1. Lesson 1.1.1 – Defining, Rewriting and Evaluating Rational Exponents
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Need Math II Lesson Exp Props document to complete with students after prerequisite

2. By the end of this lesson, I will be able to answer the following questions…
1. What is a power and a root? What is their relationship? 2. What are the rules for operations with exponents? 3. Can I apply these skills to scenarios with growth and decay?

3. Vocabulary
Real Numbers: The set of all rational and irrational numbers.
Rational Number: Any number that can be expressed as a fraction
Irrational Number:
Exponential Expressions
Base
Exponent (power)
Radical Expressions
Radical sign
Root
Radicand
Function Notation

4. Prerequisite Skills with Practice
Evaluate What is the rule to change a percent to a decimal (and back) Use a calculator to evaluate the following

5. Key Concepts…
1. What does the root sign mean?
2.How does an exponent work? What are the properties of exponents?
3. How does a function work?

6. How can the expression 35 be rewritten using roots and powers?6
How can the expression 35 be rewritten using roots and powers?
Example one
How can the expression
be rewritten using roots
and powers?
Example two
be rewritten using a
rational exponent?
Example Two GeoGebra
Example three
Evaluate the exponential
expression
Round to the thousandths.
Example Three GeoGebra

7. Example four
Evaluate the expression
Round to the thousandth.
Example five
A town has had a nasty outbreak of zombie hamsters! The town’s population the year 2000 was 4000 people. The population “t” years after the year 2000 can be found using the function:
That said, what is the town’s approximate population 2002?
2005? 2015?