1. Unit 1 Day 2 Rational Exponents
Objectives: Use properties of rational exponents to evaluate and simplify expressions. Use properties of rational exponents to solve real-life problems.
Standards:
Supplementary Reading:

2. Unit 1 Outline Theme: Roots, Rational Exponents & Complex #s
1.) Simplifying & operating w/ roots
2.) Defining a rational exponent
3.) operations w/ rational exponents
4.) defining the imaginary number & complex #s
5.) taking powers of the imaginary number
6.) operating w/ complex numbers
Essential Questions:
A. What is the relationship b/w radicals & rational exponents?
B. Why are rational exponents needed?
C. Why should radical expressions be simplified?
D. When must complex #s be applied to radical expressions?
Unit 1 Quiz: Thursday Sept 24th
Unit 1 Test: Wednesday Sept 30th

3. Warmup Query Question: Name one of the 3 rules of simplifying radicals
In your own words. What do you think a rational exponent means?
Use your calculator & plug in values to create a conjecture.
Query Question: Name one of the 3 rules of simplifying radicals

4. Important Vocabulary
Exponent
Rational
Radical
Inverse

5. Lets Discuss What are inverses & identities? Types of identities:
Additive
Multiplicative
Exponential
Types of inverses:
How does it relate to an integer exponent?
How do roots and rational exponents compare?
**Note** there are different types of inverses, for numbers, operations, functions & more

6. Defining Rational Exponents

7. Check For Understanding
Answer
Answer

8. Defining Rational Exponents

9. Operating W/ Rational Exponents
What happens when you add expressions with rational exponents?
What happens when you subtract expressions with rational exponents?
What happens when you multiply expressions with rational exponents?
What happens when you divide expressions with rational exponents?
What happens when you take the power of expressions with rational exponents?

10. Lets Experiment

11. Operating W/ Rational Exponents

12. Simplifying Rational Exponents
Same rules apply to rational exponents as integer exponents & radicals.
No negatives allowed
No perfect factors left in expression
No rational exponents in denominator
No Fractions w/in the rational exponent.

13. Example

14. Check For Understanding
Simplify
Answer
Answer

15. Problem 1
Example1:

16. Problem 2
Example 2:

17. Classwork Start on homework.
You may work with the group you are sitting with.

18. Closure Homework: What was not Finished in class!
How do properties of roots relate to laws of exponents?
Homework: What was not Finished in class!

19. Unit 1 test question
How do properties of roots relate to laws of exponents