Ohio Grade 4 Achievement Test for Mathematics – May 2008 ...

Ohio Grade 4 Achievement Test for Mathematics – May 2008Annotated Item 35Standard and Benchmark Assessed:Standard:Benchmark:Number, Number Sense and OperationsK. Analyze and solve multi-step problems involving addition, subtraction,multiplication and division using whole numbers.Standard:Benchmark:Mathematical ProcessesB. Use an organized approach and appropriate strategies to solve multi-stepproblems.Multiple Choice Question:35. The table shows how many envelopes are in a box.Denise bought 2 small boxes, 3 medium boxes and 1 large box of envelopes.How many envelopes did she buy?A. 6B. 74C. 144D. 154Commentary:This multiple-choice question asks students to use the number of envelopes in one box of small,one box of medium and one box of large envelopes to find the total number of envelopes in 2small, 3 medium, and 1 large box of envelopes. Students need to be able to interpret andanalyze a multi-step problem to develop an organized approach to solving the problem usingaddition and multiplication.Students could multiply the number of boxes for each type of envelope by the number ofenvelopes per box, then add these three products to find the total number of envelopes:2 x 32 = 64 small envelopesSource: Ohio Department of Education July 08

Ohio Grade 4 Achievement Test for Mathematics – May 2008Annotated Item 353 x 24 = 72 medium envelopes1 x 18 = 18 large envelopes64 small envelopes + 72 medium envelopes + 18 large envelopes = 154 total envelopesSo, answer choice D is correct.Answer choice A is incorrect because 6 is the total number of boxes given in the problem(2 + 3 + 1 = 6) not the total number of envelopes in the 6 boxes purchased. Answer choice B isincorrect since 74 is the total number of envelopes given in the table (32 + 24 + 18 = 74), notthe total number of envelopes in the 6 boxes purchased. Answer choice C is incorrect because62, instead of 72, is incorrectly used as the number of medium envelopes (64 + 62 + 18 = 144).The complexity level of this question is Moderate Complexity. Students are asked to solve aword problem requiring multiple steps.Performance Data:The percent of public school students selecting answer choice D for question 35 on the May2008 Grade 4 Achievement Test was 60%.Keywords: number, addition, multiplicationSource: Ohio Department of Education July 08