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MARS Tasks Grade 7PageName of MARS TaskYearMath StrandNotes*****Mixing PaintsHexagonsPatternFair Game?Yogurt20032003200320032003NOAFGMPSNORatios, percents fractions, decimalsGive rule, formula for growing patternFind length, angles in symmetrical figureDetermine fairness of coin and dice gameFractions, percents in context of profits*****QuizCerealSpecial OfferCountersWhich Is Bigger?20042004200420042004AF, NONONOPSGMInterpret data, calc. scores on quizWhich cereal has higher ratio of proteinPercentage of savings off reg. priceDesign money making game of prob.Compare height of cylinder to circumference2591317Lawn 200520052005GMAFGMPSNOFind ratios, square yards per minuteGrowing pattern, formulas for beadsIdentify prop. of shapes, draw diff. designsFreq. chart, calculate mean numberPercentage problem involving sale prices202123262932Overview of 2006 TasksSquare TilesPhotographsPizza CrustsBuying a CameraMean, Median, Mode 20062006200620062006NO, GMNO, GMGMNOPSInterpret pattern, determine ratiosProportional reasoning in geometry contextFind area, perimeter, circumferencePercent increase/decrease in sales taxMatch bar graphs to statistical tables353638414447Overview of 2007 TasksWorkSuzi’s CompanyJourneyParallelogramMystery Letters20072007200720072007NO, AFPSAFGMAFConnect units of time in rate problemMean, median, mode of salariesDraw distance-time graph, find avg. speedUse cm ruler, find area, perimeterForm/solve equations in number puzzle495052555860Overview of 2008 TasksWill It Happen?Odd NumbersPedro’s TablesWinter HatSale!20082008200820082008PSAF, NONPGMNOLikelihood, numerical probability of # cubeExtend pattern, square numbersMultiples, factors, prime numbersArea of circle, rectangle, trapezoidSales discount, percent, fractions626365687174Overview of 2009 TasksToy TrainsBusesSequoiaArcheryCat Food20092009200920092009AFAFGMDA, PSNOGrowing pattern, write algebraic expressionDistance-time graph, add line to graphCircumference, volume of cone, cylinderDraw a box plot, mean, medianFractions, cost with items sold in packsNP Number PropertiesNO Number OperationsPFA Patterns Functions AlgebraGM Geometry & MeasurementDA Data AnalysisMARS Tasks - Grade 7* Tasks from 2003 and 2004 are not included in this packet due tocopyright restrictions. However, if you click on the name of thetask, you can access it via the Noyce Foundation website. Tasksfrom 2005 to 2009 are available here with permission from theMathematics Assessment Resource Service (MARS).www.scoe.org/marsPage 1
7th gradeTask 1Lawn MowingStudentTaskUse proportional reasoning and ratios to solve a problem involvinglawn cutting.Core Idea4Geometry andMeasurementAnalyze characteristics and properties of two-dimensionalgeometric shapes; develop mathematical arguments aboutgeometric relationships and apply techniques, tools, and formulasto determine measurements. Solve problems involving similarity and scale factors, usingproportional reasoning Use representations to model and interpret physical, social andmathematical phenomenaGrade 7 – 2005MARS Tasks - Grade 7pg.www.scoe.org/mars3Page 2
Grade 7 – 2005MARS Tasks - Grade 7pg.www.scoe.org/mars4Page 3
Lawn MowingGrade 7RubricThe core elements of performance required by this task are: solve a practical problem involving ratios use proportional reasoningBased on these, credit for specific aspects of performance should be assigned as follows1.Gives correct answer: 2,400 square yardspointssectionpoints112.Gives correct answer: 40 square yards per minute1Shows work such as:(60 x 40) 603.1ftGives correct answer: 60 square yards per minute1Shows work such as:(60 x 40) 404.1ftGives correct answer: 24 minutes21Shows correct work such as:In one minute together they mow 40 60 100 square yards(60 x 40) 1002ftTotal PointsGrade 7 – 2005MARS Tasks - Grade 72pg.www.scoe.org/mars385Page 4
