4th Grade

Interactive Notebook:  

math  

   

Fractions Edition

Based on the Common Core Standards

www.mrsro jasteaches .b logspot .com    

4th Grade Interactive Math Notebook – Fractions     Thank you so much for purchasing my 4th Grade Interactive Math Notebook, based on the Common Core Standards. I am so excited to use this product in my own classroom this coming 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.  Equivalent Fractions (4.NF.1) 2.  Comparing Fractions (4.NF.2) 3.  Decomposing Fractions (4.NF.3) 4.  Adding & Subtracting Fractions (4.NF.3) 5.  Adding & Subtracting Mixed Numbers (4.NF.3) 6.  Word Problems: Adding & Subtracting Fractions (4.NF.3) 7.  Multiplying Fractions by Whole Numbers (4.NF.4) 8.  Word Problems: Multiplying Fractions by Whole Numbers (4.NF.4) 9.  Fractions: Denominators of 10 and 100 (4.NF.5) 10.  Relating Fractions and Decimals (4.NF.6) 11.  Comparing Decimals (4.NF.7)

Also check out my Interactive Notebook Pages for: “Number & Operations in Base Ten”, “Operations & Algebraic Thinking”, “Geometry”, and “Measurement & Data”.  

 

If you have any questions or comments, please feel free to email me at rjyoung23@gmail.com. EnjoyJ  

   

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Table of Contents Standard: Title: Pages:

Equivalent Fractions (4.NF.1)

4.NF.1  I can explain equivalent fractions by using visual fraction models, and recognize and generate equivalent fractions.  

Equivalent Fractions    

Equivalent Fractions:    

Use the model to list fractions equivalent to A: _______________

In the model below, fractions equivalent to A are shaded. Notice that although the fractions are different, they are the same size.

These are equivalent fractions.

Use the fraction bars to find Equivalent Fractions...

 

To find equivalent fractions, you can also multiply both the numerator and denominator by the same number...

J t D O × 2 =   × 3 =   × 4 =  

Comparing Fractions (4.NF.2)

4.NF.2  I can compare two fractions with different numerators and different denominators, by creating common numerators or

denominators or by comparing to a benchmark fraction.  

Comparing Fractions    

Compare

&

Strategies for Comparing Fractions:

Use a fraction model:

F

D

Compare the shaded models.

Compare to a benchmark like A:

Find common denominators:

To compare F and D , find common denominators by finding

equivalent fractions with the same denominator. Then compare.

F N

D S

Divide the bar into

equal fourths and

shade one bar.

Divide the bar into equal thirds and shade two bars.

A C D 0 1

F H

× 3 = × 3 =     S > N, so D > F

Less than ½

× 4 = × 4 =    

Use the following to compare fractions...

1.  Use a fraction model

2.  Compare to a benchmark

3.  Find a common denominator.

f;H

Compare  

K;f

u;D D;R

L;e A;e

Decomposing Fractions (4.NF.3)

4.NF.3  

I can decompose a fraction into the sum of fractions with the same denominator.

Decomposing Fractions

   

To decompose a fraction, break the fraction into smaller fractions with the same denominator.

R+O Q+P

O+O+O+O+O

P+P+ Q+

+

M h y

Find two ways to decompose each fraction.

Adding & Subtracting Fractions (4.NF.3)

4.NF.3  I can understand addition and subtraction of fractions as joining and separating parts referring to the same whole.

Adding and Subtracting Fractions

   

Shade 3 parts with one color and 2 parts with another. How many total parts are shaded?

d + c

=

R - Q

=

Shade 4 parts then X out 3 of the shaded parts. How many parts are left shaded?

f + c

=

R + O

=

d - b

=

S - R

=

Adding & Subtracting Mixed Numbers (4.NF.3)

4.NF.3  

I can add and subtract mixed numbers with like denominators.

Adding & Subtracting Mixed Numbers

   

2 S

- 1 O

=

 

Sha

de

2 w

hole

s an

d 5

par

ts N

ow, X

out 1 w

hole &1 part

How many wholes and parts are left shaded?

2 f

+ 1 c

=

Sha

de

2 w

hole

s an

d 5

par

ts

Sha

de

1 w

hole

& 2

par

ts

How many total wholes and parts are shaded?

Adding Mixed

Numbers

Subtracting Mixed

Numbers

2 F

+ 2 G

=______

4 C

+ 3 C

=______

5 H

- 3 G

=______

4 S

- 3 R

=______

Word Problems: Adding & Subtracting Fractions (4.NF.3)

4.NF.3  

I can solve word problems involving addition and subtraction of fractions.

Word Problems: Adding & Subtracting Fractions      

At a party, Andy and April shared a cherry pie, cut into 10 pieces. Andy ate of the pie and April ate of the pie. What fraction of the pie did they eat altogether? Operation: ___________ Equation: __________________ Solution: _______________________

u t

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

c

 

h

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?

