Introduction to Limits and Continuity

Introduction to Limits and Continuity

Author: Beth Barsness
  1. Students will display their knowledge of piecewise functions, continuity, and the average value of a function. 
  2. Students will be able to practice graphing these functions without the use of a calculator. 

Students will be using the concept of a limit to investigate piecewise functions. This is an introduction into continuity. They will also be introduced to the concept of the average value of a function.  Students can graph this with or without a calculator, but this problem comes from the NON-graphing calculator section of the AP exam.  Students should be able to graph these functions without the use of a graphing calculator. It is essential that they know the value of sin x and e^x (especially when x = 0).

Length of time needed: 1 class period (60 minutes)

This lesson was written by Lana Golembeski.

Return to the Ready Set Go MN website.

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Lesson Plan

This lesson plan can be downloaded to your computer as a PDF document. If you would like to edit this document for your classroom needs, go to the "Handouts and Materials" section and click on the corresponding link.

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Source: Lana Golembeski

Handouts and Materials

The following files can be downloaded to your computer:

Lesson Plan (Word document)

Limits and Continuity Worksheet (Word document)

Limits and Continuity Answer Key (PDF document)

Source: Lana Golembeski