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J Bryan Rees

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Simplified Lesson Plan



Subject:  Algebra II                                                                  Date:  10/30/03

Grade(s):  10 & 11                                                                   Period/Block:  3

Teacher:  Jason Rees                                                           Number of Students:  15



Lesson Topic:  Review of functions, composition of functions, and

                         inverses of functions



SOL Objective(s) Targeted:  AII.9  The student will find the domain,  

                                                range, and inverse of a function, the   

                                               value of a function for a given element in

                                               its domain, and the composition of

                                               multiple functions.  Functions will

                                               include those that have domains that are

                                               limited and/or discontinuous.  The

                                               graphing calculator will be used as a tool

                                               to assist in investigation of functions,

                                               including exponential and logarithmic. 



Unit Title:   Unit 7:  Functions (Domain, Range, Inverses,





Unit Goals Addressed:



A.  See Student Objectives.



Rationale for the Lesson: 


A.     Students have studied the translation of functions in their last unit;  this unit is directed toward giving the students a deeper understanding of what functions are and what properties they have.


B.     This lesson serves as a review of this units lessons in preparation for tomorrows test.


C.     Understanding functions (what they are and what properties they have) serves as the foundation for all subsequent mathematics courses (for example, many of the students will continue on to study the Calculus, which is basically the study of two particular functions:  the limit and integral functions.




Student Objectives:



A.  Define function, relation, domain, and range.


B.     State the domain and range of a particular function given algebraically and graphically.


C.     Compose multiple functions.


D.     Solve a composite function for a given value of its range.


E.      Find the inverse of a relation and a function.


F.      Describe how the graph of a function and the graph of its inverse relate to one another.


G.     Determine whether or not a given graph represents a function.


Assessment/Learner Outcomes:


 A.  Formal:  Homework Quiz, Check entirety of review sheet

                      when completed.


 B:  Informal:  Diagnostic questions asked throughout lesson,

                         circulating and reviewing responses/group 

                         cooperation, and group review game.



A.     Student Materials:  paper, pencil, textbooks


B.     Teacher Materials:  Smart board, review handout, homework handout, sponges/quizzles, and candy





Entry:       Homework Quiz.


             Phase I:    Homework review (as an entire class).  In this

                               portion of the lesson any questions from the

                               previous nights homework will be addressed.



             Phase II:   Students will break into pairs/small groups and

                                work together on a review handout.


             Phase III:  Review game:  students, in their groups, will be

                                asked questions directly off their review handout. 

                               They must then, as a group, form a consensus about

                               the answer and all raise their hands.  When every

                               student in the group has their hand raised, I will

                               call on one of them randomly, ask the question, and

                               then require the student to explain how they arrived

                               at their answer (where appropriate).  This group

                               review game will function both as a review and as

                               an informal assessment.


            Closure:  Exit slip (write a paragraph about how you feel about

                            or what you learned during this past week).



Differentiated Instruction:  images on overhead projector, cooperative

                                              learning groups