COMPREHENSIVE SYSTEM OF STUDENT ASSESSMENT STANDARDS BASED ASSESSMENTS (SBA) Mathematics Practice Test Scoring Guide Grade Alaska Department of Education & Early Development Mathematics Practice Test Scoring Guide with Answer Keys, Scoring Guidelines, and Sample Papers General Introduction The Alaska Department of Education and Early Development (EED), in cooperation with Data Recognition Corporation, designed and produced the Alaska Practice Test to support students in doing their best on the Alaska Comprehensive System of Student Assessment, Standards Based Assessments in grades through A scoring guide, with answer keys, scoring guidelines, sample student papers, and a test map, provides the teacher with information and tools to score each practice test Content A Practice Test Scoring Guide for each grade level and subject area is posted on the EED Website (http://www.eed.state.ak.us/tls/assessment) To access this website, follow these instructions Directions to access the AK EED Website Type or copy and paste the link to the Alaska EED Website into your browser http://www.eed.state.ak.us/tls/assessment Select Standards Based Assessments Select Item Samplers / Practice Tests Select the grade-level assessment (or other document) you wish to download At this point you may save the file to your computer or print the file directly from the website Printing from the website can be very time consuming It is likely you will want to save the file(s) to your computer, then print This guide is divided into two sections Section I includes the answer keys and scoring guidelines (with detailed item-specific scoring rubrics for scoring short and extended constructed-response questions), and sample student papers with annotations for each score point Section II presents a grade-level test map that lists item sequence, corresponding Grade Level Expectation, and an answer key Purpose The passages, stimuli, prompts, graphs, charts, and items included for each content-area practice test were created for use in Alaska classrooms These materials may be copied and used as part of a local instructional program.* Alaska educators may use the reading, writing, and mathematics practice tests, the Practice Test Administration Directions, and the Practice Test Scoring Guides to support daily instruction in the classroom and to prepare their students for the operational standards based assessments Important: The practice tests were developed for usability purposes only, and in no way should the tests or scores students receive be considered a predictor of a student’s ability to perform on the operational Standards Based Assessments Passages, prompts, stimuli, and items provide samples of what students will see on the operational tests Items are not necessarily the same in terms of measurement, rigor, or the length of time it takes a student to respond *The permission to copy and/or use these materials does not extend to commercial purposes Mathematics Practice Test Scoring Guide: Grade Item Format The mathematics practice test includes two types of mathematics items: multiple choice and constructed response Practice test multiple-choice items have four answer options The correct response to each multiple-choice item is worth one point Two types of constructed-response items are presented in the mathematics practice test: short constructed response (SCR) are 2-point items; extended constructed response (ECR) are 4-point items Item-specific scoring guidelines and examples of responses for each score point are presented with each constructed-response item Measurement items are not included in the mathematics practice test because teachers will download the practice tests from the Alaska Education and Early Development Website (http://www.eed.state.ak.us/tls/assessment) and print them on local computers When printing occurs using local computers, measurement items (that require a ruler) may be scaled differently from the actual figure that appears on the PDF, and true measurement cannot be achieved Teachers are encouraged, however, to include measurement items on their regular classroom tests Scoring Guidelines Following the multiple-choice answer key are general scoring rubrics for 2-point and 4-point constructedresponse items The general scoring rubric includes item-specific guidelines to assist the teacher with scoring constructed-response items Sample student papers are included for each short and extended constructed-response score point An item-specific annotation follows each sample student response The annotations are designed to provide the teacher with the explanation of why the score point was awarded Test Maps The test map presents the sequence of the items, the Grade Level Expectation to which each item is aligned, and the answer key This at-a-glance chart is designed to assist the teacher with scoring the practice test Mathematics Practice Test Scoring Guide: Grade