PSSA Grade 8 Mathematics Item Sampler 2021
The Pennsylvania Systemof School AssessmentMathematicsItem and Scoring Sampler2021*2021*Grade 8* This is a revised version of the 2017 Item and Scoring Sampler.Pennsylvania Department of Education Bureau of Curriculum, Assessment and Instruction—September 2021
TABLE OF CONTENTSINFORMATION ABOUT MATHEMATICSIntroduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1General Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1Pennsylvania Core Standards (PCS) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1What Is Included . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1Purpose and Uses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2Item Format and Scoring Guidelines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2Item Alignment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3Testing Time and Mode of Testing Delivery for the PSSA . . . . . . . . . . . . . . . . . . . . . . . . . . . 3Mathematics Reporting Categories . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3General Description of Scoring Guidelines for Mathematics Open-Ended Questions . . . . . 4Item and Scoring Sampler Format . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5Grade 8 Formula Sheet . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6Mathematics Test Directions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7Multiple-Choice Items . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8Open-Ended Question . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34Item-Specific Scoring Guideline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36Mathematics—Summary Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48PSSA Grade 8 Mathematics Item and Scoring Sampler—September 2021ii
INFORMATION ABOUT MATHEMATICSINTRODUCTIONGeneral IntroductionThe Pennsylvania Department of Education (PDE) provides districts and schools with tools to assistin delivering focused instructional programs aligned with the Pennsylvania Core Standards (PCS) .These tools include Academic Standards, Assessment Anchor documents, assessment handbooks,and content-based item and scoring samplers . This Item and Scoring Sampler is a useful tool forPennsylvania educators in preparing local instructional programs by providing samples of test itemtypes and scored student responses . The item sampler is not designed to be used as a pretest, acurriculum, or other benchmark for operational testing .This Item and Scoring Sampler is available in Braille format . For more information regarding Braille,call (717) 901-2238 .Pennsylvania Core Standards (PCS)This sampler contains examples of test items (questions) designed to assess the PennsylvaniaAssessment Anchors and Eligible Content aligned to the PCS . The Mathematics, Reading, andWriting PSSA transitioned to PCS-based operational Mathematics and English Language Artsassessments starting with the spring 2015 PSSA administration .The PCS-aligned Assessment Anchors and Eligible Content documents are posted on this portal:¾www.education.pa.gov [Hover over “Data and Reporting,” select “Assessment andAccountability,” and select “PSSA-PA System of School Assessment .” Then select“Assessment Anchors/Eligible Content” on the right side of the screen .]What Is IncludedThis sampler contains test questions (items) that have been written to be aligned with theAssessment Anchors, which are aligned to the PCS . The test questions provide an idea of the typesof items that will appear on an operational, PCS-based PSSA . Each sample test question has beenthrough a rigorous review process to ensure alignment with the Assessment Anchors .Typically an item and scoring sampler is released every year to provide students and educatorswith a resource to assist in delivering focused instructional programs aligned to the PCS . However,due to the cancellation of standardized testing in 2019–2020, the 2021 Item and Scoring Sampleris a revised version of the previously released 2017 Item and Scoring Sampler . This revised versionensures that students and educators have an enhanced item and scoring sampler to use duringinstruction and/or preparation of students to take the PSSA Exam .PSSA Grade 8 Mathematics Item and Scoring Sampler—September 20211
