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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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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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
Trang 416. 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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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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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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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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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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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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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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AR4M04M1310Y100-100CR
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.)
Trang 13Solution 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
Trang 14MATHEMATICS 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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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
Trang 16MATHEMATICS 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.)
Trang 17Solution 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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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
Trang 19Solution 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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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