ISA Mathematical Literacy Sample Materials Grade 3 Grade 4 .

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ISAMathematical LiteracySample MaterialsGrade 3Grade 4Grade 5Sample

ISA Mathematical Literacy Sample MaterialsGrade 3, Grade 4 and Grade 5This collection of mathematical literacy sample materials represents a typical range of mathematicsmaterial in ISA tests from Grade 3 to Grade 5. The purpose of this collection is to show teachersexamples of the kinds of mathematical literacy that are used in the ISA.Questions in contextThis collection has 5 Units containing a total of 11 questions. Each Unit establishes a context for thequestions associated with it. An actual ISA mathematical literacy test has 15-20 Units set in a widevariety of contexts, with a total of 30-35 questions.The pages following the sample Units show the classification, descriptor and marking guide for eachquestion.Classification of questionsQuestions are classified by competency –Reproduction, Connection or Reflectionand by content –Quantity, Change and Relationships, Space and Shape, or Uncertainty.Question descriptorsThe descriptors for each question provide the basis for the described scales of achievement onwhich ISA results are reported.Question formatThis collection has 5 multiple-choice questions and 6 open-ended questions requiring students towrite a response. An actual ISA test has approximately 50 per cent multiple-choice questions and50 per cent open-ended questions. Some of the open-ended questions only require a short answer,others require a calculation or an explanation. Examples of both kinds of open-ended questions areincluded. The marking guide shows how the open-ended questions are scored.This collection of materials is not a test.The materials in this collection have NOT been selected to represent the typical range of difficultyof an ISA test. An actual ISA test is carefully constructed to ensure that the range of difficulty of thequestions reflects the range of mathematical ability of the population for each grade.The materials in this collection cover Grades 3, 4 and 5. Some materials may be too hard for Grade 3and some materials may be too easy for Grade 5. If a teacher wants to use some of these materialsfor students to practise on, it is important that the teacher only selects the Units that are of anappropriate level of difficulty for their students.Teachers should use this material as a model. Teachers can develop questions that assess similarkinds of skills using their own mathematics materials.Other ISA Sample Mathematical Literacy Collections: Grades 5, 6 and 7 Grades 7, 8, 9 and 10.

Toy Prices32 zeds23 zeds19 zeds12 zedsL030111Toys at the shop cost 32 zeds, 12 zeds, 19 zeds and 23 zeds.Write these prices in increasing order.zeds,zeds,Page 1zeds,zeds.

Wet DaysThis graph shows the numberof wet days during March, April,May and June.Wet days10Number of wet days9876543210MarchAprilMayJuneMonths of the yearL130712Which two months together had 13 wet days? March and AprilApril and MayMay and JuneMarch and JuneWet days10L130723 In July there were ninewet days.Complete the graph toinclude July.Number of wet days9876543210MarchAprilMayJuneMonths of the yearL130734 Which month had the smallest number of wet days? MarchAprilMayJunePage 2July

The WindowsTeresa looked in the windows of the apartment across her street.This is what she saw.Third floorSecond floorFirst floorGround floorM0511115What can be seen in the second floor window third from the left? M0511126Which window has a in it?The ground floor window, first from the leftThe first floor window, second from the rightThe second floor window, second from the leftThe third floor window, first from the leftThe third floor window, second from the leftPage 3

Treasure HuntA teacher has organised a Treasure Hunt for her class.This is a map of the school.Church RoadGlastonbury Drive1Car B236100 m59870 10 20 30 40 50949S35014N7Car A123456789TooduluPrimary SchoolHall & After School CareAdministrationYears Six & SevenLibraryYears Two & ThreeYears Four & FiveYear Prep.Year OneProposed ClassroomsSportsfield About how far do the students need to walk from the centre of thesports field to the treasure at 6?mS350138 A driver in Car A, heading north on Church Road, wishes to enterthe car park off Church Road and park next to Car B.Which turns should the driver make? Turn left, turn left, turn rightTurn right, turn left, turn rightTurn right, turn left, turn leftTurn right, turn right, turn leftTurn right, turn right, turn rightPage 4

