fifth grade math - fitzgerald public schoolsfitz.k12.mi.us/pdfs/schools and programs/westview... ·...

Form A (Master Copy)

Teacher Version

Fifth Grade Math

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DataDirector Assessment ID: 92878 Page 1 of 16 © 2011 Houghton Mifflin Harcourt. All rights reserved.

Directions: Please choose the best answer choice for each of the following questions.

1. Using the diagram below, which is closest to the valueof the expression below?

A. 90o

B. 100o

C. 180o

D. 360o

Answer Choice Rationale

A. No rationale available

B. No rationale available

C. Correct

D. No rationale available

ItemID whayes.1220437Correct CStandard(s) MA.5.G.GS.05.05

2. Raymond played with a game spinner shown belowand realized that he could see angles in differentsections of the spinner?

The angles in which sections have measures thatappear to have a sum of 360 degrees?

A. A and B

B. E and B

C. F, A, and B

D. A, B, C, D, E, and F




C. No rationale available

D. Correct

ItemID whayes.1220597Correct DStandard(s) MA.5.G.GS.05.05




3. Jane ate a piece of pie, as shown below.

• What fraction of the pie does Jane haveleft over? Show or explain how to find theanswer.

• How many more pieces of pie this size canJane eat before the pie is finished? Show allwork.

Use words, numbers, and/or pictures to show yourwork. Write your answer(s) on the paper provided.

ItemID A2K.1102735Correct -Standard(s) MA.5.G.GS.05.05, MA.5.5.NF.2

SCORING RUBRIC

2 Response is correct. Work indicates a clear andcomplete understanding of the problem withcorrect labels and/or description, if necessary.Appropriate strategy is shown.

Correct Answers:

• of the pie is left for Jane to eat.

To find the fraction of the pie that Jane has eaten,

the number of degrees eaten (60o) should be divided

by the total number of degrees in a circle (360o), asfollows:

Therefore, Jane ate of the pie. To find out how

much pie is left, the amount that Jane ate has to besubtracted from the whole amount (1 pie):

. Therefore, of the pie is left

over.

or equivalent work

•Jane ate of the pie. To eat the

whole pie, Jane would have to eat 5more pieces of this size since 1 is already

eaten. This is because if is added

to itself 6 times, it gives a total of 1, asshown:

or equivalent work

1 Response is correct. Work indicates a partialunderstanding of the problem. A strategy is shownbut with minor errors.

OR

Response is incorrect because of calculationerrors. Work and strategy indicate a clearunderstanding of the problem.

0 Response is irrelevant, inappropriate, or notprovided.

SCORING RUBRIC

3 Response is correct. Work indicates a clear andcomplete understanding of the problem withcorrect labels and/or description, if necessary.Appropriate strategy is shown with correctanalysis.

Correct Answers:

• of the pie is left for Jane to eat.

To find the fraction of the pie that Jane has eaten,

the number of degrees eaten (60o) should be divided

by the total number of degrees in a circle (360o), asfollows:




Therefore, Jane ate of the pie. To find out how

much pie is left, the amount that Jane ate has to besubtracted from the whole amount (1 pie):

. Therefore, of the pie is left

over.

or equivalent work

•Jane ate of the pie. To eat the whole

pie, Jane would have to eat 6 pieces of

this size. This is because if is added

to itself 6 times, it gives a total of 1, asshown:

or equivalent work

2 Response is correct. Work indicates a partialunderstanding of the problem. A strategy is shownbut with minor errors.

OR

Response is incorrect because of calculationerrors. Work and strategy indicate a clearunderstanding of the problem.

1 Response is incorrect. Work indicates minimal orno understanding of the problem. A strategy maybe shown but has major errors.

0 Response is irrelevant, inappropriate, or notprovided.

4. This book was left open on the desk.

What is a reasonable estimate for the angle formed bythe open cover of the book?

