Grade 4 math arkansas 03 + answers

Scoring 4 total points possiblePart 1: 2 points possible • 1 point for correct answer of “Rashid won” with work or explanation containing evidence of some correct procedure using any of

CALCULATOR NOT PERMITTED  ITEMS 1 – 8

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1 Which two spinners below would give you an

equal chance of spinning a C?

2 Mr Douglas asked each of his fourth-grade

students to write an inequality statement

Which one of the following inequality

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5 Alex drew a floor plan of her house What is the length in feet of Alex’s house from the corner of the

kitchen to the corner of the baby’s room?

7 Aaron has paper cut-outs of a rectangle and

two circles Which of the following 3-dimensional shapes could Aaron make using all three of his cut-out shapes?

Use the figure below to answer question 8

CALCULATOR PERMITTED  ITEMS 9 – 40

01/FC/S4A/P18D N

9 Angelo was asked to find the quotient of two

numbers What operation did he need to do?

10 Maria collects pictures of butterflies She has

140 pictures Of these, 80 pictures show

butterflies Which equation can you use to

show pictures without butterflies?

13 Lee’s mother has a 32-fluid-ounce pitcher

filled with milk How many cups can she fill? (8 fluid ounces = 1 cup)

14 In the number 652,479,103, in what place

value is the underlined digit?

A tens

B ten thousands

C millions

* D ten millions

16 Look at the spinner below

How many times is the spinner likely to land

A 2 congruent circles and 1 triangle

* B 2 congruent circles and 1 rectangle

C 2 congruent circles and 1 trapezoid

D 2 congruent circles only

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19 Mrs Teasley’s fourth-grade class divided into

teams of 4 for field day races There were

3 students left over after all of the teams were

formed Which could be the total number of

students that are in Mrs Teasley’s class?

20 Mr Dove wrote the number sentence

N ÷ 3 = 9 on the board What number could replace N to make this number sentence true?

A 3

B 6

C 12

* D 27

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21 Sam makes his own frames to display his

photography The shop sells 48-inch wood

strips for framing If all of Sam’s frames are

4 in × 6 in rectangles, how many frames can

he make from 1 strip?

23 Ramiro made a graph showing the number of

crickets the class pet turtle ate in a five-day period How many crickets did it eat in

24 LaToya made up this number sentence:

N × 4 = 2 × 8 What number could replace N

to make LaToya’s number sentence true?

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25 Lark Creek Elementary School had 4

fifth-grade classrooms and a total of 96 fifth-fifth-grade

students If each classroom has exactly the

same number of students, which number

sentence could be used to calculate the

number of students in each classroom?

Juan’s box?

A They all have at least 4 sides

B They all have at least 3 vertices

C They all have at least one acute angle

* D They all are symmetrical

*

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29 Todd has a collection of pro football team

T-shirts He has 4 Miami Dolphin shirts,

3 Jacksonville Jaguar shirts, and 5 from other

teams If Todd selects a shirt at random, what

is the probability that he will pick a Dolphin

30 During the month of February, a student in

fourth grade read for a total of 1,680 minutes

For how many minutes did the student read

each day if she read for the same number of

minutes on each of the 28 days in February?

31 Troy must read independently for 2 hours per

week If Troy reads for 20 minutes per day,

how many days will it take him to read for a

32 Mrs O’Keefe’s kindergarten students made

structures with sugar cubes The volume of each sugar cube is l cubic inch Who made the

structure with the greatest volume?

33 The chart above shows the pattern of Isabel’s

savings over a 5-week period What is the rule Isabel used to create this pattern?

* A add 4

B subtract 4

C divide by 4

D multiply by 2

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34 Students in Mr Kon’s science class want to

determine which hours of the day are the

warmest and the coolest They put a beaker of

water outside in the sun and recorded the

temperature of the water at 4 different times

for one week What are the best times for the

students to record their data?

* A 8:15 a.m., 12:00 noon, 1:30 p.m., and

to Little Rock If you leave Fayetteville at

4:15 p.m., what time will you arrive in Little

36 Bridget’s dad kept count of how far he

bicycled over a period of 50 minutes If this pattern continues, how many miles will Bridget’s dad have traveled in 90 minutes?

37 Roberto’s pet rabbit weighs 3 kilograms If his

cat weighs the same as his rabbit, how many grams does the cat weigh?

A 0003 grams

B 0030 grams

C 0300 grams

* D 3000 grams

Use the figure below to answer question 38

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38 Raul has a game that uses the spinner shown

above What is the probability that a player

will spin and land on “RETURN 2 START”?

