Unit 1 Interim Assessment
Solve the problems.
1 The population of a city in
North Carolina is 403,892. What
is 403,892 rounded to the nearest
thousand?
3 What is the sum of 7,447 and 1,027?
A84,641
B84,614
A410,000
C8,474
B404,000
D8,464
C403,000
D400,000
4 What is the expanded form of 9,787?
A9 1 7 1 8 1 7
2 A survey reported that 713,298 people
visited the local Science Museum last
year. How can 713,298 be written in
word form?
34
A
Seventy-one thousand,
three hundred twenty-nine
B
Seven hundred thirteen
thousand, two hundred
ninety-eight
B9,000 1 780 1 7
C9,000 1 700 1 87
D9,000 1 700 1 80 1 7
5 Which number sentences are true?
Circle the letter for all that apply.
A386 1 752 5 1,038
C
Seven hundred thirteen,
two ninety-eight
B14,000 , 14,999
D
Seven hundred thirty thousand,
two hundred ninety-eight
D98,997 . 100,001
C9,787 5 9,000 1 780 1 7
Unit 1 Interim Assessment
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Interim Assessment
Unit 1
6 This set of place-value blocks represents a number. The value of this number can be
represented in many different ways.
Key
51
For parts a–c, choose Yes or No to show whether the value is equivalent to the number
represented by the place-value blocks.
a. Two hundred forty-five
Yes
No
b.200 1 140 1 5
Yes
No
c.
Yes
No
3 hundreds 1 40 tens 1 5 ones
7 The four tallest mountains in the world are listed below.
K2 (Godwin-Austen)KangchenjungaEverestLhotse
28,251 feet
28,169 feet
29,035 feet
27,939 feet
Part A
Write the heights in the boxes to arrange them from greatest to least number of feet.
.
.
.
Part B
When Lina rounded the heights, she got the same number for all four mountains.
When Adam rounded, he got the same number for three of the mountains and a
different number for the fourth. Can they both be correct? Explain why or why not.
Part C
The fifth highest mountain is Makalu. Its height, rounded to the nearest hundred, is
27,800 feet. What is the highest that this mountain can be? How do you know?
Unit 1 Interim Assessment
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35
Interim Assessment
Unit 1
Performance Task
CHECKLIST
Answer the questions and show all your work on separate paper.
The students at Water Street Elementary School have been given
a “Million Minute Reading Challenge.” Students record the
number of minutes that they read each day and their teachers
find the total for each grade. The chart below shows the number
of minutes read in the first four months of the challenge.
Number of
Minutes
First
Grade
Second
Grade
Third
Grade
Fourth
Grade
Fifth
Grade
98,050
30,451
100,870
145,689
120,270
Did you . . .
Show the original
data and all
calculations?
Explain how you
made your estimate?
Write a complete
letter?
The principal of Water Street Elementary School wants a report on the school’s progress. She
wants to know each grade’s totals to the nearest thousand and approximately how close the
school is to reaching one million minutes. Write a letter to the principal describing how close
students are to their goal and estimating how much more time they need. In the letter you
should show your work and explain your reasoning.
Reflect on Mathematical Practices
After you complete the task, choose one of the following questions to answer.
1. Persevere Which information given in this problem helped you decide how to begin?
2. Reason Mathematically How does rounding help you to solve this problem?
36
Unit 1 Interim Assessment
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Interim Assessment (Student Book pages 34–36)
Unit 1
unit 1 Interim Assessment
Interim Assessment
Solve the problems.
1
2
The population of a city in
North Carolina is 403,892. What
is 403,892 rounded to the nearest
thousand?
6
3
unit 1
This set of place-value blocks represents a number. The value of this number can be
represented in many different ways.
What is the sum of 7,447 and 1,027?
A
Key
51
84,641
B
84,614
A
410,000
C
8,474
For parts a–c, choose Yes or No to show whether the value is equivalent to the number
represented by the place-value blocks.
B
404,000
D
8,464
a.
Two hundred forty-five
C
403,000
b.
200 1 140 1 5
D
400,000
c.
3 hundreds 1 40 tens 1 5 ones
4
A survey reported that 713,298 people
visited the local Science Museum last
year. How can 713,298 be written in
word form?
What is the expanded form of 9,787?