A. 120°

B. 140°

C. 180°

D. 270°


A.The student did not recognize that there are 180degrees in a straight angle, not 120 degrees.

B.The student was unable to identify that there are180 degrees in a straight angle, not 140 degrees.

C. Correct answer.

D.

The student confused the number of degrees ina straight angle, because a 270-degree angleis greater than a straight angle, which has 180degrees.

ItemID A2K.1061785Correct CStandard(s) MA.K-4.M.1.c, MA.5.G.GS.05.05

5. Which items are equivalent?

A.

B.

C.

D.


A. 400 ml is equal to .4 liters.

B. Correct answer.

C. 300 ml is equal to 300 cm3.




D. 5,000 cm3 is equal to 5 liters.

ItemID A2K.1221747Correct BStandard(s) MA.5.M.UN.05.01, MA.5.5.MD.1

6. Which is equivalent to 1 liter?

A.

B.

C.

D.


A. There are 1000 ml in 1 liter.

B.The student misunderstood that 1 cubic cm = 0.1liters.

C. Correct answer.

D.The student did not know that ml is already ameasure of volume.

ItemID A2K.1221748Correct CStandard(s) MA.5.M.UN.05.01, MA.5.5.MD.1

7. How many liters is equal to?

A. 2.5

B. 25

C. 250

D. 2,500


A. Correct answer.

B. The student believes 1 ml = .01 liters.

C.The student mistakenly thinks that 1 ml = .1liters.

D.The student mistakenly believes liter and ml arethe same.

ItemID A2K.1221749Correct AStandard(s) MA.5.M.UN.05.01, MA.5.5.MD.1

8. Jasmine bought a 2-liter bottle of soda. How manymilliliters of soda were in the bottle?

A. 20 milliliters

B. 200 milliliters

C. 2,000 milliliters

D. 20,000 milliliters


A.In finding the number of mL in the bottle, 1 literwas incorrectly converted to 10 mL.

B.In finding the number of mL in the bottle, 1 literwas incorrectly converted to 100 mL.

C. Correct answer

D.In finding the number of mL in the bottle, 1 literwas incorrectly converted to 10,000 mL.





Directions: Review the content below and answer the questions that follow

Room Areas

Todd needs to find the areas of several rooms in his house so that he can buy carpeting.

9. Carpet is sold by the square yard. What is the area insquare feet of one square yard of carpeting? (1 yard =3 feet)

A. 3 square feet

B. 6 square feet

C. 9 square feet

D. 12 square feet




C. Correct


ItemID A2KC.1199974Correct CStandard(s) MA.5.M.UN.05.04





Convert Volume Units

Colleen is in charge of making fruit punch for the class party. She only has a 1-cup measure.

1 gallon = 4 quarts

1 quart = 2 pints

1 pint = 2 cups

1 cup = 8 ounces

10. Colleen added 2 pints of fruit juice to the punch. Howmany ounces is this?

A. 8

B. 16

C. 32

D. 48




C. Correct







Items Around The House

As a class project, Kelsey is asked to measure items around her house.

11. Kelsey measured the length of her hallway as threeyards. How many feet is this?

A. 3 feet

B. 9 feet

C. 12 feet

D. 108 feet



B. Correct



ItemID A2KC.1200442Correct BStandard(s) MA.5.M.UN.05.04





Todd's Carpeting

Use the information below to answer the following questions. Todd needs to find the area of several rooms in his house sothat he can buy carpeting.

12. Carpet is sold by the square yard. What is the areain square feet of one square yard of carpeting?

A. 3 square feet

B. 6 square feet

C. 9 square feet

D. 12 square feet




C. Correct







Time with Grandparents

Joshua is going to visit his grandparents.

13. Joshua’s grandparents told him that in two days theywill go to a carnival. How many hours must Joshuawait before he can go the carnival?

A. 24

B. 36

C. 48

D. 60




C. Correct






Directions: Please choose the best answer choice for each of the following questions.

