World of Technology

Worksheet Description

This worksheet, titled “World of Technology,” features unit rate word problems set against a backdrop of contemporary technological scenarios. Students are required to solve problems that include calculating the rate of a smartphone battery draining, the speed of a computer downloading data, the rate of data transmission by a Wi-Fi router, and the production rate of a 3D printer. Further problems ask for the rate of storage space required for a software update, the distance a drone can fly on a single battery charge, the assembly rate of circuit boards by a robot, the distance an electric car can travel per kilowatt-hour, the speed of scanning by a computer program, and the rate of photo capture by a camera.

The worksheet is designed to teach students how to calculate unit rates, which are essential for comparing different quantities and understanding efficiency in various contexts. By focusing on relatable technological devices and scenarios, the problems aim to engage students with practical applications of mathematics in areas that are likely familiar and of interest to them. These exercises help students develop their division skills and enhance their ability to analyze rates in contexts that are increasingly relevant in the digital age. The goal is to strengthen students’ numerical reasoning and to illustrate the importance of unit rates in evaluating and understanding technology and its performance.

Example Problems

1. A smartphone battery drains 10% of its charge in 30 minutes of continuous video playback. Calculate the unit rate of battery drainage in percentage per minute.

2. A computer downloads 500 megabytes of data in 10 seconds. Determine the unit rate of data download in megabytes per second.

3. A Wi-Fi router transmits data at a speed of 1000 megabits per second (Mbps). Calculate the unit rate of data transmission in megabits per second.

4. A 3D printer can create 20 small objects in 2 hours. Determine the unit rate of object production in objects per hour.

5. A software update for a smartphone requires 200 megabytes of storage space and takes 5 minutes to download. Calculate the unit rate of download in megabytes per minute.

6. A drone can fly 2 kilometers on a single battery charge, which lasts for 20 minutes. Determine the unit rate of flight distance in kilometers per minute.

7. A robot can assemble 30 circuit boards in 15 minutes. Calculate the unit rate of circuit board assembly in boards per minute.