Grade 4 math arkansas 05 + answers

Explain your answer using words and/or numbers.. Explain your answer using words and/or numbers.. Work: 1 point for correct and complete procedure for Mean shown or explained?. Work: 1

CALCULATOR NOT PERMITTED — ITEMS 1–8

Use the figure below to answer question 1

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1 Ms Sutton drew the rhombus above on the

board She asked her students to describe the

shape Which of the following is a correct

description of the shape?

A 4 even sides; 4 right angles; 2 sets of

parallel lines

B 4 uneven sides; 2 acute angles; 2 obtuse

angles; 2 sets of parallel lines

* C 4 even sides; 2 acute angles; 2 obtuse

angles; 2 sets of parallel lines

D 4 even sides; 2 acute angles; 2 obtuse

angles; 1 set of parallel lines

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2 Which of the following units would you use to

measure the weight of a penny?

3 Caleb wants to help his dad build a walkway

to his front door using square tiles If each tile

is 1 square foot, how many tiles will Caleb and his dad need?

4 Laura kept track of the growth of her ivy

plant It was 6 inches long when she planted it, and it grew about 2 inches each week About how many inches long was it by the end of the fourth week?

A 8

B 10

C 12

* D 14

Use the figures below to answer question 5

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5 Mr Joyner asked his students to construct

3-D shapes using construction paper and tape

Which of the following shapes could Marlene

make from the three shapes above?

6 The bicycle repair person told Jon that it

would cost about $60.00 to fix his bike If the

repair person rounded the bill to the nearest

ten dollars, which of the following could have

been the actual amount?

8 Malek jumped a distance of 6 feet on his dirt

bike How many yards did he jump?

* A 2

B 3

C 4

D 6

CALCULATOR PERMITTED — ITEMS 9–40

Use the calendar below to answer question 9

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9 The calendar above shows that John cleans his

hamster’s cage every 3 days and his gerbil’s

cage every 5 days If this pattern continues,

how many times during the month of July will

he clean both cages on the same day?

12 Randy counted 5,624 tickets sold for the

school carnival What is this number rounded

to the nearest hundred?

A 5,000

* B 5,600

C 5,700

D 6,000

Use the figure below to answer question 13

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13 Ward made the above design with pattern

blocks If he makes a congruent design with

triangular pattern blocks, how many triangles

will he use? (You may use your pattern blocks

14 Stanley’s mom made 2 sandwiches for his

lunch She cut each into 4 pieces Stanley ate

only the shaded portions What fraction of the

sandwiches did he eat?

16 Melissa’s sandbox is 4 feet wide and 6 feet

long Which of the following number sentences would she use to find its area?

17 Mr Barnhill has the temperature in his house

set to a comfortable level—not too hot, not too cold What temperature would the

Use the pictures below to answer question 18

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18. What rule was used for sorting the objects above?

* A Group A: objects without angles B Group A: objects that are foods

Group B: objects with angles Group B: objects with angles

C Group A: objects that are balls D Group A: objects that are round

Group B: objects with angles Group B: objects that are triangular

Use the picture below to answer question 19

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19 Which weight would be the best choice for

Latoya to use to weigh her science book?

20 Karen’s crayon box contains 3 shades of

green, 6 shades of blue, 4 shades of red, and

2 shades of brown If she picks a crayon from the box without looking, which shade is she

least likely to pick?

A red

B blue

C green

* D brown

Use the numbers below to answer question 21

21 Jorge’s spelling test grades are shown above

What is the mean (average) of his grades?

23 Mrs Bunch put the pattern above on the

board Which number would correctly complete the pattern?

24 Larissa needs to bake 120 cookies If there are

30 cookies in a batch, how many batches does she need to bake?

A 3

* B 4

C 90

D 150

Use the pictograph below to answer question 25

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25 Karen and her friends picked 16 baskets of

strawberries Based on the pictograph above,

how many baskets did Amanda pick?

27 Marla wants to glue a piece of yarn around the

outer edge of the picture frame above How many inches of yarn does she need to cut?

28 Justine can run one-fourth of a mile in

120 seconds How many minutes is that?

Use the figure below to answer question 30

31 The fourth-grade classes at Valley Elementary

are going on a field trip There are 392

students Each bus holds 56 students How

many buses will they need?

32 What is another way you could write

“5 minutes before 9 o’clock”?

33 Joanne kept track of the number of glasses of

milk that she drank each week for 5 weeks What was the average number of glasses that she drank per week?

34 The fourth grade had a pizza party There are

86 children in the fourth grade If each child ate 3 slices, how many total slices were eaten?

