EngageNY: 2018 Grade 4 Mathematics Test Released Questions

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New York State Testing ProgramGrade 4Mathematics TestReleased QuestionsJune 2018New York State administered the Mathematics Tests in May 2018and is now making approximately 75% of thequestions from these tests available for review and use.

THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY 12234New York State Testing ProgramGrades 3-8 MathematicsReleased Questions from 2018 ExamsBackgroundIn 2013, New York State began administering tests designed to assess student performance in accordancewith the instructional shifts and rigor demanded by the new New York State P-12 Learning Standards inMathematics. To help in this transition to new assessments, the New York State Education Department(SED) has been releasing an increasing number of test questions from the tests that were administered tostudents across the State in the spring. This year, SED is again releasing large portions of the 2018 NYSGrades 3-8 English Language Arts and Mathematics test materials for review, discussion, and use.For 2018, included in these released materials are at least 75 percent of the test questions that appearedon the 2018 tests (including all constructed-response questions) that counted toward students’ scores.Additionally, SED is also providing a map that details what each released question measures and thecorrect response to each question. These released materials will help students, families, educators, andthe public better understand the tests and the New York State Education Department’s expectations forstudents.Understanding Math QuestionsMultiple-Choice QuestionsMultiple-choice questions are designed to assess the New York State P-12 Learning Standards forMathematics. Mathematics multiple-choice questions will be used mainly to assess standard algorithmsand conceptual standards. Multiple-choice questions incorporate both the grade-level standards and the“Standards for Mathematical Practices.” Many questions are framed within the context of real-worldapplications or require students to complete multiple steps. Likewise, many of these questions are linkedto more than one standard, drawing on the simultaneous application of multiple skills and concepts.Short-Response QuestionsShort-response questions require students to complete tasks and show their work. Like multiple-choicequestions, short-response questions will often require multiple steps, the application of multiplemathematics skills, and real-world applications. Many of the short-response questions will coverconceptual and application of the standards.Extended-Response QuestionsExtended-response questions ask students to show their work in completing two or more tasks or a moreextensive problem. Extended-response questions allow students to show their understanding ofmathematical procedures, conceptual understanding, and application. Extended-response questions mayalso assess student reasoning and the ability to critique the arguments of others.

The scoring rubric for short and extended constructed-response questions can be found in the thematics.New York State P-12 Learning Standards AlignmentThe alignment(s) to the New York State P-12 Learning Standards for Mathematics is/are intended toidentify the primary analytic skills necessary to successfully answer each question. However, somequestions measure proficiencies described in multiple standards, including a balanced combination ofprocedure and conceptual understanding. For example, two-point and three-point constructed-responsequestions require students to show an understanding of mathematical procedures, concepts, andapplications.These Released Questions Do Not Comprise a “Mini Test”To ensure future valid and reliable tests, some content must remain secure for possible use on futureexams. As such, this document is not intended to be representative of the entire test, to show howoperational tests look, or to provide information about how teachers should administer the test; rather,its purpose is to provide an overview of how the test reflects the demands of the New York State P-12Learning Standards.The released questions do not represent the full spectrum of the standards assessed on the State tests,nor do they represent the full spectrum of how the standards should be taught and assessed in theclassroom. It should not be assumed that a particular standard will be measured by an identical questionin future assessments. Specific criteria for writing test questions, as well as additional assessmentinformation, are available at http://www.engageny.org/common-core-assessments.

Released Questions

Developed and published under contract with the New York State Education Department by Questar Assessment Inc., 5550 Upper 147thStreet West, Minneapolis, MN 55124. Copyright 2018 by the New York State Education Department.Session 1

Session 1TIPS FOR TAKING THE TESTHere are some suggestions to help you do your best: Read each question carefully and think about the answer before making your choice. ou have been provided with mathematics tools (a ruler and a protractor) to useYduring the test. It is up to you to decide when each tool will be helpful. You should usemathematics tools whenever you think they will help you to answer the question.Session 1Page 1

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Grade 42018Mathematics TestSession 1May 1 – 3, 2018

Released Questions

The possession or use of any communications device is strictly prohibited when taking thisexamination. If you have or use any communications device, no matter how briefly, yourexamination will be invalidated and no score will be calculated for you.Developed and published under contract with the New York State Education Department by Questar Assessment Inc., 5550 Upper 147thStreet West, Minneapolis, MN 55124. Copyright 2018 by the New York State Education Department.Session 2

Session 2TIPS FOR TAKING THE TESTHere are some suggestions to help you do your best: Read each question carefully and think about the answer before making your choice orwriting your response. ou have been provided with mathematics tools (a ruler and a protractor) to useYduring the test. It is up to you to decide when each tool will be helpful. You should usemathematics tools whenever you think they will help you to answer the question. Be sure to show your work when asked.Session 2Page 1

