Ohio Resource Center
Assessments
ODE Assessment Item, Grade 8: Use Proportional Reasoning
Discipline
Mathematics
6, 7, 8
Professional Commentary

Students can use proportional reasoning to see how long it will take to raise the temperature of a cup of water from 22°C to 100°C. This multiple-choice question is a sample item used in the 2005 Ohio Grade 8 Achievement Test (see Overview of Ohio's Assessment System). The URL link (above) takes the user directly to the test item (PDF), with access to performance data, complexity level of the item, and discussion of incorrect responses. This OAT item is also available in Microsoft® Word. The Ohio Department of Education Instructional Management System website allows visitors to search for test items by subject and grade band and build a printable database of questions using the Add to Your Backpack function. ODE Reference Information: 2005 Ohio Grade 8 Achievement Test for Mathematics, Annotated Item 44. (author/sw)

Ohio Mathematics Academic Content Standards (2001)
Measurement Standard
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.
Mathematical Processes Standard
Benchmarks (8–10)
B.
Apply mathematical knowledge and skills routinely in other content areas and practical situations.
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;