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Grade 6 - Claim 1 - Target I

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Mathematics

Target I

Develop understanding of statistical variability.

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-1SP-2SP-3

Standards

  • SP-1

    Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. For example, "How old am I?" is not a statistical...

  • SP-2

    Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.

  • SP-3

    Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a...

Clarifications

Tasks for this target will ask students to identify questions that lead to variable responses; identify a reasonable center and/or spread for a given context.

Range Achievement Level Descriptors

Evidence Required

  • 1

    The student recognizes a statistical question as one that anticipates variability.

  • 2

    The student identifies statements that describe the center and/or spread, and/or overall shape of a set of data.

  • 3

    The student recognizes that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary...

Item Guidelines

Depth of Knowledge

  • 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

  • Multiple Choice, single correct response
  • Matching Tables

Allowable Stimulus Materials

Dot/line plots, lists of numbers, tables, graphs, or other visual graphics to display a set of numbers

Key/Construct Relevant Vocabulary

variation (variability), interquartile range, range, mean absolute deviation, center, spread, mean, median, outliers, 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

Tasks for this target will ask students to identify and pose questions that lead to variable responses; identify a reasonable center and/or spread for a given context. In Grade 6, the focus on assessment...

Task Models

Task Model 1a

  • Item Types

    Multiple Choice, single correct response
  • Depth of Knowledge

    M-DOK2
  • Standards

    SP-1

Target Evidence Statement

  • The student recognizes a statistical question as one that anticipates variability.

  • Allowable Tools

    Calculator

Task Description

Prompt Features: The student is prompted to identify whether questions are statistical in nature based on whether they anticipate variability in the answer data. Stimulus Guidelines: Context should be familiar to students 11 to 13...

Stimulus

The student is presented with questions based on a statistical scenario.

Example 1

Example Stem: Julie is writing a report about rainbows and needs to gather data from her classmates.

Which is a statistical question Julie could ask her classmates?

A. What are the colors of the rainbow?

B. When was the first rainbow seen?

C. Is there really a pot of gold at the end of a rainbow?

D. How many rainbows have you seen this month?

Rubric: (1 point) Student selects the statistical question (e.g., D)