Transcript File

Grade 3-5 SBAC Samples
Claim 4 Sample Items and Solutions
“Modeling and Data Analysis”
Gina is making cookies. The last three steps used to make
the cookies are shown.
TA-G5
Step 5: Roll the cookies into ½-inch balls.
Step 6: Place the cookies on a baking tray 2 inches apart.
Step 7: Bake for 12 minutes.
This recipe makes 18 to 24 cookies.
Gina wants to give cookies to 9 people. She wants to give each
person 3 cookies. She does not want extra cookies. Which
action will help Gina get closest to the exact number of cookies
she needs?
A. Place the cookies 3 inches apart.
B. Bake the cookies for only 10 minutes.
C. Roll the cookies slightly bigger than ½ inch.
D. Roll the cookies slightly smaller than ½ inch.
Q1
Rubric:
(1 point) The student correctly determines which action
will help Gina get closest to the exact number of cookies
(e.g., D).
Q1 Answer
Some students are painting this
backdrop for the school play.
The backdrop is taped off into 12
equal sections for the students to
paint.
• Mark paints 2 times as much
as Jill.
• Sam paints 3 times as much as
Lou.
• Lou paints 1 section less than
Mark.
1
• Jill paints of the backdrop.
TA-G4
12
Enter the fraction of the
backdrop that still needs to be
painted.
Q2
Rubric:
(1 point) The student is able to determine the
5
fraction that still needs painted (e.g., ).
12
Q2 Answer
TA-G5
Mary, Sally, and Erin competed in a three-part race. A “finish time”
for each person is the total amount of time to finish all three
events.
• Mary’s swim time was 0.10 hour faster than Erin’s run time.
• Sally’s finish time was 0.12 hour faster than Mary’s finish time.
• Erin finished the race in 2.72 hours.
Drag numbers into the boxes to complete the missing times for
each girl.
Q3
Rubric:
(3 points) The student is able to complete all parts of
the table correctly (e.g., Mary’s swim time: 0.80; Sally’s
bike time: 1.64; Erin’s run time: 0.90). Each part is
independently scored as 1 point.
Q3 Answer
TA-G3
Eva gets home from school at 4:50 p.m. She eats dinner at 6:00
p.m. She spends the time between getting home and eating
dinner on some of the activities in this table. Eva completes as
many of these activities as she can before dinner. Click in the
chart to show a set of activities that Eva could complete.
Eva’s Favorite Activities
Activity
Minutes
Bike
20
Watch TV
30
Play games
30
Read
20
Play outside
40
Play with her dog
10
Color
10
Q4
Rubric:
(1 point) The student is able to identify four activities
within the specified time period of 70 minutes or less
(e.g., Color, Play with her dog, Read, Bike; or Color, Play
with her dog, Read, Watch TV; or Color, Play with her
dog, Read, Play games; or Color, Play with her dog, Bike,
Play games; or Color, Play with her dog, Bike, Watch TV).
Q4 Answer
Tyra wants to enclose a section of her lawn
for her dog to be able to have an outdoor
play area. She knows that if she uses the side
of her house as one side of the play area, her
dog will have a larger outdoor play area.
Tyra’s plan for the play area includes the
following:
• It will be in the shape of a rectangle.
• The side of the house will be used as one
side of
• the rectangular area.
• She will use exactly 24 feet of fence
material to
• enclose the play area.
• The length and width of the enclosure will
be whole units.
• She wants the play area to be greater
than 60 square feet.
Use the Connect Line tool to create a
rectangular play area that meets Tyra’s plan.
TB-G4
Q5
Rubric:
(2 points) The student is able to construct a 4 by 16 or
8 by 8 rectangle using the side of the house.
(1 point) Partial credit is possible for constructing a
rectangle that uses exactly 24 feet of fencing, but
doesn’t reflect using the side of the house as one of
the sides, nor the area being greater than 60 square
feet (e.g., 1 by 11, 2 by 10, 3 by 9, 4 by 8, 5 by 7, or
6 by 6).