14. Miss Romero’s new car holds 4 quarts of engineoil. How many pints of engine oil does the car hold?

A. 2

B. 4

C. 8

D. 16


A.The student reversed the conversion. There are2 pints in 1 quart, not 1 pint in 2 quarts.

B.The student thought that 1 quart is equal to 1pint. 1 quart is equal to 2 pints.

C. Correct answer.

D.The student did not know that there are 2 pints,not 4 pints, in a quart.


15. Doug walks for minutes every day. If he can cover in minutes, how many meters does he walk in

minutes?

A.

B.

C.

D.





D. Correct

ItemID A2KC.1105877Correct DStandard(s) MA.5.M.UN.05.04

16. MaryAnn’s rubber-band-powered car traveled a totalof 16 yards, 2 feet. What is the total number of feet thecar traveled?

A. 18

B. 34

C. 50

D. 66


A.The student added 16 yards + 2 feet. He or shedid not convert 16 yards to 48 feet before adding.

B.The student thought that there were 2, not 3, feetin 1 yard. He or she multiplied 16 x 2 = 32 andadded 32 + 2 = 34 feet.

C. Correct answer.

D.The student thought that there were 4, not 3, feetin 1 yard. He or she multiplied 16 x 4 = 64 andadded 64 + 2 = 66 feet.


17. Jeremy planted a tree that is 42 inches tall. What isthe height of the tree in feet?

A. 3.2 feet

B. 3.5 feet

C. 3.6 feet

D. 4.2 feet



B. Correct



ItemID A2K.1012225Correct BStandard(s) MA.5.M.UN.05.04, MA.5.5.MD.1




18. How is 23.051 written in expanded form?

A.

B.

C.

D.




C. Correct


ItemID A2KC.1105803Correct CStandard(s) MA.5.N.ME.05.08

19. Look at the number below.

53.48

What is the value of 4?

A. forty

B. four

C. four tenths

D. four hundredths




C. Correct


ItemID A2K.1185633Correct CStandard(s) MA.5.N.ME.05.08

20. When Carlos rounded a number to the nearestten, it became 550. When he rounded it to the nearesthundred, the number became 600. Which of thesecould be the number Carlos rounded?

A. 545

B. 549

C. 552

D. 556


A.This could be the answer if the number roundedto the nearest hundred became 500, not 600.

B.When 549 is rounded to the nearest ten, itbecomes 550, but when it is rounded to thenearest hundred, it becomes 500, not 600.

C. Correct answer

D.When 556 is rounded to the nearest ten, itbecomes 560, not 550.

ItemID A2K.1048159Correct CStandard(s) MA.5.N.ME.05.08, MA.4.4.NBT.3

21. Which number below is greater than 3,987.2?

A. 3,986.99

B. 3,987.02

C. 3,987.09

D. 3,987.21





D. Correct

ItemID A2KC.1100254Correct DStandard(s) MA.5.N.ME.05.08

22. Mr. Saunders needs about 800 chairs set up for theconcert. Which of these numbers is closest to 800?

A. 748

B. 758

C. 858

D. 888


A.The student chose a number that would round to700 instead of 800.

B. Correct answer.

C.The student chose a number that would round to900 instead of 800.




D.The student chose a number that would round to900 instead of 800.

ItemID A2K.1048160Correct BStandard(s) MA.K-4.N.1.i, MA.5.N.ME.05.08, MA.4.4.NBT.3

23. Which of these numbers has a 3 in the hundredthsplace and a 4 in the ten-thousandths place?

A. 0.0354

B. 0.0734

C. 0.3142

D. 0.9345


A. Correct answer.

B.The student found a number with a 4 in thecorrect place, but the 3 is in the thousandthsplace rather than the hundredths place.

C.The student found a number with both the 3 andthe 4 off by one decimal place to the left.

D.The student found a number with a 3 in thecorrect place, but the 4 is in the thousandthsplace rather than the ten-thousandths place.

