Ohio Resource Center
Assessments
NAEP Assessment Item, Grade 8: Using a Scale, Find the Height in Inches of a House
Discipline
Mathematics
6, 7, 8, 9
Professional Commentary

Given the scale to be used in building a model town, students must find the height of a house built according to scale. They have the option of using a calculator. This multiple-choice question is a sample test item used in grade 8 in the 1990 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 Question in the upper right hand corner of the screen. NAEP Reference Number: 1990-8M9, No. 7. (sw)

Ohio Mathematics Academic Content Standards (2001)
Measurement Standard
Benchmarks (5–7)
E.
Use problem solving techniques and technology as needed to solve problems involving length, weight, perimeter, area, volume, time and temperature.
Benchmarks (8–10)
D.
Use proportional reasoning and apply indirect measurement techniques, including right triangle trigonometry and properties of similar triangles, to solve problems involving measurements and rates.
4.
Solve problems involving proportional relationships and scale factors; e.g., scale models that require unit conversions within the same measurement system.
4.
Use scale drawings and right triangle trigonometry to solve problems that include unknown distances and angle measures.
Principles and Standards for School Mathematics
Measurement Standard
Apply appropriate techniques, tools, and formulas to determine measurements.
Expectations (6–8)
solve problems involving scale factors, using ratio and proportion;