2007-2008 Grade 8 Mathematics Item and Scoring Sampler

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TABLE OF CONTENTS Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 General Description of Mathematics Scoring Guidelines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Mathematics Reporting Categories . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 Description of Sample Items . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 Formula Sheet. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 Multiple-Choice Items. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 First Open-Ended Item . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 Item-Specific Scoring Guideline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 Open-Ended Item Responses. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 Second Open-Ended Item. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 Item-Specific Scoring Guideline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 Open-Ended Item Responses. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 Grade 8 Mathematics Item Sampler 2007–2008 i
MATHEMATICS INTRODUCTION General Introduction The Department of Education provides districts and schools with tools to assist in delivering focused instructional programs aligned to the state assessment system. These tools include assessment anchor documents, assessment handbooks, and content-based item and scoring samplers. This 2007–2008 Mathematics Item and Scoring Sampler is a useful tool for Pennsylvania educators in the preparation of local instructional programs and the statewide PSSA. What Is Included This item and scoring sampler contains mathematics multiple-choice items and open-ended items that have been written to align to the 2007 Assessment Anchor Content Standards (Assessment Anchors). Some of the items are actual items used to assess student performance on the PSSA. They provide an idea of the types of items that will appear on the operational Spring 2008 PSSA. Each item has been through a rigorous review process to ensure alignment with the Assessment Anchors. Purpose and Uses The items in this sampler may be used as examples for creating assessment items at the classroom level, and they may also be copied and used as part of a local instructional program.* Classroom teachers may find it beneficial to have students respond to the open-ended items in this sampler. Educators can then use the sampler as a guide to score the responses either independently or together with colleagues within a school or district. Item Format and Scoring Guidelines The multiple-choice items have four answer choices. Each correct response to a multiple-choice item is worth one point. Each open-ended item is designed to take about ten minutes to complete. During an actual testing event, students are given additional time as necessary to complete the test items. The open-ended items in mathematics are scored with item-specific scoring guides on a 0–4 point scale. An item-specific scoring guide with examples of student responses for each score point is presented with each item. Also included is the General Description of Mathematics Scoring Guidelines used to develop the item-specific guidelines. The General Scoring Guidelines should be used to develop any item-specific scoring guidelines created for use within local instructional programs.* Item Alignment All PSSA items are aligned to statements and specifications included in the Assessment Anchor Content Standards documents. The mathematics content included in the PSSA mathematics multiple-choice items will align with the Assessment Anchors as defined by the Eligible Content statements. The process skills, directives, and action statements will also specifically align with the Assessment Anchors as defined by Eligible Content statements. The mathematics content included in the PSSA mathematics open-ended items will align with content included in Eligible Content statements. The process skills, directives, and action statements included in the performance demands of the PSSA mathematics open-ended items will align with specifications included in the Assessment Anchor statements, the Descriptor statements, and/or the Eligible Content statements. In other words, the verbs or action statements used in the open-ended questions or stems can come from the Eligible Content, Descriptor, or Anchor. * The permission to copy and/or use these materials does not extend to commercial purposes. Grade 8 Mathematics Item Sampler 2007–2008 1
Page 1: The Pennsylvania System of School A
Page 5 and 6: MATHEMATICS MATHEMATICS REPORTING C
Page 7 and 8: MATHEMATICS MULTIPLE-CHOICE ITEMS D
Page 9 and 10: MATHEMATICS B.1.1.3 7. Danny babysa
Page 11 and 12: MATHEMATICS C.1.1.2 11. Angles J an
Page 13 and 14: MATHEMATICS D.2.1.1 16. Dora owns a
Page 15 and 16: MATHEMATICS D.4.1.3 20. The table b
Page 17 and 18: MATHEMATICS E.4.1.1 Use the scatter
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Page 21 and 22: MATHEMATICS Item #26 Top Scoring Re
Page 41 and 42: MATHEMATICS Item #27 Top Scoring Re
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MATHEMATICS 27. Continued. Please r
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2007-2008 Grade 8 Mathematics Item and Scoring Sampler

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