Bean PlantWeek 1 Week 2Week 3Week 4Angelique measured the height of a bean plant each Saturday forfour weeks.Her measurements are shown in the table.Week1234DateMarch 1March 8March 15March 22Height2 cm8 cm14 cm20 cmUse this calendar to answer the next two 825MarchWT5121926MayT 9162330S310172431Page 5SM61320277142128T18152229AprilWT239 1016 1723 2430F4111825S5121926

Bean PlantS330319 What height would you expect Angelique’s plant to be on SaturdayApril 5 if it keeps growing in the same way?cmS3303210 On what date would you expect Angelique’s plant to reach 50 cmif it keeps growing in the same way?Angelique’s friend Emile started measuring a different bean planton Saturday in Week 1 also.He decided to make a graph of the growth of his plant.Height (cm)Emile’s plant growthS3303430252015105001243Weeks5611 In which week did Angelique’s plant have the same height asEmile’s plant?Page 6

Marking Guides Grade 3, Grade 4 and Grade 5TOY PRICESQ1 Toys at the shop cost 32 zeds, 12 zeds, 19 zeds and 23 zeds. Write these pricesin increasing iptor:List four 2-digit numbers in increasing order.Marking guideCode 212, 19, 23, 32Code 132, 23, 19, 12 (decreasing order)Code 0OtherCode 9MissingWET DAYSQ2Q3Which two months together had 13 wet criptor:Find two columns that add to a given value on a simple column graph.Key:D – March and JuneIn July there were nine wet days.Complete the graph to include criptor:Completes a bar graph to represent a given frequency.Page 7

Marking GuideWet days10Number of wet days9876543210MarchAprilMayJuneJulyMonths of the yearCode 1 As shown (line added)Dotted lines show acceptable rangeQ4Code 0OtherCode 9MissingWhich month had the smallest number of wet criptor:Find the least frequent category by interpreting a simple column graph.Key:B – AprilPage 8

THE WINDOWSQ5What can be seen in the second floor window third from the left?Competency:ReproductionContent:Shape and SpaceDescriptor:Use location language to identify position.Key:Q6Which window has ain it?Competency:ReproductionContent:Shape and SpaceDescriptor:Use location language to identify position.Key:D – The third floor window, first from the leftTREASURE HUNTQ7 About how far do the students need to walk from the centre of the sports field tothe treasure at 6?Competency:ConnectionContent:Shape and SpaceDescriptor:Estimate distance in metres on a map using a simple scale.Marking guideCode 1Any answer between 110 and 130Code 0OtherCode 9MissingQ8 A driver in Car A, heading north on Church Road, wishes to enter the car park offChurch Road and park next to Car B.Which turns should the driver make?Competency:ReproductionContent:Shape and SpaceDescriptor: Read a map and determine the turn directions (left/right) needed to getfrom point A to point B.Key:D – Turn right, turn right, turn leftPage 9

BEAN PLANTQ9 What height would you expect Angelique’s plant to be on Saturday April 5 if itkeeps growing in the same way?Competency:ReproductionContent:Change and RelationshipsDescriptor: Find a value on a given date, combining information from a calendarand a table showing a pattern of growth.Marking guideQ10Code 132Code 0Other, including marks/calculations on the previous pageCode 9Missing (i.e. no marks on either page)O n what date would you expect Angelique’s plant to reach 50 cm if it keepsgrowing in the same way?Competency:ConnectionContent:Change and RelationshipsDescriptor: Given a new value, extrapolate from a table showing a pattern ofgrowth to find a date on a calendar.Marking guideQ11Code 1April 26 or just ‘26’ or ‘April 20–26’Code 0Other, such as week 9Code 9MissingIn which week did Angelique’s plant have the same height as Emile’s plant?Competency:ConnectionContent:Change and RelationshipsDescriptor:Compare growth data in a table with those in a linear graph.Marking guideCode 1Week 4 (or just ‘4’) or March 22Code 0OtherCode 9MissingPage 10

Grade 3, Grade 4 and Grade 5 This collection of mathematical literacy sample materials represents a typical range of mathematics material in ISA tests from Grade 3 to Grade 5. The purpose of this collection is to show teachers examples of the kinds of mathematical literacy that are used in the ISA.

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