Course Category: 線上課程

Lesson 1

• 平均數、眾數與中位數 Mean, Mode and Median

Lesson 2

• 框線圖 Box-and-Whisker Diagram
• 分佈域與四分位數間距 Range and Inter quartile range (IQR)

Lesson 3

• 標準差與方差 Standard deviation and Variance

Lesson 4

• 標準分及正態分佈 Standard score and Normal distribution

Lesson 5

• 改變數據對平均數、眾數、中位數、分佈域、四分位數間距、標準差及標準分的影響 The effect on mean, mode, median, range, IQR, standard deviation and standard score of changing the data

- 軌跡的概念 Concept of a Locus
- 軌跡的描述及繪畫 Description and Sketch of a Locus

Lesson 1-Lesson 2

• 圓的方程的標準式 Standard Form of Equations of Circles
• 圓的方程的一般式 General Form of Equations of Circles
• 圓的分類 Classification of circles
• 一已知點及圓的關係 Relationship between a Given Point and a Circle

Lesson 3-Lesson 5

• 一圓和一直線的交點 Intersection between a Straight Line and a Circle
• 直線和圓的相對位置 Relative position of a Straight Line and a Circle
• 一直線與一圓之交點的中點 Mid-point of the intersection between a Straight Line and a Circle
• 兩圓的相對位置 Relative position of two circles

- 基本概率 Basic Probability
- 概率加法定律 Addition Law of Probability
- 概率乘法定律 Multiplication Law of Probability
- 利用排列及組合解概率問題 Using Permutation and Combination to Solve Probability Problems

- 計數原理 Basic Principles of Counting
- 排列 Permutation
- 組合 Combination

- 數列之和 Summing a sequence
- 等差數列之和 Summing of an Arithmetic Sequence
- 等比數列之和 Summation of a Geometric Sequence
- 等比數列的無限項之和 Sum to Infinity of a Geometric Sequence

Lesson 1

• 數列 Sequences
• 平方數數列 Square numbers sequence
• 斐波那契數列 Fibonacci sequence
• 三角形數數列 Triangular numbers sequence
• 等差數列 Arithmetic Sequences

Lesson 2

• 等比數列 Geometric Sequences
• 等差數列和等比數列的特點 Properties of Arithmetic Sequences and Geometric Sequences

- 二元一次不等式與它們的圖像表示 Linear Inequalities in Two Unknowns and their Graphical Representations
- 以圖像法解二元一次不等式系統 Solving Systems of Linear Inequalities in Two Unknowns Graphically
- 線性規劃 Linear programming

- 複合一元一次不等式 Compound Linear Inequalities in one unknown
- 一元二次不等式 Quadratic Inequalities in One Unknown
- 重要筆記 Some important notes

- 圓的切線 Tangents to a Circle
- 圓的切線和半徑 Tangents and radius of the Circle
- 外點的切線 Tangents from an External point
- 交錯弓形的圓周角 Angles in the Alternate Segment