Name: James Edward Sattiewhite

Subject: Algebra 2

Date:  10/26/06

Grade:   Various

Time: 5^th

School: Alief Hastings High School

District:  Alief I.S.D

Ø      Domain (TEXES): (2A.11) Exponential and logarithmic functions. The student formulates equations and inequalities based on exponential and logarithmic functions, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation.

o       (D)  Determine solutions of exponential and logarithmic equations using graphs, tables, and algebraic methods.

Ø      Standards: 

Mathematics Standard II.

Patterns and Algebra: The mathematics teacher understands and uses patterns, relations, functions, algebraic reasoning, analysis, and technology appropriate to teach the statewide curriculum (Texas Essential Knowledge and Skills [TEKS]) in order to prepare students to use mathematics. 

        *2.25s: Describe exponential, logarithmic, and logistic functions algebraically and graphically, analyze their algebraic and graphical properties, and use these to model and solve problems using a variety of methods, including technology.

Ø      Competency (ies):

·        Competency 008: The teacher understands exponential and logarithmic functions, analyzes their algebraic and graphical properties, and uses them to model and solve problems.

Ø      Technology Strands: Overhead Projector, Transparencies, Vis-à-vis,

Ø      Purpose:  Can be used to graph depreciation of a car, home, stock, etc. Can be used to depict exponential growth of an account, savings, collectibles, etc.

Ø      Focus/Introduction:  Engage prior knowledge using warm up activity covering previous concepts of identifying growth and decay, and graphing exponential growth and decay.

Ø      Learner Expectations/Outcomes:  Students will be able to graph exponential growth and decay, find the y-intercepts and growth rate.

·        Vocabulary: y-intercept, exponential growth, exponential decay.

Ø      Instructional Input: 

a.       Modeling: The teacher will model how to graph exponential growth and exponential decay on overhead projector.

b.      Checking For Understanding:  Students will receive review questions to assess understanding.

c.       Reteaching:  Teacher will do a final review, with examples, on previously discussed concepts of percent change, exponential expressions, and growth/decay factor.

d.      Guided Practice: Completion of graphing exponential growths and decays worksheet.

e.       Independent Practice:  Student will receive, and be expected to complete work in the textbook, pages 110-111, problems 1-7, 11-14.

f.        Closing:  Teacher will begin section on exponential word problems.

g.      Closing Questions: 

                                     i.      What can exponential graphs be used to represent?

                                   ii.      How can knowing growth rate of an exponential help to predict the value of an item after a certain amount of time?