7th gradeStudentTaskCore Idea3Algebra andFunctionsTask 2NecklacesWork with a sequence of bead patterns to describe how the sequencechanges, what its size might be given a certain number of beads, and thenwrite a formula to determine how many of each kind of bead would beneeded for any size necklace.Understand relations and functions, analyze mathematical situations,and use models to solve problems involving quantity and change. Relate and compare different forms of representation for arelationship including words, tables, and symbols Express mathematical relationships using expressions andequations Develop conceptual understanding of different uses of variables Use symbolic algebra to represent situations to solve problemsGrade 7 – 2005MARS Tasks - Grade 7pg.www.scoe.org/mars21Page 5
Grade 7 – 2005MARS Tasks - Grade 7pg.www.scoe.org/mars22Page 6
Grade 7 – 2005MARS Tasks - Grade 7pg.www.scoe.org/mars23Page 7
NecklacesGrade 7RubricThe core elements of performance required by this task are: work with a sequence of bead patterns write a formulaBased on these, credit for specific aspects of performance should be assigned as follows1.pointssectionpointsGives seven correct answers:3Partial credit6 or 5 correct answers4 or 3 correct answers2.3.(2)(1)Gives a correct explanation such as:Add 3 extra long beads for each extra square.1Gives a correct explanation such as:Add 2 extra round beads for each extra square.14(a) Gives correct answer: 12(b)5.3111Shows correct work such as:(37 – 1) 31Gives a correct answer: 261Gives a correct formula such as:B 5n 323Accept equivalent formulae.Partial creditB 5n orGives correct formulae for round and long beads separately.(1)2Total PointsGrade 7 – 2005MARS Tasks - Grade 7pg.www.scoe.org/mars1024Page 8
7th gradeStudentTaskCore Idea4Geometry andMeasurementTask 3TrapezoidsIdentify the properties of two two-dimensional shapes (trapezoid andparallelogram) and draw three different shapes made from twotrapezoids.Analyze characteristics and properties of two-dimensionalgeometric shapes; develop mathematical arguments aboutgeometric relationships. Understand relationships among the angles, side lengths,perimeters, and areas of shapes Develop and critique inductive and deductive argumentsconcerning geometric ideas and relationshipsGrade 7 – 2005MARS Tasks - Grade 7pg.www.scoe.org/mars41Page 9
Grade 7 – 2005MARS Tasks - Grade 7pg.www.scoe.org/mars42Page 10
Grade 7 – 2005MARS Tasks - Grade 7pg.www.scoe.org/mars43Page 11
TrapezoidsGrade 7RubricThe core elements of performance required by this task are: identify the properties of shapes draw shapes made from othersBased on these, credit for specific aspects of performance should be assigned as followspoints1.a. Gives correct answer: parallelogram1b. Draws a correct line:1sectionpoints22.Gives correct answers:47 correct rowsPartial credit6 correct rows5 or 4 correct rows3 or 2 correct rows3.(3)(2)(1)See below for some of the correct possibilities. Do not accept the shapegiven. Allow 1 point for each correct shape.43x13Total PointsGrade 7 – 2005MARS Tasks - Grade 7pg.www.scoe.org/mars944Page 12
7th gradeStudentTaskCore Idea5StatisticsTask 4DucklingsFill in a frequency chart showing the results of a duckling surveytaken by a nature club. Calculate twp measures of center and thendetermine how to change the number of ducklings surveyed but notchange the mean number of ducklings in the sample.Students deepen their understanding of statistical methods usedto display, analyze, compare and interpret different data sets Make predictions and justify conclusions that are based ondata Construct a frequency distribution for a given set of data Analyze data, including finding measure of center and spread,presented in a frequency distribution Organize and consolidate mathematical thinking throughcommunicationGrade 7 – 2005MARS Tasks - Grade 7pg.www.scoe.org/mars57Page 13
Grade 7 – 2005MARS Tasks - Grade 7pg.www.scoe.org/mars58Page 14
Grade 7 – 2005MARS Tasks - Grade 7pg.www.scoe.org/mars59Page 15
DucklingsGrade 7RubricThe core elements of performance required by this task are: fill in a frequency chart work with median and meanpointsBased on these, credit for specific aspects of performance should be assigned as follows1.sectionpointsGives correct answer:112.3.4.Gives correct answer: 51Shows correct work such as:There are 19 families. The middle family (the 10th one) has 5 ducklings.1Gives correct answer: 61Shows correct work such as: 114 1911Gives correct answer: 61Gives a correct explanation such as:For the mean to stay the same, the extra number has to equal the mean.orShows a correct calculation23128Total PointsGrade 7 – 2005MARS Tasks - Grade 7pg.www.scoe.org/mars60Page 16
