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Grade 4 math arkansas 06 + answers

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Explain your answer using words, numbers, and/or pictures.. Explain your answer using words, numbers, and/or pictures.. AND Work may contain a calculation error and/or may be based on a

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CALCULATOR NOT PERMITTED — ITEMS 1–8

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AR4M02M1309NXXX-114C

3 How many yards of fencing would it

take to surround a dog’s play area that is a

D three hundred thousand

5. Zach created the secret code below to write

messages to his friends

What numbers will Zach write to represent the

A 4

B 5

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CALCULATOR PERMITTED — ITEMS 9–40

AR4M04N0102NXXX-178C

9 Jean made the chart below to record the

number of pencils sold at the school store for

the last four months

Pencil Sales Month # of Pencils Sold

September 1,543

October 1,867

November 1,290

December 1,789

Which of the following is a true statement

about the number of pencils sold?

A 1,789 < 1,543

B 1,290 > 1,867

* C 1,543 > 1,290

D 1,867 = 1,789

10 Mr Carter’s class has 30 students Which

mathematical sentence shows how many

5-player basketball teams the class will be

able to make at recess?

* A 30 ÷ 5 = n

B 30 × 5 = n

C 30 – 5 = n

D 30 + 5 = n

11 Felton weighed 8 apples and found that they

weighed 2 pounds Approximately how much

does 1 apple weigh?

12 Randy has 3 bags of marbles Each bag has

86 marbles About how many marbles does Randy have in all?

14 Joey covered a hexagon pattern block using

3 triangles and 1 other shape What is the other shape? You may use your pattern blocks

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16. Carl has a bag of fruit-flavored candy that

contains the following pieces:

• 3 grape

• 5 strawberry

• 1 cherry

• 2 watermelon

Carl pulls a piece of candy from the bag

without looking What is the probability that

he picks a watermelon-flavored piece?

17. Sean has 36 baseball cards Tom has

25 baseball cards Which of the following is a true statement about their baseball card collections?

A 25 > 36

B 25 × 36

* C 36 > 25

D 36 = 25

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AR4M04D1702Y122-122D

18 Patty is playing a shape game with the spinner

below

What is the probability that the pointer will

land on a hexagon on her next spin?

A 1 out of 10

B 2 out of 10

C 3 out of 10

* D 4 out of 10

19. Mrs Rodriguez will use 54 square feet of tile

to cover her bathroom floor What are the

dimensions of her bathroom?

How many seashells do they have in all?

22. Sheila is making beaded necklaces that are

10 inches long She has a piece of string that is

78 inches long How many necklaces can she make from the string?

* A 7

B 8

C 780

D 800

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AR4M04D1702Y121-121C

23 On the cube below, the shapes on the faces

not showing are triangles

What are the chances the cube will land on a

triangle when rolled?

A 1 out of 3

B 2 out of 6

* C 4 out of 6

D 6 out of 4

24. How many more vertices does a cube have

than a triangular prism?

Use the shapes below to answer question 25

25. When the shapes above are combined with no empty spaces left over, what new shape is formed? (You may use your pattern blocks to help you.)

*

26. It is 150 miles between Little Rock and Ashdown Driving at 50 miles per hour, how many hours will the trip take?

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AR4M04M1308Y098-098A

27 Which length, rounded to the nearest 1

2inch, best describes the toy cheetah below? Use your ruler to help you

28. What is the length, measured to the nearest 1

2 inch, of the plastic fork below? Use your ruler to help you

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AR4M02N0103NXXX-010A

29 What symbol can replace the in the

number sentence below to make it true?

30 There are 124 jelly beans in a bag The table

below lists the colors and number of jelly

beans Which fraction represents Katie’s

chances of picking out a pink jelly bean on her

first try?

Jelly beans in the Bag Color Number

black 16 orange 17 pink 24 purple 12 red 14 yellow 24 white 17

31 When Ashley says “13,” the answer is 113

When she says “36,” the answer is 136 When she says “94,” the answer is 194 What is the rule for Ashley’s pattern?

32 Jacob drew the map below to show the

distance he drives from his house to the mall

Based on Jacob’s scale, what is the distance? Use your ruler to help you

* A 3 miles

B 4 miles

C 7 miles

D 8 miles

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AR4M04D1401Y123-123B

33 Toshio asked 55 fourth-grade students about their favorite after-school activity He created the graph

below to display the results of his survey

How many students chose riding their bike as their favorite activity?

34 Brad has a bag containing the shapes below

Which statement best describes the outcome if Brad chooses a shape from the bag without looking?

A He is most likely to choose a triangle

* B He is most likely to choose a rectangle

C He is least likely to choose a rectangle

D He is equally likely to choose triangles and circles

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AR4M04N0202Y167-167B

35 Mr Booth put the two groups of numbers

below on the board

What is the rule he used when forming the two

groups?

