Pre-calculus Honors and Standard



Lyn Davies
2009-2010

Room B217
Office Hours:  1:45-2:45 M-F
E_mail:    lyn_davies@dpsk12.org
Phone:        (720) 424-1700

Honors and Standard Level Differentiation
Period 1 (course# 04351); Period 2 (course# 04359)

As of 8/14/09, both levels of the course will be offered to everyone.  Students will be expected to commit to Honors or Standard level within the first two weeks of school.  Once a student is designated as Standard or Honors, there will be no option to change until the following semester.

Honors requirements:

   
1)  Honors students will have a substantially heavier homework burden.  This does not necessarily mean more problems in number but problems with deeper understanding required at the interpretive and applied levels.
    2)  Honors students will have more difficult assessments.
    3)  Honors students will be expected to present solutions to higher level problems.  These problems will always be identified, but presenters may not be pre-assigned.  In other words, honors students must always be prepared.

The link below offers a very general guideline for the course as posted by the district last school year.  Currently, there is no district assessment or standard alignment for 2009-2010.  Please check back for updated information soon.

Daily Class Log


Friday 11/20/09
    Obj: 
Students will learn about inverse sign.
    HW:  Due after Thanksgiving break both levels p.421 #1-20, 23-32 Honors additionally do #41-46
             TEST REVIEW:  suggested problems p.439+ #1-7 odd, 13, 23, 30, 33, 34, 41, 46, 51, 56, 63, 79.
             TEST  TUESDAY will include sections 1-5 only.  Not section 7. 

Wednesday 11/18/09
    Obj:
Students will look at csc, sec, tan and cot graphs.
    Due Friday: p.402 #17-39 odd
             UNIT TEST next TUESDAY

Monday & Tuesday 11/16-11/17/09
    Obj:
Students will fit sinusoidal curves to given situations and solve problems.
          HW due for section 4.4

Friday 11/13/09
    Obj:
Students will explore sinusoidal graphs and transformations.
    Due Tuesday: Everyone p.392-393 #3-54 multiples of 3, #72-75 pick 3; Honors: p.394 #77-80 in addition to standard assignment.

Tuesday 11/10/09
    Obj:
Students will bridge the unit circle to sinusoidal wave graphs.
         Due Friday: p.385 Exploration #1

Monday 11/09/09
    Section 3 clean up (Homework due tomorrow)
   
We will move on tomorrow.

Tuesday 11/03/09-Friday 11/06/09
    Obj:
Students will teach and learn fundamental circular trigonometry vocabulary and coterminal angle calculations.
    TEAM write-ups due Friday
    Due Tuesday 11/10/09 (change from before): Standard: pp.381-383 #8-60 multiples of 4.  Honors: p.382-383 #60, 67-78 all.
   

Monday 11/02/09
    Obj:
Students will begin working on team teaching assignments for unit circle foundation.
    Teaching assignments made and timeline given.
    Due Monday 11/9:
Standard: pp.381-383 #8-60 multiples of 4.  Honors: p.382-383 #60, 67-78 all.

Monday-Tuesday 10/26/09 thru 10/27/09
    Obj:
Students will solve right triangles using the six trigonometric functions.
    Due 11/02: Standard: pp.366-369 #3-66 triples (skip 60 and do 61 instead)
                      Honors: pp.366-369 #3-66 triples; #75-78

Friday 10/23/09
    Obj:
Students will learn about concentric circles
        HW collected for section 1 chapter 4

Wednesday 10/21/09
    Obj:
Students will learn about angular and linear motion.
    See Monday 10/19 for assignment

Tuesday 10/20/09
          CHAPTER 1 TEST

Monday 10/19/09
    Obj:
Students will work with DMS representation of degrees and be introduced to radian measure.
    Due Friday: Standard and Honors:  p.356-359  #1-53 odd.
                         Honors: In addition to the above, please do #71-74

Friday 10/16/09
    Took quick questions on section 6 homework.
          Test Tuesday

Wednesday 10/14/09
    Review problems assigned: 
p. 165+ #1-10; also please do all problems where the problem number is marked in red up through #54.  (For example, #14 is a red problem).

Tuesday 10/13/09
    Concluded the material for chapter 1
    Due Friday:  Both levels-
pp.147-148 #3-54 multiples of 3.
    TEST FOR CHAPTER 1 NEXT TUESDAY

Monday 10/12/09
    Obj:
Students will explore and draw conclusions about transformational effects of operations on funcitons.
    Due tomorrow:  1 paper per team section 5 of chapter 1, explorations 1, 2 & 3.

Friday 10/09/09
    Students worked on Explorations #1 & 2 in section 5 of chapter 1.

Wednesday 10/07/09
    Obj:  
Students will find inverses and their domain and range; students will also prove inverse relationships via compositions.  (See Monday for Assignment)

Tuesday 10/06/09
    Obj:
Students will begin working with inverse relations and functions.
   

