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Error Intervals: IM 7.4.15
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1. Lesson 7.4.15
- IM 7.4.15 Lesson: Error Intervals
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2. Practice 7.4.15
- IM 7.4.15 Practice: Error Intervals
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Error Intervals: IM 7.4.15
IM 6 – 8 Math, GeoGebra Classroom Activities, Aug 24, 2020
“Error Intervals” from IM Grade 7 by Open Up Resources and Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 license.
Table of Contents
- Lesson 7.4.15
- IM 7.4.15 Lesson: Error Intervals
- Practice 7.4.15
- IM 7.4.15 Practice: Error Intervals
IM 7.4.15 Lesson: Error Intervals
An industrial scale is guaranteed by the manufacturer to have a percent error of no more than 1%. What is a possible reading on the scale if you put 500 kilograms of iron ore on it?
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A saw mill cuts boards that are 16 ft long. After they are cut, the boards are inspected and rejected if the length has a percent error of 1.5% or more.
List some board lengths that should be accepted.
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List some board lengths that should be rejected.
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The saw mill also cuts boards that are 10, 12, and 14 feet long. An inspector rejects a board that was 2.3 inches too long. What was the intended length of the board?
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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.
Pause here so your teacher can review your work. Ask your teacher for a new set of cards and repeat the activity, trading roles with your partner.
| If your teacher gives you the problem card: | If your teacher gives you the data card: |
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|
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IM 7.4.15 Practice: Error Intervals
Jada measured the height of a plant in a science experiment and finds that, to the nearest of an inch, it is inches.
What is the largest the actual height of the plant could be?
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What is the smallest the actual height of the plant could be?
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How large could the percent error in Jada’s measurement be?
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The reading on a car’s speedometer has 1.6% maximum error. The speed limit on a road is 65 miles per hour.
The speedometer reads 64 miles per hour. Is it possible that the car is going over the speed limit?
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The speedometer reads 66 miles per hour. Is the car definitely going over the speed limit?
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Water is running into a bathtub at a constant rate. After 2 minutes, the tub is filled with 2.5 gallons of water. Write two equations for this proportional relationship. Use for the amount of water (gallons) and for time (minutes). In each case, what does the constant of proportionality tell you about the situation?
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Noah picked 3 kg of cherries. Jada picked half as many cherries as Noah. How many total kg of cherries did Jada and Noah pick?
Here is a shape with some measurements in cm.
Complete the table showing the area of different scaled copies of the triangle.
Is the relationship between the scale factor and the area of the scaled copy proportional?
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