7th gradeTask 5SneakersStudentTaskDetermine the retail price of sneakers when given the sale price.Explain how to correctly and incorrectly calculate the retail pricebefore the sale. Communicate why adding ten percent to a price andthen subtracting ten percent from the new price does not give theoriginal price.Core IdeaUnderstand number systems, the meanings of operations, and1ways of representing numbers, relationships, and numberNumber and systems.Operation Understand and use the inverse relationships of operations tosolve problems Work flexibly with fractions, decimals, and percents to solveproblems Analyze and evaluate the mathematical thinking and strategiesof others Communicate their mathematical thinking clearly andcoherentlyGrade 7 – 2005MARS Tasks - Grade 7pg.www.scoe.org/mars74Page 17
Grade 7 – 2005MARS Tasks - Grade 7pg.www.scoe.org/mars75Page 18
SneakersGrade 7RubricThe core elements of performance required by this task are: solve reverse percentage problemspointsBased on these, credit for specific aspects of performance should be assigned as follows1.Gives correct answer: Janesectionpoints1Gives a correct explanation including:2) Kate was wrong because she calculated 20% of the reduced pricenot 20% of the original price.1b) Jane saw that 44 was 80% of the original price 44 is the reduced price, which is 80% of the original price1To get both explanation points, either a or b must make reference to theoriginal price.32.Gives a correct verbal explanation such as:10% of a the increased price is bigger than 10% of the original price.2or a specific example such as:or 100 10% 110 110 – 10% 992Total PointsGrade 7 – 2005MARS Tasks - Grade 7pg.www.scoe.org/mars2576Page 19
Seventh GradeCore IdeaMARS 2006Overview of ExamTask DescriptionsTaskSquare TilesNumber and OperationThis task asks students to recognize and interpret geometric patterns, compare areasand use ratios in the context of a visual pattern. Successful students could extend thepattern and write a ratio for the area of the tiles and a ratio comparing the number ofdifferent colored tiles in the pattern.Number and Operations PhotographsThis task asks students to reason about geometric relationships in a diagram and useproportions to find missing dimensions of a photograph. Successful students coulduse proportional reasoning to find the dimensions of photographs that had beenreduced in size and use those dimensions to find the size of the paper containingmultiple photographs.Pizza CrustsGeometry andMeasurementThis task asks students to find areas and perimeters of rectangular and circular shapesin a practical context. Successful students could reason about the area and perimeterof squares and rectangles. Students working at a high level could find the area of acircle and work backwards from the area to find the diameter and circumference ofthe circle.Number and Operations Buying a CameraThis task asks students to work with percentage increase and decrease in the contextof tax on buying a camera. Develop mathematical arguments for finding the tax whentotal price and tax rate are given. Successful students use percents to calculate salestax. Students could also work backwards to find the percent of tax given the tax andoriginal cost.Mean, Median, Mode and RangeStatisticsThis task asks students to identify mean, median, mode and range of a distributionfrom its bar graph. Successful students could calculate mean and mode from data on abar graph and match the graph to a statistical table.1Grade Seven – 2006(c) Noyce Foundation 2006. To reproduce this document, permission must be granted by the Noyce Foundation:info@noycefdn.org.MARS Tasks - Grade 7www.scoe.org/marsPage 20
4Grade Seven – 2006(c) Noyce Foundation 2006. To reproduce this document, permission must be granted by the Noyce Foundation:info@noycefdn.org.MARS Tasks - Grade 7www.scoe.org/marsPage 21