ItemID A2K.1048091Correct AStandard(s) MA.5.N.ME.05.08

24. Which number is equal to 17 tenths?

A. 0.17

B. 1.07

C. 1.7

D. 17.0




C. Correct


ItemID whayes.1220686Correct CStandard(s) MA.5.N.ME.05.08

25. The Richardson family drove 84.35 miles to alake. What is 84.35 in expanded form?

A.

B.

C.

D.


A.

The student does not know how to write anumber in expanded form. He or she wrotethe whole number and decimal as an additionsentence, but not as one that would equal 84.35.

B.The student added the digits that make up 84.35without regard to place value.

C.The student did not recognize that the digit 8equals 8 tens in this number.

D. Correct answer.

ItemID A2K.1051385Correct DStandard(s) MA.5.N.ME.05.08, MA.5.5.NBT.3.a

26.What is ?

A.

B.

C.

D.


A.The student multiplied by the whole numberinstead of the reciprocal.

B.The student used the reciprocals of both thedivisor and the dividend instead of using just thereciprocal of the dividend.

C. Correct answer.

D.The student used the reciprocal of the divisorinstead of the reciprocal of the dividend.

ItemID A2K.1185490Correct CStandard(s) MA.5.N.MR.05.13




27.What is ?

A.

B.

C.

D.


A.Instead of multiplying the denominators of thetwo fractions, the student first switched thedivisor and the dividend, and then divided them.

B.The student added the denominators of thedivisor and the dividend instead of multiplyingthem.

C. Correct answer.

D.The student calculated to be 60 instead of48.

ItemID A2K.1183480Correct CStandard(s) MA.5.N.MR.05.13

28.What is ?

A.

B.

C.

D.


A.The student left the dividend as the fractioninstead of using its reciprocal.

B.

The student subtracted the numerator of thefraction from the whole number, leaving thedenominator as three, instead of dividing thewhole number by the fraction.

C.The student added the two numerators anddenominators together instead of dividing thewhole number by the fraction.

D. Correct answer.

ItemID A2K.1185491Correct DStandard(s) MA.5.N.MR.05.13

29.Charlie is traveling along a -mile bike

path. After traveling of a mile, he stops to have some

water. How many miles are left on the bike path?

A.

B.

C.

D.


A. Correct answer.

B.

The student does not find a commondenominator to subtract the fractions. He orshe subtracts the numerators and adds thedenominators.

C.

The student finds a common denominator butdoes not multiply the numerators by the samefactor to get equivalent fractions. He or sheleaves the numerators as they are in the problemand adds them.

D.

The student does not find a commondenominator. He or she adds both thenumerators and denominators. The student doesnot recognize that this is a subtraction problem.

ItemID A2K.1019441Correct AStandard(s) MA.5.N.MR.05.19, MA.5.5.NF.1




30.Lainie buys pounds of apples. She also buys

pounds of grapes. How many pounds of fruit doesLainie have altogether?

A.

B.

C.

D.


A.The student does not recognize that this is anaddition problem and subtracts instead.

B.

The student does not know how to add mixednumbers with unlike denominators. He orshe added both the numerators and thedenominators, instead of finding a commondenominator and making equivalent fractions.

C.

The student found the correct commondenominator and added the whole numberscorrectly. However, the sum of the numerators isincorrect.

D. Correct answer.

ItemID A2K.1019442Correct DStandard(s) MA.5.N.MR.05.19, MA.5.5.NF.1

31.A painter was mixing paint. She put of a gallon of

white paint, of a gallon of blue paint, and of a

gallon of yellow paint in a 2-gallon bucket. How muchmore paint can the bucket hold?

A. gallon

B. gallon

C. gallon

D. gallons


A. Correct answer

B.

This is the sum of 6/10, 7/10, and the numeratorof 3/5 without converting to tenths. This incorrectanswer was found and then the necessarysubtraction was also not performed.

C.

