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Grade 6 - Claim 1 - Target J

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Mathematics

Target J

Summarize and describe distributions

Sample Item

Grade 6

Test

Claim 1

Concepts and Procedures

Students can explain and apply mathematical concepts and carry out mathematical procedures with precision and fluency.

Grade

Grade 6

Content Domain

Statistics and Probability

Standards

SP-4SP-5SP-5aSP-5bSP-5cSP-5d
Supporting

Standards

  • SP-4

    Display numerical data in plots on a number line, including dot plots, histograms, and box plots.

  • SP-5

    Summarize numerical data sets in relation to their context, such as by:

  • SP-5a

    Reporting the number of observations.

  • SP-5b

    Describing the nature of the attribute under investigation, including how it was measured and its units of measurement.

  • SP-5c

    Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with...

  • SP-5d

    Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.

Clarifications

Tasks for this target will ask students to create number lines, dot plots, histograms, and box plots. The reporting of quantitative measures (median and/or mean, interquartile range and/or mean absolute deviation) may be included...

Range Achievement Level Descriptors

Evidence Required

  • 1

    The student displays numerical data on line plots, dot plots, histograms, and box plots.

  • 2

    The student summarizes numerical data sets by describing the nature of the attribute under investigation, including how it was measured, its units of measurement, and number of observations.

  • 3

    The student summarizes numerical data sets by determining quantitative measures of center (median and/or mean) and variability (interquartile range, range, and/or mean absolute deviation).

  • 4

    [Retired Evidence Required statement]

  • 5

    [Retired Evidence Required statement]

Item Guidelines

Depth of Knowledge

  • M-DOK1

    Recall includes the recall of information such as fact, definition, term, or a simple procedure, as well as performing a simple algorithm or applying a formula. That is, in mathematics a one-step, well-defined, and straight algorithmic procedure should be...

  • M-DOK2

    Skill/Concept includes the engagement of some mental processing beyond a habitual response. A Level 2 assessment item requires students to make some decisions as to how to approach the problem or activity, whereas Level 1 requires students to demonstrate a...

Allowable Item Types

  • Hot Spot
  • Drag and Drop
  • Multiple Choice, single correct response
  • Equation/Numeric

Allowable Stimulus Materials

number line diagrams, dot plots, histograms, box plots

Key/Construct Relevant Vocabulary

variability, interquartile range, range, mean absolute deviation, outliers, center, spread, mean, median, shape (pertaining to statistics such as gap, cluster, peak, skew, bell curve, and uniform distribution)

Allowable Tools

Calculator

Target-Specific Attributes

None

Accessibility

Item writers should consider the following Language and Visual Element/Design guidelines [1] when developing items. Language Key Considerations: Use simple, clear, and easy-to-understand language needed to assess the construct or aid in the understanding of the...

Development Notes

In Grade 6, the focus on assessment for the SP standards should be in Claim 4. The most important concept is distribution, which is a foundational idea for all future statistical work. Other concepts...

Task Models

Task Model 1a

  • Item Types

    Hot Spot

  • Depth of Knowledge

    M-DOK2

  • Standards

    SP-4

Target Evidence Statement

  • The student displays numerical data on line plots, dot plots, histograms, and box plots.

  • Allowable Tools

    Calculator

  • Accessibility Note

    Hot Spot items are not currently able to be Brailled. Minimize the number of items developed...

Task Description

Prompt Features: The student is prompted to generate line plots, dot plots, histograms, or box plots that represent a set of numerical data. Stimulus Guidelines: If used, context should be familiar to students 11 to 13...

Stimulus

Students create a dot plot given a data set.

Example 1

Example Stem: The ages of 9 students in a summer camp are shown.

10 11 12
9 8 9
11 9 8

Click above the number line to create a dot plot for the data set.

A number line ranging from 7 to 13 is shown.

Interaction: The student is given a labeled number line. Student uses the Hot Spot tool to click spaces above the number line to create a dot plot.

Rubric: (1 point) Student correctly creates a dot plot to represent the data (see below).

num line