A
9171817
B
9,000 1 780 1 7
C
9,000 1 700 1 87
D
9,000 1 700 1 80 1 7
7
A
Seventy-one thousand,
three hundred twenty-nine
B
Seven hundred thirteen
thousand, two hundred
ninety-eight
A
386 1 752 5 1,038
C
Seven hundred thirteen,
two ninety-eight
B
14,000 , 14,999
Seven hundred thirty thousand,
two hundred ninety-eight
C
9,787 5 9,000 1 780 1 7
D
98,997 . 100,001
D
3 No
Yes
3 Yes
3 Yes
No
No
The four tallest mountains in the world are listed below.
K2 (godwin-Austen)
28,251 feet
Kangchenjunga
28,169 feet
everest
29,035 feet
lhotse
27,939 feet
Part A
Write the heights in the boxes to arrange them from greatest to least number of feet.
5
29,035
Which number sentences are true?
Circle the letter for all that apply.
.
28,251
.
28,169
.
27,939
Part B
When Lina rounded the heights, she got the same number for all four mountains.
When Adam rounded, he got the same number for three of the mountains and a
different number for the fourth. Can they both be correct? Explain why or why not.
It is possible for them to both be correct. If lina rounds to the nearest ten thousand,
she gets 30,000 feet for all four heights. If Adam rounds to the nearest thousand,
Part C
he gets 29,000 feet for everest and 28,000 for the others.
The fifth highest mountain is Makalu. Its height, rounded to the nearest hundred, is
27,800 feet. What is the highest that this mountain can be? How do you know?
The tallest Makalu can be is 27,849 feet. If it were 27,850 feet (or taller), then its
height rounded to the nearest hundred would be 27,900 feet.
34
Unit 1 Interim Assessment
Unit 1 Interim Assessment
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Copying is not permitted.
35
Scoring Guide And Answer Analysis
1Solution: B; To round to the nearest thousand, look
at the hundreds place. 8 is greater than 5, so you
round up to 404,000. (DOK 1)
2Solution: B; Start at the left and write the number to
the first comma, followed by the name of the period
(thousands). Then write the three-digit number in
the ones period. (DOK 1)
3Solution: C; 7,447 1 1,027 5 8,474. (DOK 1)
4Solution: D; 9,787 has 9 thousands, 7 hundreds,
8 tens, and 7 ones. (DOK 1)
6Solution: a. No; b. Yes; c. Yes (DOK 2)
7Part A Solution:
29,035 . 28,251 . 28,169 . 27,939
Part B Solution:
Yes; See student book page above for possible student
explanation.
Part C Solution:
27,849; See student book page above for possible
student explanation. (DOK 3)
5Solution: B; 14,000 is less than 14,999 because
9 hundreds are greater than 0 hundreds.
C; The sum of 9,000 1 780 1 7 is 9,787. (DOK 1)
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37
Interim Assessment
Unit 1
PERFORMANCE TASK TEACHER NOTES
Common Core Standards: 4.NBT.A.1, 4.NBT.A.2,
4.NBT.A.3, 4.NBT.B.4
Standards for Mathematical Practice: 1, 2, 3, 4, 6
DOK: 3
Materials: none
About the Task
To complete this task, students use their understanding
of place value to round numbers and add large numbers.
Students analyze information provided in a chart,
interpret their calculations, make a prediction, and
provide a reasonable argument to explain their answer.
Getting Students Started
Read the problem out loud with students. Ask students
if they can write the number one million on paper or at
the board. You may even want to ask students if they
think one student could read one million minutes by
themselves. Point out the phrases “to the nearest
thousand” and “approximately how close” to be sure
that your students understand that the principal does
not need an exact number of minutes. Ask students
what would make these large numbers easier to add. If
students do not come up with the strategy of rounding
the number, bring this up as a class discussion. Help
your students study the chart. Ask students which
grade read the most/least minutes, and whether they
think the school has reached its goal yet. (SMP 1)
Completing the Task
Students should first round all of the numbers. Ask
students to explain how to round to the nearest
thousand. A row can be added to the chart so that
students can record the rounded number. (SMP 2)
Students should then add the five rounded numbers to
find the total estimated number of minutes. Ask
students if rounding would be a good strategy to use
when the principal wants to know the exact number of
minutes, or when the students are close to reaching the
goal and need to see whether they have reached one
million yet. (SMP 3)
Some students may need help writing a letter. They
should include a greeting, the body of the letter with an
answer to the principal’s question, an explanation of
how they came up with the answer, and a closing and
signature. Ask students if their letters include all of the
38
Interim Assessment
unit 1
Performance Task
cHecKlIST
Answer the questions and show all your work on separate paper.
