1. EXPONENTS MATCHBOOK OBJECTIVE
Students understand and use such operations as taking the opposite, finding the reciprocal, taking the root, and raising to a fractional power. They understand and use the rules of exponents. (Alg 1: 2.0)

2. Simplifying Expressions
CONCEPT MAP
PRIOR KNOWLEDGE
Order of Operations
Integers
Factors
Simplifying Expressions

3. CONCEPT MAP ESSENTIAL ELEMENTS Basic Vocabulary Power Base Exponent
Writing Expressions in Exponential Form

4. CONCEPT MAP ESSENTIAL ELEMENTS (continued) Rules of Exponents
Products of Powers
Quotients of Powers
Power of a Power
Power of a Product
Power of a Quotient

5. CONCEPT MAP CONNECTIONS Quadratic Equations Quadratic Inequalities
Scientific Notation
Growth and Decay

6. IDENTIFY PRIOR EXPERIENCES OR MISCONCEPTIONS
Would you rather have a penny doubled everyday for a month or a million dollars?
52 commonly mistaken for 5 times 2

7. BRAINSTORM ACTIVITIES
Penny doubled for month
Alice in Wonderland Project
Show Exponential Growth Movie Clip

8. LESSON
OBJECTIVE
Students will be able to write and simplify expressions involving exponents.

9. Whiteboard Markers Erasers Text Overhead Projector
MATERIALS
Whiteboard
Markers
Erasers
Text
Overhead Projector
Pencils
Paper
Roll of Pennies

10. PROCEDURES
Hook
Which would you choose at the end of the month, a million dollars or a penny doubled everyday for a month? Why?
Check Vocabulary Understanding
Power of a number, Base, Exponent, Squared, Cubed
bn = b  b  b……..  b (n times)
 b is the base and n is the exponent or number of factors

11. ADVANCE ORGANIZER Rules for Exponents Products of Powers
23  22 = 23+2 = 25
Power of a Product
(2  3)2 = 22  32 = 4  9 = 36
Quotients of Powers
23 = = 21 = 2 22
Power of a Quotient
(2/3)2 = 22/32 = 4/9
Power of a Power
(23)2 = 2 32 = 2 6

12. ADVANCE ORGANIZER Exponents Simplify: 4x5y7 + 2x4y4 x2y2
Rational Expressions with
Monomials and Polynomials
in numerators and denominators
Simplify:
4x5y7 + 2x4y4
x2y2

13. PROCEDURES Teacher Talk Show Graphic Organizer A
Ex. 73 = 7  7  7 = 343
Ex. a  a  b  5  b  b  a = 5a2b3
Show Graphic Organizer B
Draw a square and cube to explain where the terms squared and cubed come from.

14. ADVANCE ORGANIZER GRAPHIC ORGANIZER A 21 = 2 22 = 2  2 23 = 2  2  2
24 = 2  2  2  2

15. (-2)4 = (-2) (-2) (-2) (-2) = 16 -24 = -(2  2  2  2) = -16
GRAPHIC ORGANIZER B
(-2)4 = (-2) (-2) (-2) (-2) = 16
-24 = -(2  2  2  2) = -16

16. PROCEDURES Guided Practice
Ex. a  3  a  a  2  a = 2  3  a4 = 6a4
Ex. (–4)3 = -4  -4  -4 = -64
Error Check 53 = 15

17. n  y  y  n = n2 y2 - r  r = - r2 25 = 2  2  2  2  2
Independent Practice
n  y  y  n = n2 y2
- r  r = - r2
25 = 2  2  2  2  2

18. CLOSURE
Students to summarize today’s lesson in notebooks and then share with partner.

19. INSTRUCTIONAL STRAGEGIES
Direct Instruction
Graphic Organizers
Modeling & Monitoring
Guided Practice
Independent Practice
Exploring Student Error

20. Whiteboards Questioning Homework Quiz/Exam
ASSESSMENT
Whiteboards
Questioning
Homework
Quiz/Exam