What Fraction of a Group?

Warmup

Activity #1

What Fraction of a Rope is Another Rope?

The segments in the applet below represent 4 different lengths of rope. Compare one rope to another, moving the rope by dragging the open circle at one endpoint. You can use the yellow pins to mark off lengths.

• Compare the ropes closely and answer the questions below.

Activity #2

Application of Fractions to Solve Problems.

• Read the question below and answer the questions that follow.

One batch of an ice cream recipe uses 9 cups of milk. A chef makes different amounts of ice cream on different days. Here are the amounts of milk she used:

(2.) Write a division equation for Monday.

(3.) Draw a tape diagram for Monday on the graph below.

(4.) Write a division equation for Tuesday.

(5.) Draw a tape diagram for Monday on the graph below.

Activity #3

Application of Fractions to Solve Problems.

• Read the question below and answer the questions that follow.

One batch of an ice cream recipe uses 9 cups of milk. A chef makes different amounts of ice cream on different days. Here are the amounts of milk she used:

(2.) Write a division equation for Thursday.

(3.) Draw a tape diagram for Thursday on the graph below.

(4.) Write a division equation for Friday.

(5.) Draw a tape diagram for Friday on the graph below.

Challenge #1

A cat weighs kg. A puppy weighs 4 kg. For each question, write a multiplication equation and a division equation, decide whether the answer is greater than 1 or less than 1, and then find the answer.

(1.) How many times as heavy as the puppy is the cat?

(2.) How many times as heavy as the cat is the puppy?

Challenge #2

Andre is walking from his home to a festival that is kilometers away. He walks and takes a quick rest.

What question in the answer choices can be represented by the following equation in this situation?

Challenge #3