Q5 Answer
TC-G5
Oliver’s family planted a tree on his 1st birthday. Each year the tree
grows about the same amount. Oliver’s family has measured the
height of the tree every year on his birthday, except they forgot to
record its height on his 5th birthday.
Oliver’s Birthday
1st
2nd
Height of Tree (ft)
5
12
1
1
2
3rd
3
1
4
4th
5th
2
3
?
4
6th
7
4
12
Which measurement is the most reasonable estimate for the height
of the tree on Oliver’s 5th birthday?
1
A. 5 ft
12
3
B. 5 ft
8
1
C. 6 ft
6
11
D. 6 ft
12
Q6
Rubric:
(1 point) The student selects the most reasonable
height (e.g., C).
Q6 Answer
TD-G4
A group of 137 students and 15 adults go to a museum. The
students and adults have to take the elevator up to the 6th floor.
• The elevator can hold a maximum of 12 people.
• At least one adult must ride with each group of students on
the elevator.
Part A:
What is the fewest number of elevator trips it will take to get all
of the students and adults to the 6th floor? Enter your response
in the first response box.
Part B:
What is the fewest number of people on the final elevator trip?
Enter your response in the second response box.
Q7
Rubric:
(2 points) The student correctly enters the minimum
number of trips and the total number of people on the
last elevator (e.g., 13, 8).
(1 point) Partial credit is possible for correctly entering
the minimum number of trips or the total number of
people on the last elevator.
Q7 Answer
TD-G5
The trailer of a truck is packed with boxes of paper. The boxes are packed 5
boxes deep by 4 boxes high by 4 boxes across, as shown in the picture.
When the driver is in the truck and the trailer is empty, the mass of the
truck is 2948.35 kilograms.
•
•
•
•
The mass of 1 box of paper is 22.5 kilograms.
The driver delivers some of the boxes of paper at his first stop.
The truck has to drive over a bridge on the way to the next stop.
Trucks with a mass greater than 4700 kilograms are not allowed to drive
over the bridge.
Enter the minimum number of boxes of paper the driver must deliver at the
first stop to be allowed to drive over the bridge.
Q8
Rubric:
(2 points) The student enters the correct whole
number of boxes that must be delivered (e.g., 3).
(1 point) Partial credit is possible for correctly
determining the exact number of boxes and entering
any value from 2.1-2.148 or for mistakenly rounding
down to 2 instead of up to 3 boxes as needed.
Q8 Answer
TD-G5
Gabi measures the amount of water, in liters, in
5 identical jars.
Gabi combines all of the water and then divides it
equally into the 5 jars. How much water, in liters, does
she put in each jar? Enter your answer in the response
box.
Q9
Rubric:
(1 point) (1 point) The student correctly uses the data
9
from a line plot to find a quotient (e.g., ).
10
Q9 Answer
TD-G4
This line plot shows the amounts of rain, in inches, that fell
each week for 8 weeks. Decide if each statement is True or
False. Click True or False for each statement.
Statement
True
False
The most rain that fell in one week is 4 inches.
1
The lease rain that fell in one week is 24 inches.
1
Exactly 4 weeks had more than 22 inches of rain.
Q10
Rubric:
(1 point) The student correctly identifies all three
statements as true or false (e.g., F, F, T).
Q10 Answer
There are 3 bookcases in a classroom.
• Each bookcase has 2 shelves.
• Each shelf has the same number of books (n).
• There are 54 books in all.
TE-G3
Which equation can be solved to find the total
number of books (n) on each shelf?
A. 3 × 2 + n = 54
B. 3 + 2 + n = 54
C. 3 + 2 × n = 54
D. 3 × 2 × n = 54
Q11
Rubric:
(1 point) The student selects the correct equation (e.g., D).
Q11 Answer
Liam uses string to form a rectangle
with length 100 feet and width 50
feet to estimate the area of a small
pond. Which is the best estimation
for the area of the pond? The area of
the pond is
TE-G5
A. less than 2500 square feet.
B. greater than 7500 square feet.
C. is between 2500 square feet and
5000 square feet.
