Grade 4 math arkansas 04 + answers

Solution and ScoringPart 1: 2 points possible 1 point for correct answer of Lonnie’s group, AND 1 point for correct and complete work or explanation?. ● Give credit for the following ex

CALCULATOR NOT PERMITTED — ITEMS 1–8

2. Mr Preddy put the chart below on the board

He asked his students, “If the patterncontinues, which pair of numbers would comenext?” What answer should the students havegiven?

A 55, 10

* B 60, 12

C 75, 15

D 90, 18

3. The school librarian made a graph showing the number of books checked out each month by students inthe fourth grade In April, there were 45 books checked out How many books should be displayed in thegraph?

4. Last week, Mark’s pet bunny weighed

12 ounces This week, it had gained 4 more

ounces How much does it weigh now?

5. Kisha visited the Aerospace Education Center

in Little Rock with her family She bought atoy airplane for $4.88 in the gift shop Shegave the salesperson $5.00 How much changeshould Kisha receive?

* A $0.12

B $0.22

C $1.12

D $1.88

Use the table below to answer question 6.

Hector’s Table State Park Approx Miles From

6. Hector made the table above for his family to

compare the approximate distance from their

home in Little Rock to several state parks

How many more miles is it to Village Creek

State Park than to Woolly Hollow State Park?

CALCULATOR PERMITTED — ITEMS 9–40

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9. Cliff brought cupcakes to share with his

classmates He brought 12 chocolate and

13 vanilla What are Jane’s chances of getting

10. Mrs Andrew’s class collected canned food for

a local food drive They wanted to sort the

cans before they donated them Which of the

following is not a way they could group the

11. Marty is about to begin reading the 250-page

book she just checked out from the library

She plans to read 25 pages per night At this

rate, how many nights will it take her to finish

12. Annie made a pattern block design using

1 hexagon and 2 trapezoids How manyequilateral triangles will cover this design?(You may use your pattern blocks to help youfind the answer.)

A 2 hours

B 35 minutes

* C 1 hour, 35 minutes

Use the figure below to answer question 14.

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14. The figure above is made with cubes which

are 1 cm3 What is its volume?

A 30, 60

B 30, 96

C 48, 60

* D 48, 96

Use the figure below to answer question 16.

17. The basketball court above is 94 feet long and

50 feet wide What is the perimeter of this

18. A runner can burn 1,280 calories in

60 minutes Which of the following numbersentences would you use to find out howmany calories can be burned in 30 minutes ofrunning?

A

92

* B

93

C

91

20. Kathy is wearing a heavy coat, scarf, mittens,

and a hat Which temperature is it most likely

21. One morning it took Carlos 167 seconds to

brush his teeth How many minutes and

seconds did it take him to brush his teeth?

* A 2 minutes and 47 seconds

B 3 minutes and 67 seconds

C 4 minutes and 17 seconds

D 16 minutes and 7 seconds

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22. Ashley is visiting her grandparents for the

weekend Her mom packed 1 pair of black

pants, 1 pair of tan shorts, and 4 shirts: white,

blue, green, and yellow How many different

outfits can she make from the clothes her

Use the chart below to answer question 25.

The Population of Pulaski County, Arkansas

25. According to the table above, which of the

following is a true statement about the

population of Pulaski County, Arkansas?

A It has remained the same

* B It has increased every ten years

C It has increased every five years

D It has decreased every ten years

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26. Mrs Kramer wrote the following number on

the board:

9,463,187What is the value of the 6 in this number?

• It has 4 sides

• All of its sides are equal

• It has no right angles

A l + w = A

D l + l + w + w = A

Use the table below to answer question 30.

Lengths of Snakes at City Zoo

Black Rat Snake 72"

30. The table above shows the lengths of the

snakes at City Zoo What is the mode of these

A Add 2, then add 3 in a repeating pattern

B Double each number

C Double the first number, then double the

next number, then subtract 1

* D Double the first number, then add three

to the next number

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32. I am Sam the Robot My head is a hexagon

My legs are right triangles My body is atrapezoid Which robot am I?

*

Use the table below to answer question 33.

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33. Alicia took a survey of the fourth-graders in

her class to find out which of the four snacks

above they liked best Which of the following

statements is true about the data Alicia

collected?

A No fourth-graders liked yogurt

* B More fourth-graders like cheese and

crackers than chips

C Fourth-graders like chips better than

yogurt

D More fourth-graders prefer yogurt to

fruit

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34. Sandra brought a bottle of soda to share at her

class party What is most likely the size of the

2 small sodas How much did he spend?

36. Pinnacle Mountain has a height of 1,011 feet

What would be its height in yards?

37. What number does n represent in order for the

statement below to be true?

38. Pat’s coach told the team to arrive at the

ballpark 45 minutes before their baseball

game The game begins at 6:00 P.M What

time should Pat arrive at the ballpark?

