Number & Operations- Fractions - Backstagejulieburgess.weebly.com/uploads/3/7/8/1/...math_notebook_-_nf.pdf · 5th Grade Interactive Math Notebook ... Understanding Multiplication

5th Grade

Interactive Notebook:  

math  

Number & Operations- Fractions

Based on the Common Core Standards

www.mrsro jasteaches .b logspot .com    

5th Grade Interactive Math Notebook – Fractions  

Thank you so much for purchasing my 5th 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 create an Interactive Math Notebook, your students will need the following…  o  Spiral Notebook  o  Scissors  o  Glue Sticks  o  Pencils  o  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      

My

Mat

h  N

oteb

ook  

Nam

e: _

__

__

__

__

__

__

__

_  

My

Mat

h  N

oteb

ook  

Nam

e: _

__

__

__

__

__

__

__

_  

Table of Contents Standard: Title: Pages:

Adding & Subtracting Fractions (5.NF.1)

Steps for Adding & Subtracting Fractions

1 Do the fractions have like or unlike denominators?

Unlike Unlike

2 If the fractions have unlike denominators, find a common denominator.

3 Find the sum or difference.

4 Find simplest form or convert to a mixed number.

Q F D    

 H

5.NF.1  

I can add and subtract fractions with unlike denominators.  

Adding and Subtracting Fractions

+  

-­‐  

Q N S

T +    

-­‐  

17  

12  

N  

F  

1P  

+  H

   C +  

Do the fractions have like or unlike

denominators? Find a common denominator.

Find the sum or

difference.

Simplest form or mixed

number.

+  M

   u +  

-­‐  S

   C -­‐  

-­‐  H

   O -­‐  

Adding & Subtracting Mixed Numbers (5.NF.1)

5.NF.1  

I can add and subtract mixed numbers.  

Adding and Subtracting Mixed Numbers

1  

4H + 2D

4T + 2S

17  12  

12  12  

5  

12  

4T + 2S

= +   5  

12  7  

Adding Mixed Numbers

Find a common

denominator for the fractions

Then add.

If necessary, decompose the

improper fraction and carry the whole number.

Add the whole

numbers.

1  

2  3  

5D - 2H

5S - 2T

20  

12  

1 1  12  

Subtracting Mixed Numbers

Find a common

denominator for the fractions.

If necessary,

borrow from the whole number, then

subtract.

Subtract the whole numbers.

1  2  

3  

4 - 2T 2  

3D + 2A

2F + 2J

5A - 3K

4L - 2A

Word Problems: Adding & Subtracting Fractions (5.NF.2)

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?

Equation: __________________ Solution: _______________________

K

When Leslie arrived at the party a whole pumpkin pie was left. If Leslie ate of the pie, then how much was left? Equation: __________________ Solution: _______________________

K

5.NF.2  

I can solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators.  

Word Problems: Adding & Subtracting Fractions    

C

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?

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?

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?

d F L

K C f

Relating Fractions to Division (5.NF.3)

3 5  

5.NF.3  

I can interpret a fraction as division of the numerator by the denominator.

Relating Fractions to Division

Fractions can be interpreted as the division of a numerator by a denominator...

Divisor

5   - 3  

1  

3  2   Numerator

1 D

3  7  

5  6  

8  3  

2  5  

2  7  

Word Problems: Relating Fractions to Division (5.NF.3)

5.NF.3  

I can solve word problems involving division of whole numbers leading to answers in the form of fractions.

Word Problems: Relating Fractions to Division

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?

In today’s game, Jason’s team shot 12 baskets in 8 minutes. About how many baskets did they shoot per minute?

If Vicky, Kelly, and Lisa bought five cookies to share, how much did each of them get to eat?

Multiplying Fractions (5.NF.4)

c  5.NF.4  

I can apply and extend previous understanding of multiplication to multiply a fraction or whole number by a fraction.

