Textbook:  Larson, Hostetler, Edwards.  Calculus of a Single Variable.  Houghton Mifflin, 8th edition.  2006. 

Class Description:  Calculus is the exploration of changes in functions.  We will explore functions by studying Limits, Derivatives, and Integrals.  Limits find values of functions for an infinitesimally small x.  Derivatives observe the slopes of a curve, or the rate of change at a singular point on the function.  Integrals help us compute the area under a curve (as opposed to the area of a triangle in geometry).   

Required Materials:

• 2 inch 3-ring binder
• Notebook dividers labeled as follows
  • Notes
  • Homework
  • Quizzes
  • Formulas
• Pencils, paper, and graph paper
• Graphing calculator. The AP exam allows use of the following:  TI-84, TI-89, TI nspire CAS.  I will use the TI-84 in the classroom.  Please refer to my teacher’s page on the Nogales Home Page for all AP approved calculators.  Please note that some AP approved calculators may not be approved for the SAT or IB.  I will post a document telling you which calculators are approved for which tests.  Some resources to buy calculators are EBay or sale places, such as Amazon.  I do not hold any responsibility for sellers on these sites who sell a bad product, I am only giving suggestions:  buy at your own risk. 

Discipline Expectations:

1. Respect all others in the classroom, including any adults and other students.
   1. This classroom is an encouraging environment. We are to bring each other “up” and not “down.”  Here, we will help each other understand. 
   2. Be open-minded.
2. Be on time when the bell rings. My classroom is located far from the A buildings, however, you have plenty of time to be in my classroom before the bell rings.  (I know, I came to this school and had to hurry across campus myself.)
3. Always bring materials to class.
4. No food or drink in the classroom.
5. Use of electronics, including cell phones, are not allowed during class time unless specified by the teacher for special lessons.
6. All work is to be your own. If you receive help be sure you understand exactly how the problem was solved.  There is to be NO CHEATING. 
7. All school rules apply.

Cheating consequences:

1. First violation of the year
   1. Zero on assignment
   2. Meeting with parent and sign a cheating policy form.
2. Second violation
   1. Zero on assignment
   2. Meeting with parent and assistant principal to sign a cheating policy form.
   3. Placement on a behavior contract, Saturday school and 200-word essay on cheating policy
3. Third violation
   1. Zero on assignment
   2. Referral
   3. Possible suspension

Other Consequences:

1. Warning/loss of participation points
   1. (If applicable, change of seats).
2. Conference with student.
3. Phone call home.
4. After school detention.
5. Parent conference.

ON THE THIRD CONSEQUENCE, A REFERRAL WILL BE SENT TO THE OFFICE.  I will choose three consequences as they fit the behavior. 

****At any time, if the behavior warrants it, students will receive a referral without previous steps taken.**** 

Grades:                                                                                                                         Grading Scale:

Participation*                    5%                                                                                     0-59.99%                            F

Homework/classwork     20%                                                                                  60-69.99%                          D

Quizzes and Tests             55%                                                                                  70-79.99%                          C

Final                                     20%                                                                                  80-89.99%                          B

                                                                                                                                       90%+                                   A

Each week every student starts with 10 participation points.  As the week progresses they can earn extra credit points by explaining problems to the classroom during warm-ups or by doing other helpful acts.  They can lose points by breaking any of the rules.  If a referral is given for any reason all points for that week will be taken away.  If a phone call home is necessary for negative behavior/reasons five points will be taken away for that week.

All work is due on due dates unless there is an excused absence.  Late work will be accepted up until a week after the due date, but only half the credit earned will be received.  For example, if an assignment is only 60% done and is late, then the student will receive half of 60% of the points.  If the work is completely done but late, then the student will receive 50% of the points.  If there is an issue for getting work in by the due date, please contact me and I will allow time accordingly.

Edmodo is a website made exclusively for the classroom.  I will be posting homework on the website as well as helpful videos and notes.  Students may also ask questions and communicate on the website.  I will post my lecture notes whenever possible keep up with the website often.  Please be respectful in all posts. 

AP exam:

All students are strongly encouraged to take the AP exam.  This test is scheduled on May 5 for this school year.  Scores range from a 1 to a 5, with a 3 considered passing.  Let us start this mantra:  “Strive for a 5! Strive for a 5!” 

Week            Lesson                                      

1.1-1.5 Review of Limits

Limits Test

2.1 The Derivative                                

2.2 Basic Differentiation Rules

5.1 Differentiation of the Natural Log

5.4 Differentiation of Exponential Functions      

2.3 Product and Quotient Rules  

2.4 The Chain Rule 

Derivative Test

3.5 L’Hopital’s rule            

2.5 Implicit Differentiation                      

2.6 Related Rates

Implicit Differentiation, L’Hopital’s Rule, and Related Rates Quiz                         

3.1 Extrema on an Interval          

3.2 The Mean Value Theorem     

3.3 The First Derivative Test       

3.4 The Second Derivative Test/Acceleration/Speed                       

3.6 Curve Sketching

Applications of the Derivative Test

4.3 Riemann Sums:  L-RAM, R-RAM, M-RAM, Trapezoidal Sums

Riemann Sum Open-Ended Test

4.1 Basic Integration Rules

4.2 Area Using Integration

7.1 Area of a Region

7.2 Volumes of Solids with Known Cross-Sections

Area Test                         

Semester 1 Review and Final Exam

3.7 Optimization Problems          

3.9 Differentials

Optimization and Differentials Quiz

6.1 Slope Fields                         

6.2 Differential Equations            

6.3 Separation of Variables

Differential Equations Open-Ended Test

4.4 The Fundamental Theorem of Calculus

4.5 Integration by Substitution

Fundamental Theorem and Integration by Substitution Test  

5.3 Inverse Functions                           

5.6 Inverse Trig. Functions (Derivative) 

5.7 Inv. Trig. Functions (Integration)

Ch. 5 Test    

Review Ch.1 to Ch.7 Multiple choice

Review AP Open-ended Practice                                         

MAY 5^th AP Exam                                                                                                      

Other topics in Calculus

Project                             

Final Review and Exam

*The order in which these topics are covered may change, as well as how quizzes and tests are grouped into sections.  If you are absent, please see Edmodo for up-to-date pacing.