INFORMATION ABOUT MATHEMATICSPurpose and UsesThe items in this sampler may be used1 as examples for creating assessment items at the classroomlevel, and they may also be copied and used as part of a local instructional program . Classroomteachers may find it beneficial to have students respond to the open-ended (OE) item in this sampler .Educators can then use the sampler as a guide to score the responses either independently ortogether with colleagues within a school or district .Item Format and Scoring GuidelinesThe multiple-choice (MC) items have four answer choices . Each correct response to an MC item isworth one point .Each OE item is designed to take approximately ten to fifteen minutes to complete . During theadministration of the PSSA, students are given additional time as necessary to complete the testitems . Each OE item in mathematics is scored using an item-specific scoring guideline based on a0–4-point scale . In this sampler, every item-specific scoring guideline is combined with examples ofstudent responses that represent each score point to form a practical, item-specific scoring guide .This sampler also includes the General Description of Scoring Guidelines for Mathematics OpenEnded Questions that students will have access to during a PSSA mathematics administration .The general description of scoring guidelines may be distributed to students for use during localassessments and may also be used by educators when scoring local assessments .11The permission to copy and/or use these materials does not extend to commercial purposes .PSSA Grade 8 Mathematics Item and Scoring Sampler—September 20212
INFORMATION ABOUT MATHEMATICSItem AlignmentAll PSSA items are aligned to statements and specifications included in the Assessment Anchorsand Eligible Content Aligned to the Pennsylvania Core Standards. The mathematics content, processskills, directives, and action statements included in the PSSA mathematics questions align with theAssessment Anchor Content Standards . The Eligible Content statements represent the limits of thecontent of the mathematics questions .Testing Time and Mode of Testing Delivery for the PSSAThe PSSA is delivered in traditional paper-and-pencil format as well as in an online format . Theestimated time to respond to a test question is the same for both methods of test delivery . During anofficial testing administration, students are given additional time as necessary to complete the testquestions . The following table shows the estimated response time for each item type .Mathematics Item TypeMCOEEstimated Response Time(minutes)210 to 15Mathematics Reporting CategoriesThe Assessment Anchors are organized into four classifications as listed below . A Numbers and OperationsB Algebraic Concepts C GeometryD Data Analysis and ProbabilityThese four classifications are used throughout the grade levels . In addition to these classifications,there are five Reporting Categories for each grade level . The first letter of each Reporting Categoryrepresents the classification; the second letter represents the Domain as stated in the Common CoreState Standards for Mathematics . Listed below are the Reporting Categories for Grade 8 . A-N The Number System B-E Expressions and Equations B-F Functions C-G Geometry D-S Statistics and ProbabilityExamples of MC and OE items assessing these categories are included in this sampler .PSSA Grade 8 Mathematics Item and Scoring Sampler—September 20213
INFORMATION ABOUT MATHEMATICSGeneral Description of Scoring Guidelines for Mathematics Open-EndedQuestions4—The response demonstrates a thorough understanding of the mathematical concepts andprocedures required by the task.The response provides correct answer(s) with clear and complete mathematical proceduresshown and a correct explanation, as required by the task . Response may contain a minor“blemish” or omission in work or explanation that does not detract from demonstrating athorough understanding .3—The response demonstrates a general understanding of the mathematical concepts andprocedures required by the task.The response and explanation (as required by the task) are mostly complete and correct . Theresponse may have minor errors or omissions that do not detract from demonstrating a generalunderstanding .2—The response demonstrates a partial understanding of the mathematical concepts andprocedures required by the task.The response is somewhat correct with partial understanding of the required mathematicalconcepts and/or procedures demonstrated and/or explained . The response may contain somework that is incomplete or unclear .1—The response demonstrates a minimal understanding of the mathematical concepts andprocedures required by the task.0—The response has no correct answer and insufficient evidence to demonstrate anyunderstanding of the mathematical concepts and procedures required by the task for thatgrade level.Response may show only information copied from the question .Special Categories within zero reported separately:BLK (blank) . . . . . . . . . . . . .Is blank, is entirely erased, or gives a written refusal to respondOT . . . . . . . . . . . . . . . . . . . . . . . . . . .Is off-taskLOE . . . . . . . . . . . . . . . . . . . . . . . . .Is in a language other than EnglishIL . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Is illegiblePSSA Grade 8 Mathematics Item and Scoring Sampler—September 20214