SECTION I: Grade Mathematics Practice Test Answer Keys, Scoring Guidelines, and Sample Student Papers D C B A A This problem is worth points Bill has 10 crayons There are blue crayons A What fraction of the crayons is blue? Answer: B Bill will give }2 of his crayons to Jenny In the picture above, draw a ring around }2 of the crayons Mathematics Practice Test Scoring Guide: Grade 4 SECTION I: Grade Mathematics Practice Test Answer Keys, Scoring Guidelines, and Sample Student Papers Short Constructed Response Score Rubric 2 of parts correct 1 of parts correct OR Some correct and relevant work or explanation Response is totally incorrect or irrelevant point for correct answer in part A point for correct answer in part B Problem Solution: } } 10 OR AND crayons should be circled Mathematics Practice Test Scoring Guide: Grade SECTION I: Grade Mathematics Practice Test Answer Keys, Scoring Guidelines, and Sample Student Papers Item #6 Response Score: Short Constructed Response: Answer: Annotation for score point: All parts are correct: Correct answer of 2/10 or 1/5 is provided Correct ring is drawn that demonstrates conceptual understanding of fractions by illustrating parts of a set Mathematics Practice Test Scoring Guide: Grade SECTION I: Grade Mathematics Practice Test Answer Keys, Scoring Guidelines, and Sample Student Papers Item #6 Response Score: Short Constructed Response: Answer: Annotation for score point: Some part is correct: Incorrect answer of 1/4 is provided Correct drawing of ring is provided Mathematics Practice Test Scoring Guide: Grade SECTION I: Grade Mathematics Practice Test Answer Keys, Scoring Guidelines, and Sample Student Papers Item #6 Response Score: Short Constructed Response: Answer: Annotation for score point: No part is correct: Incorrect answer of 1/10 is provided Incorrect drawing of ring is provided Mathematics Practice Test Scoring Guide: Grade SECTION I: Grade Mathematics Practice Test Answer Keys, Scoring Guidelines, and Sample Student Papers 10 11 C C D A B This problem is worth points 12 There are 23 students in Mr Castillo’s class For an art project, each student needs pinecones and wooden sticks A How many pinecones 23 students need? Show all of your work and write your answer in the box below Answer: B pinecones How many wooden sticks 23 students need? Show all of your work and write your answer in the box below Answer: wooden sticks Mathematics Practice Test Scoring Guide: Grade SECTION I: Grade Mathematics Practice Test Answer Keys, Scoring Guidelines, and Sample Student Papers 12 Extended Constructed Response Score Rubric 4 of parts correct 3 of parts correct 2 of parts correct 1 of parts correct OR Some correct and relevant work or explanation Response is totally incorrect or irrelevant point for all correct work (procedure) shown in part A point for correct answer in part A point for all correct work (procedure) shown in part B point for correct answer in part B Note: point deduction for students who got pinecones and wooden sticks reversed Problem Solution: A 23 × OR 23 + 23 +23 OR equivalent (may see interim total of 46 or may even see students use graphics and counting) AND 69 (pinecones) B 23 × OR 23 + 23 + 23 + 23 + 23 + 23 + 23 + 23 + 23 OR equivalent (may see graphics and counting) AND 207 (wooden sticks) Mathematics Practice Test Scoring Guide: Grade 10 SECTION I: Grade Mathematics Practice Test Answer Keys, Scoring Guidelines, and Sample Student Papers Item #12 Response Score: Extended Constructed Response: Part A Answer: pinecones Answer: wooden sticks Part B Annotation for score point: All parts are correct: Correct answer of 69 with all work shown is provided in Part A Correct answer of 207 with all work shown is provided in Part B (Student demonstrates full understanding of multiplying two-digit numbers by singledigit numbers.) 11 Mathematics Practice Test Scoring Guide: Grade SECTION I: Grade Mathematics Practice Test Answer Keys, Scoring Guidelines, and Sample Student Papers Item #12 Response Score: Extended Constructed Response: Part A Answer: pinecones Answer: wooden sticks Part B Annotation for score point: Most parts are correct: Correct answer of 69 with all work shown is provided in Part A Correct answer of 207 is provided in Part B, but all work is not correctly or clearly shown (9 × 20 = 180, but not × 23 and 180 + 27 = 207, but not 18 + 27) Mathematics Practice Test Scoring Guide: Grade 12 SECTION I: Grade Mathematics Practice Test Answer Keys, Scoring Guidelines, and Sample Student Papers Item #12 Response Score: Extended Constructed Response: Part A Answer: pinecones Answer: wooden sticks Part B Annotation for score point: Some parts are correct: Correct answer of 69 with all work shown (counted by 3’s) is provided in Part A Incorrect answer of 23 with incorrect work shown is provided in Part B (Student did not use the as input into the problem.) 