Lesson #1
Introduction to Calculus

 
 
Quote of the Day:  See #4 below for five quotes.
 
Objectives:
        The student will understand the expectations of the course.
        The student will solve problems involving inequalities.
 
1. Problem on the overhead  (#36 or #1 or #20)
 
2. Attendance – Take roll
 
3. Materials needed: pencil, notebook, paper, graph paper, textbook, and calculator.
 
4. The three biggest factors in being successful in A.P. Calculus are:
        ATTITUDE, WORK ETHIC, and ATTENDANCE.
 
        (1) My philosophy of education, like my blood type, is "Be Positive."
              Keeping student attitudes positive is vital to their success in learning.
 
              "Life is 10% what happens to us and 90% how we respond to it."
                 -- Charles Swindoll
 
              The Eleventh Commandment is "No Whining."
 
        (2) "Genius is 10% inspiration and 90% perspiration."
 
            "I do not believe in the gifted.  If [the students] have ganas [Spanish for 
                desire], I can make them do it." – Jaime Escalante
 
            "There is no Royal Road to Geometry." -- Euclid

        Click here for comic strip about being successful!

        Click here for comic strip about being positive!

        Click here for God's positive answer.

 
5. Classroom Rules

        Click here for classroom rules

        Click here for homework guidelines

 
6. Policies:
 
        (1) Grading:    Tests, Homework, and Mini Exams count 2/3 of the 18 weeks 
                          grade  (Mini Exams are counted twice).
                       Quizzes and Class participation count 1/3 of the 18 weeks grade.
                       Extra Credit (up to 3 points) is added onto the 18 weeks average.
                       Final Exam counts 20% and 18 weeks average counts 80%.
                            
        (2) Make up tests are made up after school on Wednesdays.
 
        (3) Fire Drill Route – 
 
 
7. Fill out Data Sheet

        Click here for Data Sheet

 
8. Hand out Textbooks
 
9. What is Calculus?  (ideas from Thomas W. Shilgalis)
 
   (A) Best Value Problems
        (1) Given that you can only throw a ball so hard, at what angle should you 
            throw it to make it go the farthest?
 
        (2) Why is a coffee can not taller and thinner?
 
   (B) Best Shape Problems
        (1) What should be the shape of a suspension bridge cable if the weight of 
            the span is to be distributed uniformly?
 
        (2) How should a ramp be designed so that a ball will roll down it in the 
            least time?
 
   (C) Problems with Area and Volume
        (1) How big an air-conditioning system is needed for Handley High?
 
        (2) How is your percentile rank on a standardized test determined?
 
   (D) Growth and Decay
        (1) How can the age of ancient artifacts be determined?
 
        (2) How much anesthetic should the doctor administer?
 
        (3) What will be the world population in 3000 AD?
 
        (4) How much interest will I get on my savings account?

        Why we need to learn calculus...

        
10. To be successful in Calculus / Top 10 Tips for flunking Calculus

        Click here for "How to be Successful in Calculus"

        Click here for comic strip about the first day of school!

        Click here for another comic strip about the first day of school!   How many combinations are possible?

        Click here for comic strip about the first day of calculus

        Click here for "Top Ten List of Tips to Flunk Calculus"

        Click here for another comic on the first day of calculus

        Click here for a comic on the first day of school

        Click here for What you don't want to hear on the first day of school

        Click here for another top ten list about the first day of school

        Click here for what happens after summer vacation

 
11. MATHO Game

        Click here for an explanation of the MATHO Game

 
12. Distribute copies of Precalculus concepts and the Mini Exam Review

        Click here for "Topics for Mini Exam #1"

        Click here for "Mini Exam #1 Review Sheet"

 
13. Assignment:
      
     
     Read Appendix A1 - A8
             
     Do p. A11 (2, 3, 6, 7, 10, 13b, 14c, 15a) in the Appendix
             Begin work on Mini Exam #1 Review     

 

 
The following will redirect you to the A.P. Calculus page and the Math page
go.to/apcalc
go.to/mathpage

 

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