40 Steve and Michael were playing a number

game They turned the 15 cards shown below face down If Michael chooses one card, what

is the probability that he will choose a card with an even number on it?

* A 9 out of 15

B 1 out of 9

C 1 out of 15

D 6 out of 9

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A Rashid and Matthew are playing a math game There are two stacks of number cards with the digits 0–9

on them Each player draws 4 cards

1 The winner of the first game is the person who can make the largest four-digit number with the

numbers drawn Tell who won the first game Explain your answer with words and/or numbers

2 The winner of the second game is the person who can make the smallest four-digit number with the numbers drawn Tell who won the second game Explain your answer with words and/or numbers

BE SURE TO LABEL YOUR RESPONSES 1 AND 2

Student states that Matthew’s smallest number can have a “2” in the thousands place so it will

MATHEMATICS OPEN-RESPONSE ITEM A

RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM A

Scoring (4 total points possible)

Part 1: (2 points possible)

• 1 point for correct answer of “Rashid won” with work or explanation containing evidence of some correct procedure using any of the following:

o Correct comparison of any 4-digit numbers formed using the digits of 7, 0, 3, 9 and 0, 8, 5, 2, or

o Some correct explanation regarding place value (ex 9 is the biggest number), or

o 4-digit number formed with 9 in the thousands place using 7, 0, 3, 9 (ex 9037)

OR

• ½ point for correct answer of “Rashid won” with no work or explanation containing any of the above support

• 0 points for answer of “Rashid won” with evidence of incorrect procedure:

o Adding digits (7 + 0 + 3 + 9 = 19 and 0 + 8 + 5 + 2 = 15) and comparing numbers: 19 > 15, or

o Comparing first digits listed (7 > 0)

Work/Explanation:

• 1 point for either of the following:

o 2 correct numbers (9,730 and 8,520), or

o Correct and complete explanation regarding place value (ex 9 > 8, etc.)

• ½ point for either of the following:

o 1 correct number (9,730 or 8,520), or

o Partial explanation regarding place value (ex 9 is the largest number)

Part 2: (2 points possible)

• 1 point for correct answer of “Matthew won” with work or explanation containing evidence of some correct procedure using any of the following:

o Correct comparison of any 4-digit numbers formed using the digits of 7, 0, 3, 9 and 0, 8, 5, 2, or

o Some correct explanation regarding place value (ex 2 is the smallest number), or

o 4-digit number formed with 2 in the thousands place using 0, 8, 5, 2 (ex 2,508) (or 2 in the hundreds place and 0 in the thousands place – ex 0285)

• ½ point for correct answer of “Matthew won” with no work or explanation containing any of the above support

• 0 points for correct answer of “Matthew won” with evidence of incorrect procedure:

o Adding digits (7 + 0 + 3 + 9 = 19 and 0 + 8 + 5 + 2 = 15) and comparing numbers: 15 < 19, or

o Same numbers in Part 1 are compared

Work/Explanation:

• 1 point for either of the following:

o 2 correct numbers (2,058 and 3,079 or 258 and 379), or

o Correct and complete explanation regarding place value (ex 2 < 3, etc.)

MATHEMATICS OPEN-RESPONSE ITEM B

RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM B

Solution

Part 1: 8 more sheets

Work/Explanation: 26 – 18 = 8

OR

Aaron: 26 sheets and Kayla: 18 sheets The difference is 8

Part 2: More paper was used on Friday

OR

Less was used on Monday

OR

Symbolic representation of comparison: 32 > 15

Work/Explanation: Friday: 32, Monday: 15

32 – 15 = 17, etc

Scoring (4 total points possible)

Part 1: (2 points possible)

• 1 point for correct answer of 8

Work/Explanation:

• 1 point for correct procedure used: Student finds Aaron’s number – Kayla’s number

(Note: Work might have calculation, counting, or copy error.)

Part 2: (2 points possible)

• 1 point for correct answer using either of the following:

o “Friday uses more…”, or

o Symbolic comparison (F# > M#)

(Note: Work might have a calculation, counting, or copy error.)

