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

jiguanglaoshi@gmail.com

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[2] October
[updated : 2010/10/31]
Date
Activities / Objectives
 Images / Home work / Assignments
Remarks / Images
References / Links

Monday

Oct. 11

14:25 -15:05

15:15 -15:55

  • Recall of registrations sheets
  • Collect Assignment #2 sheets
  • Handout Memo / Parabolas
Review of elementary functions
(Part 2)
Examples - Equations - Graphs - Exercises
    Use of Mathematical software.

Second degree functions types :

I - Algebraic properties of f : x ----> ax2

II - Geometric properties of the Parabola.

Computer grahic demo  of these properties
Exercises / p.1 of Assignment # 3

III - Associated functions defined by :
  (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


Handout Assignment # 3
to be returned on
Monday Oct. 18
Parabola
parabole

a > 0                                           a < 0
up&down







paparabolas






Memo / Parabola






Assigment # 3


Monday

Oct. 18

14:25 -15:05

15:15 -15:55


  • Registrations sheets update.
  • Collect Assigment # 3
  • Return of Assignment # 2
  • Correction of Assignment # 2
  • Handout Memo on Hyperbolas
  • Handout Assignment # 4
Homographic Functions

I - Algebraic properties of  A/x

II - Geometric properties of A/x

Computer grahic demo  of these properties
III - Associated functions defined by :

H-1-2-3-4-5

Exercises on proper drawing of hyperbolas :
Exercises 1 & 2 of Assignment # 4
to be returned next Friday 22nd




A/x

A > 0                 A < 0


H1    H1b

Homographic Functions

H-LH

HH
Three students have not
returned the previous Assignment # 2
and will be marked 0

The work is totally insufficient on Assignement #2
  • No English sentence to explain the answers
  • Bad presentation of the papers with scratches and parts in 汉字。
  • No use made of the space provided on the papers for the answers.
Please return
Assignment # 4
Friday 22nd on my desk
in the Maths Lab.
To allow me to return it to you on Monday 25.
Correction of Assign. # 2




Demo.ppt / Hyperbola




Memo / Hyperbola



Assignment # 4








Monday

Oct. 25

14:25 -15:05

15:15 -15:55


  • Return Ass. # 3 on Graphs of Parabolas
  • Collect Ass. # 4 on Homogaphic functions.
  • Handout Ass. # 5 on Associatied functions
Chapter IV :
Introduction to Associated functions
Associated functions / geometric transformations
    Examples  - Equations - Graphs - Exercises
    Use of Mathematical software : see =>

a)     g(x) = - f(x) / Ox Symmetry

b)    g(x) = f(-x) / Oy Symmetry

c)    g(x) = - f(-x) / Central Symmetry

d)    g(x) = f(x - L) + H  / Translation



Assignment #5
p.1/2 to be prepared and returned to my desk
on Friday Oct.29


af



Second period cancelled
because of teacher's
special mission to
CHENGDU
Seminar on
Non Lingustic Displinary
Oct. 26
with Hanban and
French mission
of International Sections





Assignment #5

p.1/2 to be prepared and returned to my desk
on Friday Oct.29