Precalculus 4A

06-01-09                 SECOND SEMESTER EXAM




05-29-09                 Review of the mid-term material.

                         Homework  : work on the review problems of the tests
                                     and quizzes of the second semester.


                           EXAM :    06/01/09




05-27-09                      Section 4.8:"Exponential growth and Decay;
                                   Newton's Law; Logistic Models"

                     OBJECTIVES  : - Find equations of populations that obey 
                                     the law of unhibited growth.
                       
                                   - Find eqautions of populations that obey
                                     the law of decay.

                                   - Use Newton's law of cooling.

                                   - Use logistic models.

                     Class work  : pg.305- #1,3,5,7,13.

                     Homework    : pg.305- #2,4,8,14-20(all)





05-20-09                     Section 4.7: " Compound Interest".
                 
                     OBJECTIVES  : - Determine the future value of a lump 
                     sum of money.
                    
                                   - Calculate effective rates of return.

                                   - Determine the present value of a lump
                     sum of money.

                                   - Detremine the time required to double or 
                     triple a lump sum of money.

                     Class work   : pg.294- #3,11,13,23,25,31.

                     Homework     : pg.294/296 - #4,8,10,14,18,20,24,26,30
                                                  32,36,42.

                     P.S. : due to the missed class on 05/18/09
                            QUIZ 4.5-4.6 has to be taken at DL.



05-15-09             Section 4.6:"Logarithmic and Exponential equations".

                     OBJECTIVES : - Solve logarithmic equations using 
                     properties of logarithms,

                                  - Solve exponential equations.

                                  - Solve logarithmic and exponential 
                                  equations using graphing utility.

                     Class work  : homework problems #34,36,38,40.

                     Homework    : review sections 4.5-4.6.


                             QUIZ ON SECTION 4.5.4.6 :   05/20/09




05-13-09             Section 4.6:"Logarithmic and Exponential equations".

                     OBJECTIVES : - Solve logarithmic equations using 
                     properties of logarithms,

                                  - Solve exponential equations.

                                  - Solve logarithmic and exponential 
                                  equations using graphing utility.

                     Class work  : pg. 286- #31-37(odd),41.

                     Homework    : pg.286- #32-40(even),39,42-44(all).





05-11-09             Section 4.6:"Logarithmic and Exponential equations".

                     OBJECTIVES : - Solve logarithmic equations using 
                     properties of logarithms,

                                  - Solve exponential equations.

                                  - Solve logarithmic and exponential 
                                  equations using graphing utility.

                     Class work  : pg. 286- #1-11(odd).

                     Homework    : pg.286- #2-12(even).



05-06-09             Section 4.6:"Logarithmic and Exponential equations".

                     OBJECTIVES : - Solve logarithmic equations using 
                     properties of logarithms,

                                  - Solve exponential equations.

                                  - Solve logarithmic and exponential 
                                  equations using graphing utility.

                     Class work  : pg. 286- #13-29)odd).

                     Homework    : pg.286- #14,16,17-30(all),39.




05-04-09             Section 4.5:"Properties of logarithms".

                     OBJECTIVES : - Work with the properties of logarithms.
                                 
                                  - Write  alogarithmic expression as a sum
                                    or difference of logarithms.

                                  - Write a logarithmic expression as a
                                    single logarithm.

                                  - Evaluate logarithms whose base is neither
                                    10 nor e.

                     Class work : due to the difficulties students had with 
                                  the homework assignment the masterial was
                                  reviewed.
                                  
                                  pg.317- #39-50(all).

                     Homework   : pg.317/318- #33-38(all),51,52,65-74(all).




05-01-09             Section 4.5:"Properties of logarithms".

                     OBJECTIVES : - Work with the properties of logarithms.
                                 
                                  - Write  alogarithmic expression as a sum
                                    or difference of logarithms.

                                  - Write a logarithmic expression as a
                                    single logarithm.

                                  - Evaluate logarithms whose base is neither
                                    10 nor e.

                     Class work : pg.281- #51-57(odd), 65-71(odd).

                     Homework   : pg.281- #59-64(all),66-72(even).




04-29-09             Section 4.5:"Properties of logarithms".

                     OBJECTIVES : - Work with the properties of logarithms.
                                 
                                  - Write  alogarithmic expression as a sum
                                    or difference of logarithms.

                                  - Write a logarithmic expression as a
                                    single logarithm.

                                  - Evaluate logarithms whose base is neither
                                    10 nor e.

                     Class work : pg.281- #7-49(odd).

                     Homework   : pg.281- #24-50(even).





