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4th Grade Math
Kami Espinoza
Rogers Creek School
Week of April 20th-24th
On the following pages, you will find this week’s assignment. It should look familiar. It is a practice on
fractions using Math Sorts which we have done before. You do not have to cut and paste, unless you
want to. You can just label the boxes with the corresponding answer. Remember, this is optional
review of material you have already learned! If you see something you do not recognize, skip it and
come back. There are 6 pages. One for each day and an extra. 😊 Shoot me an email or text. This can
be printed or viewed from a device with internet. Parents, I have included answer keys for you to
check the material and this week, you will find fraction help posters included.
Contact me if you need help! I am available Monday through Friday from 8:30-12:30.
Email: [email protected]
Text: 423-333-5425 (I don’t have good cell signal at home, but texts work)
FB Messenger: Kami Hayes Espinoza
Remind App: Class code: @rc4thgrade or
Remind Texts: text the class code @rc4thgrade to 81010
Assignment:
Day 1: Multiplying Fractions & Comparing Equivalency (4.NF.1 #4)
Day 2: Comparing Unlike Fractions (4.NF.2 #1)
Day 3: Adding and Subtracting Mixed Numbers with regrouping
(2 pages- 4.NF.3 #3 & 4.NF.3 #4)
Day 4: Multiplying Fractions by Whole Numbers (4.NF.4 #2)
Day 5: Adding tenths & hundredths (4.NF.5 #4)
Name: _____________________________________ 4.NF.1
#4No Prep - Math Sorts!
Directions: Cut, Sort, and Glue!
www.
mat
htec
hcon
nect
ions
.com
Directions: Organize the cards below into two categories.
Part 1: Find the Product.
D Ix = DPart 2: Compare the 2/3 to the product.
M Ax = MPart 2: Compare the 4/5 to the product.
A Sx = APart 2: Compare the 1/2 to the product.
D Gx = DPart 2: Compare the 2/3 to the product.
H Ex = HPart 2: Compare the 3/4 to the product.
M Bx = MPart 2: Compare the 4/5 to the product.
H Cx = HPart 2: Compare the 3/4 to the product.
A Tx = APart 2: Compare the 1/2 to the product.
Category #1 Category #2
Part 1: Find the Product.
Part 1: Find the Product. Part 1: Find the Product.
Part 1: Find the Product. Part 1: Find the Product.
Part 1: Find the Product. Part 1: Find the Product.
A B
C D
E F
G H
Name: _____________________________________ 4.NF.2
#1No Prep - Math Sorts!
Directions: Cut, Sort, and Glue!
www.
mat
htec
hcon
nect
ions
.com
Directions: Organize the cards below into three categories.
Compare the fractions. Compare the fractions. Compare the fractions.
Compare the fractions. Compare the fractions. Compare the fractions.
Compare the fractions. Compare the fractions. Compare the fractions.
Compare the fractions. Compare the fractions. Compare the fractions.
R d F c F w
Q h Q D Q Q
D o Q f S D
R e H T G v
Category # 1 Category # 2 Category # 3
A B C
D E F
G H I
J K L
Name: _____________________________________ 4.NF.3
#3No Prep - Math Sorts!
Directions: Cut, Sort, and Glue!
www.
mat
htec
hcon
nect
ions
.com
Directions: Organize the cards below into three categories.
J =-4
L =M-4
85
M =-4 75
M =+1 351
J =+1 1K
=+1K105
=+1M 105
=+1K 65
J =+2 85
Category # 1 Category # 2 Category # 3
A B C
D E F
G H I
Name: _____________________________________ 4.NF.3
#4No Prep - Math Sorts!
Directions: Cut, Sort, and Glue!
www.
mat
htec
hcon
nect
ions
.com
Directions: Organize the cards below into three categories.
G+ =I+
H H+ =H+H+ =+
54
54
54
Ezra bought 5 feet of string.
He used feet of string on a project. How much string
does he have left?
1 14
Ezra bought 3 ft. of string.
He used feet of string on a project. How much string
does he have left?
34
24
Ezra bought 4 ft. of string.
He used feet of string on a project. How much string
does he have left?
44
14
Amy ran 1 miles on Saturday
and 1 miles on Sunday. How many miles did Amy run in 2 days?
