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Grade 3 - Claim 1 - Target H

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Mathematics

Target H

Represent and interpret data.

Sample Item

Grade 3

Test

Claim 1

Concepts and Procedures

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

Grade

Grade 3

Content Domain

Measurement and Data

Standards

MD-3MD-4

Standards

  • MD-3

    Draw a scaled picture graph and a scaled bar graph to represent a data set with...

  • MD-4

    Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch....

Clarifications

Tasks associated with this target should involve using information presented in scaled bar graphs to solve one- and two-step “how many more” and “how many less” problems. Technology might be used to enable students...

Range Achievement Level Descriptors

Evidence Required

  • 1

    The student creates a scaled picture graph and a scaled bar graph to represent a data set with up to four categories.

  • 2

    The student solves one-and two-step “how many more” and “how many less” problems using information presented in scaled bar graphs.

  • 3

    The student generates measurement data by measuring lengths using rulers marked with halves and fourths of an inch and makes a line plot with fractional measurement values.

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

  • Hot Spot
  • Equation/Numeric

Allowable Stimulus Materials

scaled bar graph, scaled picture graph, and line plot

Key/Construct Relevant Vocabulary

scaled bar graph, scaled picture graph, line plot

Allowable Tools

None

Target-Specific Attributes

Line plots can be marked off using fractional units of halves and quarters as well as whole numbers.

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

Items where students are required to generate measurement data and make a line plot (per CCSS 3.MD.B.4) will be covered in Claims 2 and 4.

Task Models

Task Model 1a

  • Item Types

    Hot Spot
  • Depth of Knowledge

    M-DOK2
  • Standards

    MD-3

Target Evidence Statement

  • The student creates a scaled picture graph and a scaled bar graph to represent a data set with up to four categories.

  • 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 is prompted to generate a scaled picture graph or a scaled bar graph. Stimulus Guidelines: Follow any stated guidelines on allowable number ranges. Scaled picture graphs and bar graphs should be equally distributed...

Stimulus

The student is presented with a data set with two to four categories.

Example 1

Example Stem 1: Marco and Beth each read the number of books shown.

Student Number of Books Read
Marco 12
Beth 21

Click in each row to create a picture graph that shows the number of books each student read.

A blank picture graph is shown listing each Student, Marco and Beth, and the Number of Books Read. The Key shows each picture of a book represents 3 books.

Rubric: (1 point) The student creates a picture or a bar graph to show the correct number for each category of data (e.g., shown below).

A picture graph is shown listing each Student, Marco and Beth, and the Number of Books Read. The Key shows each picture of a book represents 3 books. Marco: 4 books. Beth: 7 books.

Example 2

Example Stem 2: Four students read the number of books shown.

Student Number of Books Read
Bob 15
Lisa 50
Nancy 25
Juan 40

Click in each column to create a bar graph that shows the number of books that each student read.

The title of the blank bar graph is Books Read. The horizontal axis is Students: Bob, Lisa, Nancy, and Juan. The vertical axis is Number of Books Read, ranging from 0 to 50 in increments of 10.

Rubric: (2 points) The student creates a picture or a bar graph to show the correct number for each category of data (e.g., shown below).

(1 point) The student creates a picture or bar graph to show the correct number for all but one category and the single error is in the level of precision (off by one scaled unit), not in understanding.

The title of the bar graph is Books Read. The horizontal axis is Students: Bob, Lisa, Nancy, and Juan. The vertical axis is Number of Books Read, ranging from 0 to 50 in increments of 10. Bob: 15 books. Lisa: 50 books. Nancy: 25 books. Juan: 40 books.