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Grade 4 - Claim 1 - Target A

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Mathematics

Target A

Use the four operations with whole numbers to solve problems.

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-1OA-2OA-3

Standards

  • OA-1

    Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as...

  • OA-2

    Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive...

  • OA-3

    Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter...

Clarifications

Tasks for this target will require students to use the four operations to solve straightforward, one-step or multi-step contextual word problems, including problems where the remainder must be interpreted.

Range Achievement Level Descriptors

Evidence Required

  • 1

    The student solves contextual problems involving multiplicative comparisons, e.g., by using drawings and equations with a...

  • 2

    The student solves straightforward, contextual problems using the four operations.

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

  • Equation/Numeric

Allowable Stimulus Materials

multiplication equations, verbal statements of multiplicative comparison, contextual problems involving multiplicative comparison, one-step contextual word problems, measurements limited to: kilometers (km), meters (m), centimeters (cm), kilograms (kg), grams (g), pounds (lb), ounces (oz), liters...

Key/Construct Relevant Vocabulary

Remainder, sum, difference, quotient, product, equation, times as much, times as many, equation

Allowable Tools

None

Target-Specific Attributes

Numbers used in this target must be whole numbers. In describing a multiplicative comparison, the language “times as much” or “times as many” is preferable to “times more than.”

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

Interpreting multiplication equations as multiplicative comparisons and representing verbal statements of multiplicative comparisons as multiplication equations (4.OA.1) will be assessed in Claim 4. Items asking students to solve a word problem by using an equation...

Task Models

Task Model 1a

  • Item Types

    Equation/Numeric
  • Depth of Knowledge

    M-DOK1
  • Standards

    OA-2

Target Evidence Statement

  • The student solves contextual problems involving multiplicative comparisons, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.

  • Allowable Tools

    None

Task Description

Prompt Features: The student is prompted to solve a contextual problem involving multiplicative comparison. Stimulus Guidelines: Numbers should fit in the parameters of up to 4-digit by 1-digit, or 2-digit by 2-digit multiplication problems, and up...

Stimulus

The student is presented with a contextual problem involving multiplicative comparison with an unknown product.

Example 1

Example Stem: A cat has 4 times as many toys as a puppy. The puppy has 12 toys. How many toys does the cat have?

Enter your answer in the response box.

Rubric: (1 point) The student solves for an unknown and enters the correct number (e.g., 48).