The fractions were added and the correctanswer, 19/10, was found. This was thenincorrectly converted to 9/10. After finding thisincorrect sum, the necessary subtraction was notperformed.

D.

The 3 fractions were added and the correctanswer, 19/10, was found. This was thenincorrectly converted to 9/10. This incorrectresult was subtracted from 2 to obtain 1 1/10.

ItemID A2K.1116133Correct AStandard(s) MA.4.N.MR.04.28, MA.5.N.MR.05.19, MA.5.5.NF.2

32.Aaron rode his bike miles from his house to

school. He then rode miles from school to his

grandmother’s house. How far did he bike in all?

A. miles

B. miles

C. miles

D. miles


A.The student added the numerators anddenominators of the fractions, rather than findinga common denominator and then adding.

B.The student added 2-1/4 to 3 rather than adding2-1/4 to 3-1/8.

C. Correct answer.

D. The student incorrectly renamed 1/4 as 4/8.

ItemID A2K.1010908Correct CStandard(s) MA.5-8.N.3.f, MA.5.N.MR.05.19, MA.5.5.NF.1, MA.7.7.NS.3




33. Aaron added 1⁄3 cup of corn to 3⁄5 cup of peas.Howmuch mixed vegetables did Aaron have altogether?

A. 5⁄8 cup

B. 1⁄2 cup

C. 14⁄15 cup

D. 1 cup




C. Correct


ItemID DD.1000997Correct CStandard(s) MA.5.N.FL.05.14, MA.5.N.MR.05.19, MA.5.N.FL.05.20,MA.5.N.MR.05.21, MA.7.N.FL.07.08

34.

A.

B.

C.

D.





D. Correct

ItemID DD.1009068Correct DStandard(s) MA.5.N.ME.05.11, MA.5.N.MR.05.19, MA.6.N.ME.06.11

35.Mark ran miles on Monday and miles on

Tuesday. How far did he run altogether?

A. miles

B. miles

C. miles

D. miles


A.

The student made an error when adding thefractional parts of the mixed numbers. He orshe subtracted the fractional amounts instead ofadding them.

B.

The student made an error when adding thefractional parts of the mixed numbers. He orshe added the denominators as well as the

numerators and got instead of .

C.

The student made an error when adding thefractional parts of the mixed numbers. He or she

incorrectly renamed as , so the student was

of a mile off from the actual distance.

D. Correct answer.

ItemID A2K.1010815Correct DStandard(s) MA.5-8.N.3.f, MA.5.N.MR.05.19, MA.5.5.NF.2

36. What is the value of in the equation shown below?

A.

B.

C.

D.





A.Student divides the denominators, and choosesthe smaller of the given numerators.

B.

Student subtracts the numerators to get 12,

chooses the larger given denominator to get ,

and then reduces the fraction.

C.Student recognizes that 3 x 5 = 15, and places 5as the numerator.

D. Correct answer.

ItemID A2K.1206333Correct DStandard(s) MA.5.N.MR.05.21, MA.6.6.EE.7

37. Alan wrote the equation below.

When and , what is the value of ?

A. 4

B. 9

C. 32

D. 34


A.The student chose the value of x withoutrecognizing that y cannot also equal 4 or z wouldhave to equal 8.

B.The student multiplied x times y instead ofadding the numbers.

C. Correct answer.

D.The student made a subtraction error whensubtracting to find the value of y.

ItemID A2K.1089654Correct CStandard(s) MA.5.N.MR.05.21, MA.6.6.EE.5

38. Which value for f makes this equation true? f + 12 = 33

A. –45

B. –21

C. 21

D. 45




C. Correct


ItemID DD.1001013Correct CStandard(s) MA.5.N.MR.05.21, MA.7.A.FO.07.13, MA.6.A.FO.06.11,MA.6.A.FO.06.12, MA.6.A.FO.06.14

Stop! You have finished this exam.

fifth grade math - fitzgerald public schoolsfitz.k12.mi.us/pdfs/schools and programs/westview... ·...

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