Fractions

Objectives and Standards Grade Level Content Expectations: N.ME.04.20 Understand fractions as parts of a set of objects. N.MR.04.21 Explain why equivalent fractions are equal, using

models such as fraction strips or the number line for fractions with denominators of 12 or less, or equal to 100.

N.ME.04.24 Know that fractions of the form mn where m is greater than n, are greater than 1 and are called improper fractions; locate improper fractions on the number line.*

N.MR.04.25 Write improper fractions as mixed numbers, and understand that a mixed number represents the number of “wholes” and the part of a whole remaining, e.g., = 1 + = 1

. N.MR.04.26 Compare and order up to three fractions with

denominators 2, 4, and 8, and 3, 6, and 12, including improper fractions and mixed numbers.

N.MR.04.27 Add and subtract fractions less than 1 with denominators through 12 and/or 100, in cases where the denominators are equal or when one denominator is a multiple of the other, e.g., 1 12 +5 12 =6 12; 1 6 + 5 12 = 7 12; 3 10 – 23 100 = 7 100 .

Introduction

This lesson is for 4th grade math students.• You are to navigate your way through this lesson

individually.• The arrows at the bottom of the page will allow you

to navigate through different parts of this lesson.• If you link out to a webpage, close the window when

you are done viewing the content on the webpage to return to this lesson.

• A review of fractions will be at the beginning of the lesson and it will then move to a few new concepts about fractions.

• Throughout the lesson, you will be given assessments to check your understanding.

• Have Fun! :)

Table of Contents- click on the circle to take you to that page. The house on each of the pages will take you back here.

What are fractions Numerator Denominator Identifying fractions Equivalent fractions Comparing Fractions Adding Fractions Subtracting Fractions Improper Fractions Mixed Numbers

What are fractions?

Watch this video for a review of fractions:

http://www.youtube.com/watch?v=7e_JGthEE-Q

Is the following question true or false? Click on your answer

Fractions are equal parts or pieces of something larger.

FalseTrue

False

Go back and watch the first 30 seconds of the video!

True

Correct!!!!

Numerator

The numerator is the number on top of the fraction bar.

It represents the number of parts of the whole being considered.

dsa numerator

Denominator

The denominator is the number under the fraction bar.

The denominator represents how many parts the bottom number is equally cut into.

d denominator The denominator cannot be zero since

that means the whole is divided into zero parts.

Answer the following questions:

3_____ 4

Is 3 the numerator or denominator?

7___ 8

Is 7 the numerator or denominator?

numerator denominator

numerator denominator

You can look at fractions in different ways:¾ of the rectangles are blue

OR ¼ of the rectangles are yellow

I ate ¼ of the pizza and have ¾ left. OR I ate ¾ of the pizza and have ¼ left.

Identifying fractions

Click on this link to name fractions of a circle. http://www.visualfractions.com/IdentifyCircles/ide

ntifycircles.html

Click on this link for an extension to name fractions on a number line.

http://www.visualfractions.com/IdentifyLines/identifylines.html

*Hint: remember that the denominator is the number of equal parts the whole is divided into.

Equivalent Fractions Fractions that show the same

amount considered are called equivalent.

The first one says that is red and the second one says that is red... But, the same amount is red on both circles! So, they must be equivalent.

Equivalent Fractions

Use this site to answer the following questions: http://www.mathsisfun.com/numbers/fraction-number-line.html

1.) Which fraction is equivalent to ½?

2.) Which fraction is equivalent to ⅜?

_4_8

_3_ 7

_6_8

_7_8

_6_16

_1_4

Correct!

These are many fractions equivalent to ½ since the numerators are half of the denominators.

2/4 3/6 4/8 5/10 6/12 50/100

Comparing Fractions

Click on this link to review how to compare fractions. There are three pages to view and interact with. ://www.coolmath4kids.com/fractions/fractions-08-which-fraction-is-greater-01.html

On the next few slides you will compare fractions using: Greater than > Less than < Equal to =

If you would like a visual to assist you in comparing fractions this link allows you to type in the fractions- http://www.webmath.com/k8cf.html

Comparing Fractions- click on the correct sign to compare the two fractions

4 35 5

2 23 8

You can do it!

Back to Question

Great Job!!!

Back to Question

Comparing fractions

Use this website to compare fractions on a number line:

http://www.visualfractions.com/CompareL/comparel.html

¼ < ¾

Adding Fractions When denominators are the same, you

just add the numerators and keep the denominator the same.

= ⅘

Adding Fractions

Click on the correct answer to add the following fractions-

⅝+⅜=

⅗+⅘=

88

28

75 1⅖

You can do it!

Back to Question

Great Job!!!

Back to Question

Correct!

Both 7/5 and 1 and 2/5 are correct. You will learn in a few slides why both are correct.

Subtracting Fractions

When denominators are the same, you just subtract the numerators and keep the denominator the same.

3/6 - 1/6 = 2/6

Subtracting Fractions

Click on the correct answer to subtract the following fractions-

− =

− =

210

810

44

24

More addition and subtraction fraction practice

This website allows for you to have more practice with these skills. You can choose subtraction or addition and the level of difficulty.

The top half of the page is fractions and make sure you stay on this section.

http://www.funbrain.com/fractop/index.html

Improper Fractions

An Improper fraction has a top number larger than (or equal to) the bottom number.

It is "top-heavy”Examples:3/2 7/4 16/15 15/15

99/5

Mixed Numbers Mixed Fractions: A whole number and proper

fraction together.Examples:

1 1/3 2 ¼ 2¾ 7⅕ Improper Fractions or Mixed Fractions: You can use

either an improper fraction or a mixed fraction to show the same amount.

For example

1 3/4 = 7/4

=

Changing an improper fraction to a mixed number

Watch this video for an introduction on how to change them using division:

http://www.youtube.com/watch?v=HPetBqWKvZM

Besides division you can also draw a picture. For example, 7/4 (seven fourths) can change into the mixed number 1  3/4 (one and a half).   They both mean the exact same amount!  Here's a picture to help you see why.

=

Changing an improper fraction to a mixed number

This website allows you to convert an improper fraction into a mixed number. Use this site to change the following improper fractions. http://www.webmath.com/convfract.html

6/3 11/4 8/4 9/5 10/2 Now go to this site and practice changing them

yourself. http://www.aaaknow.com/fra57cx3.htm

Check out these sites for more information, practice, and games about fractions!

http://www.kidsolr.com/math/fractions.html

http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/fractions/index.htm

http://classroom.jc-schools.net/basic/math-fract.html

http://www.gamequarium.com/fractions.html

http://www.visualfractions.com/

Great!Fabulous!

You did it!Superb

Excellent