35 The distance from Austin’s house to his

grandparents’ house is 234 miles About how many miles, rounded to the nearest hundred, is this?

* A 200

B 230

C 240

D 300

Use the figure below to answer question 36

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36 The area of a trapezoid pattern block is equal

to 3 triangular pattern blocks How many

triangles would be needed to find the area of a

hexagon? (You may use your pattern blocks to

37 Based on the data in the pictograph above,

which of the following statements is true?

A More people visited in June than in July

B More people visited in September than

in August

C More people visited in September and

October combined than in the other three

months combined

* D More people visited in June and July

combined than in the other three months

38 The chart above shows how many cookies

Blair and her friends made for the class party What is the mean (average) number of cookies made by the students?

39 The chart above shows a relationship between

the numbers in the “IN” column and the numbers in the “OUT” column What number would complete the chart above?

A 16

B 26

* C 28

D 32

Use the table below to answer question 40

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How Many States Can You Name in One Minute?

Name Number of States

Laurie 15 Justin 16 Thomas 18

A Mrs Johnson asked a group of students in her class to name as many states in the United States as they

could in one minute The data collection is shown above

1 What is the mean (average) number of states the group of students could name? Explain your answer using words and/or numbers

2 What is the mode of the data? 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 points

2 The student earns 2 points

1 The student earns 1 point or shows some minimal understanding Example: Procedures for Mean and/or Mode are reversed

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)

Answer: 1 point for correct answer of 13

Note: Do not give credit if incorrect procedure is used

Work: 1 point for correct and complete procedure for Mean shown or explained Work may contain a

calculation or copy error

● Give credit for the following explanations or equivalent:

○ 15 + 16 + 18 + 16 + 9 + 9 + 15 + 13 + 10 + 9 = Sum Sum ÷ 10 = Mean, or

○ “The average is found by adding all the numbers together (130) and then dividing by the number of pieces of data (10).”

Part 2: (2 points possible)

Answer: 1 point for correct answer of 9

Note: Do not give credit if incorrect procedure is used

● Example: 18 – 9 = 9 (range is found)

Work: 1 point for correct and complete procedure for Mode shown or explained

● Give credit for the following explanations or equivalent:

○ “The mode is the number that occurs most often,” or

○ “There are three 9’s,” or ○ Numbers are listed and the 9’s are identified in some way (circled)

● Give credit for the following only if a Mode of 9 is given:

○ “I counted how many there were of each number.”

Note: Do not give credit for vague explanation

● Example: “I counted.”

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B Use these equations to answer the questions that follow

1 Find each sum above

2 What pattern do you notice?

3 Explain how you could use this pattern to find the sum of 6,000 + 8,000

BE SURE TO LABEL YOUR RESPONSES 1, 2, AND 3

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 or 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 B

RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM B

Solution and Scoring

Part 1: (1 point possible)

Answer: 1 point for 4 correct answers given: 11; 110; 1,100; 11,000

OR

½ point for 2 or 3 correct answers given

Part 2: (1 point possible)

Answer: 1 point for correct and complete statement of the pattern

● Give credit for the following explanations or equivalent:

○ “The sum of 6 + 5 = 11 All the answers start with 11 and add a pattern of zeros; first one,

then two, then three,” or ○ “Each sum has the same number of zeros after ‘11’ that are in each addend Example: 60

and 50 each have one ‘0.’ Therefore, their sum would be 110,” or ○ “Add a 0 every time.”

Note: Do not give credit for incomplete explanations

● Example: “I added zeros.”

● Example: “Add a 0 to the 5 and 6” (only addresses the addends)

Part 3: (2 points possible)

Answer: 2 points for correct and complete explanation

● Give credit for the following explanations or equivalent:

○ 6 + 8 = 14; add 3 zeros to get 14,000, or ○ 6 + 8 = 14 and add 3 zeros, or

○ 6 + 8 = 14 and add zeros to get 14,000, or ○ 6 + 8 60 + 80 600 + 800 6,000 + 8,000 Give full credit with or without sums of 14,

140, 1,400, 14,000

1 point for incomplete or vague explanation, but understanding of pattern is shown

● Give credit for the following or equivalent:

○ 14 140 1400 14,000 (only sums given), or ○ “Add 6 + 8 = 14 and add 0’s” (incomplete), or ○ Student uses given pattern (6 + 5, etc.) to find 6,000 + 8,000

▲ Example: “I could add 6,000 + 5,000 and then add 3,000.”

