New Jersey Assessment of Skills and Knowledge

1 New Jersey Assessment of Skills and Knowledge MathematicsGrade 3 and Grade 4 Assessment Samples Cop yrigh t 2006 by the New Jer se y Departm ent of Edu cation. All righ ts reserved. PTM # STATE BOARD OF EDUCATION ARNOLD G. HYNDMAN ..Warren President DEBRA CASHA ..Morris Vice President ARCELIO APONTE ..Middlesex RONALD K. BUTCHER .. Gloucester MAUD Hunterdon KATHLEEN A. JOSEPHINE E. JOHN A. GRIFFITH .. Essex REV. FREDERICK H. LAGARDE, JR..Passaic ERNEST LEPORE .. Hudson THELMA Mercer EDWARD M. TAYLOR .. Camden Secretary, State Board of Education It is a policy of the New Jersey State Board of Education and the State Department of Education that no person, on the basis of race, creed, national origin, age, sex, handicap, or marital status, shall be subjected to discrimination in employment or be excluded from or denied benefits in any activity, program, or service for which the department has responsibility.

2 The department will comply with all state and federal laws and regulations concerning nondiscrimination. Lucille E. Davy, Acting Commissioner New Jersey Assessment of Skills and Knowledge Mathematics Grade 3 and Grade 4 Assessment SAMPLES Acting Commissioner Jay Doolan, , Acting Assistant Commissioner Division of Educational Programs and Assessment Office of Evaluation and Assessment Office of Evaluation and Assessment New Jersey Department of Education PO Box 500 Trenton, New Jersey 08625-0500 January 2006 PTM # Lucille E. Davy Timothy Giordano, Mathematics Coordinator Brian D. Robinson, , Director TABLE OF CONTENTS Grade 3 Mathematics Assessment Appendix B: Item-Specific Appendix C: Test Appendix F: Test Appendix E: Item-Specific Appendix D: Scoring Grade 4 Mathematics Assessment Appendix A: Scoring 1 Introduction and Knowledge (NJ ASK).

3 These materials, which appeared on actual grade 3 and grade 4 tests, are released samples and, therefore, are no longer considered secure Assessment documents. The Pages from this document may be duplicated and used for instructional purposes in the materials are illustrative of the kinds of test questions that students encounter with the NJ ASK. classroom. Appendix D provides the answer key for the multiple-choice questions for grade 4. Pages 2-25 provide the grade 3 samples of multiple-choice and open-ended items. Pages 48-83 provide the grade 4 samples of multiple-choice and open-ended items. Appendix A provides the answer key for the multiple-choice questions for grade 3. Appendix B provides the item-specific rubric for the open-ended question in grade 3. Appendix C provides the test specifications for grade 3.

4 Appendix F provides the test specifications for grade 4. This document contains samples of Mathematics items from the New Jersey Assessment of Skills Appendix E provides the item-specific rubric for each open-ended question in grade 4. Page 2~~1 DAY 1 Directions to the StudentWhen you are taking this test, remember these important things:1. Read each question carefully and think about the If you do not know the answer to a question, go on to the next question. Youmay come back to the skipped question later if you have When you see a STOP sign, do not turn the page until you are told to do so.~~NJ ASK RELEASED SAMPLE GRADE 3 Page 3~~DAY 1 1````````````````````````DO NOT WRITE IN THIS :The next section of the test has 4 multiple-choice questions. You will fill inthe circle next to the answer you choose.

5 You may NOT use a Multiple-Choice QuestionsThe sample questions below show you what the questions are like and how to markyour :1. Find the exact answer: 110 701881180810 The correct answer is C. The circle with the C in it has been filled in to show that C isthe correct Estimate 123 685. The sum is between which numbers?400 and 600700 and 9001,000 and 1,2001,300 and 1,500 The correct answer is B. The circle with the B in it has been filled in to show that B isthe correct ~DA~CD~~NJ ASK RELEASED SAMPLE GRADE 3 Page 4~~ABCD1 DAY 1~~1. Find the exact answer: 145 281 62 426 488 9461,0462. Find the exact answer: 365 56300309311421 DIRECTIONS:Choose the best of the answer choices given for each of the followingproblems. Fill in the circle next to your choice. You may NOT use ASK RELEASED SAMPLE GRADE 3 Page 5~~~~````````````````````````DO NOT WRITE IN THIS 1 13.

