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Grade 06 Mathematics - EC: M06.D-S.1.1.3

Grade 06 Mathematics - EC: M06.D-S.1.1.3

Continuum of Activities

Continuum of Activities

The list below represents a continuum of activities: resources categorized by Standard/Eligible Content that teachers may use to move students toward proficiency. Using LEA curriculum and available materials and resources, teachers can customize the activity statements/questions for classroom use.

This continuum of activities offers:

  • Instructional activities designed to be integrated into planned lessons
  • Questions/activities that grow in complexity
  • Opportunities for differentiation for each student’s level of performance

Grade Levels

6th Grade

Course, Subject

Mathematics

Activities

  1. What does it mean if data has a gap?
  1. What does it mean if data has a cluster?
  1. Using the dot plot below, identify the following statements as true or false.
    1. There is a gap in the data.
    2. There is a peak in the data.
    3. The dot plot has a line of symmetry.

  1. How would you describe the shape of the histograms below?  Skewed right, skewed left, or symmetrical?  Explain.
    a.
    b.

  1. Create a list of data that would create a dot plot that would be skewed to the left.  Explain your answer.

Answer Key/Rubric

  1. Data has a gap if there is a part of data that is missing or if there is a large break in the values.
  1. Data has a cluster if a large amount of the values are in the same general spot on a graph. 
  1. Answers as follows:

a. False

b. True

c. False

  1. Acceptable answers may include, but are not limited to:

            a. The histogram is skewed to the right.

  • Right skewed data is bunched up toward the left and with a "tail" stretching toward the right.

            b. The histogram is symmetrical. 

  • A histogram is symmetrical when you draw a vertical line down the center of it and the two sides are identical in shape and size.
  • A histogram is perfectly symmetric if its right half is a mirror image of its left half.
  • Histograms that are not symmetric are referred to as skewed.
  1. Students’ data sets will vary.

    Properties of left skewed data include, but are not limited to:
  • Data has a long “tail” to the left.
  • The mean and the median are both less than the mode
  • Example table:
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