7.1.6 Lesson Summary

In this lesson, you learned how to:

• Create drawings, tables, and graphs that represent the area of a garden.
• Recognize a situation represented by a graph that increases and then decreases.

Here are the activities that helped you reach those goals:

• 7.1.1: Noticing New Patterns of Change
  • In this activity, you determined patterns in tables based on how the $y$-values changed as the $x$-values changed.
• 7.1.2: The Relationship Between Length and Area
  • In this activity, you examined different combinations of lengths and widths of a rectangle and their respective areas given an amount of fencing. You realized that the closer the rectangle was to a square, the larger the area.
  • 7.1.2: Self Check
  • 7.1.2: Additional Resources
• 7.1.3: Plotting Measurements
  • In this activity, you looked at how a function that wasn’t linear or exponential changed by increasing and then decreasing.
  • 7.1.3: Self Check
  • 7.1.3: Additional Resources
• 7.1.4: The Input and Output of a Function
  • In this activity, you completed a table where values again increased and then decreased, rather than always increasing or always decreasing like in linear and exponential functions.

After these activities, you completed the following practice:

• 7.1.5: Practice