Square TilesRubricThe core elements of performance required by this task are: recognize and interpret geometric patterns work with ratiospointssectionpointsBased on these, credit for specific aspects of performance should be assigned as follows1.Draws 6 correct squares: no extra incorrect tiles12.(a) Gives correct answer: 1 : 1 : 1 accept n:n:n1(b) Gives correct answer: 1 : 4 : 9 accept multiples29(c) Gives correct answer: /14 accept 81/126 or 0.642(8)2Total Points1565Grade Seven – 2006(c) Noyce Foundation 2006. To reproduce this document, permission must be granted by the Noyce Foundation:info@noycefdn.org.MARS Tasks - Grade 7www.scoe.org/marsPage 22
24Grade Seven – 2006(c) Noyce Foundation 2006. To reproduce this document, permission must be granted by the Noyce Foundation:info@noycefdn.org.MARS Tasks - Grade 7www.scoe.org/marsPage 23
25Grade Seven – 2006(c) Noyce Foundation 2006. To reproduce this document, permission must be granted by the Noyce Foundation:info@noycefdn.org.MARS Tasks - Grade 7www.scoe.org/marsPage 24
PhotographsRubricThe core elements of performance required by this task are: use proportion in a real life geometric contextBased on these, credit for specific aspects of performance should be assigned as follows1.Diagram 1:The height of the smaller copy 1/2 of 6 inches 3 inchessectionpoints1Uses proportional reasoning correctly:Height/width 6/4 3/width or Size of photo/Size of copy 6/3 4/widthWidth 2 inchesAccept verbal reference to scaling if answer correct.Diagram 2:The width of the smaller copy 1/2 of 6 inches 3 inches111Uses proportional reasoning correctly:Height/width 6/4 height/3Height 4 1/2 inchesAccept verbal reference to scaling if answer correct.2.points116Gives correct answers:Diagram 1: 6 inches wide, 6 inches high1Diagram 2: 8.5 inches wide, 6 inches high1Total Points2826Grade Seven – 2006(c) Noyce Foundation 2006. To reproduce this document, permission must be granted by the Noyce Foundation:info@noycefdn.org.MARS Tasks - Grade 7www.scoe.org/marsPage 25
41Grade Seven – 2006(c) Noyce Foundation 2006. To reproduce this document, permission must be granted by the Noyce Foundation:info@noycefdn.org.MARS Tasks - Grade 7www.scoe.org/marsPage 26
42Grade Seven – 2006(c) Noyce Foundation 2006. To reproduce this document, permission must be granted by the Noyce Foundation:info@noycefdn.org.MARS Tasks - Grade 7www.scoe.org/marsPage 27
Pizza CrustsRubricThe core elements of performance required by this task are: find areas and perimeters of rectangular and circular shapes in a practical contextBased on these, credit for specific aspects of performance should be assigned as follows1.Gives correct answers:A: 20 inchesand shows work such as: 5 x 4B: 24 inchesand shows work such as: 8 x 2 plus 4 x 2C: 28.3 inches accept 28 - 29and shows work such as: 9 x 3.sectionpoints111Partial creditThree correct answers –no work shown2.points(1)(a) Gives correct answer: 24 inches1(b) Labels a rectangular pizza with dimensions such as:12 x 3 36 This has a perimeter of 30 inches.9 x 4 36 This has a perimeter of 26 inches.11Gives correct answer: 21.4 inches (accept 21 inches)1Gives correct explanation such as:If r2 36r 3.4C x 2 x 3.4 21.4331Partial creditFinds radios r 3.4(1)Total Points2843Grade Seven – 2006(c) Noyce Foundation 2006. To reproduce this document, permission must be granted by the Noyce Foundation:info@noycefdn.org.MARS Tasks - Grade 7www.scoe.org/marsPage 28
72Seventh Grade – 2006(c) Noyce Foundation 2006. To reproduce this document, permission must be granted by the Noyce Foundation:info@noycefdn.org.MARS Tasks - Grade 7www.scoe.org/marsPage 29
73Seventh Grade – 2006(c) Noyce Foundation 2006. To reproduce this document, permission must be granted by the Noyce Foundation:info@noycefdn.org.MARS Tasks - Grade 7www.scoe.org/marsPage 30
Buying a CameraRubricThe core elements of performance required by this task are: work with percentage increase and decreaseBased on these, credit for specific aspects of performance should be assigned as follows1.2.pointsGives a correct answer: 57.241Shows correct work such as:54 x 0.06 3.24 and 54 3.24 or 54 x 1.061(a) Gives a correct answer: 4.05andShows correct work such as:58.05 - 54sectionpoints21(b) Gives a correct answer: 7.5%1Shows correct work such as:4.05 54 x 100133.(a) Gives a correct explanation such as: 56.16 is 108% of the price before tax, so you divide by 108 andmultiply by 100.1(b) Gives a correct answer: 521Shows a correct calculation such as:56.16 108 x 10013Total Points874Seventh Grade – 2006(c) Noyce Foundation 2006. To reproduce this document, permission must be granted by the Noyce Foundation:info@noycefdn.org.MARS Tasks - Grade 7www.scoe.org/marsPage 31
