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?