04-27-09             QUIZ ON SECTION 4.3-4.4

                     NO HOMEWOK





                          QUIZ ON SECTION 4.3-4.4:    04/27/09




04-20-09             Section 4.4:"Logarithmic functions".

                     OBJECTIVES : - Change exponential expressions to 
                                    logarithmic expressions.

                                  - Change logarithmic expressions to
                                    exponential expressions.

                                  - Evaluate logarithmic functions.

                                  - Determine the domain of logarithmic
                                    function.

                                  - Solve logarithmic equations.

                    Class work   : pg.269/270- #57,59,91-109(odd).

                    Homework     : pg.269/270- # 58,60,92-110(even).

                          QUIZ ON SECTION 4.3-4.4:    04/27/09




04-03-09             Due to the absence of most of the students, the coverage
                     of the material is rescheduled after the Spring Break.

                            SPRING BREAK :     04/06/09 - 04/17/09




04-01-09             Section 4.4:"Logarithmic functions".

                     OBJECTIVES : - Change exponential expressions to 
                                    logarithmic expressions.

                                  - Change logarithmic expressions to
                                    exponential expressions.

                                  - Evaluate logarithmic functions.

                                  - Determine the domain of logarithmic
                                    function.

                                  - Solve logarithmic equations.

                    Class work   : pg.269/270- #9-55(odd).

                    Homework     : pg.269/270- # 10-56(even); skip #54.




03-30-09             Chapter 4:"Exponential and Logarithmic Functions".

                     Section 4.3:"Exponential functions"

                     OBJECTIVES:  - Evaluate exponential functions.

                                  - Graph exponential functions.

                                  - Define the number e.

                                  - Solve exponential equations.

                     Class work : pg.257- #53-69(odd), 75.

                     Homework   : pg.257- #54-70(even).



03-25-09             TEST ON CHAPTER 7

                     NO HOMEWORK



03-23-09             QUIZ ON SECTION 7.3-7.4

                     NO HOMEWORK

                     TEST ON CHAPTER 7 :  03/25/09




03-20-09             Section 7.3:"Law of Cosines".
                    
                     OBJECTIVES : - Solve SAS triangles

                                  - Solve SSS triangles
                          
                                  - Solve applied problems
                      Section 7.4:" Area of a triangle ".

                     OBJECTIVES  : - Find the area of  SAS triangles.

                                   - Find the area of SSS triangles.


                     Class work : pg.510/511- #9,15,21,25,27,35,37.

                     Homework   : pg.510/511- #10,16,20-28(even);
                                  pg.516- #14,16,20,22.

                          QUIZ ON SECTION 7.3-7.4 :   09/23/09


                    



03-18-09             QUIZ ON SECTION 7.1-7.2

                     NO HOMEWORK



03-16-09             Section 7.2:"The law of Sines"

                     OBJECTIVES: - Solve SAA or ASA triangles.

                                 - Solve SSA triangles.

                                 - Solve applied problems.

                     Class work : pg.529- #18,22,28,31.

                     Homework   :  review -  pg.490- #9-42;
                                   
                                             pg.502- #9-36
                                   Concepts and Vocabulary.

                          QUIZ ON SECTION 7.1-7.2 :  03/18/09


03-11-09             Section 7.2:"The law of Sines"

                     OBJECTIVES: - Solve SAA or ASA triangles.

                                 - Solve SSA triangles.

                                 - Solve applied problems.

                     Class work : The Ambiguous case
                                  pg.503- #25,31,32,33.

                     Homework   : pg.502/503- #26-36(even).




03-09-09             Section 7.2:"The law of Sines"

                     OBJECTIVES: - Solve SAA or ASA triangles.

                                 - Solve SSA triangles.

                                 - Solve applied problems.

                     Class work : pg.502/503- #9,13,15,19,23,37,39.

                     Homework   : pg.502/503- #12,14,16,20,22,24,42,45,48.




03-06-09               Chapter 7:"Applications of trigonometric functions"

                       Section 7.1:" Right triangle trigonometry".

                       OBJECTIVES : - Find the value of trigonometric
                                       functions of acute angles.

                                    - Use the complimentary angle theorem.

                                    - Solve right triangles.

                                    - Solve applied problems.

                      Class work  : pg.491- #9,13,15,17,19-27(odd),29,33,39.

                      Homework    : pg. 491- #10-28(even),36,
                                              38,40,42.





03-04-09              TEST ON SECTION 6.5-6.6

                      NO HOMEWOK




03-02-09              Section 6.5-6.6 review

                      Class work : pg.4555- #12,15,23,26; pg.459- #9,17,26,36

                      Homework   : use the notes of class work and homework
                                   to study for the test.