D. is between 5000 square feet and
7500 square feet.
Q12
Rubric:
(1 point) The student correctly describes the area
(e.g., C).
Q12 Answer
TE-G3
Joe is building a play area for his dog. The play area is made
up of grass and dirt.
• The grass area is rectangular. It has a width of 2 meters
and a length of 3 meters.
• The dirt area is rectangular. It has a width of 2 meters
and a length of 5 meters.
Complete the equation that can be used to find the total
play area including grass and dirt. Drag numbers from the
palette to complete the equation.
( __ × __ ) + ( __ × __ ) = _____ square meters
Q13
Rubric:
(1 point) The student completes the equation
(2 × 3) + (2 × 5) = 16 square meters.
Alternate ordering of numbers is acceptable, reflecting
correct use of the Commutative Property, including
(3 × 2) + (5 × 2) = 16 and (2 × 5) + (2 × 3) = 16.
Q13 Answer
TE-G4
Which situation is represented by the equation 4 × 3 =
?
A. A kitten weighs 4 pounds. A puppy weighs 3 times as much
as the kitten. How much does the puppy weigh?
B. A kitten weighs 4 pounds. A puppy weighs 3 pounds more
than the kitten. How much do they weigh altogether?
C. A kitten weighs 4 pounds. A puppy weighs 3 pounds more
than the kitten. How much does the puppy weigh?
D. A kitten weighs 4 pounds. A puppy weighs 3 times as much
as the kitten. How much do they weigh altogether?
Q14
Rubric:
(1 point) The student correctly identifies the context
that represents the multiplication equation as a
multiplicative comparison (e.g., A).
Q14 Answer
TE-G3
There are 123 girls and 135 boys in the third grade at a
school. Today there are a total of 9 third grade
students absent. Which equation can be used to find
the total number of third grade students (s) in school
today?
A. 123 + 135 = s
B. 135 – 9 = s
C. 123 + 135 + 9 = s
D. 123 + 135 – 9 = s
Q15
Rubric:
(1 point) The student selects the correct equation
(e.g., D).
Q15 Answer
TE-G5
Adam is making muffins and cookies. He uses
of flour to make muffins and
1
2
4
1
3
2
cups
cups of flour to make
cookies. In the first box, enter an equation that can be
used to find the total number of cups of flour, f, Adam
uses. In the second box, enter the total number of
cups of flour that Adam uses.
Q16
Rubric:
(2 points) The student correctly enters an equation to
1
1
solve the problem (e.g., 3 + 2 = 𝑓) and correctly
2
enters a solution (e.g.,
3
5 ).
4
4
(1 point) Partial credit is available for correctly
entering an equation to solve the problem or correctly
entering the solution, but not both.
Q16 Answer
TF-G3
Juan draws a polygon with a perimeter of 36 units. He
covers the area of the polygon with tiles that are each
1 square unit.
Part A: Enter an equation that could be used to find
the value of n in the first response box.
Part B: Enter the number of tiles Juan uses to cover
the polygon in the second response box.
Q17
Rubric:
(2 points) The student enters a valid equation and
enters the area of the polygon
(5 + 2 + 4 + 7 + n + n = 36 or 7 + 2 = n or 5 + 4 = n; 73).
(1 point) Partial credit is possible for entering a valid
equation or entering the area, but not both.
Q17 Answer
TF-G3
The table shows the start and end times for runners in
a race.
Racing Times
Runner
Start Time
End Time
Mike
12:03 p.m.
12:26 p.m.
Ann
12:10 p.m.
12:17 p.m.
John
12:13 p.m.
12:19 p.m.
Patty
12:16 p.m.
12:25 p.m.
What is the difference, in minutes, between Patty’s
start time and Mike’s start time?
Q18
Rubric:
(1 point) The student enters the correct difference
(e.g., 13).
Q18 Answer