interim-assessment-key-unit-1

Unit 1
Unit 1 Interim Assessment
Assessment
Interim Assessment
Assessment
Solve the problems.
1 Which number is equivalent to
0.15 3 103?
Solutions
4 The table shows the lengths of the
five keys that Paco has on his keychain.
A 0.015
1 Solution
D; Move the decimal point in 0.15 to the
right the number of places indicated by
the exponent of 10.
DOK 1
C
2 The driving distance between
Buffalo, NY, and Rochester, NY, is
117.456 kilometers. What is this
distance rounded to the nearest tenth?
B; When rounding to the nearest tenth,
look at the digit in the hundredths place.
Since the digit in the hundredths place is
5 or greater, add 1 to the digit in the
tenths place and change the digits to the
right of the tenths place to 0. Write the
decimal number as a tenths decimal,
leaving off the zeros in the hundredths
and thousandths places.
DOK 1
6.104
5.793
W
6.079
H
5.785
S
6.106
B 117.5 kilometers
a. T . S
True
C
b. W , G
True
3 False
3 False
c. G . H
3 True
False
d. S , W
True
3 False
e. W . H
3 True
False
117.46 kilometers
A Julie rode more than twice as
many miles in July as in August.
B Julie rode a total of 295.36 miles
during summer vacation.
C
96
T
G
Choose True or False for each
inequality.
3 Julie likes to ride her bike during
summer vacation. In June, she rode her
bike 104.78 miles. In July, she rode
129.53 miles. In August, she rode
61.05 miles. Which statement is true?
Circle the letter for all that apply.
A; Multiply: 61.05 3 2 5 122.1.
Compare 122.1 to 129.53. 129.53 is greater
than 2 times 61.05.
B; Add: 104.78 1 129.53 1 61.05 5 295.36
C; Subtract: 104.78 2 61.05 5 43.73
DOK 2
Length
(centimeters)
A 117 kilometers
D 120 kilometers
3 Solution
a. False;
b. False;
c. True;
d. False;
e. True
DOK 1
15
D 150
2 Solution
4 Solution
Key Label
B 0.15
5 Which equation is true? Circle the letter
for all that apply.
A 61 3 5 5 3,050 4 10
B 381 3 27 5 1,143 4 9
C
854 3 63 5 53,802
D 562 3 42 5 23,604
Julie rode 43.73 miles more in
June than in August.
D Julie rode more miles in June than
in July.
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Unit 1 Interim Assessment
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Teacher Notes
5 Solution
A; Both expressions equal 305.
C; Both expressions equal 53,802.
D; Both expressions equal 23,604.
DOK 1
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Unit 1 Interim Assessment
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Unit 1 Interim Assessment
6 Ben is learning about place value in his math class.
Part A Ben writes the number 74,443. The value of the digit 4 in the hundreds place
is 10 times the value of the digit 4 in what place value?
Solutions
tens place
Solution
6 Part A Solution
Part B Ben’s teacher asks him to write a three-digit number that uses the digit 3
1 the value of the
once and the digit 6 twice. The value of one 6 needs to be }}
10
other 6. What number can Ben write?
Solution
tens place; Identify that the 4 in the
hundreds place is 10 times the value of
the 4 in the tens place.
366 or 663
7 Coach Miller is having a cookout at the park for his baseball team.
Part A Coach Miller bought 5.15 pounds of ground beef to make burgers. The
cost of ground beef is $3.40 for each pound. What was the total cost for all of
the ground beef?
Show your work.
Possible student work:
Solution
1
2
5.15
3 3.4
2060
1 15450
17.510
7 Part A Solution
$17.51; Multiply the number of pounds of
ground beef by the cost for each pound.
See possible student work on the Student
Book page.
$17.51
Part B Coach Miller is using all the ground beef to grill 17 burgers.
0.03
What is the cost for each burger?
1.00
Show your work. Possible student work using division:
17q······
17.51
2 17.00
0.51
2 0.51
0
Solution
Part B Solution
366 or 663; Write a three-digit number
using 3, 6, and 6 so that the two 6s are in
consecutive places, meaning that the
place value of one 6 is one-tenth the place
value of the other 6.
DOK 2
Part B Solution
$1.03; Divide the total cost for all of the
ground beef from Part A by the number
of burgers.
DOK 2
$1.03
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Unit 1 Interim Assessment
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Teacher Notes
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Unit 1 Interim Assessment
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Unit 1 Interim Assessment continued
Unit 1 Interim Assessment
Assessment
Performance Task
Answer the questions and show all your work on separate paper.
You have a movie theater gift card worth $40, so you invite a friend
to go to the movies with you. Your friend challenges you to spend
the exact value of the gift card. Find at least one way to do so by
choosing from the items listed below.
