Grade 5 - Claim 1 - Target D
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Target D
Perform operations with multi-digit whole numbers and with decimals to hundredths
Sample Item
Grade 5Test
Claim 1
Concepts and Procedures
Standards
NBT-5
Fluently multiply multi-digit whole numbers using the standard algorithm.
NBT-6
Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate...
NBT-7
Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy...
Clarifications
Some tasks associated with this target will be non-contextual computation problems that assess fluency in multiplication of multi-digit whole numbers. Other tasks will ask students to find quotients of whole numbers with up to four-digit...
Range Achievement Level Descriptors
Evidence Required
1
The student multiplies multi-digit whole numbers.
2
The student determines whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value, the properties of operations, and/or the relationship between multiplication and...
3
The student adds, subtracts, multiplies, and divides decimals to the hundredths using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction....
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
Allowable Stimulus Materials
base-10 array model, equations
Key/Construct Relevant Vocabulary
array, area model, equation, quotient, product, factor, divisor, dividend, remainder
Allowable Tools
None
Target-Specific Attributes
For division problems with whole numbers, up to and including four-digit dividends and two-digit divisors. Add, subtract, multiply, and divide decimals to the hundredths.
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
Regarding 5.NBT.B.6, items that assess determining the quotient of whole numbers, without actually referencing a particular strategy, should be limited to no more than 10% of the total number of items developed for this...
Task Models
Task Model 1a
Item Types
Equation/NumericDepth of Knowledge
M-DOK1Standards
NBT-5
Target Evidence Statement
The student multiplies multi-digit whole numbers.
Allowable Tools
None
Task Description
Prompt Features: The student is prompted to enter the product of a multiplication problem. Stimulus Guidelines: Items use whole numbers only. Total number of digits in the two factors must be six or fewer. Item difficulty may be...
Stimulus
The student is presented with a horizontal multiplication problem.
Example 1
Example Stem: Enter the product. 4 × 39
Enter your answer in the response box.
Rubric: (1 point) The student correctly solves the multiplication problem (e.g., 156).