Assessments

NAEP Assessment Item, Grade 4: Solve a multi-step word problem

Discipline

Mathematics

Grades

3, 4

Ohio Mathematics Academic Content Standards (2001)

Number, Number Sense and Operations Standard

Benchmarks (3–4)

H.

Use relationships between operations, such as subtraction as the inverse of addition and division as the inverse of multiplication.

Grade Level Indicators (Grade 3)

10.

Explain and use relationships between operations, such as:
a. relate addition and subtraction as inverse operations;
b. relate multiplication and division as inverse operations;
c. relate addition to multiplication (repeated addition);
d. relate subtraction to division (repeated subtraction).

12.

Add and subtract whole numbers with and without regrouping.

Grade Level Indicators (Grade 4)

14.

Demonstrate fluency in adding and subtracting whole numbers and in multiplying and dividing whole numbers by 1- and 2-digit numbers and multiples of ten.

Principles and Standards for School Mathematics

Number and Operations Standard

Compute fluently and make reasonable estimates

Expectations (3–5)

develop fluency in adding, subtracting, multiplying, and dividing whole numbers;

Students must calculate and write the answer to a word problem requiring subtraction of 3-digit numbers. This constructed-response question is a sample test item used in grade 4 in the 2003 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 guide, sample student responses, and a 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: 2003-4M10, No. 9. (sw)