Bits and Pieces IProblem 2.1 pg.20

Equivalent Fractions and Equal Shares.

Stacey Haslow 2007

Sid is going on a hike, and he is bringing licorice for a snack for himself and 3 friends.

It is 48 inches long. The licorice lace is hard to break, so he needs to cut it part way into equal pieces, so it will be easier to break later.

A.) There are four people all together going on the hike.

How should Sid mark the licorice lace so that each person will have a fair share?

Use Labsheet 2.1. Label the first licorice lace A and mark the cuts. Label one hikers share.

A.

A.) There are four people all together going on the hike.

How should Sid mark the licorice lace so that each person will have a fair share?

Use Labsheet 2.1. Label the first licorice lace A and mark the cuts. Label one hikers share.

A.

Stop and work.

One hiker’s share

If Sid marks the licorice in 4 places, each hiker gets of the lace.

4

1

4

1

Two more friends join the hike!

Now Sid is stuck with the 3 marks (4 partitions) he made on the lace, but he wants to share the licorice equally with all of his friends.

B.) Make marks on the second lace on Labsheet 2.1 showing his first 3 marks, and his new marks he must add to divide the lace into equal share. Label one hikers share. Write the fraction for each hiker’s share.

A.

B.

B.) Make marks on the second lace on Labsheet 2.1 showing his first 3 marks, and his new marks he must add to divide the lace into equal share. Label one hikers share. Write the fraction for each hiker’s share.

A.

B.

Stop and work.

If Sid makes marks the lace to divide each into thirds, then the licorice lace will be divided into 12 equal pieces.

4

1

6

112

2

One hiker’s share One hiker’s share12

2

Each hiker gets of the lace. ( or )

6

1

Yep, you guessed it! Two more of Sid’s friends join the hike!

Again, Sid is stuck with the 11 marks (12 partitions) he now has on the lace, but he still wants to share the licorice equally with all of his friends.

A.

B.

C.

C.) Make marks on the Third lace on Labsheet 2.1 showing his first 11 marks, and his new marks he must add to divide the lace into equal share. Label one hikers share and fraction. How many inches of lace will each hiker get?

A.

B.

C.

Stop and work.

C.) Make marks on the Third lace on Labsheet 2.1 showing his first 11 marks, and his new marks he must add to divide the lace into equal share. Label one hikers share and fraction. How many inches of lace will each hiker get?

One hiker’s share =

If Sid makes marks the lace to divide each piece in half, then the licorice lace will be divided into 24 equal pieces.

24

3

8

1

12

1

24

3

Each hiker gets of the lace. ( or )

Each hiker gets 6 inches of licorice lace (24 ÷ 3 = 6).

8

1

4

1Find of the licorice in a different place on the lace. Come up and show on the screen.

4

1

Example

Find of the licorice in a different place on the lace. Come up and show on the screen.

6

1

6

1

Example

Find of the licorice in a different place on the lace. Come up and show on the screen.

8

1

Example8

1

4

1

6

18

1

Well done!

Here’s your homework:

Labsheet 1.5 and

ACE pg.28 #1-3