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```4th Grade Summer Math Packet
Summer Math Packet Directions
1. Complete each problem from the calendar in the same numbered space on the answer sheet.
If you need more space attach paper with the month and number problem identified.
2. Make sure you show all work required to complete each problem.
3. Do not use a calculator for any of the problems.
4. Return the completed packet on the first day of September 2014.
Websites for the summer.
www.IXL.com
Name _______________________________________________Common Core Math Grade 4 Summer Calendar – JULY
Monday
Tuesday
1) Find all the factor pairs of 48
Wednesday
2) Solve;
Thursday
3) Solve:
Friday
4) Name the type of angle below.
5) Draw all the lines of symmetry.
A
a) 3 feet = ______ inches
b) ______ inches = 7 feet
c) ______ yards = 28 feet
2
4x
=
3
B
C
4.OA.4
6) Find the product and show your
work using the standard algorithm.
4.NF.4
7) Look at the two numbers
below.
4.MD.1
8) Draw an area model for;
4.MD.5
9) Draw a model to show that
28 x 94
3 5
x
a) 3,754
6 7
4.NBT.5
11) Decompose the fraction
7
9
The 4 in number “a” is ______________
times greater than the 4 in
number “ b”?
Then find the product.
4.NBT.1
12) Solve:
4.NBT.5
13) Create a number line and place
these fractions least to greatest.
5
7
2 different ways.
4
7
+
3
8
4.NF.3
16) Write an equivalent decimal
for each fraction below.
9
= ________________
10
7
= ________________
100
2
6
=
4
8
b) 8,401
3
4
1
2
4.NF.2
14) Create a model to compare
these two fractions. Explain which
is larger and why.
5
8
4.NF.2
4.NF.2
17) Place .03 and .05 on the
number line.
18) Complete the table.
19) Carl had 275 marbles to put
into 5 boxes. How many marbles
will he put into each box?
.
0
.
.
.
.
.
.
4.NF.2
15) Make an equivalent fraction
with a denominator of 100.
2
2
and
3
6
4.NF.3
feet
1
2
4.G.3
10) If a trapezoid is a whole, what
fraction of the whole is a triangle?
7
10
4.NF.5
20) Find the area and perimeter of
the polygon below.
35 ft
inches
12
17 ft
36
48
.06
45
= ________________
100
4.NF.6
17 ft
35 ft
4.NF.6
4.MD.2*
4.MD.1
Items with a * are those directly related to the “Fluencies” for 4
th
4.MD.3*
Name ____________________________________________Common Core Math Grade 4 Summer Calendar – AUGUST
Monday
1) Use <, >, = to make the number
sentence correct.
Tuesday
2) Round each number to the
ten thousands place.
2000+20+3 ______ 2000+200+3
4.NBT.2*
6) What are the next 4 numbers in
the sequence? What is the rule?
What do you notice about the
pattern?
a) 321,795
b) 1,267,401
c) 69,573
4.NBT.3
7) Write an equation using “t” to
represent the unknown.
Then solve the problem.
42, 47, 52, ______, ______, ______,
______
Carl had 356 baseball cards. After
his cousin game him a box of cards,
he had 402. How many cards did
he get from his cousin?
4.OA.5*
4.OA.3*
11) Draw and label the following:
12) Write a equation to define this
statement.
Wednesday
3) Find the sum for each problem.
a)
b)
c)
d)
394 + 481
2,905 – 876
3,700 + 7,641
8,015 – 3,679
4.NBT.4*
8) Create a line plot with the
following data.
1 1 1 1 3 5 5 1 3
,
,
,
,
,
,
,
,
4 8 2 4 8 8 8 4 4
4.NF.1
9) Use <, >, or = to make the
number sentence correct. Then
* Which fraction represents the
mode?
* What is the difference between
the largest and smallest fraction?
.7 ________ .07
4.MD.4
13) What properties do the figures
below have in common?
a) AB
72 is 8 times more than 9
b) CD
c) Parallel lines RS and LM
d) Perpendicular lines PT and KV
4.G.1
16) Create an area model to find
the quotient of ;
4.OA.1
4.G.2
17) Which figures have line
symmetry?
18) List the common properties of
the polygons below.
a)
Thursday
4) Find an equivalent fraction for
2
and use a model to show the
3
two fractions are equivalent.
4.NF.7
4.MD.5
14) Carol measured the angle of
the sun to the side of her house at
8:00 am and found the angle to be
27. She measured the angle again
at 12:00 noon and found the angle
to be 56. What is the degree of
difference from 8:00 am to 12:00
noon? How much more will the sun
need to move to get to 120?
15) Identify each number as Prime
or Composite;
4.MD.7*
19) Find the quotient using the
standard algorithm.
4.OA.4
4.NBT.6
850 ÷ 5
4.G.3
a)
b)
c)
d)
49
31
67
48
20) Draw and label each of the
following and explain how you
b)
448 ÷ 8
c)
Friday
5) Write an equation using “n” to
represent the unknown.
Do not solve.
The Environmental Club planted
245 trees in May. This was seven
times as many trees as they planted
in April. What did they plant in
April? Let “n” equal the trees
planted in April.
4.OA.3*
10) Show a 30 angle on the clock.
d)
4.G.2
Items with a * are those directly related to the “Fluencies” for 4
4.OA.2
th
a) acute angle
b) right angle
c) obtuse angle
4.G.1
These are the skills your child must be fluent in to be able to have success in the upcoming grade.
Fluencies;
1) All 4th graders must be able to fluently add and subtract multi-digit whole numbers using the standard algorithm.
*What this means is that every student must be able to add and subtract numbers that have more than 1 digit
using the standard form of addition and subtraction. No support items like fingers, number line,
calculator, or any other type of support. Only use a pencil and paper.
Example:
298
+ 43
1,354
+2,698
3,509
-1,685
217
- 59
2) All 4th graders must be able to solve multi-step word problems posed with whole numbers and having whole number answers using
the four operations.
*What this means is that students must be able to use any combination of the four mathematical operations
(addition, subtraction, multiplication, or division) to solve word problems that require more than one
operation to find a solution.
Example: Jason went shopping and bought an iPod for \$25.50, a pair of earphones for \$13.75, and
an iTunes card for \$30.00. When he got home he had \$10.45 left. How much did he
have when he first went shopping?
Items with a * are those directly related to the “Fluencies” for 4th Grade.
4th Grade students must practice problems with these “Fluencies” to become more proficient.
Tutorial of some skills:
1. Area model with multiplication;
23 x 45
20
30
3
30 x 20
30 x 3
600
4
2. Area model with division:
600
90
80
+ 12
782
90
4 x 20
4x3
80
12
So,
23 x 45 = 782
245 ÷ 5
5
20
20
+ 9
49
20
20 x 5=100
100
20
20 x 5=100
100
9
9 x 5=45
So, 245 ÷ 5 = 49
+ 45
245
3) Decompose fractions:
To decompose fractions means to take them apart and show them in a different way.
Example:
5
7
=
1 1 1 1 1
+ + + +
7 7 7 7 7
OR
+
1 4
+
7 7
OR
Name ___________________________________________ Common Core Math Grade 4 Summer Calendar-Answer Sheet – JULY
Monday
Tuesday
Wednesday
Thursday
Friday
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
Name ___________________________________________ Common Core Math Grade 4 Summer Calendar-Answer Sheet – AUGUST
Monday
Tuesday
Wednesday
Thursday
Friday
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
```
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