Assessments

NAEP Assessment Item, Grade 4: Identify Solution for Problem

Discipline

Mathematics

Grades

1, 2, 3, 4

Ohio Mathematics Academic Content Standards (2001)

Number, Number Sense and Operations Standard

Benchmarks (K–2)

J.

Model, represent and explain division as sharing equally, repeated subtraction and rectangular arrays.

Grade Level Indicators (Grade 1)

14.

Model and represent division as sharing equally in contextual situations; e.g., sharing cookies.

Grade Level Indicators (Grade 2)

8.

Model, represent and explain division as sharing equally and repeated subtraction.

Grade Level Indicators (Grade 3)

9.

Model, represent and explain division; e.g., sharing equally, repeated subtraction, rectangular arrays and area model. For example:
a. Translate contextual situations involving division into conventional mathematical symbols.
b. Explain how a remainder may impact an answer in a real-world situation; e.g., 14 cookies being shared by 4 children.

Principles and Standards for School Mathematics

Number and Operations Standard

Understand meanings of operations and how they relate to one another

Expectations (Pre-K–2)

understand situations that entail multiplication and division, such as equal groupings of objects and sharing equally.

Expectations (3–5)

understand various meanings of multiplication and division;

Students must identify the numerical expression that represents the solution to a division word problem. They have the option of using a calculator. This multiple-choice question is a sample test item used in grade 4 in the 1996 National Assessment of Educational Progress (see About NAEP). The URL link (above) takes the user directly to the NAEP test item, with access to performance data by various subgroups of students, a scoring key, and discussion of the content on which the item is based. The NAEP website allows users to build their own printable database of test items by clicking on

Add Questionin the upper right hand corner of the screen. NAEP Reference Number: 1996-4M12, No. 3. (sw)