INFORMATION ABOUT MATHEMATICSItem and Scoring Sampler FormatThis sampler includes the test directions and scoring guidelines that appear in the PSSAMathematics assessments . Each MC item is followed by a table that includes the alignment, theanswer key, the depth of knowledge (DOK) level, the percentage2 of students who chose eachanswer option, and a brief answer-option analysis or rationale . The OE item is followed by a tablethat includes the item alignment, DOK level, and mean student score . Additionally, each of theincluded item-specific scoring guidelines is combined with sample student responses representingeach score point to form a practical, item-specific scoring guide . The General Description of ScoringGuidelines for Mathematics Open-Ended Questions used to develop the item-specific scoringguidelines should be used if any additional item-specific scoring guidelines are created for use withinlocal instructional programs .Example Multiple-Choice Item Information TableItem InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsAssigned AAECCorrect AnswerAssigned DOKPercentage of students who selected this optionPercentage of students who selected this optionPercentage of students who selected this optionPercentage of students who selected this optionBrief answer-option analysis or rationaleExample Open-Ended Item Information TableAlignment2AssignedAAECDepth ofKnowledgeAssignedDOKMean ScoreAll p-value percentages listed in the item information tables have been rounded .PSSA Grade 8 Mathematics Item and Scoring Sampler—September 20215
INFORMATION ABOUT MATHEMATICSPSSA MATHEMATICSGRADE 8 REFERENCEGrade 8 Formula SheetFormulas that you may need on this test are found below.You may refer back to this page at any time during the mathematics test.You may use calculator π or the number 3.14 as an approximation of π.2021Grade 8ConeExponential Propertiesam an am n(am)n am nhamm–nn aa a1 1arV 1 2πr h3CylinderAlgebraic EquationsSlope:Slope-Intercept Form:m y2 – y1x2 – x1y mx bhrV π r 2hPythagorean TheoremaSpherecrba2 b2 c2V 4 3πr32021age 2 ofPSSA2 Grade 8 Mathematics Item and Scoring Sampler—SeptemberCopyright 2021 by the Pennsylvania Department of Education.6
INFORMATION ABOUT MATHEMATICSMathematics Test DirectionsOn the following pages are the mathematics questions . You may not use a calculator for question 1 . You may use a calculator for all otherquestions on this test .Directions for Multiple-Choice QuestionsSome questions will ask you to select an answer from among four choices .For the multiple-choice questions: First solve the problem on scratch paper . Choose the correct answer and record your choice in the answer booklet . If none of the choices matches your answer, go back and check your work forpossible errors . Only one of the answers provided is the correct response .Directions for Open-Ended QuestionsSome questions will require you to write your response .For the open-ended questions: These questions have more than one part . Be sure to read the directions carefully . You cannot receive the highest score for an open-ended question without completingall tasks in the question . For example, if the question asks you to show your work orexplain your reasoning, be sure to show your work or explain your reasoning in thespace provided . If the question does not ask you to show your work or explain your reasoning, youmay use the space provided, but only those parts of your response that the questionspecifically asks for will be scored . Write your response in the appropriate location within the response box in theanswer booklet . Some answers may require graphing, plotting, labeling, drawing, orshading . If you use scratch paper, be sure to transfer your final response and anyneeded work or reasoning to the answer booklet .PSSA Grade 8 Mathematics Item and Scoring Sampler—September 20217
PSSA MATHEMATICS GRADE 8Question 1 in this sampler is to be solved without the use of a calculator.MULTIPLE-CHOICE ITEMS1.The volume of Jupiter is approximately 1014 cubic kilometers . The volume of Earth isapproximately 1011 cubic kilometers . How many planets the size of Earth does it take to equalthe volume of Jupiter?A .10–3B .103C . 1025D .10154673061Item InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsB-E .1 .1 .1B25%71% (correct answer)20%4%A . subtracts the exponents as 11 – 14 (reverses the order of thesubtraction)B . Correct: divides the volumes by subtracting the exponentsC . adds the exponentsD . multiplies the exponentsPSSA Grade 8 Mathematics Item and Scoring Sampler—September 20218
