7.5.6 Lesson Summary

In this lesson, you learned how to:

• Explain the meaning of the terms in a quadratic expression that represents the height of a falling object.
• Use tables, graphs, and equations to represent the height of a falling object.

Here are the activities that helped you reach those goals:

• 7.5.1: Numerical Patterns
  • In this activity, you spent time examining a given table and discovered predictable patterns of the values. The big thing you learned is that the discovered patterns help determine the function rule.
• 7.5.2: A Time-Distance Quadratic Model
  • In this activity, you built a very simple quadratic model using given time-distance data of a free-falling rock. The big thing you learned is that the motion of a falling object is commonly modeled with a quadratic function.
  • 7.5.2: Self Check
  • 7.5.2: Additional Resources
• 7.5.3: Distance as a Quadratic Function of Elapsed Time
  • In this activity, you continued to explore how quadratic functions can model the movement of a falling object by evaluating the function seen earlier in the lesson. Then you built a new function to represent the distance from the ground of a falling object $t$ seconds after it is dropped.
  • 7.5.3: Self Check
  • 7.5.3: Additional Resources
• 7.5.4: A Quadratic Expression that Represents the Relationship Between Distance and Time
  • In this activity, you wrote expressions that represent the distance in feet of an object when it falls after $t$ seconds.

After these activities, you completed the following practice:

• 7.5.5: Practice