A. Each of the four counselors at Camp Lake View must choose one camper from his/her group to gowaterskiing Each counselor will put the names of all his/her campers in a bag One name will be drawnfrom the bag to select the “winner.” Each group consists of the following:

● Lonnie’s group: 10 boys and 8 girls

● Maria’s group: 8 boys and 10 girls

● James’s group: 9 boys and 9 girls

● Tonya’s group: 6 boys and 12 girls

1 Which of the four groups offers the best chance that a boy will win? Explain your answer using

words and/or numbers

2 Which of the four groups offers the best chance that a girl will win? Explain your answer using

words and/or numbers

BE SURE TO LABEL YOUR RESPONSES 1 AND 2

4 The student earns 4 points The response contains no incorrect work

3 The student earns 3 – 3 ½ points

2 The student earns 2 – 2 ½ points

1 The student earns ½ – 1 ½ points or shows some minimal understanding

0 No understanding is shown

B Blank – No response A score of “B” will be reported as “NA” (No Attempt – Zero Score)

MATHEMATICS OPEN-RESPONSE ITEM A

RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM A

Solution and Scoring

Part 1: (2 points possible)

1 point for correct answer of Lonnie’s group,

AND

1 point for correct and complete work or explanation

● Give credit for the following explanations or equivalent:

o “Lonnie’s has more boys than any other group and all groups have the same number of

kids (or 18 kids),” or

o “They are the only group with more boys than girls,” or

o “They have the greatest number of boys and the fewest number of girls of any group,” or

o “10/18 are boys,” or “There are 10 chances out of 18.”

OR

½ point for correct, but incomplete work or explanation

● Example: “Lonnie’s group has the most boys (or more boys) than any group

Note: Do not give credit for the following incomplete explanation

● “Lonnie’s group has more boys than girls.” (Doesn’t say “only group.”)

Part 2: (2 points possible)

1 point for correct answer of Tonya’s group,

AND

1 point for correct and complete work or explanation

● Give credit for the following explanations or equivalent:

o “Tonya’s has more girls than any other group and all groups have the same number of

kids (or 18 kids),” or

o “They have the greatest number of girls and the fewest number of boys of any group,” or

o “12/18 are girls,” or “There would be 12 chances out of 18.”

B. A group of students is helping to paint the basketball court at their neighborhood recreation center Theyneed to find the area of the court in order to buy enough paint They measured the court and found thelength to be 80 feet and the width to be 50 feet

1 What is the area of the court? Explain your answer using words, numbers, and/or pictures

2 They need to tape the outer edges before painting They need to find the perimeter so they will knowhow much tape they need How much tape will they need? Explain your answer using words and/ornumbers

BE SURE TO LABEL YOUR RESPONSES 1 AND 2

MATHEMATICS OPEN-RESPONSE ITEM B

SCORE DESCRIPTION

4 The student earns 4 points – Answers must have correct labels

3 The student earns 3 points

2 The student earns 2 points

1 The student earns 1 point or shows some minimal understanding

Example: A and/or P are reversed with work shown or explained

0 No understanding is shown

B Blank – No response A score of “B” will be reported as “NA” (No Attempt – Zero Score)

Solution and Scoring

Part 1: (2 points possible)

1 point for correct answer of 4,000 (with or without square feet),

AND

1 point for correct and complete procedure for finding area shown and/or explained

● Give credit for the following explanations or equivalent:

o Area is found by multiplying the length by the width The length is 80 feet and thewidth is 50 feet Therefore, the area is 4,000 (square feet), or

o A = 80 x 50 = 4,000 (square feet), or

o Correct procedure (l x w = A) to find area is used, but answer is incorrect due to a

calculation or copy error

Note: Do not give credit for copying the formula l x w = A only.

Part 2: (2 points possible)

1 point for correct answer of 260 (with or without feet),

AND

1 point for correct and complete procedure for finding perimeter shown and/or explained

● Give credit for the following explanations or equivalent:

RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM B

C. Barb and William are each growing sweet potato vines Barb’s plant measures one-and-a-half feet long.William’s plant measures 24 inches long

1 Whose plant is longer? Explain your answer using words and/or numbers

2 How much must William’s plant grow before it is one yard long? Explain your answer using wordsand/or numbers

BE SURE TO LABEL YOUR RESPONSES 1 AND 2

4 The student earns 4 points – Answers must have correct labels

3 The student earns 3 points

2 The student earns 2 points

1 The student earns 1 point or shows some minimal understanding

0 No understanding is shown

B Blank – No response A score of “B” will be reported as “NA” (No Attempt – Zero Score)

Solution and Scoring

Part 1: (2 points possible)

1 point for correct answer of William’s plant is longer

● Note: Do not give credit if there is clear evidence of incorrect procedure

o “Twenty-four inches equals two feet, so William’s plant is longer,” or

o “His plant is longer since a foot and a half would only be eighteen inches.”