                            TEST ON SECTION 6.5-6.6 :   03/04/09



02-25-09                Section 6.6:"Product-to-sum and sum-to-product       
                                     formulas".

                       OBJECTIVES:  - Express products as sums.
                              
                                    - Express sums as products

                       Class work : pg.459/460- #19,21,23,25,29,31,35.
                                                 

                       Homework   : pg.459/460- # 22,24,26,30,32,34,36.

                            TEST ON SECTION 6.5-6.6:   03/04/09



     


02-23-09                Section 6.6:"Product-to-sum and sum-to-product       
                                     formulas".

                       OBJECTIVES:  - Express products as sums.
                              
                                    - Express sums as products

                       Class work : pg.459/460- #1-17(odd).
                                                 

                       Homework   : pg.459/460- # #2-18(even).




02-20-09                 Section 6.5:"Double-angle and half-angle formulas".

                         Objectives:  - Use double-angle formulas to find
                                        exact values.

                                      - Use double-angle and half-angle 
                                        formulas to extablish identities.

                                      - Use half-angle formulas to find
                                        exact values.

                         Class work : homework problems #22,26,28.

                         Homework   : pg.455/456- #36,42,46,48,50,52.





02-18-09                 Section 6.5:"Double-angle and half-angle formulas".

                         Objectives:  - Use double-angle formulas to find
                                        exact values.

                                      - Use double-angle and half-angle 
                                        formulas to extablish identities.

                                      - Use half-angle formulas to find
                                        exact values.

                         Class work : pg.455/456 - #19-27(odd)

                         Homework   : pg.455- #13,15, 20-28(even).
                                     



02-16-09                 Section 6.5:"Double-angle and half-angle formulas".

                         Objectives:  - Use double-angle formulas to find
                                        exact values.

                                      - Use double-angle and half-angle 
                                        formulas to extablish identities.

                                      - Use half-angle formulas to find
                                        exact values.

                         Class work : pg.455/456 - #7,11,17,57,61,63,67

                         Homework   : pg.455- #10-18(even);
                                      pg.456- #58-68(even); except #66.




02-11-09                TEST ON SECTION 6.1-6.4 

                        NO HOMEWORK



02-09-09                 Section 6.2-6.4 review.

                         Class work :  pg.446- homework problems #70,74,76.

                                       pg.429- #11,23,32,42,43,50.


                                       pg.445- #17,22,35.


                         Homework   : pg.477- #1-37( optional).       


                           TEST ON SECTION 6.2-6.4:  02/11/09 



02-06-09                 Section 6.4:"Difference and Sum formulas".
                        
                         Objectives : - Use Sum and Difference Formulas to 
                                        find the exact values.

                                      - Use the Sum and Difference Formulas 
                                        to establish identities.

                                      - Use sum and Difference Formulas
                                        involving inverse trigonometric 
                                        functions.


                         Class work : pg.446- #37,39,41,47,51,53,65,67.

                         Homework   : pg.446- #38-54(even), 66,70,74,76.

                               TEST ON SECTION 6.2-6.4:    02/11/09




02-04-09                 Section 6.4:"Difference and Sum formulas".

                         Class work : pg.446- #31.

                         Homework   : pg.446- #33,35.

                               TEST ON SECTIOBN 6.2-6.4:   02/11/09




02-02-09                 Section 6.4:"Difference and Sum formulas".

                         Class work : pg.445- #9-29(odd).

                         Homework   : pg.445/446- #10-30(even).




01-28-09                Chapter 6:"Analytical Trigonometry"

                        Section 6.3:" Trigonometric Identities"

                        Class work : pg.436- #34-39(all).

                        Homework   : pg.436- #40,42,44,50,54,56,58.




01-26-09                Chapter 6:"Analytical Trigonometry"

                        Section 6.3:" Trigonometric Identities"

                        Class work : pg.436- #19-27(all),29,31,33.

                        Homework   : pg.436- #28-39 (all).

                    





    01-23-09                 QUIZ ON SECTION 6.1-6.4

                         NO HOMEWORK




01-21-09                Chapter 6:"Analytical Trigonometry"

                        Section 6.2:" Inverse of Trigonometric functions".
                                      (continue)

                        Class work : pg.477- #1-20(all)

                        Homework   : review pg.423- concepts+ vocab
                                                  - #13-56 (all)-
                                     review pg. 429- concepts+ vocab
                                                   - #9-56-

                            QUIZ ON SECTION 6.1-6.2:   01/23/09




01-19-09                Chapter 6:"Analytic Trigonometry"

                        Section 6.2:" Inverse of Trigonometric functions".
                                      (continue)

                        Class work : pg.429- #21-55(odd).