97Grade Seven – 2006(c) Noyce Foundation 2006. To reproduce this document, permission must be granted by the Noyce Foundation:info@noycefdn.org.MARS Tasks - Grade 7www.scoe.org/marsPage 32
98Grade Seven – 2006(c) Noyce Foundation 2006. To reproduce this document, permission must be granted by the Noyce Foundation:info@noycefdn.org.MARS Tasks - Grade 7www.scoe.org/marsPage 33
Mean, Median, Mode and RangeRubricThe core elements of performance required by this task are: identify mean, median, mode and range of a distribution from its bar graphBased on these, credit for specific aspects of performance should be assigned as followspointssectionpoints1.Finds that for Bar graph A the mean is 41Gives correct answer:Bar graph A matches Statistics table B122.Finds that for Bar graph B the mean is 31Gives correct answer:Bar graph B matches Statistics table C123.Finds that for Bar graph C the mean is 31Gives correct answer:Bar graph C matches Statistics table D124.Finds that for Bar graph D the mean is 41Gives correct answer:Bar graph D matches Statistics table A1Finds that the mode of Statistics table C is 11Finds that the mode of Statistics table D is 21Total Points221099Grade Seven – 2006(c) Noyce Foundation 2006. To reproduce this document, permission must be granted by the Noyce Foundation:info@noycefdn.org.MARS Tasks - Grade 7www.scoe.org/marsPage 34
Seventh GradeCore IdeaMars 2007Overview of ExamTaskTask DescriptionsScoreWorkNumber and OperationThis task asks students to recognize and interpret the meaning of calculations in arealistic context. Students needed to think about how to calculate dollars earned perminute, per day, and per week. Students were also asked how to calculate the time toearn one dollar, the number of hours worked per year, and how to find the cost of a10% raise.Suzi’s CompanyStatisticsThis task asks students to calculate mean, median, and mode using a table of dataabout number of employees, annual salary, and total salaries. Successful studentsunderstood that these measures needed to be calculated by thinking about both thenumber of employees and their individual salaries, not from the types of salaries orthe totals.JourneyAlgebra and FunctionsThis task asks students to read information about speeds and time traveled on ajourney to make a table of elapsed time and graph the data from the table. Studentswere also asked to read information from their graph. Successful students could alsouse the data and the formula d rt to find the average speed for the entire journey.ParallelogramsGeometry andMeasurementThis task asks students to use a ruler to measure sides and heights of parallelogramsand triangles. Students were asked to use these measurements to find and compareareas and perimeters. Successful students could also draw a right triangle with thesame area as a given triangle.Mystery LettersAlgebraThis task asks students to form and solve equations about variables in the context of anumber puzzle. Successful students were able to use logic to determine which letterswould be easiest to solve for first from the given clues.th7 grade – 20071Copyright 2007 by Noyce FoundationResource Service. All rights reserved.MARS Tasks - Grade 7www.scoe.org/marsPage 35
WorkThis problem gives you the chance to: understand the meaning of some calculations in a realistic contextJake works for 7 hours a day, 5 days a week, 48 weeks a year.He is paid 15.64 an hour.1. Draw a line to match each statement with its calculation.StatementsCalculationsNumber of dollars earned each minute7 " 5 " 48Number of dollars earned each day6015.64!Number of dollars earned each week!Time taken to earn one dollar!!Number of hours worked each year15.646015.64 " 7 " 515.64 " 7!2. Jake gets a 10% raise.Write a calculation for his pay per hour after the raise.7Copyright 2007 by Mathematics AssessmentResource Service. All rights reserved.MARS Tasks - Grade 7Page 4www.scoe.org/marsWork Test 7Page 36
