北京 景山 学校 数学系
Elective / Pre-Calculus @ MATHEMATICS @ Senior 1  。2009-2010

jiguanglaoshi@gmail.com

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[1] September

[updated : 09/10/06]
Date
Activities / Objectives
 Images / Home work / Assignments
Remarks / Images
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Monday


Sept. 14

14:50 -15:35

15:45 -16:

Review of elementary functions

(Part 1)

    Examples  - Equations - Graphs - Exercises
    Use of Mathematical software.

a)    Linear functions vs Affine functions :
     what does linearity mean ?
        (i)  Additivity
        (ii) Homogeneity

b)    Graphing inequalities :
ax + by ≤ c :
       
How is the plane divided in two parts ?

c)    Graphing linear systems of inequalities


Examples (see next column)













Correction of Ex.1
(Assignement #1)



你们好

我是纪老师,我 姓纪

我的名字叫 纪 光

很高兴认识你们

我想你们喜欢学习数学

我喜欢数学.

我的前辈是瑞士的一个著名 数学家

他的名字 EULER,

生活在 俄国十八世纪.

我的母语是法语

我也能说英语

我用 英语 教你们数学,

,有些学生不大明白英语,

我说慢一点儿.

我要象在法国那样教数学.

谢谢.

 现在, 上课










Planning Project

1st semester



Assignment #1


Glossary
(to be completed after each class)





Monday

Sept. 21

14:50 -15:35

15:45 -16:30

Collection of the registration sheets  with pictures.
and of the assignment #1

Correction of the 3 exercises on Assigment # 1 :
  1. Study of a system of inequalities and their representation in a plane.

  2. Word problems using linear and affine functions and inequalities.
    (Linear programming).

  • Kinematics (pict.1)

  • Economics (pict.2)
New exercise on linear programming
see Suzy story
in assignment #2


Kinematics
UV

Economics


Assignment #2
(2nd problem studied in class
but has to be discussed in writing
and both problems
must be returned
next Monday 28)




Students who have not returned their registration sheet
with a picture
and /or their Assignment

 must return them on Tuesday to Wu LaoShi


Glossary
(to be completed after each class)







Assignment #2

 
Monday


Sept. 28


14:50 -15:35

15:45 -16:30
 
Review of elementary functions
(Part 2)
Examples - Equations - Graphs - Exercises
    Use of Mathematical software.
a) Second degree functions types :

  (P1)     y = a x²                
  (P2)     y = a x² + H          
  (P3)    y = a (x – L)²         
  (P4)     y = a (x – L)² + H   
  (P5)     y = a (x – x’)(x – x’’)
  (P6)     y = a x² + bx + c    
 

Parabola




Assignment #3
to be returned on
Monday Oct.12th
 

Parabolas


 
 
 
 
 
Presentation of Parabola
& 2° Functions
(.ppt file to download)


Assignment #3
to be returned on
Monday Oct.12th