                        Homework   : pg.429- #22-56(even)

                          QUIZ ON SECTION 6.1-6.2:   01/23/09




01-14-09                Chapter 6:"Analytical Trigonometry"

                        Section 6.2:" Inverse of Trigonometric functions".
                                      (continue)

                        Class work : pg.423- #37-57(odd);pg.429- #9-19(odd).

                        Homework   : pg.423- #38- 56(even)

                                     pg.429- #10-20(even)



01-12-09                Chapter 6:"Analytical Trigonometry"

                        Section 6.1:" Inverse of Trigonometric functions".

                        Class work : pg.423- #13-35(odd)

                        Homework   : pg.423- #14-36(even)




01-07-09                 SEMESTER EXAM




01-05-09                Semester exam preparation

                        Homework   : study for the semester exam.
    
                         SEMESTER EXAM :      01/07/09

                         DIRECTED LEARNING:   01/06/09



12-19-08              Semester exam material review

                      Homework  : study for the exam

                        SEMESTER EXAM :   01/07/09



12-17-08              TEST ON CHAPTER 5

                      NO HOMEWORK

                      SEMESTER EXAM :   01/07/09
                                                  



12-15-08              Chapter 5 review

                      Class work : pg.367/368- #59-88(all).

                      Homework   : pg.408- #1-46(all).

                          TEST ON CHAPTER 5:   12/17/08


              

12-10-08              Section 5.3:"Proprties of trigonometric functions".
    
                      Class work : pg.367- #43,45,47,51,59-87(odd)


                      Homework   : pg.367/368- #44-88(even).

                          TEST ON CHAPTER 5:   12/17/08




12-08-08              Section 5.3:"Proprties of trigonometric functions".
    
                      Class work : pg.367- #11-41(odd).

                      Homework   : pg.367/368- #12-42(even).

                        TEST ON CHAPTER 5:   12/17/08





12-05-08              Section 5.3:"Proprties of trigonometric functions".
    
                      Class work : pg.367- #11-33(odd), 59-75(odd).

                      Homework   : pg.367/368- #12-34(even),60-76(even).

             




12-03-08              QUIZ ON SECTION 5.1-5.2

                      NO HOMEWORK



12-01-08              Section 5.2:"Trigonometric functions:unit circle
                                   approach".
                      Class work : review on section 5.1-5.2: pg.335,352.

                      Homework   : Concepts & vocab 5.1-5.2
                                  pg.408- #1-20(all).

                            QUIZ ON SECTION 5.1-5.2:     12/03/08



11-24-08              Section 5.2:"Trigonometric functions:unit circle
                                   approach".
                      Class work : pg.353- #29-47(odd),49,53,57,63,67,
                                   71,75,81,83.

                      Homework   : Concepts & vocab 5.1-5.2
                                  pg.353-#30-48(even),52,56,62,66,68-82(even)
                                          86,91.




11-19-08              Section 5.2:"Trigonometric functions:unit circle
                                   approach".

                      Class work : pg.352- #13,17,19-27(odd).

                      Homework   : pg.352- #12-48(even).Concepts & vocab.





11-17-08              Chapter 5:"Trigonometric Functions".

                      Section 5.1:"Arc length and the area of a sector".

                      Class work : pg.335- #29-89(odd).

                      Homework   : pg.335-# 60-90(even).



11-14-08              Chapter 5:"Trigonometric Functions".

                      Section 5.1:"Angles and their measures".

                      Class work : pg.335- #11,13,15,19,21,23,37,39,45.

                      Homework   : pg.335-#12-28(even),30-58(even).




11-12-08              TEST ON SECTION 2.4-2.6

                      NO HOMEWORK




11-10-08              Section 2.4-2.6 review

                      Class work : going over the quiz errors.

                      Homework   : pg.90/91- #27-38,41-44;pg.104/105- #19-30,
                                   #35-61;pg.112- #1-23.


                          TEST ON SECTION 2.4-2.6:    11/12/08




11-03-08              Section 2.4-2.6 review

                      Class work : going over the quiz errors.

                      Homework   : pg.90/91- #41-44;pg.104/105-#35-61; 
                                   pg.11- #9-12

                            QUIZ ON SECTION 2.4-2.6:  11/05/08



10-31-08              Section 2.6:"Mathematical models".

                      Class work : pg.112/113- #1,2,3,5,18,19.

                      Homework   : pg.112- #4,6,20-29(all).




10-29-08          Section 2.5:"Graphing techniques".

                  Class work : review the homework problems by asking every 
                               student how to apply the transformation.

