EXPONENTS

MATCHBOOK OBJECTIVEStudents 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)

CONCEPT MAP

PRIOR KNOWLEDGEOrder of Operations

IntegersFactors

Simplifying Expressions

CONCEPT MAP

ESSENTIAL ELEMENTSBasic Vocabulary

PowerBaseExponent

Writing Expressions in Exponential Form

CONCEPT MAP

ESSENTIAL ELEMENTS (continued)Rules of Exponents

Products of PowersQuotients of PowersPower of a PowerPower of a ProductPower of a Quotient

CONCEPT MAP

CONNECTIONSQuadratic Equations Quadratic InequalitiesScientific NotationGrowth and Decay

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

BRAINSTORM ACTIVITIES

•Penny doubled for month•Alice in Wonderland Project•Show Exponential Growth Movie Clip

LESSON

OBJECTIVEStudents will be able to write

and simplify expressions involving exponents.

MATERIALS

WhiteboardMarkersErasersTextOverhead Projector

PencilsPaperRoll of Pennies

PROCEDURES

HookWhich 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

ADVANCE ORGANIZERRules for

Exponents

Quotients of Powers23 = 23-2 = 21 = 2

22

Products of Powers

23 22 = 23+2 = 25

Power of a Power(23)2 = 2 32 = 2 6

Power of a Product(2 3)2 = 22 32 = 4 9 =

36

Power of a Quotient(2/3)2 = 22/32 = 4/9

ADVANCE ORGANIZER

Exponents

Rational Expressions with Monomials and Polynomials

in numerators and denominators

Simplify:4x5y7 + 2x4y4

x2y2

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 BDraw a square and cube to

explain where the terms squared and cubed come from.

ADVANCE ORGANIZER

GRAPHIC ORGANIZER A21 = 2 22 = 2 223 = 2 2 224 = 2 2 2 2

GRAPHIC ORGANIZER B

(-2)4 = (-2) (-2) (-2) (-2) = 16-24 = -(2 2 2 2) = -16

PROCEDURES

Guided Practice Ex. a 3 a a 2 a = 2 3 a4 = 6a4

Ex. (–4)3 = -4 -4 -4 = -64Error Check 53 = 15

Independent Practice

n y y n = n2 y2

- r r = - r2

25 = 2 2 2 2 2

CLOSURE

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

INSTRUCTIONAL STRAGEGIES

Direct InstructionGraphic OrganizersModeling & MonitoringGuided PracticeIndependent PracticeExploring Student Error

ASSESSMENT

WhiteboardsQuestioningHomeworkQuiz/Exam