Monday 10/05/09
    Obj:
Students will recall solving for y and work with parametrically defined equations.
    In class, p.135 Quick Review
    Due Friday:      Standard-p.135+ #1-8, 10-32 even; #33-34
                              Honors-p.135+ #1-8; 9-30(multiples of 3); #33-34; #45-50 all

Friday 10/02/09
    Quiz Chapter 1 Sections 1-4

Wednesday 9/30/09
       In class work day on section 4
       A few notes given on decomposition of functions and implicitly defined functions


Tuesday 9/29/09
    Obj:
Students will combine and compose functions.
    Due Friday: S: p.124-125 #1-29 odd; 31-34; 37-43;  H: in addition to the standard assignment do p.126 #52, 54 &55.
    QUIZ FRIDAY

Friday 9/25/09-Monday 9/28/09
    Obj:
Students will perform graphical analysis and construct piecewise defined functions.
    Due Tuesday:  1 paper per team: Part I:  provide graphical analysis for the parent functions given on pages 106-107 (exempt int(x); sin(x); cos(x)); Part II: pp113-114 #3-51 multiples of 3.

Wednesday 9/23/09
    Notes for section 2 of chapter 1 complete.  HW due Friday see 9/16

Tuesday 9/22/09
    Obj:
Students will interpret graphs in terms of continuity and increasing/decreasing behavior.
    Due date for homework moves to Friday.

Monday 9/21/09
    Mrs. Davies was out with a sick child.  Review problems done in class.  No need to turn in or make up.


Wednesday 9/16/09
    Obj:
Students will begin to analyze functions.
    Due Wednesday: Everyone p.102-103 #3-60 multiples of 3;
                            Honors: p. 103-104 #67-70, 77 plus the above problems

Tuesday 9/15/09
    Obj:
Students will continue to work with graphic models and algebraic substitution.

Monday 9/14/09
    Obj: 
Students will work with data and graphic models.
     Assignment due date due end of class tomorrow.


Friday 9/11/09
    Obj:
Students will fit lines and curves to data using technology.
    Due Tuesday:  Team assignment p.72 Exploration #1; p.82 #11-18; 20-23 (1 write up per team)
          Some solutions will be presented if time.

Wednesday 9/09/09
    Obj:
Students will solve for complex roots and perform operations with complex numbers.
    Due Monday: Standard: p.57-58 #3-42 multiples of 3
                            Honors: p.57-58 #4-44 multiples of 4; #53-56

Tuesday 9/08/09
       Obj:
Students will be introduced to complex numbers.
      


Friday 9/04/09
                TEST PREREQUISITE CHAPTER


Wednesday 9/02/09
    Objective: 
Students will solve absolute value and quadratic equations.
    Quadratic Formula derived in teams via p.52 #68
       TEST FRIDAY

Tuesday 9/01/09
    Obj:
Students will solve quadratics by completing the square.
    Assignment:  (See Monday 8/31)
          Chapter Test Friday


Monday 8/31/09
    Objective: 
Students will begin working with quadratics.
    Due Friday: Everyone p.50-51 #1-23 odd; #29-34; #39-43 odd; #59-61all
                         Honors:
In addition to the above, do #70-71


Friday 8/28/09
    Objective:
Students will transform linear equations to the three basic forms.
    Due Tuesday: Everyone: p.40-43 #3-42
                            Honors: In addition to the above, do p.43 #69-70


Wednesday 8/26/09         90 Minute Block
          Objective: 
Students will solve inequalities algebraically and recognize a variety of notations.
          Team Assignment:  Due end of class   p.30 #69 (calculator exploration).  1 paper per team.
                   See 8/25 for homework due Friday.


Tuesday 8/25/09
    Objective: 
Students will use the LCD method for simplifying rational expressions and solving equations.
    Due Friday:
       Standard:
p.29-30 #12-58 even
      Honors: p.29-30 #12-57 multiples of 3; p.30 #70-73; Complete the right triangle proof given in class and be prepared to present solutions to 70-73 in class.

Monday 8/24/09
    Prerequisite Pretest Given
HW may be turned in tomorrow with no penalty


Friday 8/21/09
    Objective: 
Clarify Distance, Midpoint, Absolute Value and Equations of Circles.
    Assignment Due Monday 8/24Everyone: p.20 #16-28 even problems (skip 24 as it will be covered in teams); CORRECTION!  #42-48 even (this was left off before)
                                                         Honors:  In addition to the above, please do #53-55 and be prepared to present   solutions.
    Assignment Due Friday 9/4:  Please send e-mail confirmation that you and your parent/guardian have read the class information and syllabus information above.  E-mail any questions or concerns at that time. (20 pt)
   
    Team Assignment collected today

                      Prerequisite skill pretest Monday-bring a calculator please.
   

Thursday 8/20/09
    Objective: 
Students will revisit calculation of distance between two points.
    Assignment Due Monday 8/24Everyone: p.20 #16-28 even problems (skip 24 as it will be covered in teams); CORRECTION!  #42-48 even (this was left off before)
                                                         Honors:  In addition to the above, please do #53-55 and be prepared to present   solutions.
    Assignment Due Friday 9/4:  Please send e-mail confirmation that you and your parent/guardian have read the class information and syllabus information above.  E-mail any questions or concerns at that time. (20 pt)
   
    Team Assignment due end of class tomorrow: p.20 #5, 7, 12-15, 24-25, 38.  One paper per team; time will be given for work.