IM 6.4.7 Lesson: What Fraction of a Group?

Estimate the quantities:

What is [math]\frac{1}{3}[/math] of 7?

What is [math]\frac{4}{5}[/math] of [math]9\frac{2}{3}[/math]?

What is [math]2\frac{4}{7}[/math] of [math]10\frac{1}{9}[/math]?

Write a multiplication expression for each of the previous questions.

What is [math]\frac{1}{3}[/math] of 7?

What is [math]\frac{4}{5}[/math] of [math]9\frac{2}{3}[/math]?

What is [math]2\frac{4}{7}[/math] of [math]10\frac{1}{9}[/math]?

The segments in the applet 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.

Complete the sentence comparing the lengths of the ropes. [br][br]Rope B is _______ times as long as rope A.

Use the measurements shown on the grid to write a multiplication equation and a division equation for the comparison above.

Complete each sentence comparing the lengths of the ropes. [br][br]Rope C is _______ times as long as rope A.

Use the measurements shown on the grid to write a multiplication equation and a division equation for the comparison above.

Complete each sentence comparing the lengths of the ropes. [br][br]Rope D is _______ times as long as rope A.

Use the measurements shown on the grid to write a multiplication equation and a division equation for the comparison above.

Each equation can be used to answer a question about Ropes C and D. What could each question be?

[math]?\cdot3=9[/math] and [math]9\div3=?[/math]

[math]?\cdot9=3[/math] and [math]3\div9=?[/math]

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:

[list][*]Monday: 12 cups[/*][*]Tuesday: [math]22\frac{1}{2}[/math] cups[/*][/list][br]How many batches of ice cream did she make on these days? For each day, write a division equation, draw a tape diagram, and find the answer.[br][br]Write a division equation for [b]Monday[/b] below: