4th Grade Mathematics
2014 Spring Break Packet
ORANGE PUBLIC SCHOOLS
OFFICE OF CURRICULUM AND INSTRUCTION
OFFICE OF MATHEMATICS
ORANGE TOWNSHIP PUBLIC SCHOOLS
ADMINISTRATION BUILDING
451 Lincoln Avenue Orange, New Jersey 07050
Tel: (973) 677-4000 ext.6110
Fax: (973) 677-2509
Website: http://www.orange.k12.nj.us
Ronald C. Lee
Superintendent of Schools
Dr. Paula Howard
Deputy Superintendent
April 2014
Dear Parents/Guardians:
The Orange Public Schools provides this spring recess mathematics packet to help your child
retain his/her learning and strengthen his/her understanding of mathematics over the break from
classes. The task(s) within should provide a different view of the ways mathematics can be used
to make sense of quantities. Your child will be completing problems and tasks in the content
domains identified by the state of New Jersey as essential mathematics skills and concepts
required for his/her particular grade.
Completion of this packet should require about three hours of your child’s time. If you would
like to assist or discuss any part of the packet with your child, your participation is welcome.
These tasks depend more on logical reasoning and basic understanding of mathematics than on
knowledge of complex formulas or specialized vocabulary.
The problems and tasks will be graded and discussed in your child’s math class when he/she
returns to school. Please remind your child that he/she will be expected to provide reasons and
explanations for the answers, and may be asked to present solution(s) to the class.
Thank you for your assistance in assuring that your child completes this spring recess packet
thoroughly and thoughtfully.
Enjoy the Spring Break!
Sincerely,
The Orange Public Schools’ Mathematics Team
The Orange Public Schools’ Mathematics Team
DAY ONE
1. How does the product of 60 × 225 compare to the product of 30 × 225?
2. Helen raised $12 for the food bank last year and she raised 6 times as much
money this year. How much money did she raise this year?
3. A 4th grade teacher bought 4 new pencil boxes. She has 260
pencils. She wants to put the pencils in the boxes so that each
box has the same number of pencils. How many pencils will there be in each
box?
3
4. Amelia is wrapping a present for a friend. She needs 8 8 inches of ribbon to wrap
1
the gift. She has two spools of ribbon. One has 3 8 inches of ribbon and the other
3
has 5 8 inches. Does she have enough ribbon?
3
5. If each person at a party eats 8 of a pound of roast beef, and there are 5 people
at the party, how many pounds of roast beef are needed?
DAY TWO
1
1. Mike has 4 pounds of ground beef. He makes 4 pound hamburger patties out of
the beef. How many patties did he make?
2. Susan has 2 feet of ribbon. She wants to give her ribbon to her 3 best friends so
each friend gets the same amount. How much ribbon will each friend get?
3. Ryan ran for an hour and 15 minutes on Monday, 25 minutes on Tuesday, and
one hour and 10 minutes on Wednesday. What was the total number of minutes
Ryan ran?
4. A pound of apples costs $1.20. Annalee bought two
and a half pounds of apples. If she gave the clerk a
$5.00 bill, how much change will she get back?
5. On a vacation, your family travels 267 miles on the first day, 194 miles on the
second day and 34 miles on the third day. How many miles did they travel total?
DAY THREE
1. Your class is collecting bottled water for a service project. The goal is to collect
300 bottles of water. On the first day, Max brings in 3 packs with 6 bottles in
each container. Sarah wheels in 6 packs with 6 bottles in each container. About
how many bottles of water still need to be collected?
2. There are 128 students going on a field trip. If each bus held 30 students, how
many buses are needed?
3. There are 4 beans in the jar. Each day 3 beans are added. How many beans are in
the jar for each of the first 5 days?
4. How is the 2 in the number 582 similar to and different from the 2 in the number
528?
3
2
5. Mary and Lacey decide to share a pizza. Mary ate 6 and Lacey ate 6 of the pizza.
How much of the pizza did the girls eat together?
DAY FOUR
1. At 7:00 a.m. Melisa wakes up to go to school. It takes her 8 minutes to shower, 9
minutes to get dressed and 17 minutes to eat breakfast. How many minutes
does she have until the bus comes at 8:00 a.m.? Use the number line to help
solve the problem.
2. Draw a picture that shows why 14/6 = 7/3. Use a rectangle or a circle for the
unit whole.
3. Use the number line diagram to show why 14/6 = 7/3. Show the unit whole.
0
1
2
4. Write four fractions that all equal 7: _____, _____, _____, _____.
5. Write a fraction that equals 7 and has denominator 7: ______.
3
DAY FIVE
1
1
1. Write a number that is greater than and less than : ______. Hint: find
5
4
equivalent fractions for 1/5 and 1/4 with denominators 40 or 100.
2. Locate these numbers accurately on the number line:
2,
0
5/4,
3  1/2,
1
2
3/4  3/4,
3
2  1/10
4
3. The gas station is 3/4 mile from my house. The repair shop is four times farther
away. How far is the repair shop from my house?
4. Solve:
2 1/8 =
8/8
+ _____ + 1/8
3 1/4 
1/4
= _____
3 1/4 
2/4
= _____
3 1/4 
3/4
= _____
3 1/4 
7/4
= _____
3 1/4  1 3/4 = _____