Grade 3 - Claim 1 - Target B
Back to ResultsMathematics
Target B
Understand properties of multiplication and the relationship between multiplication and division.
Sample Item
Grade 3Test
Claim 1
Concepts and Procedures
Standards
OA-5
Apply properties of operations as strategies to multiply and divide. Examples: If 6 × 4 =...
OA-6
Understand division as an unknown-factor problem. For example, find 32 ÷ 8 by finding the number that...
Clarifications
Whereas Target A focuses more on the practical uses of multiplication and division, Target B focuses more on the mathematical properties of these operations, including the mathematical relationship between multiplication and division. Tasks associated...
Range Achievement Level Descriptors
Evidence Required
1
The student uses the properties of operations (Commutative Property of Multiplication, Associative Property of Multiplication, and...
2
The student will represent division as an unknown-factor problem.
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...
Allowable Item Types
- Equation/Numeric
- Matching Tables
- Multiple Choice, single correct response
Allowable Stimulus Materials
Area models will be used and should reflect the appropriate property and have a product or dividend within 100 using single-digit factors. Unknown quantities within equations should be represented by a box (□), “n”, or...
Key/Construct Relevant Vocabulary
divide, equation, multiply, factor, equal, operation, product, quotient, expression
Allowable Tools
None
Target-Specific Attributes
Use multiplication and division within 100 using single-digit factors.
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
Equation/NumericDepth of Knowledge
M-DOK1Standards
OA-5
Target Evidence Statement
The student uses the properties of operations (Commutative Property of Multiplication, Associative Property of Multiplication, and Distributive Property of Multiplication) as strategies to multiply and divide.
Allowable Tools
None
Task Description
Prompt Features: The student uses Properties of Multiplication to determine an unknown value in an equation. Stimulus Guidelines: Emphasis of task models should be on using the strategies to develop fluency, specifically on harder to remember...
Stimulus
The student is presented with an equation that encourages use of one or more properties to find an unknown value.
Example 1
Example Stem 1: What unknown number makes the equation true?
8 × 6 = 6 x □
Enter your answer in the response box.
(1 point) The student identifies the correct unknown number for each equation (e.g., 8).
Example 2
Example Stem 2: What unknown number makes the equation true?
8 × 6 = 8 x □ x 2
Enter your answer in the response box.
Rubric: (1 point) The student identifies the correct unknown number for each equation (e.g., 3).
Example 3
Example Stem 3: What unknown number makes the equation true?
5 × 9 = 5 × 10 – □
Enter your answer in the response box.
Rubric: (1 point) The student identifies the correct unknown number for each equation (e.g., 5).
Example 4
Example Stem 4: What unknown number makes the equation true?
5 × 8 = 10 x 8 ÷ □
Enter your answer in the response box.
Rubric: (1 point) The student identifies the correct unknown number for each equation (e.g., 2).
Example 5
Example Stem 5: What unknown number makes the equation true?
6 × 6 = 6 × 5 + □
Enter your answer in the response box.
Rubric: (1 point) The student identifies the correct unknown number for each equation (e.g., 6).
Example 6
Example Stem 6: What unknown number makes the equation true?
8 × 7 = 5 × 7 + □ x 7
Enter your answer in the response box.
Rubric: (1 point) The student identifies the correct unknown number for each equation (e.g., 3).