Standards: 5.AT.1, 5.AT.5, 5.C.1, 5.C.2, 5.C.8,
5.NS.1, 5.NS.3, 5.NS.4, 5.NS.5
Process Standards for Mathematics
Item
1, 2, 4, 5, 6
DOK: 3
Materials: calculator (optional)
Step By Step
About the Task
Price
2D movie ticket
$7.25
3D movie ticket
$8.50
Small Popcorn
$3.25
Medium Popcorn
$5.50
Large Popcorn
$7.75
Bottle of Water
$2.50
1 Ounce of Snack Mix
$0.50
Checklist
Did you . . .
organize your choices?
check your
calculations?
use words and
numbers to complete
the task?
Reflect
To complete this task, students perform
mathematical operations on decimal numbers.
Students analyze the information provided in
a table, develop a plan to solve the problem,
and continually evaluate their progress in
order to plan their next step.
Use Process Standards After you complete the task, choose one of the following
questions to answer.
• Persevere What strategies did you use? If a strategy did not work, what did you do?
• Model How did you use equations to solve this problem?
Getting Started
Read through the problem with your students.
Be sure students understand that since two
people are going to the movies, two movie
tickets need to be purchased with the gift
card. If some students are having a difficult
time getting started, ask them how much
money is left after two tickets have been
purchased. (PS 1)
Completing the Task
First, students need to analyze the problem and
review the items and prices in the table. Since
two people are involved, two movie tickets need
to be purchased. The remaining money can be
spent on refreshments. (PS 1, 2)
The guess-and-check strategy is one approach
to use for this problem. It may take students
several attempts to arrive at a correct solution.
Organizing the potential purchases in a table
to keep a running balance will help students
to see how close they are to their goal. Some
students may choose to add their purchases as
they go, comparing their total to $40 at each
step. Another approach is to start with the $40
and subtract each purchase to find out how
much money is left, stopping when they reach
$0. Ask students how they plan to keep track
of their spending and check their progress.
(PS 1, 4)
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Unit 1 Interim Assessment
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Unit 1 Interim Assessment
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As students near their $40 limit ask how
they can spend the last few dollars.
If they plan to use the remainder on
snack mix, help them see that their last
purchase before the snack mix must
leave them with a multiple of $0.50.
(PS 2)
Students will need to make several
calculations while solving this problem.
You may want to supply calculators for
this task. (PS 5)
The last step is to present all the
information in the solution clearly and
completely. This includes showing all the
calculations in the solution. (PS 6)
Extension
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Unit 1 Interim Assessment
4-Point Solution
Item
Scoring Rubric
Cost
Amount Remaining
2 tickets to 2D movie
2 3 $7.25 5 $14.50
$40.00 2 $14.50 5 $25.50
Points
2 large popcorns
2 3 $7.75 5 $15.50
$25.50 2 $15.50 5 $10.00
4
2 bottles of water
2 3 $2.50 5 $5.00
$10.00 2 $5.00 5 $5.00
10 ounces of snack mix
10 3 $0.50 5 $5.00
$5.00 2 $5.00 5 $0.00
The student’s response is accurate and complete. All
calculations are correct and the total spent equals $40.
The choices reflect the fact that a student and friend
attend a movie together and both get snacks.
3
The student made one or two minor errors in calculations,
which resulted in an incorrect solution. The student
understands that two movie tickets need to be a part of
the solution and the full amount of the gift card needs to
be spent.
2
T here are several mistakes in the calculations. The
student’s response is incorrect and/or incomplete.
The student attempted to organize the calculations.
1
T he solution is incorrect. The solution is not well
organized or is not defended mathematically. The
student understands that two movie tickets need to be a
part of the solution OR that the full amount of the gift
card needs to be spent.
The entire $40.00 gift card can be spent on two tickets to a
2D movie, 2 large popcorns, 2 bottles of water, and 10 ounces
of snack mix.
Expectations
Extension
Reflect
Take the Performance Task further.
1. Students may have used guess-and-check,
work backwards, write an equation, or a
combination of these strategies. Look for a
clear explanation of how the method was
used, how well it worked, and what they did if
they had trouble with the method they used.
(PS 1)
You invite another friend to join you, and the three of you decide to see
a 3D movie. Describe a way you can spend exactly $40 if your purchases
include admission to the movie for all three of you.
Solution
The entire $40.00 gift card can be spent on three tickets to a 3D movie,
3 bottles of water, and 14 ounces of snack mix.
Item
Cost
Amount Remaining
3 3 $8.50 5 $25.50
$40.00 2 $25.50 5 $14.50
3 bottles of water
3 3 $2.50 5 $7.50
$14.50 2 $7.50 5 $7.00
14 ounces of snack mix
14 3 $0.50 5 $7.00
$7.00 2 $7.00 5 $0.00
3 tickets to 3D movie
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2.Students may have multiplied some of the
prices when buying more than one of an item.
They may have added prices and compared
the sum to $40, or they may have subtracted
prices from $40 until they reached $0. (PS 4)
Unit 1 Interim Assessment
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