FRACTIONS
Using pattern blocks as a visual model
Equivalents
Simplest form
Adding using common pieces
How many of each piecedoes it take to make a whole?
Write a
fraction for
each
⅙
a green triangle willmodel the fraction 1/6
Why?
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 WILLHELP 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
Simplest form isthe one that usesthe least pieces toshow an equal area
SIMPLEST FORM OF 8/12
8/12 is not in simplest form.
8 and 12 have a commonfactor.
Divide by the common factorto find the simplest form
8 ÷4 = 2
12 ÷ 4 = 3
Simplest 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
/
1
2
4
/
1
2
4
/
1
2
How much does this shaperepresent?
