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# EXPONENTS - PowerPoint PPT Presentation

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). CONCEPT MAP. PRIOR KNOWLEDGE Order of Operations

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## PowerPoint Slideshow about 'EXPONENTS' - Audrey

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### 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)

### CONCEPT MAP

PRIOR KNOWLEDGE

Order of Operations

Integers

Factors

Simplifying Expressions

### CONCEPT MAP

ESSENTIAL ELEMENTS

Basic Vocabulary

Power

Base

Exponent

Writing Expressions in Exponential Form

### 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

### CONCEPT MAP

CONNECTIONS

Scientific Notation

Growth 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

OBJECTIVE

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

Whiteboard

Markers

Erasers

Text

Pencils

Paper

Roll of Pennies

### 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

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 B

Draw a square and cube to explain where the terms squared and cubed come from.

GRAPHIC ORGANIZER A

21 = 2

22 = 2  2

23 =2  2  2

24 = 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 = -64

Error 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 Instruction

Graphic Organizers

Modeling & Monitoring

Guided Practice

Independent Practice

Exploring Student Error

Whiteboards

Questioning

Homework

Quiz/Exam