A Group X: Multiples of 5

Group Y: Even Numbers

* B Group X: Odd Numbers

Group Y: Even Numbers

C Group X: Odd Numbers

Group Y: Multiples of 3

D Group X: Odd Numbers

Group Y: Multiples of 6

AR4M04M1203NXXX-084B

36. Mrs Berini used 18 yards of fabric to make

her living room curtains and 16 yards to make

her bedroom curtains How much more fabric

did she use in the living room than in the

15,285 14,768 14,876 15,852

Which student consumed the least number of calories?

39. Craig’s little brother weighed 5 pounds and

8 ounces when he was born How many ounces did he weigh?

A 40

B 44

C 80

* D 88

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MATHEMATICS OPEN-RESPONSE ITEM A

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A Cameron drew the rectangle below

The length of Cameron’s rectangle is 3 times its width

1 What is the length of Cameron’s rectangle? Explain your answer using words, numbers, and/or pictures

2 What is the area of Cameron’s rectangle? Explain your answer using words, numbers, and/or

pictures

BE SURE TO LABEL YOUR RESPONSES 1 AND 2

RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM A

4 The student earns 4 points Correct units of “cm” in Part 1 Correct units of “Sq cm.” in Part 2 The response contains no incorrect work

3 The student earns 3 points

2 The student earns 2 points

1

The student earns 1 point Some minimal understanding is shown:

Ex Student uses formula for area in Part 1 AND perimeter in Part 2 with all calculations correct

0 The student earns 0 points No understanding is shown

B Blank – No Response A score of “B” will be reported as “NA.” (No attempt to answer the item Score of “0” assigned for the item.)

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Solution and Scoring

Part Points

Note: Do not give credit for answer if incorrect procedure is evident

AND

Work may contain a calculation error

Give credit for the following or equivalent:

• 3 x 3 = L (uses fact that length is 3 times the width and w = 3 cm.)

• “If the width is 3, just multiply that by 3.” or

• 3 + 3 + 9 + 9 = 24 (Finds length based on perimeter, uses Guess & Check) or

• 3 + 3 = 6, 24 – 6 = 18, 18 ÷ 2 = L

Note: Do not give credit for incomplete procedure:

Ex: L = 9 because 24 – 6 = 18

correct answer based on incorrect answer to Part 1

AND

Work may contain a calculation error and/or may be based on an incorrect answer given in Part 1

Give credit for the following or equivalent:

• “3 x 9 = Area.” or

• “I multiplied the width of 3 by the length of 9.” or

• “I multiplied the length times the width, and the length is 9 and the width is 3.” or

• Drawing of a 3 x 9 rectangle that is divided into 27 squares

Note: Do not give credit for only repeating the formula LW = Area only

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MATHEMATICS OPEN-RESPONSE ITEM B

AR4M03A0402Y003-003R

B. Karen wants to make a bookmark out of leather She is planning the design above on paper before she starts cutting the leather

1 Using Karen’s pattern, complete the design for the bookmark

2 How many of each shape will she need to cut out to make her bookmark?

3 Use the same number of squares, circles, and rhombuses to design a new bookmark that follows a regular pattern

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

RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM B

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 Some minimal understanding is shown:

Ex Part 1: 1 row is completed correctly with no other credit

0 The student earns 0 points No understanding is shown

B Blank – No Response A score of “B” will be reported as “NA.” (No attempt to answer the

item Score of “0” assigned for the item.)

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Solution and Scoring

Part Points

completed, as shown in the diagram below:

Note: Top and bottom row do not have to be aligned

(shapes may be named or drawn)

Or

Correct # of squares, rhombuses and circles based on Part 1 answer

Note: Design may be in a single row or a continuous pattern

Note: If design is in a double row, both rows must have a repeating pattern or

Note: Design must be different from the original bookmark

• 10 squares, 5 rhombuses, 5 circles OR Equal #’s of each shape

• The pattern is repeating horizontally, repeats at least once and has no errors

Or

• Design uses 10 Squares, 5 rhombuses, 5 circles or equal #’s of each

(Repeats correctly at least once, proceeds with something incorrect.) or

• The #’s of squares, rhombuses and circles ≠10, 5, and/or 5, and there are not equal #’s of each shape, but the design repeats correctly at least once

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MATHEMATICS OPEN-RESPONSE ITEM C

2 If 12 is the dividend and 4 is the quotient, what is the divisor? Write a number sentence using

Mrs Grey’s numbers and your divisor

BE SURE TO LABEL YOUR RESPONSES 1 AND 2

RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM C

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 Some minimal understanding is shown:

Ex 3 x 4 = 12 with no other credit

0 The student earns 0 points No understanding is shown

B Blank – No Response A score of “B” will be reported as “NA.” (No attempt to answer the item Score of “0” assigned for the item.)