Work/Explanation:

• 1 point for correct work using either of the following:

o Association of days and numbers: Friday – 32 and Monday – 15, or

o Subtraction (32 – 15 = 17) without “Friday, Monday” labels

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C Jake and Timothy play sports in the neighborhood every day The calendar above shows how many times

they have played basketball, soccer, and football so far during the month of April

1 If this pattern continues, what sport will Jake and Timothy play on Saturday, April 21? Explain your answer using words and/or numbers

2 How many times will Jake and Timothy play soccer during the month of April? Explain your answer using words and/or numbers

BE SURE TO LABEL YOUR RESPONSES 1 AND 2

MATHEMATICS OPEN-RESPONSE ITEM C

Work/Explanation: Response states any of the following:

• Football is played every third day

Work/Explanation: Response states any of the following:

• Soccer is played 5 times during the first 15 days of April, so they will play 5 times during the last 15 days of the month

• Equivalent work or explanation

Scoring (4 total points possible)

Part 1: (2 points possible)

• 1 point for correct answer of Football,

• 1 point for correct and complete work or explanation

Part 2: (2 points possible)

• 1 point for correct answer of 10

RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM C

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D Mrs Lehman drew the design shown on the grid above

1 How many completely shaded squares are there in the design? How many half-squares are there in the design?

2 What is the total area of the SHADED part of the design? Explain your reasoning for determining the answer using words, numbers, and/or pictures

BE SURE TO LABEL YOUR RESPONSES 1 AND 2

Note: Correct label of “sq cm.” is required only at the “4” level

MATHEMATICS OPEN-RESPONSE ITEM D

RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM D

Solution

Part 1: Correct answer of 9 (shaded squares) and 12 (half-shaded squares)

OR

Correct answer of 9 (shaded squares) and 24 (half-squares)

Part 2: Correct answer of 15 sq cm

Work/Explanation: 9 + 12/2 = 9 + 6 = 15 sq cm

OR

Equivalent work or explanation

Scoring (4 total points possible)

Part 1: (2 points possible)

• 1 point for correct answer of 9 shaded squares,

• 1 point for correct answer of 12 half-shaded squares or 24 half-squares

Part 2: (2 points possible)

• 1 point for correct numerical answer based on shaded answers given in Part 1

(Note: Student might refer to 24 half-squares in Part 1 and refer to 12 half-shaded squares, etc.,

in Part 2.)

• 1 point for showing or explaining correct and complete procedure for finding total shaded area (Note: Work might contain a calculation or copy error.)

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E Mrs Needham wants to put a border around the edge of the bulletin board above

1 What is the perimeter of the bulletin board? Explain your reasoning with words and/or pictures

2 Mrs Needham has 20 feet of border Is that enough to go around the bulletin board? Explain your reasoning with words and/or pictures

BE SURE TO LABEL YOUR RESPONSES 1 AND 2

Score Description

4 4 points – Response includes correct label of “feet.” No incorrect work is included

3 3 points

2 2 points

1 1 point or some minimal understanding shown (e.g., labels 4 sides of rectangle only)

0 No understanding shown (e.g., L × W = 6 × 3 = 18 only, with no correct corresponding

work/explanation)

B Blank – No Response A score of “B” will be reported as a score “NA” (No Attempt – Zero

Score)

Note: Correct label of “feet” is required only at the “4” level

MATHEMATICS OPEN-RESPONSE ITEM E

RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM E

Solution

Part 1: Perimeter is 18 feet

Work/Explanation: 3 + 3 + 6 + 6 = 18 feet

Equivalent work or explanation

Part 2: Yes, there is enough

Work/Explanation: She has enough since she only needs 18 ft and she has 20 ft of border

Equivalent work or explanation

Scoring (4 total points possible)

Part 1: (2 points possible)

• 1 point for correct answer of 18

(Note: Give credit for 18 if work includes 6 × 3 (student might be grouping), but do not give credit for 18 if it is evident that the incorrect procedure was used: e.g., work includes L × W =

6 × 3 = 18.)

Work/Explanation:

• 1 point for correct and complete procedure for perimeter: L + L + W + W = P

(Note: Work might have a calculation or copy error Do not give credit for 6 × 3.)

Part 2: (2 points possible)

If the answer in Part 1 is 18, or incorrect due to a calculation error with correct procedure used:

• 2 points for correct Y/N corresponding to answer in Part 1, and clear, correct work/explanation

• 1 point for missing Y/N answer with clear and correct work/explanation in Part 2

If the answer in Part 1 is incorrect due to a procedural error:

• 1 point for correct Y/N corresponding to answer in Part 1 with at least some correct work/explanation in Part 2

OR

• 1 point for missing Y/N answer with clear and correct work/explanation in Part 2

Mathematics Reference Sheet