the dots on a graph are to the trend line. If the dots stay close to the line, the correlation strength is strong. If the dots are spread far apart, the correlation strength is weak.
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.”
