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Transcript
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Interact
math
Number &
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Based on the
www.mrsrojasteaches.blogspot.com
5th Grade Interactive Math Notebook – Fractions
5th
Thank you so much for purchasing my
Grade Interactive Math Notebook, based
on the Common Core Standards. I am so excited to be using the 4th grade version of
this product in my own classroom this year! Each of the pages in this Math Notebook
can be used to introduce and/or wrap-up each math standard. These pages will also
serve as an information guide for students to refer back to as they review these
standards throughout the year. There is a double-page spread for each concept or skill. The first page gives an
explanation of the concept or skill. It provides tips, procedures, definitions, examples,
and/or illustrations. The second page gives students the opportunity to demonstrate
their learning with a sample of practice exercises. To
o 
o 
o 
o 
o 
create an Interactive Math Notebook, your students will need the following… Spiral Notebook Scissors Glue Sticks Pencils Colored pens, pencils, and/or markers What’s Included… o  Student Notebook Covers o  Table of Contents (2 to 3 pages will be needed for each student) o  Masters and Sample Pages for the following math concepts/skills:
1.  Adding & Subtracting Fractions (5.NF.1)
2.  Adding & Subtracting Mixed Numbers (5.NF.1)
3.  Word Problems: Adding & Subtracting Fractions (5.NF.2)
4.  Relating Fractions to Division (5.NF.3)
5.  Word Problems: Relating Fractions to Division (5.NF.3)
6.  Multiplying Fractions (5.NF.4)
7.  Area & Fractions (5.NF.4)
8.  Understanding Multiplication of Fractions by Whole Numbers (5.NF.5)
9.  Word Problems: Multiplying Fractions (5.NF.6)
10.  Dividing with Fractions (5.NF.7)
11.  Word Problems: Dividing with Fractions (5.NF.7)
Coming Soon: 5th Grade Interactive Math Notebook pages for: “Measurement & Data” and “Geometry”. If you have any questions or comments, please feel free to email me at
[email protected]. EnjoyJ Name: ________________ Name: ________________ My Math
Notebook
My Math
Notebook
Table of Contents
Standard:
Title:
Pages:
Adding & Subtracting Fractions (5.NF.1)
5.NF.1 Adding and
Subtracting Fractions
I can add and subtract fractions with unlike denominators. Steps for Adding &
Subtracting Fractions
1
Do the fractions have like
or unlike denominators?
2
If the fractions have unlike
denominators, find a
common denominator.
3
4
DHQF
STQN
+ -­‐
Unlike
Unlike
+ -­‐
N
1P F
17
12
Find the sum or difference.
Find simplest form or
convert to a mixed number.
Do the
fractions have
like or unlike
denominators?
HC
Mu
SC
HO
Find a common
denominator.
+ +
+ +
-­‐ -­‐
-­‐ -­‐
Find the
sum or
difference.
Simplest
form or
mixed
number.
Adding & Subtracting Mixed Numbers (5.NF.1)
5.NF.1 Adding and Subtracting
Mixed Numbers
I can add
and subtract mixed numbers. Adding Mixed
Numbers
4H 4T
+ 2D + 2S
1 Find a common
denominator for
the fractions
Then add.
17 = 12 + 5 12 12 12 2 If necessary,
decompose the
improper fraction
and carry the
whole number.
1 4T
+ 2S
7
5 12 3 Add the whole
numbers.
Subtracting Mixed Numbers
5D 5S 4
- 2H - 2T - 2T
2
20 12 1 Find a common
denominator for
the fractions.
2 If necessary,
borrow from the
whole number, then
subtract.
1 1 12 3 Subtract the
whole numbers.
3D 2F 5A 4L
+ 2A + 2J - 3K - 2A
Word Problems: Adding & Subtracting
Fractions (5.NF.2)
5.NF.2 Word Problems: Adding
& Subtracting Fractions
I can solve word problems involving addition and subtraction of fractions
referring to the same whole, including cases of unlike denominators. K
At a party, Andy and April shared a cherry pie. Andy ate of
the pie and April ate of the pie. What fraction of the pie did
they eat altogether?
C
Equation: __________________
Solution: _______________________
When Leslie arrived at the party a whole pumpkin pie was left.
If Leslie ate of the pie, then how much was left?
K
Equation: __________________
Solution: _______________________
d
Donna has read
of the books in
her library. If she reads another
of the books this summer, what
fractions of her books will she
have read by the end of the
summer?
Tom wrote in a journal over the
summer. If he wrote in of the
pages, what fraction of pages
were still blank at the end of the
summer?
Ron brought cupcakes to school to
share with his classmates. By the
end of the day
of the cupcakes
were gone. What fractions of the
cupcakes did Ron have to take
home?
Before recess Jerry put together
of his puzzle. After recess he
put together another of the
puzzle. How much of the puzzle
has he completed?
f
F
L
K
C
Relating Fractions to Division (5.NF.3)
5.NF.3 Relating Fractions
to Division
I can interpret
a fraction as division of the numerator
by the denominator.
Fractions can be interpreted as the division
of a numerator by a denominator...
5 3 Diviso
r
7 3 1 35
- 3 2 1D
Nume rator
6 5 8 3 5 2 7 2 Word Problems: Relating Fractions to Division
(5.NF.3)
5.NF.3 Word Problems: Relating
Fractions to Division
I can solve word problems involving division of whole numbers
leading to answers in the form of fractions.
In math class, Bryan solved 6 word problems in 5 minutes.
About how many problems can Bryan solve per minute?
Equation: _________
Solution: ______________________
In computer class, Melissa completed 8 levels of the game
Math Monsters in 5 minutes. About how many levels can
Melissa complete per minute?
