Transcript FUN WITH FRACTIONS!

FUN WITH
FRACTIONS!
A Study Guide
and
Review Game
What is a fraction?
• A symbol that is used to name equal
parts of a whole.
• A fraction has a NUMERATOR.
• The numerator is the top number and it
names the part that is shaded or
unshaded.
• A fraction has a DENOMINATOR
• The denominator is the bottom number
and it names the total number of pieces
in the whole.
Here’s a Hint…
2
4
The number in the NORTH is
the Numerator!
The number that is DOWN is
the Denominator!
Part of a whole
3 is yellow
8
Part of a set
4 of the set are pears
5
Position on a number
line
Naming Parts of a Whole
Naming Fractional Parts
Finding Equivalent
Fractions
• EQUivALent means EQUAL!
• 3 is EQUivALent to 1
6
2
Here’s a Hint…
• To find equivalent fractions…
LOOK FOR A PATTERN
1
2
2
4
3
6
4
8
5
10
Here’s Another Hint…
• To find equivalent fractions…
USE BOTTOMS UP!
24
24
3
6
=
4
8
Comparing Fractions…
Use Bottoms Up!
16
6
2
6
>
1
8
Two-sixths is greater than one-eighth
Comparing Fractions…
Use Bottoms Up!
15
24
5
12
<
2
3
Five-twelfths is less than two-thirds
Ordering Fractions
• You will be asked to order fractions
from Greatest to Least and from
Least to Greatest
• You have three strategies to choose
from:
1. Draw a picture
2. Use Bottoms Up
3. Use Fraction Fringe
Ordering Fractions with
Drawing A Picture
1
3
1
6
1
9
Least to greatest:
1
1
1
9
6
3
Ordering Fractions with
Bottoms Up
1
3
1
6
1. Compare 1 and
3
2. Compare 1 and
3
3. Compare 1 and
6
1
9
1
6
1
9
1
9
1
3
1
>
6
1
3
1
6
1
>
9
1
>
9
Since 1/3 was largest 2 times, it is the largest fraction!
1/6 is next, followed by 1/9.
Ordering Fractions with
Fraction Fringe
(you can draw it!)
1 Whole
1
2
1
2
1
4
1
8
1
16
1
16
1
4
1
8
1
16
1
16
1
8
1
16
1
16
1
4
1
8
1
16
1
16
1
8
1
16
1
16
1
4
1
8
1
16
1
16
1
8
1
16
1
16
1
8
1
16
1
16
Finding Parts of a Set
When a picture is given, put the items
into groups based
on the number in the denominator.
1 of 9 books = 3
3
books in each group
Finding Parts of a Set
When a picture is not given, you have
two choices:
1. Draw a picture and solve!
2. Do the math!
8 times
what =
64?
1
8
=
Of
64 =
x
?
Mixed Numbers
• A mixed number is a whole
number and a fraction combined
Mixed Numbers
• Count the WHOLEs first
• Then find the FRACTIONal part
Fraction Problem
Solving
• USE YOUR STRATEGIES!!! Do
not try to work out the problems
in your head !!!
• Review all of the tricks and
hints in this slideshow!
• Review your notes from class!
• PRACTICE! PRACTICE!
PRACTICE!
Why do I need to know
this stuff?
• Fractions can and will help you in real life. In order
to figure out how to make only part of a recipe
because you do not want to feed ten people, but
only five, fractions will be very helpful.
•
You can use fractions to divide cake, or candy, and
you will need fractions to help figure out percents.
•
Fractions are useful when you buy paint to make
your house look nice and for figuring how much
interest you will pay to the bank when you take a
loan.
•
Fractions may be a bit difficult to learn, but believe
me, you will be happy that you spent the time.