● Do not give credit for the following incomplete explanations:

o “His plant is 6 inches longer,” or

MATHEMATICS OPEN-RESPONSE ITEM C

RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM C

Part 2: (2 points possible)

1 point for correct answer of “12 inches” or “1 foot.” Label must be correct

AND

1 point for correct procedure shown and/or explained

● Give credit for any of the following explanations or equivalent:

o There are 36 inches in a yard William’s plant is 24 inches long The difference is

12 inches, or

o 1 yard = 3 feet and he has 2 feet Therefore, it needs to grow 1 foot, or

o 1 yard = 36 inches 36 - 24 = 12 inches

BE SURE TO LABEL YOUR RESPONSES 1 AND 2.

MATHEMATICS OPEN-RESPONSE ITEM D

SCORE DESCRIPTION

4 The student earns 4 points

3 The student earns 3 points

2 The student earns 2 points

1 The student earns 1 point or shows some minimal understanding

0 No understanding is shown

B Blank – No response A score of “B” will be reported as “NA” (No Attempt – Zero Score)

Solution and Scoring

Part 1: (2 points possible)

1 point for correct answer of Dwight eats eggs 10 times,

AND

1 point for correct and complete procedure shown and/or explained

● Give credit for the following explanations or equivalent (Answer might not be “10.”):

o “He has eggs on the 2nd ,5th ,8th, 11th, 14th, 17th, 20th, 23rd, 26th, and 29th;” or

o “He has eggs on the 2nd and every third day after that;” or

o 31/3 = 10 r1; or

o Correct number of times eggs are eaten each week (1 + 3 + 2 + 2 + 2); or

o Calendar is correctly filled out indicating days when Dwight eats eggs (Dates do not have to

be circled.)

RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM D

Part 2: (2 points possible)

1 point for correct answer of they will eat the same things 11 times,

AND

1 point for correct and complete procedure shown and/or explained

● Give credit for the following explanations or equivalent (Answer might not be “11.”):

o “They will both have –

♦ Cereal on the 1st, 7th, 13th, 19th, 25th, and 31st; and

♦ Waffles on the 6th, 12th, 18th, 24th, and 30th,” or

o “They will eat the same things on the following dates: 1, 6, 7, 12, 13, 18, 19, 24, 25, 30,and 31,” or

o “They will both have cereal on the first day of the month and every sixth day after that.They will both have waffles every sixth day,” or

o Correct number of times they have the same breakfast each week (1 + 2 + 3 + 3 + 2), or

o Calendar is correctly filled out indicating days when they eat the same thing (Dates do nothave to be circled.)

E. Jake used the 100’s chart above to solve a mystery number puzzle with the following clues:

● It is a two-digit number greater than 23, but less than 50

● It is an even number

● Two, four, and twelve are some of its factors

● The sum of its digits is a two-digit number

What is the mystery number?

Use words, pictures, and/or numbers to explain your answer

4 Correct answer of 48 Work and/or explanation is correct and contains:

• Elimination Clue by Clue Method:

Numbers, charts, lists, calculations and/or words clearly show or explain the procedure of elimination Clues 1 and 2 may be combined At a minimum, the numbers remaining after

MATHEMATICS OPEN-RESPONSE ITEM E

RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM E

3 Correct answer of 48 Work and/or explanation is incomplete, but is beyond repeating clues.

• Elimination Method is shown or explained (for at least Clues 1 and 2), but elimination using other clues is missing or incomplete in some respect Three to four clues are addressed or repeated.

o Example: Verbal description of elimination clue by clue, but the numbers remaining after performing Clue 3 (or Clue 4 if reversed) are not listed.

o Example: 23-50 are listed, with all numbers crossed out except 48 without differentiation between clues or explanation.

o Example: Chart lists numbers between 23 and 50 and eliminates odd numbers Clue 3 and/or Clue 4 are addressed or repeated.

OR

• “48 is the number that fits the Clues.” Method is incomplete, but some work is shown for either Clue 3 OR Clue 4 Three to four clues are addressed or repeated Elimination of other numbers is partial or missing:

o Example: “It’s 48 because it’s between 24 and 49, it’s even, 48/2 = 24 and 48/12 = 4.”

2 • Answer of 24, 36 and 48 Response explains process of elimination by going through Clues 1,

2 and 3, with 24, 36 and 48 remaining (Does not proceed far enough – Clue 4 is not addressed.)

OR

• Answer of 28, 38, 46 and 48 Response explains process of elimination by going through Clues 1, 2 and 4, with 28, 38, 46 and 48 remaining (Does not proceed far enough – Clue 3 is not addressed.)

o Example: “It’s 48 because it’s between 24 and 49 and it’s even.”

1 • Answer of 48 No clues are addressed, no work is shown or explained, or work contains

vague, but not incorrect, procedure.

OR

• Answer is an even number between 23 and 50 (≠ 48) At least one clue is addressed.

o Example: “It’s 44 because it’s greater than 23 and less than 50.”

o Example: “It’s 24 because 2, 4, and 12 are its factors.”

0 No understanding shown.

o Example: 48 with obvious use of incorrect procedure.

o Example: An even number (≠ 48) between 23-50 with no clues addressed: “It’s 44.”

o Example: Any odd number.

B Blank – No response A score of “B” will be reported as “NA” (No Attempt – Zero Score).