Table of Contents

1. General
   1. Example Presentation Lesson with Assessment
   2. Completing the Square for Quadratic Expressions (Harder)
   3. Completing the Square Method in Quadratic Functions
   4. Gradient of Mutually Perpendicular Lines
2. Numbers And Algebra
   1. Binomial Multiplication
   2. Completing the square
   3. Magic machine for function
   4. Equivalent Fractions Puzzel
   5. Story of Rice on Chessboard : - Exponential Doubling
   6. sieve of eratosthenes
   7. Sieve of Eratosthenes
   8. Sieve of Eratosthenes
   9. Function Machine
   10. Percentages: Selling Problems, Profit & Loss
   11. Equivalent Linear Equations
   12. Solving Linear Inequalities (Level 2) Game
   13. Significant Figures Self Directed Quiz
   14. Smallest n such that m × n is a perfect square
   15. Smallest k such that m × k is a perfect cube
   16. Finding the ratio x : y given algebraic equation ax + by = cx + dy
   17. Coefficients of a general quadratic function
   18. Expand and Simplify Basic Algebraic Expression with Brackets
   19. Plotting graph of a function
   20. Concept of gradient(slope) of a line
   21. Midpoint between two points
   22. Concept of Cartesian coordinates
   23. Solving Simultaneous Linear Inequalities II (Self Directed Practice)
   24. Significant Figures Self Review 2
   25. Solve Simple Linear Equations (II)
   26. Maximum and Minimum Values of Inequalities in variables x and y
   27. Solving Simple Inequalities Game
   28. Copy of Simplifying Algebraic Fractions (Express as a Single fraction)
   29. Linear Equations in Two Variables - Solutions are points on Graph!
   30. Linear Equations in Two Variables - Solutions on the Graph
   31. Factorized Form of Quadratic Function
   32. Factorization involving Special Algebraic Identities (Perfect Squares and Difference of Squares)
   33. Exploration of roots of a quadratic equation (Copy)
   34. Connecting Angle between Two Lines and Trigonometric Ratios
   35. Gradient and Y Intercept of Straight Line & its Equation
   36. Multiplying integers (Copy)
   37. Real Number Classification - Introduction
   38. Place Value for Decimals
   39. Simplifying Combining into Single Algebraic Fraction (Two and Three Terms)
   40. Solve Linear Linear Fractions
   41. Simplifying Algebraic Fractions (Two Terms To be Expressed as Single fraction)
   42. Solving Equation with Expressions on Both Sides and Intersection of Two Graphs
   43. (Self running) Expand and Simplify Basic Algebraic Expression with Brackets
   44. Basic Algebra : Simplifying Expressions (1)
   45. Self Assessment (Record to Google Sheet): Graphs of Quadratic Functions such as +/- (x-p)^2 +q
   46. Shifting Patterns
   47. The Real Number System
   48. Fun with Decimals
   49. Translating between decimal and percentage
   50. Algebric puzzle for (a+b+c)²
   51. Compound Interest 複利息
   52. Compound Interest 複利息 (version with common ratio)
   53. Graph of Income Tax Rates
   54. Distance Time Graph For Self Directed Learning
   55. Speed Time Graph for Self Directed Learning (Customizable)
   56. Fraction Division5:　x ÷ a/b (Quotitive)
   57. Solving percents with a bar model
   58. Graphing on Graph Paper
   59. Balance Beam Equations
   60. Numberline
   61. Solving Proportions
   62. Ordered Pairs, Cartesian Coordinates Self Assessment
   63. Adding and subtracting a negative integer
   64. Graphing Linear Equations in 2 Unknowns
   65. Factorization - Visual illustration of divisor pairs
   66. Prime Factors - step by step
   67. Self Assessment : Quadratic Curve's Properties
   68. Slope Intercept Form of Equation of Straight Line - Quiz
   69. Determining the Equation of Straight Lines Given Two Points
   70. Bar Model for Problems on Ratio Rate Direct Proportion
   71. find LCM and GCD
   72. Self Review of Maps and Scales Problems
   73. Fraction Multiplication
   74. Randomized linear simultaneous equations
   75. Basic Algebra Terms
   76. Distributive Law of Multiplication over Addition ( Pictorial)