13 Mathematics Practice Test Scoring Guide: Grade SECTION I: Grade Mathematics Practice Test Answer Keys, Scoring Guidelines, and Sample Student Papers Item #12 Response Score: Extended Constructed Response: Part A Answer: pinecones Answer: wooden sticks Part B Annotation for score point: Some part is correct: Correct answer of 69 with no supporting work shown (only given information is repeated) is provided in Part A Incorrect answer of 26 with no correct work shown (repeats some of given information) is provided in Part B Mathematics Practice Test Scoring Guide: Grade 14 SECTION I: Grade Mathematics Practice Test Answer Keys, Scoring Guidelines, and Sample Student Papers Item #12 Response Score: Extended Constructed Response: Part A Answer: pinecones Answer: wooden sticks Part B Annotation for score point: No parts are correct: Incorrect answer of 14 with no correct work shown in Part A Incorrect answer of 20 with no work at all shown in Part B 15 Mathematics Practice Test Scoring Guide: Grade SECTION I: Grade Mathematics Practice Test Answer Keys, Scoring Guidelines, and Sample Student Papers 13 14 15 16 17 A D D C B This problem is worth points 18 The pencil below measures inches inches How many pencils would need to be lined up to equal foot? Show all of your work and write your answer in the box below Answer: Mathematics Practice Test Scoring Guide: Grade pencils 16 SECTION I: Grade Mathematics Practice Test Answer Keys, Scoring Guidelines, and Sample Student Papers 18 Short Constructed Response Score Rubric 2 of parts correct 1 of parts correct OR Some correct and relevant work or explanation Response is totally incorrect or irrelevant point for correct answer point for all correct work (procedure) shown Note: Okay for some work to appear on graphic and not just “in the box below.” Problem Solution: (pencils) AND 12 } OR 4q12 OR 12 ÷ OR each pencil is inches and × = 12 inches which equals foot OR + + = 12 OR equivalent 17 Mathematics Practice Test Scoring Guide: Grade SECTION I: Grade Mathematics Practice Test Answer Keys, Scoring Guidelines, and Sample Student Papers Item #18 Response Score: Short Constructed Response: Answer: pencils Annotation for score point: All parts are correct: Correct answer of is provided All work is shown Mathematics Practice Test Scoring Guide: Grade 18 SECTION I: Grade Mathematics Practice Test Answer Keys, Scoring Guidelines, and Sample Student Papers Item #18 Response Score: Short Constructed Response: Answer: pencils Annotation for score point: Some part is correct: Correct answer of is provided All work is not shown (support is incomplete as student does not show addition to 12 [inches in a foot] The inputs (4’s) are shown, but not the operation of addition to get to 12) 19 Mathematics Practice Test Scoring Guide: Grade SECTION I: Grade Mathematics Practice Test Answer Keys, Scoring Guidelines, and Sample Student Papers Item #18 Response Score: Short Constructed Response: pencils Answer: Annotation for score point: No part is correct: Incorrect answer of is provided Incorrect work is shown (Student repeats given six times for no discernible mathematical reason Student may think there are 24 inches a foot, but even that is not shown or explained.) Mathematics Practice Test Scoring Guide: Grade 20 SECTION I: Grade Mathematics Practice Test Answer Keys, Scoring Guidelines, and Sample Student Papers 19 20 21 22 23 24 25 26 27 28 29 30 31 D A C A B A C D C B C B D 21 Mathematics Practice Test Scoring Guide: Grade Mathematics Practice Test Scoring Guide: Grade 22 SECTION II: Grade Mathematics Test Map MATHEMATICS Sequence GLE Key N-8 D F&R-1 C E&C-1 B G-3 A S&P-1 A N-4 Short Constructed Response S&P-3 C S&P-5 C E&C-5 D 10 F&R-4 A 11 G-4 B 12 E&C-4 Extended Constructed Response 13 MEA-6 A 14 F&R-1 D 15 N-4 D 16 MEA-8 C 17 G-5 B 18 MEA-3 Short Constructed Response 19 N-2 D 20 F&R-4 A 21 S&P-2 C 22 G-1 A 23 N-7 B 24 E&C-3 A 25 MEA-4 C 26 E&C-4 D 27 S&P-4 C 28 MEA-3 B 29 N-3 C 30 F&R-1 B 31 G-6 D 23 Mathematics Practice Test Scoring Guide: Grade Mathematics Practice Test Scoring Guide Grade Copyright © 2007 by Alaska Department of Education & Early Development The materials contained in this publication may be duplicated by Alaska educators for local classroom use This permission does not extend to the duplication of materials for commercial use ... Key N-8 D F&R-1 C E&C-1 B G-3 A S&P-1 A N -4 Short Constructed Response S&P-3 C S&P-5 C E&C-5 D 10 F&R -4 A 11 G -4 B 12 E&C -4 Extended Constructed Response 13 MEA-6 A 14 F&R-1 D 15 N -4 D 16 MEA-8... MEA-8 C 17 G-5 B 18 MEA-3 Short Constructed Response 19 N-2 D 20 F&R -4 A 21 S&P-2 C 22 G-1 A 23 N-7 B 24 E&C-3 A 25 MEA -4 C 26 E&C -4 D 27 S&P -4 C 28 MEA-3 B 29 N-3 C 30 F&R-1 B 31 G-6 D 23 Mathematics... 24 25 26 27 28 29 30 31 D A C A B A C D C B C B D 21 Mathematics Practice Test Scoring Guide: Grade Mathematics Practice Test Scoring Guide: Grade 22 SECTION II: Grade Mathematics Test Map MATHEMATICS