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Grade 4 - Claim 1 - Target J

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Mathematics

Target J

Represent and interpret data.

Sample Item

Grade 4

Test

Claim 1

Concepts and Procedures

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

Grade

Grade 4

Content Domain

Measurement and Data

Standards

MD-4
Supporting

Standards

  • MD-4

    Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in...

Clarifications

Tasks for this target will ask students to create or use a line plot and provide context for 4.NF Target G (specifically, addition and subtraction of fractions with like denominators).

Range Achievement Level Descriptors

Evidence Required

  • 1

    The student completes a line plot to display a data set of measurements in fractions of...

  • 2

    The student solves problems involving addition and subtraction of fractions with like denominators by using information...

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
  • Equation/Numeric

Allowable Stimulus Materials

line plots, tables, fractions of a unit (1/2, 1/4, 1/8)

Key/Construct Relevant Vocabulary

line plot, data set, interval, fractions, unit fractions, numerator, denominator, sum, difference, add, subtract

Allowable Tools

None

Target-Specific Attributes

Fractions of a unit are limited to denominators 1/2, 1/4, and 1/8. All contextual items should refer to objects that can be measured in fractions of a unit.

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

Creating a line plot from scratch (where the student must partition the number line, choose an appropriate scale, and label the scale accordingly) will be assessed in Claim 4. Solving two-step addition and subtraction...

Task Models

Task Model 1

  • Item Types

    Hot Spot

  • Depth of Knowledge

    M-DOK1

  • Standards

    MD-4

Target Evidence Statement

  • The student completes a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8).

  • Allowable Tools

    None

  • Accessibility Note

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

Task Description

Prompt Features: The student completes a line plot that displays a given data set of measurements in fractional units. Stimulus Guidelines: At least two whole number endpoints must be labeled on the scale of the line...

Stimulus

The student is presented with a data set of measurements in list or table format and a number line.

Example 1

Example Stem: Michelle measures the mass of the books in her desk. The list shows the mass of each book in pounds.

48,28,38,48,98,68,178,2\frac{4}{8}, \frac{2}{8}, \frac{3}{8}, \frac{4}{8}, \frac{9}{8}, \frac{6}{8}, 1\frac{7}{8}, 2

Click above a tick mark to complete the line plot that displays the data.

A number line shows the Mass of Books in pounds, ranging from 0 to 2 in increments of four-eighths with 3 unlabeled tick marks between each.

Rubric: (1 point) The student places all of the correct data points to complete the line plot with no incorrect or missing points (e.g., as shown below).

A number line shows the Mass of Books in pounds, ranging from 0 to 2 in increments of four-eighths with 3 unlabeled tick marks between each. 8 data points are plotted: second tick mark after 0; third tick mark after 0; four-eighths; four-eighths; second tick mark after four-eighths; first tick mark after 1; third tick mark after 1 and four-eighths; 2.