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Grade 7 - Claim 1 - Target H

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Mathematics

Target H

Draw informal comparative inferences about two populations.

Sample Item

Grade 7

Test

Claim 1

Concepts and Procedures

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

Grade

Grade 7

Content Domain

Statistics and Probability

Standards

SP-3SP-4

Standards

  • SP-3

    Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring...

  • SP-4

    Use measures of center and measures of variability for numerical data from random samples to draw...

Clarifications

Tasks for this target will require students to make informal inferences about two populations based on measures of center and variability.

Range Achievement Level Descriptors

Evidence Required

  • 1

    The student makes comparisons between two numerical data distributions.

  • 2

    [Retired Evidence Required statement]

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

  • Matching Tables

Allowable Stimulus Materials

lists, tables, dot plots, histograms, box plots, and other data displays

Key/Construct Relevant Vocabulary

numerical data distribution, center, variability, random sample, comparative inference, mean, median, mean absolute deviation, range, interquartile range

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

Much of the evidence for 7.SP.B will be assessed in Claim 4.

Task Models

Task Model 1

  • Item Types

    Matching Tables
  • Depth of Knowledge

    M-DOK2
  • Standards

    SP-3

Target Evidence Statement

  • The student makes comparisons between two numerical data distributions.

  • Allowable Tools

    Calculator

Task Description

Prompt Features: The student is prompted to informally assess the degree of visual overlap of two numerical data distributions. Stimulus Guidelines: Context must be familiar to students 12–14 years old. Visual displays should be dot plots, histograms,...

Stimulus

The student is presented with two numerical data distributions with similar variability.

Example 1

Example Stem: The box plot shows a summary of test scores for Class A and Class B on the same exam. Both classes have the same number of students.

Two box plots are shown along a number line labeled Test Scores ranging from 66 to 98. Class A: the whiskers range from 68 to 95. the box ranges from 78 to 92. The median is 85. Class B: the whiskers range from 71 to 96. The box ranges from 79 to 93. The median is 90.

Determine whether each statement is true based on these box plots. Select True or False for each statement.

Statement True False
In each class, at least 25% of students scored below 80 on the test.
The median test score of Class B is 5 points less than the median test score of Class A.
In each class, more than 25% of students have test scores greater than 90.

Rubric: (1 point) Student correctly identifies each statement as true or false (e.g., T, F, T). False statements could include incorrect interpretations of the measures of variability.