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Solution and Scoring

Part Points

Note: Do not give credit if incorrect procedure is used:

Ex: 4 x 4 = 16 AND

Work may contain a calculation error

Give credit for the following:

• 12 + 4 = # or

• 4 + 12 = # Give credit for the following only with an answer of 16:

• 16 – 4 = 12 (Guess & Check)

• 16 – 12 = 4 (Guess & Check) Note: Do not give procedure credit for work that is not in the form of an equation:

Ex: 12 or

16 Ex: “I added 12 and 4 and got…”

Give credit if the answer is stated “The divisor is 3.” or if 3 is shown as the divisor in a division operation: Ex:

4123

Note: Do not give credit if incorrect procedure is used:

Ex: 4 ÷ 12 = 3

AND

Give credit for the following:

• 12 ÷ 3 = 4 or

• 12 ÷ (divisor) = 4 or Give credit for the following only with an answer of 3:

• 3 x 4 = 12 (Guess & Check)

• 4 x 3 = 12 (Guess & Check)

• 12 ÷ 4 = 3 (Give credit except at “4” level)

Note: Do not give procedure credit for work that is not in the form of an equation:

Ex: Shows short division:

412

Ex: “I divided 12 by 3 and got…”

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AR4M04G1102Y070-070CR

D Casey used four pattern blocks to create the design below

1 Name the four pattern blocks Casey used You may use your pattern blocks to help you find the answer

2 What is another way that Casey’s design could have been created if he had used more than four blocks? Explain your answer using words, numbers, and/or pictures

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 Some minimal understanding is shown:

Ex Part 1: 2 correct names and #’s, 3rd name incorrect (with no drawing) (Square, Trapezoid, 2 Octagons)

Ex Part 1: correct drawings of Hexagon, Trapezoid, and Square

0

The student earns 0 points No understanding is shown

Ex 4 different polygons named – Octagon, Hexagon, Square, Trapezoid

Ex Part 1: 2 Octagons, 1 Square, and 1 Quadrilateral

RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM D

MATHEMATICS OPEN-RESPONSE ITEM D

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Solution and Scoring

Part Points

(Shapes are correctly named with correct # of each.) Note: Rhombus, rectangle, parallelogram or quadrilateral may be used for the square

But do not give credit if quadrilateral is used for both the trapezoid & square

Or

Give credit for the following:

• Hexagon, Trapezoid and Square (correct shapes, no #’s)

Or

but name may be incorrect or missing

Give credit for the following:

Note: If incorrect name(s) are given in Part 1, do not penalize again

Credit can be given if answer is “correct” based on Pt 1 answer

• Correct shapes and # of shapes (> 4) needed to make new design with support explaining or showing why they will work:

Ex: 1 hexagon, 3 trapezoids and 1 square with given diagram correctly divided

Ex: “4 trapezoids, 3 triangles and one square because 2 trapezoids could make up each hexagon and 3 triangles could make up one trapezoid.”

Ex: “2 hexagons, 1 square, 1 triangle, 1 rhombus since a trapezoid can be made up of 1 triangle and 1 rhombus.”

Ex: 5 trapezoids and 1 square with given diagram correctly divided

Ex: “15 triangles and 1 square because 6 triangles make up 1 hexagon and

3 triangles make up 1 trapezoid so 6 + 6 + 3 = 15 triangles, + 1 square.”

Or

• Correct and complete drawing of given design divided up into more than

Or

Give credit for the following:

• Correct shapes and #’s of each shape needed to make new design with missing, incomplete or contradicting support or

• Correct and complete new drawing with contradicting support or

• Description of how to divide one of the figures in the given drawing, but

no reference is made to the rest of the given figure

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AR4M04D1501Y148-148CR

E Joseph made the pictogram below to show the number of hits he had in his last four baseball games

1 How many hits did Joseph have in Game 2? Explain your answer using words and/or numbers

2 How many more hits did Joseph have in Game 4 than in Game 3? Explain your answer using words and/or numbers

BE SURE TO LABEL YOUR RESPONSES 1 AND 2

4 The student earns 4 points The responsecontains no incorrect work

3 The student earns 3 points

2 The student earns 2 points

1

The student earns 1 point Some minimal understanding is shown:

Ex Part 2: 9 minus any # (≠ 3) = answer with no credit in any other part

Ex Part 2: # (≠ 9) – 3 = answer with no credit in any other part

Ex Part 2: correct # of hits (identified) in Game 3 and/or 4

0 The student earns 0 points No understanding is shown

RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM E

MATHEMATICS OPEN-RESPONSE ITEM E

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