Learning Resources

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Outcomes

In this lesson you will

  • Discover the meaning of rational exponents by examining graphs and tables of exponential functions while using technology

By the end of this section students will be able to:

  • demonstrate an understanding of the role of real numbers in exponential and logarithmic expressions and equations
  • apply real number exponents in expressions and equations
  • demonstrate an understanding of the relationships that exist between arithmetic operations and the operations used when solving equations
  • solve exponential and logarithmic equations
  • solve problems involving exponential and logarithmic equations
  • model real-world phenomena using exponential functions
  • describe and translate between graphical, tabular, written, and symbolic representations of exponential and logarithmic relationships

Introduction

Mathematical Modeling, Book 3   p.163 - 171

You will now discover the meaning of rational exponents and use this knowledge to solve exponential equations and simplify complex exponential expressions.

This section should take 3.5 hours to complete.

Prerequisites

To be successful in this lesson, it would be helpful to know the following:

  • solving exponential functions by converting to the same base
  • determining the equation of exponential functions without using technology
  • understanding the meaning of zero and negative exponents
  • solving quadratic equations