This document provides an overview of exponents, radicals, and rational/irrational numbers. It includes examples and homework problems. The document instructs students to: 1) Complete an exponent worksheet with a partner and review an exponent master worksheet with their group. 2) Learn to define radicals, nth roots, square roots, cube roots and fourth roots. Examples are provided to distinguish between even and odd nth roots. 3) Determine whether examples are rational or irrational numbers and explain their reasoning. 4) Participate in a "Boards Up" interactive activity with partners to practice problems on dry erase boards. 5) Review provided homework problems focusing on exponents, radicals, rational/irrational numbers.

1. Opener: Complete the Exponents and Radicals Reference Guide
worksheet with your partner.
1

2. 2

3. Become an Review the Exponent Master worksheet with your
Exponent Master group members from last class. Work together to clear
up any questions you may have. Use the reference
guide created in class today to help you out.
3

4. Homework
Questions
4

5. 6.10 Rational and Irrational Numbers
Topic One: Rational Number: a real number that can be expressed
Rational Numbers as a fraction.
•
•
• Examples:
Express each expression as a fraction with an integer in
the numerator and denominator.
(Ex. 1) 1.341
It's Your Turn!!!
(Ex. 2) 1.3+2.8
5

6. Topic Two: Irrational Numbers: Real numbers that cannot be
Irrational Numbers written as a fraction with integers in the numerator and
denominator.
•
•
• Examples:
Which of the following numbers are rational? Which are
not rational? Explain.
(Ex. 3 & 4) ‐19.13 √17
6

7. 6.11 Roots, Radicals, and the nth Root
Topic Three:
Defining Radicals Radical: A number such as a square root, cube root,
and nth roots fourth root, and so on.
Square Roots
Cube Roots
Fourth Roots
7

8. Topic Three cont... If n is even, then for a ≥ 0, the nth root is the
nth Roots positive value of x that satisfies the equation xn= a.
If n is odd, then for any real number a, is the unique
value of x that satisfies the equation xn = a.
(Ex. 5 & 6) Find each value without a calculator.
It's Your Turn!!!
(Ex. 7)
8

9. Boards Up!!! Please get a dry erase board, marker and erase from the
side of the room for Boards Up!!!
A few ground rules..
1.) Keep marker capped when not in use.
2.) Only math items on dry erase board.
3.) Do not drawer on the eraser.
4.) Take turns writing on the board with your partner.
5.) When not writing on the board, practice the problem
in your notes.
6.) Work with your partner.
7.) Have fun practicing math!!!
9

10. Homework: Pg. 550 Check Your Understanding
# 1, 2adefg, 9, 10a‐j
Pg. 553 For You to Do
# 1‐7
Pg. 528 # 2, 4, & 5abef
Pg. 557 # 5
10