24
14
Amy ran 1 miles on Saturday and miles on Sunday. How many miles did Amy run in 2 days?
64
34
Amy ran 1 miles on Saturday and miles on Sunday. How many miles did Amy run in 2 days?
34
24
Category # 1 Category # 2 Category # 3
A B C
D E F
G H I
Name: _____________________________________ No Prep - Math Sorts!
Directions: Cut, Sort, and Glue!
www.
mat
htec
hcon
nect
ions
.com
Directions: Organize the cards below into three categories.
4.NF.4
#2
=x15 18
=x20 18
=x12 18=x4 5
8
=x4 38
=x3 58
+ =58
58 + 5
8 + 58
+ =38
38 + 3
8 + 38
=58 + 5
8 + 58
Category # 1 Category # 2 Category # 3
A B C
D E F
G H I
J K L
Name: _____________________________________ No Prep - Math Sorts!
Directions: Cut, Sort, and Glue!
www.
mat
htec
hcon
nect
ions
.com
Category #1 Category #2Directions: Organize the cards below into two categories.
4.NF.5
#4
=+ 710
Is the following equation
TRUE or FALSE?
10023
10093
=+ 510
Is the following equation
TRUE or FALSE?
10040
10045 =+ 3
10
Is the following equation
TRUE or FALSE?
1006
10063
=+ 310
Is the following equation
TRUE or FALSE?
100805
10
=+ 210
Is the following equation
TRUE or FALSE?
610
810
=+ 310
Is the following equation
TRUE or FALSE?
10074
10
=
Is the following equation
TRUE or FALSE?
1002
100705
10+
=
Is the following equation
TRUE or FALSE?
10022
100297
10+
=
Is the following equation
TRUE or FALSE?
1003
100434
10+ =
Is the following equation
TRUE or FALSE?
10015
100756
10+
=+ 210
Is the following equation
TRUE or FALSE?
1008
10028
=+ 210
Is the following equation
TRUE or FALSE?
10030
10032
A B C D
E F G H
I J K L
The numerator is smaller than the denominator23
The denominator is bigger than the numerator. This means the fract ion is greater than 1 whole.
43
Mixed fract ions have a whole number and a fract ion attached. The numerator and denominator.
2$%
(PART)
(WHOLE)
What the whole is cut into
How many pieces
fract ion
whole
The numerator is smaller than the denominator23
The denominator is bigger than the numerator. This means the fract ion is greater than 1 whole.
43
Mixed fract ions have a whole number and a fract ion attached. The numerator and denominator.
2$%
(PART)
(WHOLE)
What the whole is cut into
How many pieces
fract ion
whole
Equivalent Fractions
Frac t i o ns t ha t have t he same va l ue
1 22 4
To f ind equ iva l en t f rac t i ons you can mul t i p l y or d iv i de
412
26
13
13 x x2
244= =
2436
44
23
1824
66
34= =÷ ÷
**Rem i n der**Wha t ever y ou d o t o t h e numera t or , y o u d o t o t h e d en om i n a t or w i t h t h e s am e number .
If y o u d i v i d e t h e t o p , y o u d i v i d e t h e b o t t omIf y ou mu l t i p l y t h e t o p , y o u mu l t i p l y t h e b o t t om
Equivalent Fractions
Frac t i o ns t ha t have t he same va l ue
1 22 4
To f ind equ iva l en t f rac t i ons you can mul t i p l y or d iv i de
412
26
13
13 x x2
244= =
2436
44
23
1824
66
34= =÷ ÷
**Rem i n der**Wha t ever y ou d o t o t h e numera t or , y o u d o t o t h e d en om i n a t or w i t h t h e s am e number .
If y o u d i v i d e t h e t o p , y o u d i v i d e t h e b o t t omIf y ou mu l t i p l y t h e t o p , y o u mu l t i p l y t h e b o t t om
Comparing Fractions
If t he two f rac t i ons have t he same numerator , l ook a t t he denom ina tors . The SMALLER the denom ina tors , t he
l arger t he p ieces .
If t he two f rac t i ons have t he same denom ina tor , l ook a t t he denom ina tors . The LARGER the denom ina tors , t he
l arger t he p ieces .