                  Homework   : pg.119- #51-62(all).




10-27-08          Section 2.5:"Graphing techniques".

                  Class work : pg.94/97- pg.105- #41,43,45.

                  Homework:    pg.105- #42-61(all).



                            


10-22-08          Section 2.5:"Graphing techniques".

                  Class work : pg.94/97- examples#1-5;pg.105-#35,41.

                  Homework:    pg.104/105- #19-30(all),35-42(all).



10-20-08          Section 2.4:"Library of functions".

                  Class work : pg.90/91- #9-16(all),17-25(all),29-33(odd).

                  Homework   : pg.91- #26,30-38(even).




10-17-08          TEST ON SECTION 2.1-2.3

                  NO HOMEWORK




10-13-08          Review on section 2.1-2.3

                  Class work : working on the quiz problems.

                 
                  Homework   : review pg.61/62- #35-60,73-84;pg.69/70- #23-28
                                      pg.80/81- #11-32,35-58.


                           TEST ON SECTION 2.1-2.3:     10/17/08




10-08-08          QUIZ ON SECTION 2.1-2.3
             
                  NO HOMEWORK




10-06-08         Section 2.3:"Average rate of change".

                 Class work : pg.81- #39,41,43,45.

                 Homework   : pg.118- #3,5,9-15(odd),21,23,25,27,29-35(odd)
                                       41.


                         QUIZ ON SECTION :    10/08/08




10-03-08         Section 2.3:"Average rate of change".

                 Class work : pg.80/81-#41,43;homework problems #24,26,28,57.

                 Homework   : pg.80/81- #35-46(all).


                       QUIZ ON SECTION :    10/08/08





10-01-08         Section 2.3:"Average rate of change".

                 Class work : pg.80/81-#11-20(all)21,33,47-54(all).

                 Homework   : pg.80/81- #22-32(all),34,55-58(all).


                       QUIZ ON SECTION :    10/08/08





09-29-08          Section 2.2:"The graph of a function".

                  Class work : pg.69/70- #23,25,27,29.

                  Homework   : pg.69/70- #24-28(even).




09-24-08          Section 2.2:"The graph of a function".

                  Class work : pg.69/70- #11-21(odd).

                  Homework   : pg.69/70- #9,10,12-22(even).



09-22-08          Chapter 2:"Functions and their graphs".

                  Section 2.1:"Functions and their graphs".

                  Class work : pg.61-#15,19,27,41,47,49,51,55,57,73,77.

                  Homework   : pg.61/63- #34,36-46(even),48-60(even),66,
                                          72,78,80,82.

                 




09-19-08           TEST ON CHAPTER I.

                   NO HOMEWORK.




09-17-08           Chapter I review

                   Class work  : pg.36-#104-108,113,114,117,118,121.

                   Homework : study for the test.


                         TEST ON CHAPTER I :    09/19/08




09-15-08           Section 1.3:" Lines".

                   Class work : pg.34/37- #25,27,29,35,37,43,45,49,51,53,
                                55,59,61,63,67.

                 
                   Homework   : pg.34/37- #24,28,30,44,46,48,50,52,56,
                                58,62,64.

                   

                          TEST ON CHAPTER I:    09/19/08




09-10-08            QUIZ ON SECTION 1.1-1.2

                    Homework : pg.46/47- #1-45 (odd)

                         TEST ON CHAPTER I:   09/17/08




09-08-08           Section 1.2: "Graphs of equations;Circles".

                   Class work : pg.21- #77,79,85,87.

                   Homework   : pg.21- #78-94(even).

                         QUIZ ON SECTION 1.1-1.2:    09/08/08



09-05-08           Section 1.2: "Graphs of equations;Circles".

                   Class work : pg.21- #61,63,67,73,79,81.

                   Homework   : pg.21- #62,64,68-76(all),77-80(all).




09-03-08           Section 1.2: "Graphs of equations;Circles".

                   Class work : pg.20- #19-25(odd),31,35,41,47,49.

                   Homework   : pg.20- #20-26(even),34,36,44-52(all).



08-29-08          TEST ON ALGEBRA II

                  Homework :   pg.7/8- #24,26,28,30-34even),46,48,50,52,54
                                          59,60,61,64. 



08-27-08            Chapter I:"Graphs"
            
                    Section 1.1:"Rectangular coordinates".
         
                    Class work : pg.7/8- #15,19,25,27,29,33,35,37,39,47,59,61

                    Homework :   pg.7/8- #24,26,28,30-34(even),46,48,50,52,54
                                          59,60,61,64.

            
                          TEST ON ALGEBRAII REVIEW:     08/29/08