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A tutorial on fractions for third graders
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A TUTORIAL FOR THIRD GRADERSBY HELEN CARBONNEAU
EDUC 6305 JULY 2011
Fraction Action!!
Part one: Would You Recognize a Fraction?
? ??
Which of these is a fraction?
A.5/3B.3/5C.5/5D.All of the above
Which one is a fraction?
A.5/3B.3/5C.5/5D.All of the above(Keep reading. Fractions are easier to understand
when you can see them.)
Surprise!!
Really, you already know a lot about fractions. Here are some common objects that are fractionalized…
Each segment is a fraction of the candy bar.
Each brick is a fraction of the wall.
We don’t always use the word “fraction”. Sometimes we just divide things.
“Fraction” is the math word. But there are other words that mean the same thing:
A small pieceA slice
A little bit Most of it
A share of The lion’s share
A portion of Leftovers and
remainders
A fraction is part of something larger. That larger thing is called
the “whole” or the “unit”.
Did you like that picture?
Here it is again…
This is the whole doughnut.
Here are the fractions. Two halves of the whole doughnut.
Fractions can also be part of a set.
There are 12 candies in this set. 2 of the 12 are red. 2 of the 12 are yellow. 2 are blue. 2 of the 12 are green. 2 of the 12 are orange and the other 2 are brown.
The fraction is: 2/12.
Fractioning is breaking up or splitting up. To fraction something is to break it apart.
12345
It can be broken up even more.
12345678910
It can still be broken up again.
1234567891011121314151617181920
Fractioning can occur many, many times. No matter the size, all the pieces are fractions.
1 23 45 67 89 1011 1213 1415 1617 1819 2021 2223 2425 2627 2829 3031 3233 3435 3637 3839 40
We use numbers to show the division. These fractions are mathematical expressions.
½ ¾
5/8 10/16 5/4 999/1000
Other words for fractions and whole:
Full- half full- empty
Percentages
Decimals
Unit and segments
Coins are fractions of dollars.
End of Part One
Cooperative group assignment: In your group, read about “Animal Clutches” on p. 218 in your Student Reference Book.
In journals, write three observations about animal clutches. Bring Reference Books and Journals to Math group.
In Math group, complete a parts-and-total chart using data from “Animal Clutches”.
Assessment: At your desk, complete Math Boxes in Student Math Journal, p. 36.
Fractioning is breaking up a whole.
Some fractional parts have names.
Half ½ Third 1/3
Fourth ( or quarter) 1/4
One fifth 1/5
Three quarters 3/4
Money fractions have these names:
Cent or penny (1 ¢)Nickel (5 ¢)Dime (10 ¢)Quarter (25 ¢)Half Dollar (50 ¢)
Remember: The fractions are equal parts of the whole.
In math, we refer to the whole unit as an integer.
Fractions are written like this.
The top number is the numerator. The bottom number is the denominator.
⅚
The denominator is downstairs.
9/10
Denominator
The numerator is in the attic.
9/10
Numerator
The fraction tells how many pieces of a whole unit we are dealing with.
5/6• 2/3
End of Part 2
Journaling activity: Use geometry blocks (2 colors)to construct fractional models. Refer to the instructions at the table.
Assessment: At your desk, write a paragraph in your journal about what your understanding of fractions.
Here are some great sites for kids to learn more about fractions.
This was just the beginning. There is much more to learn about fractions.
These sites will help you to practice.“What are Fractions?” http://tinyurl.com/6glkx64
“Fraction Dominoes” http://tinyurl.com/6h38eh8
“Fractions” tutorial http://tinyurl.com/ax9wb
More Fraction Sites for Kids
“Adding Fractions with Like Denominators” http://tinyurl.com/5tcntat
“Subtracting Fractions with Like Denominators” http://tinyurl.com/633rwp9
“Comparing Fractions” http://tinyurl.com/658wxd9
More Fractions Sites for Kids
“Visual Fractions” http://www.visualfractions.com/
“Fresh Baked Fractions” http://tinyurl.com/8d54a
West Virginia CSO reference
M.O.3.1.5
demonstrate an understanding of fractions as part of a whole/one and as part of a set/group using models and pictorial representations.
Source: http://tinyurl.com/6camqbz