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)

Simplifying Expressions 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 Quadratic Equations Quadratic Inequalities 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 Overhead Projector MATERIALS Whiteboard Markers Erasers Text Overhead Projector 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

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 = 23-2 = 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

ADVANCE ORGANIZER Exponents Simplify: 4x5y7 + 2x4y4 x2y2 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.

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

(-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

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

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

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 ASSESSMENT Whiteboards Questioning Homework Quiz/Exam