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Fractional Lengths: IM 6.4.12
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1. Lesson 6.4.12
- IM 6.4.12 Lesson: Fractional Lengths
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2. Practice 6.4.12
- IM 6.4.12 Practice: Fractional Lengths
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Fractional Lengths: IM 6.4.12
IM 6 – 8 Math, GeoGebra Classroom Activities, Aug 14, 2020
“Fractional Lengths” from IM Grade 6 by Open Up Resources and Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 license.
Table of Contents
- Lesson 6.4.12
- IM 6.4.12 Lesson: Fractional Lengths
- Practice 6.4.12
- IM 6.4.12 Practice: Fractional Lengths
IM 6.4.12 Lesson: Fractional Lengths
Find the product mentally.
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Your teacher will give you either a problem card or a data card. Do not show or read your card to your partner.
| If your teacher gives you the problem card: | If your teacher gives you the data card: |
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Lin has a work of art that is 14 inches by 20 inches. She wants to frame it with large paper clips laid end to end.
If each paper clip is inch long, how many paper clips would she need? Show your reasoning and be sure to think about potential gaps and overlaps. Consider making a sketch that shows how the paper clips could be arranged.
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How many paper clips are needed if the paper clips are spaced inch apart? Describe the arrangement of the paper clips at the corners of the frame.
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A second-grade student is 4 feet tall. Her teacher is 5 ⅔ feet tall.
How many times as tall as the student is the teacher?
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What fraction of the teacher’s height is the student’s height?
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Find each quotient. Show your reasoning and check your answer.
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Write a division equation that can help answer the question. Then find the answer. If you get stuck, consider drawing a diagram.
A runner ran miles on Monday and miles on Tuesday. How many times her Monday’s distance was her Tuesday’s distance?
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A cyclist planned to ride miles but only managed to travel miles. What fraction of his planned trip did he travel?
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The photo shows a situation that involves fractions. Complete the sentences. Be prepared to explain your reasoning.
The length of the long tube is about ______ times the length of a short tube.Font sizeFont size
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The length of a short tube is about ______ times the length of the long tube.
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If the length of the long paper roll is inches, what is the length of each short paper roll?Font sizeFont size
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IM 6.4.12 Practice: Fractional Lengths
One inch is around centimeters.
How many centimeters long is 3 inches? Show your reasoning using the applet below.
How many centimeters long is 3 inches? Show your reasoning using the applet below. Font sizeFont size
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What fraction of an inch is 1 centimeter? Show your reasoning.
What question can be answered by finding in this situation?
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A zookeeper is feet tall. A young giraffe in his care is feet tall.
How many times as tall as the zookeeper is the giraffe?
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What fraction of the giraffe’s height is the zookeeper’s height?
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A rectangular bathroom floor is covered with square tiles that are feet by feet. The length of the bathroom floor is feet and the width is feet.
How many tiles does it take to cover the length of the floor?
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How many tiles does it take to cover the width of the floor?
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The Food and Drug Administration (FDA) recommends a certain amount of nutrient intake per day called the “daily value.” Food labels usually show percentages of the daily values for several different nutrients—calcium, iron, vitamins, etc.
Consider the problem: In cup of oatmeal, there is of the recommended daily value of iron. What fraction of the daily recommended value of iron is in 1 cup of oatmeal?
Write a multiplication equation and a division equation to represent the question. Then find the answer and show your reasoning.
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What fraction of is ? Draw a tape diagram to represent and answer the question. Use graph paper if needed.
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Noah says, “There are groups of in 2.” Do you agree with him? Draw a tape diagram to show your reasoning. Use graph paper, if needed.
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