What Fraction of a Group?: IM 6.4.7
[url=https://im.kendallhunt.com/MS/teachers/1/4/7/preparation.html]“What Fraction of a Group?”[/url] from IM Grade 6 by [url=https://www.geogebra.org/m/gus8ffvr]Open Up Resources[/url] and Illustrative Mathematics. Licensed under the [url=https://creativecommons.org/licenses/by/4.0/]Creative Commons Attribution 4.0 license[/url].
Table of Contents
- Lesson 6.4.7
- IM 6.4.7 Lesson: What Fraction of a Group?
- Practice 6.4.7
- IM 6.4.7 Practice: What Fraction of a Group?
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:
Draw a tape diagram for Monday
Find the answer to the question above.
Write a division equation for [b]Tuesday[/b] below:
Draw a tape diagram for Tuesday
Find the answer to the question above.
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][*]Thursday: 6 cups[/*][*]Friday: [math]7\frac{1}{2}[/math]cups[/*][/list][br]What fraction of a batch 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]Thursday[/b] below:
Draw a tape diagram for Thursday
Find the answer to the question above.
Write a division equation for [b]Friday[/b] below:
Draw a tape diagram for Friday
Find the answer to the question above.
For each question, write a division equation, draw a tape diagram, and find the answer.
What fraction of 9 is 3?[br][br]Write a division equation.
Draw a tape diagram. What fraction of 9 is 3?
Find the answer to the question above.
For each question, write a division equation, draw a tape diagram, and find the answer.
What fraction of 5 is [math]\frac{1}{2}[/math]?[br][br]Write a division equation.
Draw a tape diagram. What fraction of 5 is 1/2?
Find the answer to the question above.
IM 6.4.7 Practice: What Fraction of a Group?
[size=150]A recipe calls for [math]\frac{1}{2}[/math] lb of flour for 1 batch. How many batches can be made with each of these amounts?[/size][br][br]1 lb
[math]\frac{3}{4}[/math] lb
[math]\frac{1}{4}[/math] lb
[size=150]Whiskers the cat weighs [math]2\frac{2}{3}[/math]kg. Piglio weighs [math]4[/math] 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.[/size][br][br]How many times as heavy as Piglio is Whiskers?
How many times as heavy as Whiskers is Piglio?
Andre is walking from his home to a festival that is [math]1\frac{5}{8}[/math]kilometers away. He walks [math]\frac{1}{3}[/math] kilometer and then takes a quick rest. Which question can be represented by the equation [math]?⋅1\frac{5}{8}=\frac{1}{3}[/math] in this situation?
Draw a tape diagram in the applet below to represent the question: What fraction of [math]2\frac{1}{2}[/math] is [math]\frac{4}{5}[/math]?[br]Then find the answer.
How many groups of [math]\frac{3}{4}[/math]are in each of these quantities?[br][br][math]\frac{11}{4}[/math]
[math]6\frac{1}{2}[/math]
Which question can be represented by the equation [math]4\div\frac{2}{7}[/math]=?