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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

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exponents

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

CONCEPT MAP

PRIOR KNOWLEDGE

Order of Operations

Integers

Factors

Simplifying Expressions

concept map1

CONCEPT MAP

ESSENTIAL ELEMENTS

Basic Vocabulary

Power

Base

Exponent

Writing Expressions in Exponential Form

concept map2

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 map3

CONCEPT MAP

CONNECTIONS

Quadratic Equations

Quadratic Inequalities

Scientific Notation

Growth and Decay

identify prior experiences or misconceptions

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

BRAINSTORM ACTIVITIES

Penny doubled for month

Alice in Wonderland Project

Show Exponential Growth Movie Clip

lesson

LESSON

OBJECTIVE

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

materials

MATERIALS

Whiteboard

Markers

Erasers

Text

Overhead Projector

Pencils

Paper

Roll of Pennies

procedures

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

advance organizer1

ADVANCE ORGANIZER

Exponents

Rational Expressions with

Monomials and Polynomials

in numerators and denominators

Simplify:

4x5y7 + 2x4y4

x2y2

procedures1

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.

advance organizer2

ADVANCE ORGANIZER

GRAPHIC ORGANIZER A

21 = 2

22 = 2  2

23 =2  2  2

24 = 2  2  2  2

graphic organizer b

GRAPHIC ORGANIZER B

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

-24 = -(2  2  2  2) = -16

procedures2

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

Independent Practice

n  y  y  n = n2 y2

- r  r = - r2

25 = 2  2  2  2  2

closure

CLOSURE

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

instructional stragegies

INSTRUCTIONAL STRAGEGIES

Direct Instruction

Graphic Organizers

Modeling & Monitoring

Guided Practice

Independent Practice

Exploring Student Error

assessment

ASSESSMENT

Whiteboards

Questioning

Homework

Quiz/Exam

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