   77. Lines representing equations of the form x = a and y = c
   78. Indices Part 4 : Negative Integral Indices
   79. Factorization of Quadratic Expressions Aided by Multiplication Frame
   80. Solve Simple Linear Equations
   81. UCSS Math III 2B.1.5 Example 4
   82. Rational Expressions
   83. Rational Expression Unit Test
   84. "Pass the Paper" Problems- Adding & Subtracting REs
   85. Example 4
   86. Guided Practice Sheets
   87. Anchor Activities
   88. Example 1
   89. Simplify Expressions, More Complicated-Section 1.4
   90. Factoring Quadratic Expressions 3
   91. Multiplication Frame, Algebraic Factorisation.
   92. Factorization of Special Products
   93. Expansion of Linear Factors Using Multiplication Frame
   94. Proportional Thinking using Model-Table-Proportion(Algebra) Representations
   95. Sorting decimals from least to greatest
   96. Linear Functions : Input Variable x and Output Variable y
   97. Evaluating unknowns in Linear Equations in Two Variables and Graphing the Equations
   98. Speed, Distance & Time in Motion (RACE CAR)
   99. Distance Between Two Points (Length of Line Segment)
   100. Self Assess Distance Betw Two Points(Length of Line Segment)
   101. Mathematical Modelling of Filling of Circular Water Tank
   102. Forming Equation of a Straight Line Given Graph of Line
   103. Changes in Inequalities due to Multiplication and Division
   104. Fun With Number Pattern
   105. Representing Numbers on a Number Line
   106. Perpendicular lines and their Gradients
   107. Completing the Square Method in Quadratic Functions
   108. Expand Product of Two Linear Expressions (Area Method)
   109. Solve Simple Linear Equations (Apply Balance Concept)
   110. Algebra balance scales
   111. Equation Balance
   112. Graphing of Polynomial Functions Point by Point
   113. Rational Expression Unit Pre-Assessment
   114. Solving Equations where Product of Linear Factors Equals Zero
   115. Map Scales (1)
   116. Map Scales(2)
   117. Indices (Positive Integer Index) : Introduction
   118. Function Machine 2
   119. Problem of movement
   120. Quadratic Formula - Approximate Solutions
   121. Visualizing Number Patterns with Common Difference
   122. Factorization : Finding the Factor of Distributed Terms
   123. Expansion of Special Products
   124. Combining Simple Algebraic Fractions
   125. Ordering Rational Numbers
   126. Graphing Rational Numbers on a Horizontal Line
   127. Solving Linear Equations involving fractional coefficients and expressions (2)
   128. introduction to LCM
   129. HCF & LCM of Three Numbers by Short Division 以短除法求三個數的HCF和LCM
   130. Solving Linear Equations involving fractional coefficients and expressions (1)
   131. Quadratic Function Machine
   132. Modelling of the Parabolic Shape of the Flower Dome
   133. Representing inequalities on a number line (translated)
   134. Solving Simple Fractional Linear Equation (1)
   135. Real Mastermind
   136. Ordering Rational and Irrational Numbers (Number Sense)
   137. Ordering Irrational Numbers on the Number Line
   138. Rational and Irrational Number Classification
   139. Quadratic Solver Tool
   140. Solving Quadratic Equations by Factorization I (Self Review)
   141. Multiplying positive and negative numbers (Copy)
   142. Addition of Directed Numbers - Counters Model
   143. Expand and Simplify Basic Algebraic Expression with Brackets (with User Input & record of work)
3. Geometry and Measurement
   1. Basic Terms in Geometry
   2. Acute Obtuse or Reflex Angles
   3. Investigation - Corresponding angles, alternate angles and interior angles
   4. Types of Triangles
   5. Congruent Triangles 3
   6. Bearings
   7. Angles in Opposite Segments
   8. Angles in the SemiCircle
   9. External Tangents to a Circle
   10. Introduction: Radians
   11. Are the triangles congruent?
   12. Congruent Triangles Exploration 1
   13. Triangle Angle Theorems
   14. Example 2
   15. Similar Figures
   16. Congruent Figures Activity
   17. Collinear Points (Definition Prompt)