6 Estimate 153 44. The sum is between which numbers?100 and 299300 and 499500 and 699700 and 8994. Estimate 999 103. The difference is between which numbers?1,300 and 1,5001,000 and 1,200 700 and 900 400 and 600 ABCDABCDIf you have time, you may review your work in this section ASK RELEASED SAMPLE GRADE 3 Page 6~~~~Directions for StudentsYou are allowed to use your calculator for the following multiple-choice andopen-ended items. You may also use the ruler and colored Multiple-Choice QuestionThe sample question below will show you what the multiple-choice questions are likeand how to mark your answers. For each multiple-choice question, select the bestanswer and fill in the circle next to your choice. Make sure you fill in the :1. Mark has a stamp collection. He has 22 stamps from Japan, 34from Canada, and 17 from Mexico.

7 How many stamps does hehave in all?53637383 The correct answer is C. The circle with the C in it has been filled in to show that C isthe correct ~~~~~D2 DAY 1NJ ASK RELEASED SAMPLE GRADE 3 Page 7~~~~````````````````````````DO NOT WRITE IN THIS Open-Ended QuestionThe sample question below will show you what the open-ended question is likeand how to write your answer. You will write or draw your answer in the work areaprovided. When asked to explain an answer, you may use words, tables, diagrams,or :1. A juice machine charges 65 for a can of juice and acceptsonly nickels, dimes, and quarters. The machine requires exactchange. What combination of coins could you put in the juicemachine to get a can of juice?Show your work or explain your area for question are just two examples of the many possible ways to answer open-endedquestions.

8 Be sure to answer all parts of the question, show your work, or explain youranswer. You may use your calculator, ruler, and colored 1 2NJ ASK RELEASED SAMPLE GRADE 3 Page 8~~~~ABCD5. None of the above2 DAY 1 Compare the shaded regions. Which symbol belongs in the square?NJ ASK RELEASED SAMPLE GRADE 3 Page 9~~~~````````````````````````DO NOT WRITE IN THIS Amanda wants to cover the top of her doll s table with coloredpaper. The top of the table is shown below. How many square centimeters of paper does Amanda need if eachsquare equals 1 square centimeter? 5 82640 ABCDDAY 1 2NJ ASK RELEASED SAMPLE GRADE 3 Page 10~~~~7. The mathematics club uses this phone tree to remind members aboutclub Peters calls Robert and Vanessa, and then each student calls theperson whose name is listed under their name.

9 This continues untilevery student is called. student will Leslie call?JeremyJuneLuciaOttoABCD2 DAY 1NJ ASK RELEASED SAMPLE GRADE 3 Page 11~~~~````````````````````````DO NOT WRITE IN THIS Which of these letters has a line of symmetry? PFTLABCDDAY 1 2NJ ASK RELEASED SAMPLE GRADE 3 Page 12~~~~9. Jose had 25 baseball cards. His mother gave him some more now has 40 baseball cards. Which number sentence could youuse to find how many baseball cards his mother gave him? 40 2525 4025 4025 40 ABCD2 DAY 1NJ ASK RELEASED SAMPLE GRADE 3 Page 13~~~~````````````````````````DO NOT WRITE IN THIS What was the temperature at 9:00 in Springfield on Day 3?

10 Temperature at 9:00 in Springfield40 F35 F30 F25 F20 F15 F10 F5 F0 FTemperature123 456 Day20 F25 F30 F35 FABCDDAY 1 2NJ ASK RELEASED SAMPLE GRADE 3 Page 14~~~~11. Look at the pattern below. If the pattern continues, how many dots will be in the next triangle? 5101520 ABCD2 DAY 1If you have time, you may review your work in this section ASK RELEASED SAMPLE GRADE 3 Page 15~~~~````````````````````````DO NOT WRITE IN THIS 1 2NJ ASK RELEASED SAMPLE GRADE 3 Page 16~~3 DAY 1~~12. There are 10 red chips and 5 blue chips in a bag. What are thechances of picking a blue chip if you reach into the bag and pickone without looking?1 out of 52 out of 155 out of 105 out of 15 DIRECTIONS:Choose the best of the answer choices given for each of the followingproblems. Fill in the circle next to your choice.