Lesson Plan

Identify key features of the graph of a translated rational function by exploring how per-person cost changes as the number of people increase

  • Created by:
  • Standards:
  • Tags:
teaches Common Core State Standards CCSS.Math.Content.HSF-IF.C.7d http://corestandards.org/Math/Content/HSF/IF/C/7/d

You have saved this lesson!

Here's where you can access your saved items.

Dismiss
Content placeholder

Card of

  1. Begin lesson Begin assignment

Tip: swipe on touch devices, use your keyboard's ← and → arrow keys, or clicker buttons to quickly navigate the lesson plan

or to view additional materials

You'll gain access to interventions, extensions, task implementation guides, and more for this lesson.

Big Ideas: The graph of f(x)=(a+bx)/x has a characteristic shape. When a and x are positive, f(x) is decreasingly decreasing, and the graph is a curve. The graph of f(x) has a horizontal asymptote at y=b. In this task, students create and graph a rational function that relates the number of people attending an end of the year trip, to the cost per person of the trip. This task builds on task 5 by introducing an additional parameter: in addition to the cost of the bus, each student must also contribute $20 for gas. This creates a rational function of the form f(x)=(a+bx)/x. Students use the graph to explore key features of the graph, including its maximum, whether it is increasing or decreasing, and its infinite behavior. Vocabulary: graph, plot, point, function, asymptote Special Materials: Graph paper
Provide feedback