View
212
Download
0
Category
Tags:
Preview:
Citation preview
Mathematics 2
Ms. Meek
Fractions Review
Fractions are part of a whole number.
On a number line, if an arrow is pointing at a number located between two whole numbers,
that is a fraction.
^
Review: Parts of a Whole
Fractions are part of a whole number.
If only part of a group is participating in an activity or is
represented, that part of the whole group is a fraction.
The money left over from a whole dollar, the change, is also a
fraction. It is part of a whole dollar.
Parts of a Whole
One way to write fractions numerically, is with a fraction
bar.
If there are 12 boys in a classroom with 25 students, 12
out of 25 kids are boys.
The boys are a fraction of the group.
We can write that this way: 12
25
Writing Fractions
12 numerator 25denomiator
The numerator is the number on top. It represents the part of
the whole group.
The denominator is the bottom number. It represents the whole
group.
The numerator should always be smaller than the denominator.
Fraction Vocabulary
Fractions are often easier to understand through models with
pictures.
We can look at the parts of the whole that are shaded or un-
shaded.
Each part of the whole represents a fraction.
Modeling Fractions
Modeling Fractions
Modeling fractions
What fraction of the shaded pieces is represented by the
model?46
Modeling fractions
What fraction of the un-shaded pieces is represented by the
model?13
Review: Comparing Numbers
Vocabulary: greater than >less than <equal =
Both parts of the fraction need to be considered when
comparing.
Comparing Fractions
The denominator, or bottom of the fraction, indicates the total number
of parts there are in the whole.
The larger denominator, the more pieces.
The more pieces the whole is broken into, the smaller the fraction.
Comparing Fractions
The numerator, or the top, tells us how many pieces of the
whole we are considering.
The larger numerator, the larger the fraction.
Comparing Fractions
1 1
6 3
In the the fraction 1/3 , 1 piece of 3
total are shaded.
In the fraction 1/6 , 1 piece of 6 total are shaded.
To answer your question about which fraction is larger, you just
need to look at both pies, and decide which one has more shading.
The pie with the most shading represents the larger fraction.
Comparing Fractions
<
1 1
6 3
Comparing Fractions WithUnlike Denominators &
Numerators
2 3
4 8
To determine which fraction is larger, you just need to look at
both pies, and decide which one has more shading.
The pie with the most shading represents the larger fraction.
In this case, the pie showing 2/4 has more shading than the pie
showing 3/8.
This means that 2/4 is larger than 3/8.
Comparing Fractions WithUnlike Denominators &
Numerators
2 3
4 8
>
Practice 3 ?
2 4
6>
When the numerator of the fraction is the same as the denominator, the fraction
equals one.
This is because the total number in the group is the same as the number of pieces represented
Fractions Equaling One
All four pieces out of a total of four pieces are shaded.
44
Fractions Equaling One
Often times, there are fractions with different numbers, but they can take up the same amount of
space in a whole. These are equivalent fractions.
Equivalent fractions are two fractions that are the same
amount.
The word equivalent means equal in value or measure.
Equivalent Fractions
Equivalent Fractions
Equivalent Fractions
Equivalent Fractions
We have learned that fractions are a part of a whole, but have
only looked at them represented as
numbers and as models.
Remember that fractions indicate the part of the whole group that
is being represented.
Fractions of a Group
For Example:If there are ten dogs at the park,
and four of those dogs are brown, what fraction of the
dogs are brown?
Four out of ten dogs are brown.4
10
Fractions of a Group
What fraction of the bells are
green?Three out of six bells are green.
36
Fractions of a Group
What fraction of the group is
white?One out of five are white.
15
Fractions of a Group
What is ½ of 6?3
Fractions of a Group
What is ¼ of 4?1
Fractions of a Group
Recommended