Equation: _________
Solution: _____________________
Last week Kaitlin played soccer
for a total of 9 hours in 6 days.
If she played for the same
amount of time each day, how
long did she play for each day?
For the school’s Read-a-Thon,
Tim read 6 books in 4 days.
About how many books did he
read each day?
If Vicky, Kelly, and Lisa bought
five cookies to share, how much
did each of them get to eat?
In today’s game, Jason’s team
shot 12 baskets in 8 minutes.
About how many baskets did
they shoot per minute?
Multiplying Fractions (5.NF.4)
5.NF.4 Multiplying Fractions
c I can apply and extend
previous understanding of multiplication to
multiply a fraction or whole number by a fraction.
A x C = ? What fraction
of the figure is
shaded yellow
and blue?
_____
D x H = ? What fraction
of the figure is
shaded yellow
and blue?
_____
1. Multiply the numerator 2. Multiply the denominator
AC
x
DH
= x
=
= 3. Then, find simplest form or convert to a mixed number. FK
HK
LD
x
=
= x
=
= x
=
= CD
SC
HJ
x
= x
= x
= Area & Fractions (5.NF.4)
5.NF.4 Area & Fractions
I can find the area of a rectangle with fractional side lengths.
Formula for Area:
A = ___ x ___
M in.
H in.
2 in. Area =
___ x ___
Area =
Area =
___ x ___
___ sq. in. Area =
4 in. ___ sq. in. H in.
Area:
3 in. H in.
Area:
M in.
____ sq. in. A in.
____ sq. in. 2 in. Area:
1A in.
M in.
____ sq. in. Area:
____ sq. in. Area:
L in.
3A in.
____ sq. in. Understanding Multiplication of Fractions by
Whole Numbers (5.NF.5)
5.NF.5 Understanding Multiplication of
Fractions by Whole Numbers
I can interpret multiplication as the scaling or resizing of a number.
Find the product for each...
Find the product for each...
1
2 x 3 = _____ 1
3 x 4 = _____ 2 4 x 3 = _____ 4
2 x 3 = _____ 5
3 x 2 = _____ 3 4 x 2 = _____ What effect do the fractions have
on the whole numbers?
What effect do the improper fractions
have on the whole numbers?
What conclusions can you make?
What conclusions can you make?
Tell whether the whole number will increase or decrease.
5
2 x 4 ________________ 1
x 5 4 ________________ 5 3 x 3 ________________ 1
4 x 3 ________________ 1
2 x 5 ________________ 7 3 x 2 ________________ Word Problems: Multiplying Fractions (5.NF.6)
5.NF.6 Word Problems:
Multiplying Fractions
world problems involving multiplication of
I can solve real
fractions and mixed numbers.
Zoey’s mom made a dozen pancakes on Saturday morning.
Zoey ate of the pancakes. How many pancakes did Zoey
eat?
F
Equation: ____________
Solution: ______________________
A
When Justin came down for breakfast, there was
a box of
cereal left. He ate
of what was left. How much cereal did
Justin have for breakfast?
A
Equation: ____________
Solution: ________________________
Mrs. Landry has 30 students in
her class. She only has enough
computers in her class for
of
her students to use. How many
students can work on the
computers at one time?
C
Sophia made a dozen muffins over
the weekend. She brought
of
the muffins to give to her teacher.
How many muffins did Sophia give
to her teacher?
D
When Roger got to the party there
were
pies left. He ate of
what was left. How much pie did
Roger eat?
2A
H
J
of the students in Mr. Mack’s
class are buying lunch. of those
students ordered a sandwich.
What fraction of students in Mr.
Mack’s class are having
sandwiches for lunch?
D
Dividing with Fractions (5.NF.7)
5.NF.7 Dividing with Fractions
I can divide fractions by whole numbers
and whole numbers by fractions.
Dividing Fractions by Whole Numbers
1
Keep the
fraction
the same.
2
Change
the
÷ to a x
3
Find the
Change
reciprocal
the whole
of the
number to
second
a fraction.
fraction.
Find the
product.
Find
simplest
form.
2
1
S
5
D × D× A = P = C D ÷ 2 D ×
÷3=
4
H
÷2=
Dividing Whole Numbers by Fractions
1
Change the
whole
number to a
fraction.
2
3
4
Change the
÷ to a x
Find the
reciprocal of
the second
fraction.
Find the
product.
22 ÷ A 2 × A 21 × 21 4 = 4 1 1 1 ÷ A H
J
3 ÷ = 5 ÷ = Word Problems: Dividing with Fractions (5.NF.7)
5.NF.7 Word Problems:
Dividing with Fractions
and create real world problems involving
I can solve
division of fractions and whole numbers.
Bailey has 2 hours of reading to
complete over the weekend. She
wants to break up her reading time
into
hour blocks. How many times
will she read this weekend?
Laura and Leah want to equally
share
of a piece of cake. How
much cake will they each get to
eat?
H
Isaac has 6 pages of homework to
complete this week. If he completes
of a page at a time, how many
times throughout the week will he
work on his homework?
A
3 friends want to equally share
of a bag of potato chips. What
fraction of the bag will will each
friend get to eat?
A
C
3÷
A=?
H ÷ 2 = ?
Create your own word problem to match
each division problem. Then solve.
5÷
J=?
L ÷ 3 = ?
Thank you so much for purchasing this product.
If you have any questions or comments,
please feel free to email me!
[email protected]
Copyright © Rebecca Rojas 2013
All rights reserved by the author.
Permission to copy for classroom use only.
Credits for Graphics & Fonts: