I. T. Resources / Teaching Aids

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The Art of Mathematical Thinking

Chapter 1

Number System , Surds , and Functions

1) Number system

2) Surds

3) Addition , substraction and  multiplication of surds

4) Rationalization

5) Concept of a function

          6) Notation of a function

          7) Graphs of some common functions

Chapter 2

Indices and Logarithms

         1)   Uses of indices and scientific notation

         2)  More examples about indices

         3)   Logarithms

         4)   Logarithmic equations

Supplementary Exercise 1

Supplementary Exercise 2

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More about Quadratic Equations

   1)  The general form of a quadratic equation

   2)  Review on solving quadratic equations

   3)  Solving a quadratic equation by

completing the square

   4) Solving a quadratic equation by the

        quadratic formula

   5)  Nature of roots of a quadratic equation

   6)  Sum and product of the roots of

        a quadratic equation

   7)  Forming quadratic equations with

         given roots

   8)  Reducing equations to quadratic equation

   1^st Term Standardized Test

quadratic.gr (Graphmatica)　　

Quadratic Curves (Excel)

一元二次方程 (漫畫)　

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Quadratic Graph

   1)  Quadratic functions

   2)  Graphs of functions of the form y = ax²

   3)  Graphs of functions of the form

           y = a(x-h)² + k

   4)  Signs of a,b,c and of the graph of

           y = ax² + bx + c

   5)  More about the quadratic function

y = ax² + bx + c

　

Winplot

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Chapter 5

Quadratic,in Two Variables

   1)  Solving simultaneous equation

        algebraically

   2)  Graphical solutions of simultaneous

        equation,one linear and one quadratic

   3)  Number of points of intersection of a

        parabola and a straight line

   4)  Graphical solutions of quadratic equation

Winplot

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Basic Properties of Circles

1)  Basic terms

          2)   Arc, Angles and chords

          3)   Properties of chords in a circle

          4)   Properties of angles of a circle

          5)   Cyclic quadrilaterals

          6)   Tests for concylic points

          7)    Tangents to a circle

          8)    Angles in the alternate segments

          9)    Circumcircle

Revision

First Term Exam

　

Two Circles (1) (IES Java)　

Wingeom

Two Circles (2) (IES Java)　

concylic.fig (Cabri)

Two Circles (3) (IES Java)

tangent.fig (Cabri)

Two Circles (4) (Java)

two_cicle.fig (Cabri) 　

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More about Polynomials

1. Polynomials
2. Fundamental Operations of polynomials
3. Equality of polynomials
4. Remainder Theorem and Factor Theorem
5. Further examples about Remainder Theorem and Factor theorem
6. The sum and difference of two cub
7. H.C.F. and L.C.M. of polynomials
8. Operations of algebraic fractions

Chapter 8

Trigonometry

1. Review on trigonometric functions of acute angles
2. Area of triangle
3. The sine formula
4. the cosine formula
5. Problems in two dimensios

Supplementary Exercise 8　

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More about Trigonometry

   1) Trigonometric functions of any anles

   2) Trigonometric ratios of (180° ± q ),

        (360° -q ) and (-q ).

   3)  Finding trigonometric ratios

   4)  Simplification of trigonometric    

         expressions

   5) Graphs of sine, cosine and tangents

        from 0° to 360°

   6)  Simple trigonometric equations

   7)  More about trigometric equations

   8)  Graphical solutions of trigonometric

         equations

   9)  measurement of angles in radians

  10)  Length of an arc and area of a sector

  11)  More about areas of triangles,

         sine formula and cosine formula

  12)  Problems in three dimensions

          2^nd Term Standardized Test

Trigonometry (PowerPoint)

Sine Function Box (IES Java)

Cosine Function Box (Java)

Tangent Function Box (Java)

sine_degree.gr   (Graphmatica)

sine_degree_2.gr    (Graphmatica)

tangent_degree.gr   (Graphmatica)

Wingeom

Trigonometric Functions (Excel)

The graph of y=sin x (IES Java)

The graph of y=cos x (IES Java)

sine_radian.gr   (Graphmatica)

sine_radian_2.gr   (Graphmatica)

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Rate, Ratio, Proportion and Variation

1)  Rate

          2)   Ratio

          3)   Proportion

          4)   Direct variation

          5)   Inverse variation

          6)   Joint variation

          7)   Partial variation

          8)   Continuous Proportion

Chapter 11

Locus and Coordinate Treatment of Straight Lines and Circles

   1)  Coordinate treatment of straight lines

   2)  Equations of straight lines

   3)  Parallel and perpendicular lines

   4)  Idea of loci

   5)  Equations of circles

   6)  Intersection of straight lines and circles

        Revision

Final Exam

變數法(一) (漫畫)　

變數法(二) (漫畫)　

Supplementary Exercise 11

Coordinate Geometry (PowerPoint)

Winplot