Educator Guide to the 2022 Grades 3–8 Math Tests - New York State ...

New York State Testing Program

Educator Guide to the 2022 Grades 3?8 Mathematics Tests

THE UNIVERSITY OF THE STATE OF NEW YORK Regents of The University

LESTER W. YOUNG, JR., Chancellor, B.S., M.S., Ed.D. ................................................................ JOSEPHINE VICTORIA FINN, Vice Chancellor, B.A., J.D. .......................................................... ROGER TILLES, B.A., J.D. ............................................................................................................... CHRISTINE D. CEA, B.A., M.A., Ph.D. ......................................................................................... WADE S. NORWOOD, B.A. ............................................................................................................ KATHLEEN M. CASHIN, B.S., M.S., Ed.D. .................................................................................. JAMES E. COTTRELL, B.S., M.D. ................................................................................................... JUDITH CHIN, B.S., M.S. in Ed. ..................................................................................................... BEVERLY L. OUDERKIRK, B.S. in Ed., M.S. in Ed. ..................................................................... CATHERINE COLLINS, R.N., N.P., B.S., M.S. in Ed., Ed.D. ...................................................... NAN EILEEN MEAD, B.A., M.A. .................................................................................................. ELIZABETH S. HAKANSON, A.S., B.A., M.S., C.A.S. ................................................................ LUIS O. REYES, B.A., M.A., Ph.D. .................................................................................................. SUSAN W. MITTLER, B.S., M.S. ..................................................................................................... FRANCES G. WILLS, B.A., M.A., M.Ed., C.A.S., Ph.D ............................................................... RUTH B. TURNER, BSW, LCSW, M.Ed.......................................................................................... ARAMINA VEGA FERRER, B.A., M.S. in Ed., Ph.D....................................................................

Beechhurst Monticello Manhasset Staten Island Rochester Brooklyn New York Little Neck Morristown Buffalo Manhattan Syracuse New York Ithaca Ossining Rochester Bronx

Commissioner of Education and President of the University Betty A. Rosa, B.A., M.S. in Ed., M.S. in Ed., M.Ed., Ed.D.

Senior Deputy Commissioner, Office of Education Policy James N. Baldwin

Deputy Commissioner, Office of P12 Instructional Services Kimberly Young Wilkins

Assistant Commissioner, Office of State Assessment Steven E. Katz

Director, Office of State Assessment Zachary Warner

The State Education Department does not discriminate on the basis of race, creed, color, national origin, religion, age, sex, military, marital status, familial status, domestic violence victim status, carrier status, disability, genetic predisposition, sexual orientation, and criminal record in its recruitment, educational programs, services, and activities. NYSED has adopted a web accessibility policy, and publications designed for distribution can be made available in an accessible format upon request. Inquiries regarding this policy of nondiscrimination should be directed to the Office of Human Resources Management, Room 528 EB, Education Building, Albany, New York 12234.

Copyright ? 2022 by the New York State Education Department. Permission is hereby granted for school administrators and educators to reproduce these materials, located online on the NYSED website (), in the quantities necessary for their schools' use, but not for sale, provided copyright notices are retained as they appear in these publications.

2022 Grades 3?8 Mathematics Test Guide ii

Table of Contents

2022 Mathematics Tests..............................................................................................................1 Learning Standards for Mathematics.......................................................................................2

Grade 3..............................................................................................................................2 Grade 4..............................................................................................................................2 Grade 5..............................................................................................................................3 Grade 6..............................................................................................................................4 Grade 7..............................................................................................................................5 Grade 8..............................................................................................................................6 Clusters, Standards, and Sequencing in Instruction and Assessment...................................8 Content Emphases.............................................................................................................8

Cluster Emphases for Instruction and the 2022 Grades 3?8 Mathematics Tests....................................................................8 Emphasized Standards......................................................................................................8 Sequencing........................................................................................................................9 Emphases and Sequencing................................................................................................9 Grade 3............................................................................................................................10 Grade 4............................................................................................................................11 Grade 5............................................................................................................................12 Grade 6............................................................................................................................13 Grade 7............................................................................................................................14 Grade 8............................................................................................................................15 The 2022 Grades 3?8 Mathematics Tests................................................................................16 Testing Sessions..............................................................................................................16 When Students Have Completed Their Tests.................................................................16 Test Design......................................................................................................................17 2022 Grade 3 Test Design...................................................................................17

2022 Grades 3?8 Mathematics Test Guide iii

2022 Grade 4 Test Design...................................................................................17 2022 Grade 5 Test Design...................................................................................17 2022 Grade 6 Test Design...................................................................................18 2022 Grade 7 Test Design...................................................................................18 2022 Grade 8 Test Design...................................................................................18 Test Blueprint..................................................................................................................19 Question Formats ..........................................................................................................22 Multiple-Choice Questions.................................................................................22 Short-Response Questions..................................................................................22 Extended-Response Questions............................................................................22 Released Assessment Resources.....................................................................................22 Mathematics Rubrics and Scoring Policies.....................................................................23 2-Point Holistic Rubric.......................................................................................23 3-Point Holistic Rubric.......................................................................................24 2022 2- and 3-Point Mathematics Scoring Policies...........................................25 Mathematics Tools..........................................................................................................26 Why Mathematics Tools?....................................................................................26 Rulers and Protractors .......................................................................................26 Calculators..........................................................................................................26 Value of Pi...........................................................................................................26 Reference Sheets.............................................................................................................27

2022 Grades 3?8 Mathematics Test Guide iv

2022 Mathematics Tests

New York State Educators Involvement in Test Development While teachers have always been included in the Grades 3?8 Test Development Process, since 2016 NYSED has expanded the number of opportunities for New York State educators to become more involved. New York State educators provide the critical input necessary to ensure that the tests are fair, valid, and appropriate for students through their participation in many test development activities. This process includes the review and approval of passages, the development of items for those passages, the construction of field and operational test forms, rangefinding (setting scores for field test constructed responses), final approval of test forms prior to administration, and the development of scoring materials. NYSED remains committed to improving the quality of the State's assessments and the experiences that students have taking these tests. For more information on opportunities to participate in the test development process, please visit the Test Development Participation Opportunities website ( state-assessment/test-development-participation-opportunities). Option for Schools to Administer the Mathematics Tests on Computer Beginning in 2017, schools have had the option to administer the Grades 3?8 Mathematics Tests on computer or paper. More information about this option is available at the NYSED computer-based testing (CBT) Support website (). Reduction in the Number of Test Sessions In June 2017, the Board of Regents decided to reduce the number of days of student testing on the Grades 3?8 English Language Arts and Mathematics Tests from three sessions for each test to two. This change took effect beginning with the tests that were administered in 2018. In addition to reducing the number of sessions, the Board's decision also reduced scoring time for teachers and may help enable more schools to transition sooner to CBT. As a result of the change to a two-session test design, panels of New York State educators from across the State were brought together to engage in a standards review process. These panels of educators established new performance standards for each grade level. They followed a standardized, research-based process to discuss expectations for students in each performance level, reviewed the actual test questions, and made recommendations on the knowledge and skills required of students at each grade level. These recommendations form the basis for the performance standards that are applied to individual student tests to make proficiency level determinations from 2018 onward.

2022 Grades 3?8 Mathematics Test Guide 1

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