Grade 4 - Claim 1 - Target E
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Target E
Use place value understanding and properties of operations to perform multi-digit arithmetic
Sample Item
Grade 4Test
Claim 1
Concepts and Procedures
Standards
NBT-4
Fluently add and subtract multi-digit whole numbers using the standard algorithm.
NBT-5
Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and...
NBT-6
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and...
Clarifications
Tasks for this target will ask students to add and subtract multi-digit whole numbers; multiply whole numbers (up to and including four digits by one digit or two digits by two digits); and find...
Range Achievement Level Descriptors
Evidence Required
1
The student adds or subtracts multi-digit whole numbers in non-contextual mathematics problems.
2
The student multiplies whole numbers (up to four digits by one digit or two digits by two digits) using strategies based on place value and the properties of operations.
3
The student finds whole numbers quotients and remainders (up to four-digit dividends and one-digit divisors) using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division....
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
- Multiple Choice, single correct response
- Equation/Numeric (2 response boxes)
Allowable Stimulus Materials
Non-contextual problems in the four operations, equations, expressions, problems solved or partially solved reflecting different solution strategies
Key/Construct Relevant Vocabulary
sum, difference, product, expression, equation, equal, partial product, quotient, partial quotient, remainder, multiple
Allowable Tools
None
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
Illustrating and explaining multiplication calculations (CCSS 4.NBT.B.5) and division calculations (CCSS 4.NBT.B.6) by using equations, rectangular arrays, and/or area models will be assessed in Claim 3.
Task Models
Task Model 1a
Item Types
Equation/NumericDepth of Knowledge
M-DOK1Standards
NBT-4
Target Evidence Statement
The student adds or subtracts multi-digit whole numbers in non-contextual mathematics problems.
Allowable Tools
None
Task Description
Prompt Features: The student is prompted to add two or more multi-digit whole numbers, or to subtract two multi-digit whole numbers. Stimulus Guidelines: Follow any stated guidelines on allowable number ranges. At least one number in each...
Stimulus
The student is presented with a non-contextual addition problem with two or more whole numbers.
Example 1
Example Stem 1: Enter the sum in the response box.
Rubric: (1 point) The student enters the correct number (e.g., 4,979).
Example 2
Example Stem 2: Add together 33, 149, and 67.
Enter the sum in the response box.
Rubric: (1 point) The student enters the correct number (e.g., 249).