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Assessments
NAEP Assessment Item, Grade 8: Use a scale to find a distance between two points
Discipline
Mathematics
Grades
6, 7, 8
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Professional Commentary

Students use proportional reasoning to calculate a distance on a scale drawing. This multiple-choice question is a sample test item used in grades 4 and 8 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 Question in the upper right hand corner of the screen. NAEP Reference Number: 2003-8M6, No. 19. (sw)


Ohio Mathematics Academic Content Standards (2001)
Number, Number Sense and Operations Standard
Benchmarks (5–7)
I.
Use a variety of strategies, including proportional reasoning, to estimate, compute, solve and explain solutions to problems involving integers, fractions, decimals and percents.
Benchmarks (8–10)
G.
Estimate, compute and solve problems involving real numbers, including ratio, proportion and percent, and explain solutions.
Grade Level Indicators (Grade 6)
14.
Use proportional reasoning, ratios and percents to represent problem situations and determine the reasonableness of solutions.
Grade Level Indicators (Grade 8)
6.
Estimate, compute and solve problems involving rational numbers, including ratio, proportion and percent, and judge the reasonableness of solutions.
Principles and Standards for School Mathematics
Number and Operations Standard
Understand numbers, ways of representing numbers, relationships among numbers, and number systems
Expectations (6–8)
understand and use ratios and proportions to represent quantitative relationships;
Compute fluently and make reasonable estimates
Expectations (6–8)
understand and use ratios and proportions to represent quantitative relationships;
develop, analyze, and explain methods for solving problems involving proportions, such as scaling and finding equivalent ratios.