Assessments

NAEP Assessment Item, Grade 4: Relate a pictorial representation to its number

Discipline

Mathematics

Grades

2, 3, 4

Ohio Mathematics Academic Content Standards (2001)

Number, Number Sense and Operations Standard

Benchmarks (K–2)

A.

Use place value concepts to represent whole numbers using numerals, words and physical models.

Benchmarks (3–4)

A.

Use place value structure of the base-ten number system to read, write, represent and compare whole numbers and decimals.

Grade Level Indicators (Grade 2)

1.

Use place value concepts to represent, compare and order whole numbers using physical models, numerals and words, with ones, tens and hundreds. For example:
a. Recognize 10 can mean "10 ones" or a single entity (1 ten) through physical models and trading games.
b. Read and write 3-digit numerals (e.g., 243 as two hundred forty three, 24 tens and 3 ones, or 2 hundreds and 43 ones, etc.) and construct models to represent each.

Grade Level Indicators (Grade 3)

2.

Use place value concepts to represent whole numbers and decimals using numerals, words, expanded notation and physical models. For example:
a. Recognize 100 means "10 tens" as well as a single entity (1 hundred) through physical models and trading games.
b. Describe the multiplicative nature of the number system; e.g., the structure of 3205 as 3 x 1000 plus 2 x 100 plus 5 x 1.
c. Model the size of 1000 in multiple ways; e.g., packaging 1000 objects into 10 boxes of 100, modeling a meter with centimeter and decimeter strips, or gathering 1000 pop-can tabs.
d. Explain the concept of tenths and hundredths using physical models, such as metric pieces, base ten blocks, decimal squares or money.

Grade Level Indicators (Grade 4)

2.

Use place value structure of the base-ten number system to read, write, represent and compare whole numbers through millions and decimals through thousandths.

Principles and Standards for School Mathematics

Number and Operations Standard

Understand numbers, ways of representing numbers, relationships among numbers, and number systems

Expectations (Pre-K–2)

connect number words and numerals to the quantities they represent, using various physical models and representations;

Expectations (3–5)

understand the place-value structure of the base-ten number system and be able to represent and compare whole numbers and decimals;

Students must identify the 3-digit number represented by a collection of base ten blocks. This multiple-choice 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 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: 2003-4M10, No. 6. (sw)