At the beginning of the summer of the pages in Tom’s journal were blank. If he wrote in of the pages over the summer, what fraction of pages were still empty 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 lunchtime, of the cupcakes were left. After lunch another were eaten. By the end of the day, what fraction of the cupcakes were left?

d c

y

t

K J Q

O

Multiplying Fractions by Whole Numbers (4.NF.4)

4.NF.4  

I can multiply a fraction by a whole number.

Multiplying Fractions by Whole Numbers

     

5

x F

=

Shade 5 parts

How many fourths __ or __

4 ____ 4 are shaded?  

3

x K

=

How many wholes __

____ 5 and fifths are shaded?  

Multiply the whole number, 3 by the numerator, 2. Keep the denominator the same.

5

Shade ___ parts.

4

x D

= 3

x L

=

7

x C

= 2

x H

=

4

x K

= 5

x P

=

Word Problems: Multiplying Fractions (4.NF.4)

4.NF.4  

I can solve word problems involving multiplication of a fraction by a whole number.

Word Problems: Multiplying Fractions & Whole Numbers      

There are 6 students in Angela’s book club. of the students in her group are boys. How many boys are in Angela’s reading group? Equation: ______________ Solution: _____________________

D

There are 8 players on Stan’s basketball team. of the players are able to make it to this weekend’s game. How many of Stan’s teammates will be there to play? Equation: ______________ Solution: _____________________

H

Michael asks his 8 friends, what season of the year they prefer. of his friends say “summer”.

How many of Michael’s friends prefer summer?

Jim is having a barbecue with 10 of his friends. of his friends want hot dogs. How many hot dogs should Jim make?

There are 10 girls on Pam’s soccer team. of her teammates scored a goal at last week’s game. How many of the players on Pam’s team scored a goal?

Kelly is making ice cream cones for her 6 friends. of her friends asked for sprinkles on their ice cream. How many ice cream cones should Kelly make with sprinkles?

f K

L C

Fractions: Denominators of 10 & 100 (4.NF.5)

4.NF.5  I can express a fraction with a denominator of 10 as an equivalent fraction with a denominator of 100, and use this technique to add two fractions with respective

denominators of 10 and 100.

Fractions: Denominators of 10 & 100      

Write a fraction for each of the following pictures:

Notice how the fractions are different, but the values are the same. They are equivalent fractions.

You can also multiply to find equivalent fractions with

denominators of 10 and 100:

You can use this technique to add fractions with two different denominators:

5 30 is the same as... 50 30

10 100 100 100

   3 x 10 = 30 10 x 10 = 100

   7 x 10 = 70 10 x 10 = 100

+ + =

100

20 100

+

= 7 10

20 100

+

5 10

30 100

+ 100

30

100 +

=

6 10

10 100

+ 100

10

100 +

=

4 10

40 100

+ 100

40

100 +

=

Find an equivalent fraction. Then find the sum.

 

Relate Decimals & Fractions (4.NF.6)

4.NF.6  

I can use decimal notation for fractions with denominators of 10 or 100.

Relating Fractions & Decimals

     

- A Decimal is another way of representing “part” of a whole.

- Decimals relate to fractions with denominators of 10, 100, etc...

- A decimal point is used to separate a “whole” and the “part”.

The models below represent the equivalent fractions, 5/10 and 5/100

ones tenths hundredths

0 5 0

Decimal Place Value:

The models above can be interpreted as the decimals: “five tenths” (0.5) or “50 hundredths” (0.50)

Write the following as decimals:

4

10 40 100

= _._ = _._ _ = _._ _ 42

100

Fraction: ______ Decimal: ______ Word Form: _________________

Fraction: ______ Decimal: ______ Word Form: _________________

Fraction: ______ Decimal: ______ Word Form: _________________

Fraction: ______ Decimal: ______ Word Form: _________________

Comparing Decimals (4.NF.7)

4.NF.7  I can compare two decimals to the hundredths

place by reasoning about their size.

Comparing Decimals      

Compare:

0.5 & 0.45

You can think of 0.5 as 0.50 (or 50¢). Then compare it to 0.45 (or 45¢)

0.5 > 0.45

Quick Tip: When comparing

decimals, sometimes it’s helpful to think of

the decimals like money.

Use us to compare decimals.

Use the following to compare fractions...

1.  Use a fraction model

2.  Compare to a benchmark

3.  Find a common denominator.

0.32;0.3

Compare  

0.5;0.05 0.27;0.7

0.33;0.3 0.6;0.9

Thank you so much for purchasing this product. If you have any questions or comments,

please feel free to email me!  

rjyoung23@gmail.com

  Copyright © Rebecca Rojas 2013

All rights reserved by the author. Permission to copy for classroom use only.

   

Credits for Graphics & Fonts: