Velocity and the Rate of Change


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Your friend walks 15 minutes from her house to the school every day. What is her walking speed, if her house is 0.5 miles from her school?

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1. When you blow up a balloon, the time that it takes to blow it up depends on how much pressure the inlet air is under. (AKA, how hard you blow!) If the pressure is higher, the rate of change of the balloon volume _____ as a function of time.

2. When driving over mountains, the grade of the road tells drivers how steep the climb is going up or down the mountain. The grade is the rate of change of _____.

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About This Quiz & Worksheet

This quiz/worksheet combo checks your understanding of how to mathematically solve rates of change. You will be quizzed on your understanding of the key concepts related to rate of change as well as problem-solving skills.

Quiz & Worksheet Goals

In these assessments you will tested on your ability to:

  • Determine how one variable in rate of change is related to the function of another
  • Identify changes in volume as a function of time
  • Differentiate acceleration from velocity

Skills Practiced

  • Defining key concepts - ensure that you can accurately define key phrases, such as acceleration and velocity
  • Making connections - use new understanding about the concept of rate of change over time
  • Critical thinking - apply information regarding the idea of change as a function of time in a different context

Additional Learning

To review the concepts in connection to velocity, look over the corresponding lesson called Velocity and the Rate of Change. This lessons covers:

  • Different types of velocity represented mathematically
  • How to interpret a slope on a graph
  • Concept of inconstant velocity