Multiplying Fractions    

x = ?  A C

What fraction of the figure is shaded yellow

and blue?

_____  

x = ?  D H

What fraction of the figure is shaded yellow

and blue?

_____  

x =  A C

1. Multiply the numerator 2. Multiply the denominator

3. Then, find simplest form or convert to a mixed number.  

x = =  D H

x = =  F K x =  C D

x =  H J

x =  S C

x = =  L D

x = =  H K

Area & Fractions (5.NF.4)

5.NF.4  I can find the area of a rectangle with fractional side lengths.

Area & Fractions    

Formula for Area:

A = ___ x ___

4 in.  

M in.

Area =

___ x ___

Area =

___ sq. in.  

2 in.  

H in.

Area =

___ x ___

Area =

___ sq. in.  

H in.

3 in.  

Area: ____ sq. in.  

A in.

2 in.  

Area: ____ sq. in.  

H in. Area: ____ sq. in.  M in.

1A in. Area:

____ sq. in.    

M in.

L in. Area:

____ sq. in.  3A in.

Understanding Multiplication of Fractions by Whole Numbers (5.NF.5)

5.NF.5  

I can interpret multiplication as the scaling or resizing of a number.

Understanding Multiplication of Fractions by Whole Numbers

Find the product for each...    

4  3  5  2  3  2  

2  

3  

4  

x            =  _____  

What effect do the improper fractions have on the whole numbers?

What conclusions can you make?    

x            =  _____  

x            =  _____  

Find the product for each...    

1  3   1  4  2  3  

2  

3  

4  

x            =  _____  

What effect do the fractions have on the whole numbers?

What conclusions can you make?    

x            =  _____  

x            =  _____  

Tell whether the whole number will increase or decrease.    

5  4   1  4  5  3  

2   x                              ________________  

1  3   1  5  7  2  

5  

3  

4  

2  

3  

x                              ________________  

x                              ________________  

x                              ________________  

x                              ________________  

x                              ________________  

Word Problems: Multiplying Fractions (5.NF.6)

5.NF.6  

I can solve real world problems involving multiplication of fractions and mixed numbers.

Word Problems: Multiplying Fractions

Zoey’s mom made a dozen pancakes on Saturday morning. Zoey ate of the pancakes. How many pancakes did Zoey eat? Equation: ____________

Solution: ______________________

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? Equation: ____________

Solution: ________________________

F

A

A

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?

When Roger got to the party there were pies left. He ate of what was left. How much pie did Roger eat?

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?

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

C

J 2A

H

D

Dividing with Fractions (5.NF.7)

5.NF.7  I can divide fractions by whole numbers

and whole numbers by fractions.

Dividing with Fractions    

Dividing Fractions by Whole Numbers

1 2 3 4 5 Keep the fraction

the same.

Change the

÷ to a x

Change the whole number to a fraction.

Find the reciprocal

of the second fraction.

Find the product.

Find simplest

form.

÷ 2   D   D  ×   D  ×   1   2   D A  × =   P C  =  

S ÷ 3 =   H

÷ 2 =  

Dividing Whole Numbers by Fractions

1 2 3 4 Change the

whole number to a

fraction.

Change the ÷ to a x

Find the reciprocal of the second fraction.

Find the product.

2 ÷ A   1   2  

3 ÷ =  H

÷ A   1   2  ×  A   1   2  

1   2  ×   1   4  = 4  

5 ÷ =  J

Word Problems: Dividing with Fractions (5.NF.7)

5.NF.7  

I can solve and create real world problems involving division of fractions and whole numbers.

Word Problems: Dividing with Fractions

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?

3 friends want to equally share of a bag of potato chips. What fraction of the bag will will each friend get to eat?

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

C

A

H

3 ÷ = ?

Create your own word problem to match each division problem. Then solve.

A ÷ 2 = ?

H

5 ÷ = ?

÷ 3 = ?

J L

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: