北京 景山 学校 数学系
Algebra & Pre-Calculus @ MATHEMATICS @ Junior 9.5  。2011-12

jiguanglaoshi@gmail.com

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[1] October
[updated : 2011/10/18]
Date
Activities / Objectives
 Images / Home work / Assignments
Remarks / Images
References  / Links
Tuesday

  Oct. 18

3:15 - 4:45
Introduction to this class :
  • registration forms
  • textbooks / notes
  • memos
  • exercises
  • tests
Chapter 1
Review and extension of the
Homographic Functions
Use of .ppt presentation
(speedy !)
H1-5

Exercises in class
to be continued and finished
for next Tuesday

Example of Homographic Function

hyp_transl

Exercise / Intersection
Parabola and a Hyperbola

Parab
                  & Hyperb


Multiple problems of classroom :
  • Change of room without notice
  • New room with no key !
  • Room eventually opened, but no computer projector installed !
  • New change of room
  • Problems of computer connection to screen in that new room
  • Total : 40 minutes of class lost !
Students
are the same group
as last year in grade 8.5
That's a fine class !

New words :
  • Asymptote :  jiànjìnxiàn 渐近线
  • homographic : tóngxíng 同形
  • hyperbola :shuāngqūxiàn 双曲线
  • equilateral : děngbiān 等边



Registration Form



Homographic Functions.ppt
(to download)




Memo / HYPERBOLA




Assignment #1

Tuesday

Oct. 25

3:15 - 4:45
  • Collect registration sheets with photo
  • Check exercise III & IV on Ass.#1
  • Give computer answers to Ex.III & IV
  • Handout Assignment # 2 about
    Associated functions
    &
    Geometric transformations
Examples  - Equations - Graphs - Exercises
    Use of Mathematical software

a)     f1(x) = - f(x) / Ox Symmetry
b)    f2(x) = f(-x) / Oy Symmetry
c)    f3(x) = - f(-x) / Central Symmetry
d)    f4(x) = f(x - L) + H  / Translation
Exercises on associated functions
fx_assoc
f1(x) = - f(x) ; f2(x) = f(-x) ;
f3(x) = - f(-x) ; f4(x) =  f(x-2)+1

Assoc_Parab.jpg
Hx_eq
Transformations :
h1(x) = | h(x) | ; h2(x) = h(|x|) ;
h3(x) = | h(-x) | ; h4(x) = h(x-2)+1

Hypyp






Assignment #2


p.2 to be completed for
Tuesday Nov.1