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Grade 4 - Claim 1 - Target B

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Mathematics

Target B

Gain familiarity with factors and multiples

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

Operations and Algebraic Thinking

Standards

OA-4
Supporting

Standards

  • OA-4

    Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in...

Clarifications

Tasks for this target will ask students to find factor pairs and determine whether a whole number (1–100) is a multiple of a given one-digit number and whether a whole number (1–100)...

Range Achievement Level Descriptors

Evidence Required

  • 1

    The student determines one or more factors or factor pairs for a given whole number (from 1 to 100).

  • 2

    The student recognizes that a whole number (from 1 to 100) is a multiple of each of its factors.

  • 3

    The student determines if a whole number (from 1 to 100) is a multiple of a given one-digit number.

  • 4

    The student determines if a whole number (from 1 to 100) is prime or composite.

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

  • Multiple Choice, single correct response
  • Drag and Drop
  • Fill-In Table
  • Equation/Numeric
  • Hot Spot
  • Matching Tables

Allowable Stimulus Materials

whole numbers from 1 to 100, tables, lists, sets, 100s chart

Key/Construct Relevant Vocabulary

whole number, prime, composite, factor, factor pair, multiple

Allowable Tools

None

Target-Specific Attributes

Numbers used in this target must be in the range 1 to 100.

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

None

Task Models

Task Model 1a

  • Item Types

    Multiple Choice, single correct response

  • Depth of Knowledge

    M-DOK1

  • Standards

    OA-4

Target Evidence Statement

  • The student determines one or more factors or factor pairs for a given whole number (from 1 to 100).

  • Allowable Tools

    None

Task Description

Prompt Features: The student is prompted to identify factors of a whole number. Stimulus Guidelines: All of the number’s factors (or factor pairs) should be included in the key; distractors will include the same number of...

Stimulus

The student is presented with a whole number and lists of whole number factors.

Example 1

Example Stem: Which list has all of the factors of 36?

A. 1, 2, 3, 4, 6, 9, 12, 18, 36

B. 1, 2, 3, 6, 8, 9, 12, 16, 36

C. 1, 2, 4, 6, 8, 9, 16, 18, 36

D. 1, 2, 3, 5, 6, 9, 12, 18, 36

Rubric: (1 point) The student identifies the correct list (e.g., A).