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Grade 42018Mathematics TestSession 2May 1 – 3, 2018

THE STATE EDUCATION DEPARTMENTTHE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY 122342018 Mathematics Tests Map to the StandardsGrade 4 Released Questions on EngageNYKey PointsQuestionBook 1TypeStandardClusterSubscore1Multiple ChoiceD1CCSS.Math.Content.4.OA.A.1Operations and Algebraic ThinkingOperations and Algebraic Thinking2Multiple ChoiceA1CCSS.Math.Content.4.NF.B.3dNumber and Operations— FractionsNumber and Operations— Fractions3Multiple ChoiceB1CCSS.Math.Content.4.NBT.A.3Number and Operations in Base TenNumber and Operations in Base Ten4Multiple ChoiceA1CCSS.Math.Content.3.MD.B.4Measurement and Data12Multiple ChoiceA1CCSS.Math.Content.4.MD.C.5aMeasurement and Data13Multiple ChoiceA1CCSS.Math.Content.4.NBT.A.1Number and Operations in Base TenNumber and Operations in Base Ten14Multiple ChoiceC1CCSS.Math.Content.4.OA.C.5Operations and Algebraic ThinkingOperations and Algebraic Thinking17Multiple ChoiceA1CCSS.Math.Content.4.MD.C.6Measurement and Data18Multiple ChoiceD1CCSS.Math.Content.4.NF.B.3bNumber and Operations— FractionsNumber and Operations— Fractions23Multiple ChoiceC1CCSS.Math.Content.4.NBT.B.6Number and Operations in Base TenNumber and Operations in Base Ten24Multiple ChoiceA1CCSS.Math.Content.4.NBT.A.2Number and Operations in Base TenNumber and Operations in Base Ten25Multiple ChoiceC1CCSS.Math.Content.4.NF.B.4aNumber and Operations— FractionsNumber and Operations— Fractions27Multiple ChoiceC1CCSS.Math.Content.3.MD.D.8Measurement and Data28Multiple ChoiceB1CCSS.Math.Content.4.OA.A.3Operations and Algebraic Thinking29Multiple ChoiceC1CCSS.Math.Content.4.MD.B.4Measurement and Data30Multiple ChoiceB1CCSS.Math.Content.4.NF.A.2Number and Operations— Fractions31Multiple e ChoiceC1CCSS.Math.Content.4.OA.B.4Operations and Algebraic ThinkingOperations and Algebraic Thinking33Multiple ChoiceB1CCSS.Math.Content.4.NBT.A.2Number and Operations in Base TenNumber and Operations in Base Ten34Multiple ChoiceB1CCSS.Math.Content.4.NF.A.2Number and Operations— FractionsNumber and Operations— Fractions35Multiple ChoiceA1CCSS.Math.Content.4.OA.A.1Operations and Algebraic ThinkingOperations and Algebraic Thinking36Multiple ChoiceA1CCSS.Math.Content.4.MD.C.5bMeasurement and Data37Multiple ChoiceB1CCSS.Math.Content.4.NBT.A.1Number and Operations in Base TenNumber and Operations in Base Ten38Multiple ChoiceC1CCSS.Math.Content.4.NF.B.4bNumber and Operations— FractionsNumber and Operations— Fractions39Constructed ucted Response2CCSS.Math.Content.4.NBT.B.6Number and Operations in Base TenNumber and Operations in Base Ten41Constructed Response2CCSS.Math.Content.4.NF.B.4cNumber and Operations— FractionsNumber and Operations— Fractions42Constructed Response2CCSS.Math.Content.4.OA.A.2Operations and Algebraic ThinkingOperations and Algebraic Thinking43Constructed Response2CCSS.Math.Content.4.NF.B.3cNumber and Operations— FractionsNumber and Operations— Fractions44Constructed Response2CCSS.Math.Content.4.MD.C.7Measurement and Data45Constructed Response3CCSS.Math.Content.4.NBT.B.5Number and Operations in Base TenOperations and Algebraic ThinkingNumber and Operations— FractionsBook 2Number and Operations in Base Ten*This item map is intended to identify the primary analytic skills necessary to successfully answer each question. However, some questions measure proficiencies described inmultiple standards, including a balanced combination of procedural and conceptual understanding.

Mathematics Test Released Questions June 2018 New York State administered the Mathematics Tests in May 2018 and is now making approximately 75% of the questions from these tests available for review and use. THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY 12234 . New York State Testing Program . Grades 3-8 Mathematics .