Once Upon a Dataset (Calculus)

Introduction

If a picture paints a thousand words, how much more can a visualized dataset tell you? Taking real-world data, you can tell the story of the impact of various events, policies, and laws that may have affected the world we live in. This can help us understand the present and act upon it or you can even make some predictions of how the future. It all lies in the story within data.

Essential Questions

• What is end behavior and what does it tell us about a function?
• What strategies can be used to determine the limits of a function?
• What is continuity and how is it determined?
• How can piecewise functions be made continuous?
• Why is studying the end behavior of a function important and useful?
• Why would it be advantageous to make a piecewise function continuous?

Learning Objectives

Students will be able to…

• Determining End Behavior of Polynomial and Rational Functions
• Determining End Behavior Using Graphs
• Determining the Continuity of a Piecewise Function at a Point
• Finding Limits at Vertical Asymptotes Using Graphs
• Finding Limits Involving Absolute Value Functions
• Finding Limits Involving Factorization and Rationalization
• Finding Limits of Polynomials and Rational Functions
• Finding Limits Using Limit Laws
• Finding Limits Using Trigonometric Functions
• Finding the Limit of a Vertical Asymptote of a Rational Function
• Limits Review
• Making a Piecewise Function Continuous
• Review Continuity