MAC RUBRICS 2007 Test 7WorkRubricThe core elements of performance required by this task are: understand the meaning of some calculations in a realistic contextpointssectionpoints5x15Based on these, credit for specific aspects of performance should be assigned as follows12Correct matching – see belowGives a correct calculation such as110 15.64100210 15.64 15.64 or equivalent100!Partial creditAccept(1)Gives answer 17.20 but does not show calculation.! or shows 15.64 x 0.12Total PointsNumber of dollars earned each minute7 " 5 " 48Number of dollars earned each day6015.64!Number of dollars earned each week!715.646015.64 " 7 " 5Time taken to earn one dollarNumber of hours worked each year!15.64 " 7!!Copyright 2007 by Mathematics AssessmentResource Service. All rights reserved.MARS Tasks - Grade 7Page 5www.scoe.org/marsWork Test 7Page 37
Suzi’s CompanyThis problem gives you the chance to: calculate and interpret mean, medium and mode in a given table of realistic dataSuzi is the chief executive of a small company, TechScale, which makes technicalinstruments. Fifteen people, including Suzi, work in the company. The table shows the jobsand their annual salaries.Number ofpeopleJob TitleAnnual salaryTotalChief Executive1 100 000Marketing Manager1 80 000Production Manager1 80 000Technician3 50 000 150 000Office worker2 40 000 80 000Assembly worker5 30 000Cleaner2 20 000Total15 100 000Total1. a. Complete the final column of the table to find the total annual salary bill forTechScale.b. Use your answer to question 1a to calculate the mean annual salary for the 15employees in the company. Give your answer correct to the nearest . Show your calculations.Copyright 2007 by Mathematics AssessmentResource Service. All rights reserved.MARS Tasks - Grade 7Page 19www.scoe.org/marsSuzi’s Company Test 7Page 38
2. John looks at the table and says, “The mode of the salary at TechScale is eighty thousand dollarsa year.”a. What mistake has John made?b. What is the correct mode of the salary?3. a. What is the median annual salary at TechScale?b. Explain how you figured it out.4. Which of the three averages, mean, median or mode, would you use to show that the averagewage at TechScale is very good?Explain your answer.5. Last year, TechScale did not do very well so Suzi decided not to pay herself any salary for a year.Which of the averages (mean, median and mode) will not change?10Copyright 2007 by Mathematics AssessmentResource Service. All rights reserved.MARS Tasks - Grade 7Page 20www.scoe.org/marsSuzi’s Company Test 7Page 39
Suzi’s CompanyRubricThe core elements of performance required by this task are: calculate and interpret mean, median and mode in a given table of realistic datapointssectionpointsBased on these, credit for specific aspects of performance should be assigned as follows1.abTable completed correctly.1Gives correct answer: total 680 0001Gives correct answer: 45 333and shows calculation1ft6800001532.aGives correct explanation such as: He has not looked at how many peopleearn each salary1bGives correct answer: 30 00013.aGives correct answer: 40 000b4.21thThere are 15 people. The middle person, the 8 person, gets 40 000.This point is dependent on giving a correct answer to 3.a.1Gives correct answer: Mean1ftGives correct explanation such as: That is the highest of the three.1ft225.aGives correct answer: Mode1Total PointsCopyright 2007 by Mathematics AssessmentResource Service. All rights reserved.MARS Tasks - Grade 7Page 21www.scoe.org/mars110Suzi’s Company Test 7Page 40
JourneyThis problem gives you the chance to: draw and interpret a graph of speed, distance and timeHere is a description of a car journey.“I left home at 2:00 hours. I traveled for half an hour at forty miles an hour,then for an hour at fifty miles an hour. I had a half hour stop for lunch, then Itravelled for two hours at fifty-five miles an hour.”1. Complete this table showing the distances traveled by the end of each stage of my journey.Time in hoursDistance from home in miles2.2:0002:303:304:006:00Draw a distance-time graph for this journey on the grid below.240Distance from home in yright 2007 by Mathematics AssessmentResource Service. All rights reserved.MARS Tasks - Grade 73:304:00Time in hours4:30Page 40www.scoe.org/mars5:005:306:00Journey Test 7Page 41