Note: Do not give credit for 6,000 + 8,000 = 14,000 only

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C Thomas, Sam, and David all put their coins together to buy a set of comic books Altogether, they paid

$4.48

1 Thomas contributed 7 quarters, 4 dimes, 2 nickels, and 3 pennies How much money did Thomas

contribute? Explain your work using words, numbers, and/or pictures

2 David contributed only nickels and dimes for a total of $1.20 What are two possible combinations that

he could have used? Explain your work using words, numbers, and/or pictures

BE SURE TO LABEL YOUR RESPONSES 1 AND 2

SCORE DESCRIPTION

4 The student earns 4 points The response contains the correct label of “$” and 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 C

RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM C

Solution and Scoring

Part 1: (2 points possible)

Answer: 1 point for correct answer of ($)2.28

AND Work: 1 point for correct and complete procedure showing how to determine the answer

● Give credit for the following work and/or explanations or equivalent Work may contain a calculation or copy error

○ 7(.25) + 4(.10) + 2(.05) + 3(.01) = Total Amount, or ○ 1.75 + 40 + 10 + 03 = Total Amount, or

○ Correct number of each coin drawn with correct $ values indicated Do not give credit if coins only have “Q”, “D”, “N”, etc

Note: Do not give credit for partial or incomplete work

● Example: “I added 7 quarters, 4 dimes, 2 nickels and 3 pennies.”

Part 2: (2 points possible)

Answer: 1 point for 2 correct combinations of nickels and dimes (combinations listed below)

● Example: 8 nickels and 8 dimes, and 6 nickels and 9 dimes

½ point for 1 correct combination

● Example: 2 nickels and 11 dimes

Nickels Dimes Total # $ # $ $1.20

Work: ½ point (1 point total) for work showing why each combination of nickels and dimes will total

$1.20 as shown in the $ columns of the chart above

● Example: 6 nickels = 30, and 9 dimes = 90

● Example: Correct drawing with correct $ values indicated

Note: Work may contain a calculation or copy error Do not give credit for partial or incomplete

work

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School Store Item Amount

Pencils $1.25 Pen $1.75 Paper $2.25 Ruler $1.75 Eraser $0.10 Notebook $3.50

D Anthony needs to buy school supplies

1 Anthony plans to buy one pack of pencils, paper, a ruler, and a notebook at the school store What will be the total cost for all of Anthony’s supplies? Explain your answer using words and/or

numbers

2 Anthony has $10.00 Will this be enough money for all of the supplies Anthony plans to buy?

Explain your answer using words and/or numbers

BE SURE TO LABEL YOUR RESPONSES 1 AND 2

SCORE DESCRIPTION

4 The student earns 4 points The response contains the correct label of “$” and contains no incorrect work

3 The student earns 3 points

2 The student earns 2 points

1 The student earns 1 point or shows some minimal understanding

Example: 1.25 + 1.75 + 2.25 = 5.25 only (correctly adds 3 out of 4 items)

0 No understanding is shown

Example: Adds all 6 items (10.60) only

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

MATHEMATICS OPEN-RESPONSE ITEM D

RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM D

Solution and Scoring

Part 1: (2 points possible)

Answer: 1 point for correct answer of ($)8.75

AND

Work: 1 point for correct and complete procedure shown and/or explained Work may contain a

calculation or copy error

● Give credit for the following explanations or equivalent:

○ $1.25 + $2.25 + $1.75 + $3.50 = Total Cost, or ○ “I added 1.25, 2.25, 1.75 and 3.50 to get the cost of the supplies.”

Note: Do not give credit for vague or incomplete explanations

● Example: “I added his supplies.”

Part 2: (2 points possible)

Answer: 2 points for correct answer and explanation based on total in Part 1

● Give credit for the following or equivalent:

○ “Yes, because he only spent (8.75 or Total Cost in Part 1 ≤ 10.00), and he has 10.00” (both 10.00 and Total Cost from Part 1 are mentioned), or

○ “Yes, since 8.75 < 10.00,” or ○ “Yes, because 10.00 – 8.75 = 1.25,” or ○ “No, because he spent (Total Cost in Part 1 > 10.00) and he only has 10.00” (both 10.00 and Total Cost from Part 1 are mentioned)

1 point for correct “Yes, No” response based on answer in Part 1 Explanation is partial, vague,

or work contains an error

● Example: Only 10.00 or 8.75 (or Total Cost from Part 1) is mentioned

● Example: No “Yes, No” answer is given, but work is correct and complete

Note: Do not give credit for “Yes” or “No” answer without any valid support