   18. Geometry Exercise (Basic) Problem 2 : Application of Tangent Radius Property
   19. Geometry Exercise (Basic) Problem 1 : Application of Tangent Radius Property
   20. Area of Parallelograms
   21. Deriving the Area Formula of a Parallelogram
   22. Area of a Trapezium
   23. Bearings : Practice with Compass Reference
   24. Angle of Elevation and Depression
   25. 10.2 Angles of elevation and depression(仰角和俯角)
   26. Angle of elevation and depression
   27. Angle of elevation - light house1
   28. Angle of Elevation & Angle of Depression 仰角和俯角
   29. Converse of Pythagoras Theorem : Self Assessment
   30. Exploring the Converse of Pythagoras Theorem
   31. Shortest Distance between a Point and a Line (in Angle Bisector)
   32. Deriving area of trapezium by using a parallelogram
   33. Parallelogram Investigation - Area
   34. Quiz on Solving Right Triangles (Combined) 解直角三角形：合併測驗
   35. Net of cone
   36. Net of pyramid
   37. Net of prism
   38. Net of cylinder
   39. Different nets of cube
   40. Different nets of rectangular prism(cuboid)
   41. Area of kite
   42. Geometric properties of a quadrilateral
   43. Let's Build Prisms
   44. Investigating - Ratios of Sides in a Right Angled Triangle Triangle
   45. Proof Without Words
   46. Pythagoras Theorem (Proof with Calculations)
   47. Pythagoras
   48. MCAS Pythagorean Theorem Self-Test
   49. Leiter an der Wand
   50. Pythagoras Theorem Revision & Practical Applications
   51. Spiral of Pythagoras
   52. Missing Side Lengths
   53. Quiz: Pythagorean Theorem (2A)
   54. More Trouble with Triangles
   55. Cavalieri's Principle (祖暅原理)
   56. Volume of a Pyramid - Cavalieri's Principle
   57. 3D Nets Compilation (by Edward Knote)
   58. Angle between line AB and radius of the circle (Tangent Radius)
   59. 3D Sphere, Hemisphere Volume and Total Surface Areas
   60. Cone Volume and Total Surface Area
   61. Total Surface Area & Volume of Cylinder (with net shown)
   62. Self Review Mensuration of Hemispherical Bowl
   63. Self Review Mensuration of Composite Hemisphere & Cone
   64. Self Review Mensuration of Composite Cylinder & Hemisphere
   65. Are the triangles congruent?
   66. Arc Length 1
   67. Pythagorean Triple Generator
   68. Relationship between Arc Length, Area of Sector, Radius and Angle (in degrees)
   69. Deplacement, velocity and acceleration in the same visual
4. Statistics and Probability
   1. Tree Diagrams
   2. Permutation Braid, 4 Unique Objects
   3. Mean Median Mode -Tabulated Data with Visual Mode Example 2
   4. Boxplot Game
   5. Dot Plot Interactive
   6. AQR Section 16: Matching a Pie Chart to a Dot Plot
   7. AQR Section 17: Calculating Summary Statistics
   8. AQR Section 17: Dot Plot and Box-and-Whisker Plot
   9. Visualizing Statistical Information
   10. 3 Dice
   11. Probability: Selecting Balls
   12. Computing Simple Probabilities from Tables
   13. Experimental probability
   14. rolling a dice
   15. Example 1
   16. flipping a coin
   17. Probability with Area
   18. dotplot
   19. Mean and Median Practice
   20. measures of center
   21. Averages (Mean, Median, Mode)
   22. AQR Section 17: Mean but Sensitive
   23. Data Visualization
   24. Standard Deviation Investigation
   25. AQR Quick Question 17.3: Mean, Median, and Midrange
   26. Probability
   27. Probability and Tree Diagram
   28. Probability trees
   29. rolling two dice-1
   30. Introduction to Probability ---- The Rolling of a Die
   31. Interactive Dot Diagram(with Illustration of Mean, Median)
   32. Comparing Histogram, Dot and Stem & Leaf Diagrams
   33. Mean, Median, Mode, and Range
   34. Outlier Influence
   35. UCSS Math II 4.3.1 Example 3
   36. UCSS Math II 4.3.2 Example 1
   37. UCSS Math II 4.3.1 Example 2
   38. Stem and Leaf Plot Template
   39. Operation of 3 Sets #2
   40. Big Tree Diagram
   41. Displaying grouped data as individual values and as frequency histogram
5. Past Examination Resources
   1. Past Years' Examination O Level Math and Additional Math Compilations