45
48
45
25
>
>
Comparing Fractions
If t he two f rac t i ons have t he same numerator , l ook a t t he denom ina tors . The SMALLER the denom ina tors , t he
l arger t he p ieces .
If t he two f rac t i ons have t he same denom ina tor , l ook a t t he denom ina tors . The LARGER the denom ina tors , t he
l arger t he p ieces .
45
48
45
25
>
>
FRACTION BUTTERFLY
1624
924
23
38x= =
16 9
24Step 1 : cross mul t i p l y 2 x 8 = 1 6 and 3 x 3 = 9
Step 2 : make sure your answers become your new numerators .
Step 3 : k eep your denom ina tor t he same .
Step 4 : c ompare your numerators to determ ine wh i c h f rac t i o n i s grea ter or l ess t han .
FRACTION BUTTERFLY
1624
924
23
38x= =
16 9
24Step 1 : cross mul t i p l y 2 x 8 = 1 6 and 3 x 3 = 9
Step 2 : make sure your answers become your new numerators .
Step 3 : k eep your denom ina tor t he same .
Step 4 : c ompare your numerators to determ ine wh i c h f rac t i o n i s grea ter or l ess t han .
Adding Fractions with Unlike Denominators
2 134
Step 1 : Not i ce the denominatorsare un l ike
+ =
Step 2 : F ind the Least Common Mul t ip l e
Step 4 : S imp l ifyStep 3 : Mul t i p l y , Rewr i te , & So l ve
4 4,8,12,16,20
33,6,9,12B y l i s t i n g a l l t h e m u l t i p l e s o f e a c h
n um b er , 1 2 i s t h e l e a s t c om m o n n um b er
( y o ur n ew d e n om i n a t o r )
2413
+x
x
3 6=
44 =
3 124121012
1012
10
12
1,2,5,10
1,2,5 4,6,12
÷ 22
= 56
Adding Fractions with Unlike Denominators
2 134
Step 1 : Not i ce the denominatorsare un l ike
+ =
Step 2 : F ind the Least Common Mul t ip l e
Step 4 : S imp l ifyStep 3 : Mul t i p l y , Rewr i te , & So l ve
4 4,8,12,16,20
33,6,9,12B y l i s t i n g a l l t h e m u l t i p l e s o f e a c h
n um b er , 1 2 i s t h e l e a s t c om m o n n um b er
( y o ur n ew d e n om i n a t o r )
2413
+x
x
3 6=
44 =
3 124121012
1012
10
12
1,2,5,10
1,2,5 4,6,12
÷ 22
= 56
Subtracting Fractions with Unlike Denominators
4 136
Step 1 : Not i ce the denominatorsare un l ike
- =
Step 2 : F ind the Least Common Mul t ip l e
Step 4 : S imp l ifyStep 3 : Mul t i p l y , Rewr i te , & So l ve
66,12,18,24
33,6,9,12B y l i s t i n g a l l t h e m u l t i p l e s o f e a c h
n um b er , 6 i s t h e l e a s t c om m o n n um b er
( y o ur n ew d e n om i n a t o r )
4613
+x
x
1 4=
22 =
1 62626
26
2
6
1,2
1,2,3,6
÷ 22
= 13
Subtracting Fractions with Unlike Denominators
4 136
Step 1 : Not i ce the denominatorsare un l ike
- =
Step 2 : F ind the Least Common Mul t ip l e
Step 4 : S imp l ifyStep 3 : Mul t i p l y , Rewr i te , & So l ve
66,12,18,24
33,6,9,12B y l i s t i n g a l l t h e m u l t i p l e s o f e a c h
n um b er , 6 i s t h e l e a s t c om m o n n um b er
( y o ur n ew d e n om i n a t o r )
4613
+x
x
1 4=
22 =
1 62626
26
2
6
1,2
1,2,3,6
÷ 22
= 13
Subtract ing Fract ions with Regrouping
424
44
54243
41
1+
- -
3 = S tep 1 : Not i ce the bo ttomNUMERATOR i s l a rge r. Bo r row f rom the top WHOLE number.
