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Assessments
NAEP Assessment Item, Grade 12: Use Ratios in Context
Discipline
Mathematics
Grades
6, 7, 8, 9, 10
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Professional Commentary

Students must determine which of two ratios of flavoring to water produces a stronger flavored drink. They have the option of using a calculator. This constructed-response question is a sample test item used in grade 12 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 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 Question in the upper right hand corner of the screen. NAEP Reference Number: 1996-12M12, No. 8. (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 7)
7.
Solve problems using the appropriate form of a rational number (fraction, decimal or percent).
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;