3. What is the average speed for the whole journey?Explain how you figured it out.4. Use your graph to find:a. How far from home I had traveled by 5:15.milesb. At what time I had traveled 60 miles from home.7Copyright 2007 by Mathematics AssessmentResource Service. All rights reserved.MARS Tasks - Grade 7Page 41www.scoe.org/marsJourney Test 7Page 42
JourneyRubricThe core elements of performance required by this task are: draw and interpret a graph of speed, distance and timepointssectionpointsBased on these, credit for specific aspects of performance should be assigned as follows1.Table correctly completed:2ftPartial credit2.1 error(1)Graph correctly drawn2ft2Partial credit1 or 2 errors3.(1)Gives correct answer: 45 mphand shows 180 41ft21Gives correct answers:4.abAbout 140 miles1ftAbout 3:20. In the correct interval on graph.1ftTotal PointsCopyright 2007 by Mathematics AssessmentResource Service. All rights reserved.MARS Tasks - Grade 7Page 42www.scoe.org/mars27Journey Test 7Page 43
ParallelogramThis problem gives you the chance to: use measurement to find the area and perimeter of shapes1. This parallelogram is drawn accurately.The area of a parallelogram base x heightMake any measurements you need, in centimeters,and calculate:a.The area of the parallelogram.Show your calculations.b.The perimeter of the parallelogram.Show your calculations.2.The diagram below shows the same parallelogram again.a.Find the area of Triangle A.b.Find the area of Triangle B.c.Explain how you found your answers.Triangle ATriangle BCopyright 2007 by Mathematics AssessmentResource Service. All rights reserved.MARS Tasks - Grade 7Page 57www.scoe.org/marsJourney Test 7Page 44
3.Which triangle has a larger perimeter, Triangle A or Triangle B?Explain how you can tell without measuring.4.Sketch a right triangle with the same area as Triangle A.Your diagram does not need to be accurate.Show how you figured it out.9Copyright 2007 by Mathematics AssessmentResource Service. All rights reserved.MARS Tasks - Grade 7Page 58www.scoe.org/marsJourney Test 7Page 45
Task 4: ParallelogramRubricThe core elements of performance required by this task are: use measurement to find the area and perimeter of shapespointssectionpointsBased on these, credit for specific aspects of performance should be assigned as follows1.a Gives correct answer in the range 33-39 square centimeters.1Shows correct work such as: 7 x 5 or 6 x 6.Accept reasonable measurements shown on diagram.1b Gives correct answer in the range 24-28 centimetersand shows work such as 2(6 7).Accept reasonable measurements shown on diagram.12.a Gives correct answer 17.5 square centimetres. Accept half of 1.ab Gives correct answer: 17.5 square centimetres. Accept half of 1.ac Gives correct explanation such as: They are both equal to half the area of theparallelogram3.4.Gives correct answer such as: Triangle B: both triangles have sides thatmatch the two sides of the parallelogram. The third side of B is longer thanthe third side of A.Sketches a correct triangle and shows correct work such as:The area of the triangle 1/2 base x height 17.5.base x height 35So if the base 7 cm then the height 5 cm31ft1ft13112ft2Note: Deduct 1 point for missing or incorrect units. (Need to show someevidence that are is measured in square units and that perimeter is a linearmeasure.Total PointsCopyright 2007 by Mathematics AssessmentResource Service. All rights reserved.MARS Tasks - Grade 7Page 59www.scoe.org/mars9Journey Test 7Page 46
Mystery LettersThis problem gives you the chance to: form and solve equationsAAAA8EBFC17ADAD16BAGC119111418In this table, each letter of the alphabet represents a different number.The sum of the numbers in each row is written on the right hand side of the table.The sum of the numbers in each column is written below the table.Find the number represented by each letter.A B C D E F G Show how you figured it out.7Copyright 2007 by Mathematics AssessmentResource Service. All rights reserved.MARS Tasks - Grade 7Page 80www.scoe.org/marsMystery Letters Test 7Page 47
Task 5: Mystery LettersRubricTh
MARS Tasks Grade 7 Page Name of MARS Task Year Math Strand Notes * Mixing Paints 2003 NO Ratios, percents fractions, decimals * Hexagons 2003 AF Give rule, formula for growing pattern . square yards per minute 5 Necklaces 2005 AF Growing pattern, formulas for beads 9 Trapezoids