4S tep 2 : When you bo r row f rom the WHOLE number, u se t he DENOMINATORto te l l you what you r f ra c t i on i s c u t i n to . Add a who le number a s a f ra c t i on to you r top f ra c t i on .
S tep 3 : Now add t he numera to rs on t he top a c ro s s . 1 + 4 = 5 . NOW you r numera to r on t he top i s LARGER t han you r numera to r on t he BOTTOM .
S t ep 4 : S ub t ra c t you r f ra c t i on s f rom top to bo t tom . NUMERATORS , WHOLE NUMBERS , KEEP THE DENOMINATOR THE SAME ! !
12
Subtract ing Fract ions with Regrouping
424
44
54243
41
1+
- -
3 = S tep 1 : Not i ce the bo ttomNUMERATOR i s l a rge r. Bo r row f rom the top WHOLE number.
4S tep 2 : When you bo r row f rom the WHOLE number, u se t he DENOMINATORto te l l you what you r f ra c t i on i s c u t i n to . Add a who le number a s a f ra c t i on to you r top f ra c t i on .
S tep 3 : Now add t he numera to rs on t he top a c ro s s . 1 + 4 = 5 . NOW you r numera to r on t he top i s LARGER t han you r numera to r on t he BOTTOM .
S t ep 4 : S ub t ra c t you r f ra c t i on s f rom top to bo t tom . NUMERATORS , WHOLE NUMBERS , KEEP THE DENOMINATOR THE SAME ! !
12
Mult iplying Fract ions
Fraction by Fraction
Mu l t i p l y nu me r a t or s
25
34
620x =
Write the product
Write the product
Fractions by Whole Number
Mixed Numbers
14
x2 1
42
x = =1
1224s i m p l i f i e d
121 x 12 5
St ep 1 : Co nvert m i xed
numbers t o impro per f ra c t i o ns .
=12
x 115
Step 2 : Mul t i p ly
t he f ract i ons .
Step 3 : Conver t improper back to m ixed
=3310 3= 3
10
Mult iplying Fract ions
Fraction by Fraction
Mu l t i p l y nu me r a t or s
25
34
620x =
Write the product
Write the product
Fractions by Whole Number
Mixed Numbers
14
x2 1
42
x = =1
1224s i m p l i f i e d
121 x 12 5
St ep 1 : Co nvert m i xed
numbers t o impro per f ra c t i o ns .
=12
x 115
Step 2 : Mul t i p ly
t he f ract i ons .
Step 3 : Conver t improper back to m ixed
=3310 3= 3
10
Convert ing Improper Fract ions to Mixed Numbers113
Improper f ra c t i o ns have a l arger numera tor . So you need t o d i v i d e .
3 113
- 92
New Who l e number
Rema i n d er b e c omes y our n ew numera t or
Keep as your denominator
NewAnswer
3 32
Convert ing Mixed Numbers to Fract ions
3 29x
+1 . Mul t ip l e 9 x 3 = 272. Add 27 + 2 = 293 . 29 i s now numerator , keep 9 as denom ina tor
299
Convert ing Improper Fract ions to Mixed Numbers113
Improper f ra c t i o ns have a l arger numera tor . So you need t o d i v i d e .
3 113
- 92
New Who l e number
Rema i n d er b e c omes y our n ew numera t or
Keep as your denominator
NewAnswer
3 32
Convert ing Mixed Numbers to Fract ions
3 29x
+1 . Mul t ip l e 9 x 3 = 272. Add 27 + 2 = 293 . 29 i s now numerator , keep 9 as denom ina tor
299
Decimals & FractionsA dec ima l i s a number t ha t uses
p l a ce va lue , and a dec ima l p o in t to
show part of a who l e .
One whole
One-tenth
One-hundredths
1 10 100
1
10
1
10 1001
=100
0 .0 1
= 0. 11 p i e ce
ou t o f 1 0
1 p i e ce
ou t o f 1 0 0
Decimals & FractionsA dec ima l i s a number t ha t uses
p l a ce va lue , and a dec ima l p o in t to
show part of a who l e .
One whole
One-tenth
One-hundredths
1 10 100
1
10
1
10 1001
=100
0 .0 1
= 0. 11 p i e ce
ou t o f 1 0
1 p i e ce
ou t o f 1 0 0