PSSA MATHEMATICS GRADE 8A calculator is permitted for use in solving questions 2–17 in this sampler.2.The Blue Ridge Mountains are rising at a rate of 1 10–4 feet per year . To determine howmany feet the mountains will rise over the next 1 106 years, a scientist performs the operationshown below .(1 10–4) (1 106)How many feet will the Blue Ridge Mountains rise over the next 1 106 years?A .0 .001B .0 .01C . 10D .100665046Item InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsB-E .1 .1 .4D18%9%11%72% (correct answer)–A . incorrectly simplifies expression as 1 10 2 and incorrectly appliesthe –2 in the exponent by placing two 0s between the decimal pointand the 1B . incorrectly simplifies expression as 1 10–2C . incorrectly applies the 2 in the exponent by making the value of theexpression a 2-digit numberD . Correct: multiplies the coefficients (1 1), multiplies the 10sby adding the exponents (–4 6), and then converts 1 102 tostandard notation using 102 100PSSA Grade 8 Mathematics Item and Scoring Sampler—September 20219
PSSA MATHEMATICS GRADE 83.Trevor is riding his bicycle for a workout . The graph below shows the relationship betweenthe amount of time, in minutes, he rides and the distance, in kilometers, he rides during his25-minute workout .Distance (km)Bicycle Workouty65432105 10 15 20 25 30Time (minutes)xBased on the graph, which statement about the rate at which Trevor rides during his workoutis true?A .Trevor’s rate changes from 7 .5 kilometers per minute to 2 .5 kilometers per minute .B .Trevor maintains a steady rate of 2 kilometers per 5 minutes during the workout .C . Trevor maintains a steady rate of 2 .4 kilometers per 10 minutes during the workout .D .Trevor’s rate changes from 1 kilometer every 7 .5 minutes to 1 kilometer every 2 .5 minutes .703105PSSA Grade 8 Mathematics Item and Scoring Sampler—September 202110
PSSA MATHEMATICS GRADE 8Item InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsB-E .2 .1D212%14%10%64% (correct answer)A . inverts the slopes of the two line segmentsB .identifies the rate of change only from 15 minutes to 25 minutesC .uses the “average” rate of change from (0, 0) to (25, 6)D .y2 – y1Correct: uses the slope formula m x – x to determine the(21)2 – 0 2 2 kilometers every 15 minutesfirst rate as m 15 – 0 156 – 2 4 4 kilometers everyand the second rate as m 25 – 15 1010 minutes, and then converts each rate to a unit rate bydividing the values in each rate by the number of kilometers(2 2 1 and 15 2 7 .5; 4 4 1 and 10 4 2 .5)PSSA Grade 8 Mathematics Item and Scoring Sampler—September 202111
PSSA MATHEMATICS GRADE 84.Davis is comparing the gas mileage for his old car with the gas mileage for his new car . Hisold car used 19 gallons of gas to travel 323 miles . The graph shown below represents the gasmileage for his new car .Gas Used (gallons)yNew Car Gas Mileage8642050 100 150 200Distance (miles)xWhat is the difference in the gas mileages for the two cars?A .8 miles per gallonB .11 .2 miles per gallonC . 17 miles per gallonD .20 .5 miles per gallon703022PSSA Grade 8 Mathematics Item and Scoring Sampler—September 202112
PSSA MATHEMATICS GRADE 8Item InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsB-E .2 .1 .1D214%17%20%49% (correct answer)A . for the new car, divides the x-scale by the y-scale (50 2 25) andthen subtracts 17 from 25B . determines the difference in distance by subtracting the greatestvalue on the x-axis from 323, determines the difference in gas usedby subtracting the greatest value on the y-axis from 19, and thendivides the difference of the distances by the difference of the gasused (123 11)C . calculates the gas mileage only for the old carD . Correct: determines the gas mileage for the old car by dividing323 miles by 19 gallons to get 17 miles per gallon, determines thegas mileage for the new car by selecting a point on the line anddividing the x-value by the y-value (e .g ., 150 4) to get 37 .5 milesper gallon, and then finds the difference between these two gasmileagesPSSA Grade 8 Mathematics Item and Scoring Sampler—September 202113
PSSA MATHEMATICS GRADE 85.Line j and line k are graphed on the same coordinate grid . –Line j has a slope of 2} and intersects the y-axis at –4 .3 Line k has a different negative slope than line j and intersects the y-axis above line j .Which equation could describe line k?A .–y 1}x6B .–y 2}x–33–C . y 1}x–52D .y x 1700455Item InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsB-E .2 .1 .3A135% (correct answer)33%24%8%A .–1–2is a negative slope not equal toandCorrect: recognizes that63that the y-intercept (0) means the line intersects the y-axis aboveline jB .C .( )–2does not consider that the slopeis the same as the slope for3line jdoes not consider that the y-intercept (–5) means the line intersectsthe y-axis below line jD .does not consider that the slope is supposed to be negativePSSA Grade 8 Mathematics Item and Scoring Sampler—September 202114
PSSA MATHEMATICS GRADE 86.Luisa is solving an equation on the bottom of a page . The corner of the page where the equationis written is torn off as shown below .7(x 3) 7(x 5) –Luisa knows only one number was torn off, and she knows that the equation has an infinitenumber of solutions . What must be the missing number?A .2B .14C . 21D .35665687Item InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsB-E .3 .1 .1B227%58% (correct answer)9%6%A . does not apply the distributive property when solving the equationB . Correct: interprets “infinite number of solutions” as meaning thatthe two sides of the equation must be equal, sets up the left sideof the equation as 7x 21 and the right side of the equation as7x 35 – , and then solves for the missing number by subtracting7x and 21 from both sides to get 0 14 –C . correctly sets up the left side of the equation as 7x 21 but thenmisidentifies the missing number as 21 to “cancel out” the 21D . correctly sets up the right side of the equation as 7x 35 but thenmisidentifies the missing number as 35 to “cancel out” the 35without considering the 7 3 value on the left side of the equationPSSA Grade 8 Mathematics Item and Scoring Sampler—September 202115
PSSA MATHEMATICS GRADE 87.A system of two linear equations is graphed on the coordinate grid shown below .y8642–8 –6 –4 –2–22468x–4–6–8What ordered pair is the solution of the system of equations?A .(0, –4)B .(0, 3)C . (3, –3)D .(3, –1)703025Item InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsB-E .3 .1 .3C18%6%81% (correct answer)5%A . identifies the y-intercept of the “lower” lineB . identifies the y-intercept of the “upper” lineC . Correct: identifies the point of intersection as the solution of thesystem of equationsD . identifies the correct x-coordinate but adds the two y-intercepts todetermine the y-coordinatePSSA Grade 8 Mathematics Item and Scoring Sampler—September 202116
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PSSA MATHEMATICS GRADE 88.Which relation is a linear function with the greatest slope?A .C .xy–3B .xy1400341035420430yD .642–6 –4 –2–2–4–62 4 6y 5x 1x675705PSSA Grade 8 Mathematics Item and Scoring Sampler—September 202118
PSSA MATHEMATICS GRADE 8Item InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsB-F .1 .1 .2B-F .1 .1 .1D214%27%9%50% (correct answer)A . recognizes the table represents a function but incorrectly determinesslope by subtracting the least value in the table from the greatestvalueB .incorrectly identifies the table as representing a function and usesthe change of 10 in y-values as the slopeC .recognizes the line represents a function but incorrectly determinesslope by subtracting the least value on the x-axis from the greatestvalueD .()y2 – y1Correct: uses the slope formula m x – x to determine that215 – 3 2, recognizes that answerthe slope of answer choice A is3–0 3choice B is not a function since multiple y-values are paired with thesame x-value, recognizes the slope of answer choice C is 0 sincethe line is horizontal (“flat”), identifies the slope of answer choice Dis 5 since the equation is written in slope-intercept form (y mx b),2, 0, and 5and then selects the greatest value of3PSSA Grade 8 Mathematics Item and Scoring Sampler—September 202119
PSSA MATHEMATICS GRADE 89.A parking lot charges a monthly fee plus a charge per day for a car parked in the lot . The graphbelow shows the relationship between the total cost (y), in dollars, and the number of days (x)the car is parked in the lot .Total Cost ( )Cost to Park in Parking Loty10090807060504030201001 2 3 4 5 6 7 8 9 10Number of DaysCar Is Parked in LotxWhich equation could represent the relationship between the total cost (y), in dollars, and thenumber of days (x) the car is parked in the lot?A .y mxB .y mx bC . y x2D .y x2 b665689PSSA Grade 8 Mathematics Item and Scoring Sampler—September 202120
PSSA MATHEMATICS GRADE 8Item InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsB-F .1 .1 .3B112%73% (correct answer)8%7%A . does not consider that the y-intercept is not 0 (i .e ., the line does notpass through the origin)B . Correct: recognizes that the relationship is linear (y mx) and has ay-intercept other than 0 ( b)C . selects a nonlinear equation (y x2) and does not consider that they-intercept is not 0 (i .e ., the line does not pass through the origin)D . selects a nonlinear equation (y x2) that has a y-intercept otherthan 0 ( b)PSSA Grade 8 Mathematics Item and Scoring Sampler—September 202121
