Grade 5 Core Standard I Assessment
Number and Operations & Data Analysis
Name:
Date:
5.1.1 Use fraction models to represent the addition and subtraction of fractions with unlike denominators.
1. Add the fraction to find the sum:
2 1
+ =
3 6
1
3
1
6
1
3
1
6
1
3
1
6
1
6
1
6
1
6
3
2
of an inch in January and of an inch in February. Use the model to help you
4
3
find the difference.
2. It rained
€
€
-
3. Find the difference:
1
10
1
€
10
1
5
=
9 1
- = ____________________
10 5
1
€10
1
10
1
5
1
10
1
10
1
5
1
10
1
10
1
5
1
10
1
10
1
5
Name ________________________________ Date: __________________
5.1.2 Use decimal models, place value, and number properties to add and subtract decimals (to the thousandths).
4. Show the sum as a drawing and a numeral.
____________________
____________________
__
_________________
___________________
___________________
5. Show the difference as drawing and a numeral.
___________________
$1
6. Solve
___________________
10¢
10¢
+
___________________
1¢
1¢
10¢
10¢
1¢
1¢
=
NCSD Math Renewal: Grade 5: Core Standard 1 Assessment revised
6/04/2013
Name ________________________________ Date: __________________
7. Fill in the chart
Decimal
Expanded Notation
One and four tenths
3.02
Five and sixty-seven thousandths
5.1.3 Select and use appropriate strategies to estimate fraction and decimal sums and differences.
8. Jen went to the store with a ten dollar bill. She bought two cans of soup for $.89 each and a
box of crackers for $3.49. What is the best estimate for the amount of change Jen will get
back?
A. $3.50
B. $4.50
C. $5.50
D. $6.50
9. Estimate by rounding to the nearest whole number.
5
25
7
+ 2 ≈ _______
100
8
10. If you needed to add these numbers together, which numbers would you add first and why?
1 3 5
1 + +
2 8 8
I would add ______________ + ______________ together first because….
NCSD Math Renewal: Grade 5: Core Standard 1 Assessment revised
6/04/2013
Name ________________________________ Date: __________________
5.1.4 Develop fluency with efficient procedures for adding and subtracting fractions and decimals and justify why the procedures work.
1
1
11. Name at least two common denominators for: 3 − 2 =.
6
4
_____________________
and _____________________
€
12. In the problem above, which common denominator would you use to solve the problem? Use
pictures and/or words to justify your thinking.
13. Solve and verify:
17
4
-
2
3
4
14. Lisa is subtracting 5.714 from 34.89. She writes down 34.89 but is unsure where to place the
second number. Fill in the problem and solve without a calculator.
34.89
-
NCSD Math Renewal: Grade 5: Core Standard 1 Assessment revised
6/04/2013
Name ________________________________ Date: __________________
5.1.5 Solve problems involving the addition and subtraction of fractions and decimals
15. A fifth-grade class completed a survey about favorite foods. Of the students in the class,
3
chose hamburgers, and 8 chose pizza. What fraction of the class chose either hamburgers
or pizza as the favorite food? Show how you know.
4
24
4
C. 11
B.
A.
€
3
11
D.
€
€
16. Tony bought art supplies that cost $19.31. He gave $20.00 to the cashier. What is the EXACT
amount of change that Tony received?
17. Look at the receipt and determine the price of the candy bar.
NCSD Math Renewal: Grade 5: Core Standard 1 Assessment revised
6/04/2013
Name ________________________________ Date: __________________
5.1.6 Use ordered pairs on coordinate graphs to specify locations and describe paths. (_____/6)
18. List the ordered pairs for the sun, heart, and square?
( __________, __________ )
( __________, __________ )
( __________, __________ )
19. Make a triangle by connecting the coordinates (3,2) and (5,4) and (1,4).
20. If you start at Jamie’s house, which of the following describes how to get to the
school?
A. right one, up one
B. right two, up one
C. right one, down one
D. right one, down two
School
Jaime’s
House
★
Zoo
★
★
★
Library
NCSD Math Renewal: Grade 5: Core Standard 1 Assessment revised
6/04/2013
Name ________________________________ Date: __________________
5.1.7 Construct and analyze double bar, line, and circle graphs to solve problems involving fractions and decimals.
21. Brady recorded the weight of his Great Dane puppy for 4 months. He enters his data on the
line graph below. According to
the graph, what was the Great
Dane’s weight, in pounds, at 4
months?
A. 50
B. 40
C. 30
D. 20
22. Quinn’s little sister, Amelia has a recipe that uses
make lemonade.
lemons for every quart of water to
Quinn’s lemonade recipe uses 2 lemons for every quart of water.
Complete the tables and chart your results as a double bar graph. Label the x-axis, “Quarts
of Lemonade” and the y-axis, “Number of Lemons”
Amelia’s Lemonade Recipe
Number of Lemons
1½
Quarts of Lemonade
1
2
3
4
2
3
4
Quinn’s Lemonade Recipe
Number of Lemons
Quarts of Lemonade
2
1
NCSD Math Renewal: Grade 5: Core Standard 1 Assessment revised
6/04/2013
Name ________________________________ Date: __________________
23. The table shows the Portland rainfall for a week in January.
• Plot all of the data on a line graph.
• What is the difference between the day with the most and the day with the least
amount of rain?
Portland Rainfall in inches for 1 Week in January
Su
M
Tu
W
Th
F
Sa
.75
.05
.50
0
0
.45
.2
Portland Rainfall in Inches for 1 Week in January
3.0
Rainfall in Inches
2.5
2.0
1.5
1.0
0.5
Sunday
Monday
Tuesday
Wednesday Thursday
Friday
Days of the Week
NCSD Math Renewal: Grade 5: Core Standard 1 Assessment revised
6/04/2013
Saturday
Name ________________________________ Date: __________________
24. Complete the table and the circle graph to show how much each person ate. Label the parts
on the circle graph.
Name
Fraction of
Pizza Eaten
Number of
pieces each
person ate
Sam
1
Ann
Max
Amy
25. The students in Ms. Martin’s class were keeping track of how many books they read. Use the
bar graph to complete the table. Record your answers in decimal form.
Number of Books Read
Name
Number of
Books Read
Bob
5
4
Sue
Joe
3
Jill
2
1
Bob
NCSD Math Renewal: Grade 5: Core Standard 1 Assessment revised
Sue
Joe
6/04/2013
Jill
Name ________________________________ Date: __________________
5.NF.6. Solve real world problems involving multiplication of fractions and mixed numbers, e.g. by using visual fraction models or equations to represent
the problem.
26. Evan bought 6 tulips for his mother. 2/3 of them were red. How many red tulips were there?
Use the model to help you solve the problem.
27. Add stripes to ¼ of the shaded part of the fraction bar.
How much of the bar is striped?
NCSD Math Renewal: Grade 5: Core Standard 1 Assessment revised
Equation ____________________
6/04/2013
Name ________________________________ Date: __________________
5.NF.7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
28. Six people equally shared ½ of a pan of brownies. What fraction of the whole pan of brownies
did each person eat? Explain your answer with drawings, pictures and words.
29. Angelo has 4 lbs of peanuts. He wants to give each of his friends 1/5 lb.
How many friends can receive 1/5 lb of peanuts?
30. Daisy has 4 cups of un-popped popcorn. She uses 1/8 cup to make one serving. How many
servings of popcorn can she make?
NCSD Math Renewal: Grade 5: Core Standard 1 Assessment revised
6/04/2013