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Fractions
Using pattern blocks as a visual model
Equivalents
Simplest form
Adding using common pieces
H
ow many of each piece
does it take to make a
whole?Write a fraction foreach
⅙
a green triangle will
model the fraction 1/6
W
hy?
1/3 = 2/6
1/2 = 3/6
1 whole = 6/6
1/6 = 2/12
1/3 = 2/6= 4/12
½ = 3/6 = 6/12
Brown trapezoid is ¼ of the whole
¼ = 3/12
1/12 = 1/12
2/12 =
3/12 =
4/12 =
5/12 = 5/12
6/12 =
1/6
1/4
= 1/3
2/4
= 1/2=3/6
2/6
7/12 = 7/12
8/12 =
9/12 =
10/12 =
11/12 = 11/12
12/12
2/3
= 4/6
3/4
5/6
=6/6
=3/3
2/2
1
/12
2
/12=1/6
3
/12=1/4
4
/12=2/6=1/3
5
/12
6
/12=3/6=2/4 =1/2
Knowing Equivalents will help find simplest form
7/12
8/12= 4/6 = 2/3
9/12 = 3/4
10/12 =5/6
11/12
12/12= 6/6=4/4=3/3= 2/2
2
/3
Simplest Form
4
/6
3
/12
Simplest Form
1
/4
S
implest form is
the one that uses
the least pieces to
show an equal
area
Simplest form of 8/12
8
/12 is not in simplest form.
8
and 12 have a common factor.
D
ivide by the common factor to find the
simplest form
8
÷4 = 2
1
2 ÷ 4 = 3
S
implest form is 2/3
1/2 + 1/3
Adding Fractions
= 5/6
2
/3 + 1/6
2/3+ 1/6 =5/6
1/4 + 2/3 = 11/12
3/12
4/12
4/12
H
ow much does this shape
represent?
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