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Assessments
NAEP Assessment Item, Grade 8: Plan and Analyze Expenses With Given Parameters
Discipline
Mathematics
Grades
6, 7, 8
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Professional Commentary

Given various costs associated with attending a basketball camp, students must find all combinations of activities whose costs would be less than $1000. They must explain their reasoning using drawings, words, and numbers. They have the option of using a calculator. This constructed-response question is a sample test item used in grade 8 in the 1992 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: 1992-8M14, No. 9. (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)
11.
Perform fraction and decimal computations and justify their solutions; e.g., using manipulatives, diagrams, mathematical reasoning.
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
Compute fluently and make reasonable estimates
Expectations (6–8)
select appropriate methods and tools for computing with fractions and decimals from among mental computation, estimation, calculators or computers, and paper and pencil, depending on the situation, and apply the selected methods;