The students at Water Street Elementary School have been given
a “Million Minute Reading Challenge.” Students record the
number of minutes that they read each day and their teachers
find the total for each grade. The chart below shows the number
of minutes read in the first four months of the challenge.
Number of
Minutes
First
grade
Second
grade
Third
grade
Fourth
grade
Fifth
grade
98,050
30,451
100,870
145,689
120,270
Did you . . .
Show the original
data and all
calculations?
Explain how you
made your estimate?
Write a complete
letter?
The principal of Water Street Elementary School wants a report on the school’s progress. She
wants to know each grade’s totals to the nearest thousand and approximately how close the
school is to reaching one million minutes. Write a letter to the principal describing how close
students are to their goal and estimating how much more time they need. In the letter you
should show your work and explain your reasoning.
reflect on Mathematical Practices
After you complete the task, choose one of the following questions to answer.
1. Persevere Which information given in this problem helped you decide how to begin?
2. Reason Mathematically How does rounding help you to solve this problem?
36
Unit 1 Interim Assessment
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information the principal needs and whether there is
more information they could give. (SMP 3, 6)
Extension
If some students have more time to spend on this
problem, you can have them solve this extension:
The chart below shows how many minutes the Water
Street Elementary School students read in the two
months after you wrote your letter to the principal.
Number
of
Minutes
First
Grade
Second
Grade
Third
Grade
Fourth
Grade
Fifth
Grade
49,637
16,793
51,306
70,920
59,482
Estimate each grade’s new total to the nearest thousand.
Then find the new total for the whole school.
Unit 1 Interim Assessment
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Interim Assessment
Unit 1
Performance Task Sample Responses and Rubric
4-Point Solution
Dear Ms. Principal,
The students at your school have read about 495,000 minutes in the last four months. This is almost halfway to the
million minute mark! Since you didn’t want an exact answer, I rounded each grade’s minutes to the nearest thousand.
Then I added up all of these rounded numbers to come up with 495,000.
First
Second
Third
Fourth
Fifth
98,000
Grade
Grade
Grade
Grade
Grade
30,000
101,000
Number of Minutes
98,050
30,451
100,870
145,689
120,270
146,000
Rounded Number
98,000
30,000
101,000
146,000
120,000
1 120,000
495,000minutes
It took the students four months to reach the halfway mark. If they keep reading at this rate, they will need about
another four months to reach their goal.
Very truly yours,
Hannah
Reflect on Mathematical Practices
1. Look for an understanding that the principal’s request for an approximation explains why rounding is the first
step of the solution. (SMP 1)
2. Look for explanations that rounding makes the addition easier and helps you to make good estimates. (SMP 2)
Scoring Rubric
4 pointsThe student’s answer is accurate and the explanation given in the letter is complete and easy to understand.
Numbers are rounded correctly and then added without error. The letter shows a good understanding of
estimation and it includes a greeting and signature.
3 pointsThe student’s answer is accurate. Numbers were rounded correctly and then added without error. The
student may have had difficulty explaining her or his reasoning in the letter provided to the principal.
Language used may imply that the numbers and prediction are exact rather than estimates.
2 pointsThe student’s answer is incorrect. Rounding or addition is shown with errors. A letter is provided with some
of the required elements.
1 pointThe student’s answer is incorrect. There are errors in rounding and adding, or no work is shown. The prediction
for when the goal is reached is either incorrect or missing. The letter is incomplete or does not include an
explanation of how the student found the answer.
Solution to the Extension
Minutes read in the last two months:
First
Grade
Second
Grade
Third
Grade
Fourth
Grade
Fifth
Grade
Number of Minutes
49,637
16,793
51,306
70,920
59,482
Rounded Number
50,000
17,000
51,000
71,000
59,000
The new total is 495,000 minutes + 248,000 minutes, or 743,000 minutes.
Unit 1 Interim Assessment
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50,000
17,000
51,000
71,000
1 59,000
248,000minutes
39