PSSA MATHEMATICS GRADE 810. Which situation can be modeled by the equation y mx b?A .The number of butterflies (y) in a population doubles every month (x) .B .The time (y) it takes a car to travel 100 miles depends on the speed (x) of the car .C . The volume (y) of a cylindrical tank with a height of 2 feet depends on the radius (x) ofthe tank .D .The total income (y) of a worker who earns 8 dollars per hour depends on the number ofhours (x) worked .678088Item InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsB-F .1 .1 .3D215%18%14%53% (correct answer)A . misidentifies “doubles every month” as y 2x instead of as y 2xB .uses d rt to write the equation 100 xy but does not consider that100the equation needs to be solved for y to get y xC .uses V π r 2h to write the equation y π(2)2x 12 .56x (uses x forthe height) instead of writing y π x2(2) 6 .28x2 (uses x for theradius)D .Correct: uses “8 dollars per hour” to write the equation y 8x 0PSSA Grade 8 Mathematics Item and Scoring Sampler—September 202122
PSSA MATHEMATICS GRADE 811. Ben currently has 70 in his trip fund . He makes 45 per week doing yard work for hisneighbors . He keeps 18 of the 45 for weekly expenses . The remaining amount goes into histrip fund . Which function can be used to determine the amount of money (y), in dollars, that Benhas in his trip fund at the end of x weeks?A .y 70 27xB .y 52 45xC . y 45 52xD .y 27 70x696720Item InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsB-F .2 .1 .1A273% (correct answer)9%7%11%A . Correct: uses 70 as the initial value and 45 – 18 27 as the rate ofchangeB . uses 70 – 18 52 as the initial value and 45 as the rate of changeC . uses 45 as the initial value and 70 – 18 52 as the rate of changeD . switches the initial value and the rate of changePSSA Grade 8 Mathematics Item and Scoring Sampler—September 202123
PSSA MATHEMATICS GRADE 812. Zach is studying the school furnace’s oil usage . He records the amount of oil remaining in thetank at 8 a.m. every day for a week . No additional oil is added to the tank during the week . Thegraph below shows his data .Oil Remaining in the Tank(gallons)2602402202001800Sun. Mon. Tue. Wed. Thu. Fri.Sat. Sun.Day of the WeekAs the outdoor temperature gets colder, more oil is used to keep the indoor temperatureconstant . Based on the graph, which 24-hour time interval indicates the coldest period forthe week?A .Sunday to MondayB .Tuesday to WednesdayC . Friday to SaturdayD .Saturday to Sunday677209Item InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsB-F .2 .1 .2B217%47% (correct answer)5%31%A . selects the first decreaseB . Correct: interprets the greatest 1-day decrease (“drop”) in theamount of oil remaining in the tank (230 to 200 gallons) asrepresenting the coldest 24-hour time interval for the weekC . selects the second-largest decreaseD . uses the interval with the lowest levels in the tank for the weekPSSA Grade 8 Mathematics Item and Scoring Sampler—September 202124
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PSSA MATHEMATICS GRADE 813. A triangular sign was moved . The new location of the sign is represented by the shaded triangle .yACC'BB'A'xWhich transformations could have been used to move the sign to the new location?A .B .}}reflection across BC and reflection across AC}reflection across BC and translation 4 units rightC . translation 4 units right and translation 4 units downD .rotation 180 degrees clockwise about C and translation 4 units right670272PSSA Grade 8 Mathematics Item and Scoring Sampler—September 202126
PSSA MATHEMATICS GRADE 8Item InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption
PSSA Grade 8 Mathematics Item and Scoring Sampler—September 2021 ii . Typically an item and scoring sampler is released every year to provide students and educators . student responses that represent each score point to form a practical, item-specific scoring guide .
Standards-based 2013 PSSA Assessment Anchors and Eligible Content . The Mathematics, Reading, and Writing PSSA transitioned to PCS-based operational Mathematics and English Language Arts assessments starting with the spring 2015 PSSA administration . The 2013 PCS-aligned Assessment Anchor
Fri 14/8 PSSA Week 5 What’s on Education Week Fri 21/8 PSSA Week 6 What’s on Fri 28/8 PSSA Week 7 What’s on Fri 4/9 PSSA Week 8 What’s on Fri 11/9 PSSA School Rules Calendar SCHOOL WEBSITE https://fairfieldw-p.schools.nsw.gov.au. Fairfield West
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PSSA Grade 8 Mathematics Item and Scoring Sampler—September 2016 6 INFORMATION ABOUT MATHEMATICS Grade 8 Formula Sheet 2016 Grade 8 Formulas and conversions that you may need to work questions on this test are found below . You may refer back to this page at any time during the mathematics
Teacher of Grade 7 Maths What do you know about a student in your class? . Grade 7 Maths. University Grade 12 Grade 11 Grade 10 Grade 9 Grade 8 Grade 7 Grade 6 Grade 5 Grade 4 Grade 3 Grade 2 Grade 1 Primary. University Grade 12 Grade 11 Grade 10 Grade 9 Grade 8 Grade 7 Grade 6 Grade 5 . Learning Skill
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