Gold Seal Lesson:
Correlation

Copernicus Education Gateway

 

Subject:

 

Mathematics

Grade:

 

 

9-12

 

 

 

ICLE Standards:

 

 

Algebra and Functions: Students use algebraic methods to explore, model, and describe patterns and functions involving numbers, shapes, data, and graphs in problem-solving situations.

Mathematics as Communication: Reflect upon and clarify thinking about mathematical ideas and relationships.

Statistics: Use data collection and analysis, statistics, and probability in problem-solving situations.

 

 

 

Performance Task:

 

 

Select two different ideas that will generate data that you believe to be either positively or negatively correlated. Your ideas should be useful and/or interesting. 

In your math journal, explain why you think this relationship is useful and/or interesting and explain your prediction about their correlation. 

Create a useful data collection sheet to collect data from each of your classmates. After collecting the data, make a well-labeled scatter plot which represents your data collection. If possible, draw a line of best fit for your collected data.

In your math journal, write a clear and concise analysis of your study. Include each of the
following:

  1. A description of your two ideas with a prediction concerning their correlation.

  2. Your scatter plot and the line of best fit for your scatter plot.

  3. An equation of your line of best fit.

  4. A description of how to use your line of best fit to find at least one other data point which falls outside the range of the data you collected.

  5. A discussion of the accuracy of your prediction.

  6. Anything else that you can infer or conclude from your study.

 

 

 

Knowledge / Skills:

 

 

Understand the best procedures for statistical data collection, organization, and display.  (m5)

Know the components and properties of the rectangular coordinate system, (i.e., x - y axis, origin, quadrants, abscissa (x-coordinate) and ordinate (y-coordinate), and the general representation of a point (x,y)).  (m23)

Know the equation of a line and interpret graphically using the slope-intercept form (i.e., y = mx+b), and the point-slope form (i.e., y-b = m(x-a)).  (m45)

Use writing as a tool for learning in formats such as learning logs, laboratory reports, note-taking, and journals.  (ela40)

 

 

 

Rubric:

 

 

Exemplary:

  • The student chooses appropriate topics which are useful and/or interesting.

  • The data collection sheet is well designed to collect data and the data are collected from all class members. 

  • The scatter plot is correctly labeled and plotted, and the line of best fit is correctly determined. 

  • The student makes a reasonable prediction about the correlation and describes the a accuracy of his/her prediction as a result of the data collection and analysis. 

  • The student is able to make inferences and conclusions from his/her study.

Proficient:

  • The student needs help in choosing appropriate topics which are useful and/or interesting. -He/she needs help throughout the task. All parts of the task are completed, but the work is not as well organized and presented as it should be. 

  • The student has trouble determining the line of best fit, indicating a lack of conceptual understanding. 

  • The student makes a reasonable prediction about the correlation of his/her ideas, but has difficulty relating this prediction to his/her findings. The student makes at least one inference or conclusions from his/her study.

Unacceptable:

  • The student is unable to complete the task. He/she demonstrates a lack of understanding of the major concepts included in the task. 

  • He/she is unable to design an effective study; hence, he/she does not carry out the main components of the task. 

  • His/her journal entry is vague and meaningless. 

  • No inferences or conclusion are made.

 

 

 

Keywords:

 

 

ALGEBRA
COORDINATES
MATRIX / MATRICES
PROBLEM SOLVING

STATISTICS
PREDICTION
COMPUTATION
CORRELATION

 

 

 

Grades:

 

 

Kg [] - 1 [] - 2 [] - 3 [] - 4 [] - 5 [] - 6 [] - 7 [] - 8 [] - 9 [X] - 10 [X] - 11 [X] - 12 [X]

 

 

 

ICLE Application:

 

 

D

 

 

 

 

 

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