Elementary Math

Lew W. S., Ronan Downes, Aug 27, 2020

Compilation for fellow teachers to edit, collate (according to curriculum strands and alos update and add on useful interactive resources.

Table of Contents

  1. Introduction
  2. Numbers And Algebra
    1. Prime Factors - step by step
    2. Factorization - Visual illustration of divisor pairs
    3. Self Assessment : Quadratic Curve's Properties
    4. Determining the Equation of Straight Lines Given Two Points
    5. Slope Intercept Form of Equation of Straight Line - Quiz
    6. Bar Model for Problems on Ratio Rate Direct Proportion
    7. find LCM and GCD
    8. Self Review of Maps and Scales Problems
    9. Fraction Multiplication
    10. Randomized linear simultaneous equations
    11. Basic Algebra Terms
    12. Distributive Law of Multiplication over Addition ( Pictorial)
    13. Indices Part 4 : Negative Integral Indices
    14. Solve Simple Linear Equations
    15. UCSS Math III 2B.1.5 Example 4
    16. Rational Expressions
    17. Rational Expression Unit Test
    18. "Pass the Paper" Problems- Adding & Subtracting REs
    19. Example 4
    20. Guided Practice Sheets
    21. Anchor Activities
    22. Example 1
    23. Simplify Expressions, More Complicated-Section 1.4
    24. Factoring Quadratic Expressions 3
    25. Multiplication Frame, Algebraic Factorisation.
    26. Factorization of Special Products
    27. Expansion of Linear Factors Using Multiplication Frame
    28. Proportional Thinking using Model-Table-Proportion(Algebra) Representations
    29. Solving Equations where Product of Linear Factors Equals Zero
    30. Map Scales (1)
    31. Map Scales(2)
    32. Binomial Multiplication
    33. Completing the square
    34. Magic machine for function
    35. Equivalent Fractions Puzzel
    36. Story of Rice on Chessboard : - Exponential Doubling
    37. sieve of eratosthenes
    38. Sieve of Eratosthenes
    39. Sieve of Eratosthenes
    40. Function Machine
    41. Percentages: Selling Problems, Profit & Loss
    42. Equivalent Linear Equations
    43. Solving Linear Inequalities (Level 2) Game
    44. Significant Figures Self Directed Quiz
    45. Smallest n such that m × n is a perfect square
    46. Smallest k such that m × k is a perfect cube
    47. Finding the ratio x : y given algebraic equation ax + by = cx + dy
    48. Fraction Division5:　x ÷ a/b (Quotitive)
    49. Speed Time Graph for Self Directed Learning (Customizable)
    50. Distance Time Graph For Self Directed Learning
    51. Graphing on Graph Paper
    52. Solving percents with a bar model
    53. Balance Beam Equations
    54. Solving Proportions
    55. Numberline
    56. Adding and subtracting a negative integer
    57. Graphing Linear Equations in 2 Unknowns
    58. Ordered Pairs, Cartesian Coordinates Self Assessment
    59. Operation of 3 Sets #2
    60. Evaluating unknowns in Linear Equations in Two Variables and Graphing the Equations
    61. Linear Functions : Input Variable x and Output Variable y
    62. Speed, Distance & Time in Motion (RACE CAR)
    63. Distance Between Two Points (Length of Line Segment)
    64. Self Assess Distance Betw Two Points(Length of Line Segment)
    65. Forming Equation of a Straight Line Given Graph of Line
    66. Changes in Inequalities due to Multiplication and Division
    67. Fun With Number Pattern
    68. Representing Numbers on a Number Line
    69. Completing the Square Method in Quadratic Functions
    70. Expand Product of Two Linear Expressions (Area Method)
    71. Solve Simple Linear Equations (Apply Balance Concept)
    72. Algebra balance scales
    73. Equation Balance
    74. Graphing of Polynomial Functions Point by Point
    75. Sorting decimals from least to greatest
    76. Factorization of Quadratic Expressions Aided by Multiplication Frame
    77. Rational Expression Unit Pre-Assessment
    78. Function Machine 2
    79. Problem of movement
    80. Quadratic Formula - Approximate Solutions
    81. Coefficients of a general quadratic function
    82. Expand and Simplify Basic Algebraic Expression with Brackets
    83. Plotting graph of a function
    84. Concept of gradient(slope) of a line
    85. Midpoint between two points
    86. Concept of Cartesian coordinates
    87. Solving Simultaneous Linear Inequalities II (Self Directed Practice)
    88. Significant Figures Self Review 2
    89. Solve Simple Linear Equations (II)
    90. Maximum and Minimum Values of Inequalities in variables x and y
    91. Solving Simple Inequalities Game
    92. Copy of Simplifying Algebraic Fractions (Express as a Single fraction)
    93. Linear Equations in Two Variables - Solutions are points on Graph!
    94. Linear Equations in Two Variables - Solutions on the Graph
    95. Factorized Form of Quadratic Function
    96. Factorization involving Special Algebraic Identities (Perfect Squares and Difference of Squares)
    97. Exploration of roots of a quadratic equation (Copy)
    98. Connecting Angle between Two Lines and Trigonometric Ratios
    99. Gradient and Y Intercept of Straight Line & its Equation
    100. Multiplying integers (Copy)
  3. Geometry and Measurement
    1. Types of Triangles
    2. Bearings
    3. Angles in Opposite Segments
    4. Angles in the SemiCircle
    5. External Tangents to a Circle
    6. Introduction: Radians
    7. Congruent Triangles 3
    8. Basic Terms in Geometry
    9. Are the triangles congruent?
    10. Congruent Triangles Exploration 1
    11. Example 2
    12. Similar Figures
    13. Congruent Figures Activity
    14. Collinear Points (Definition Prompt)
    15. Triangle Angle Theorems
    16. Geometry Exercise (Basic) Problem 2 : Application of Tangent Radius Property
    17. Geometry Exercise (Basic) Problem 1 : Application of Tangent Radius Property
    18. Area of Parallelograms
    19. Deriving the Area Formula of a Parallelogram
    20. Bearings : Practice with Compass Reference
    21. Area of a Trapezium
    22. Acute Obtuse or Reflex Angles
    23. Angle of Elevation and Depression
    24. 10.2 Angles of elevation and depression(仰角和俯角)
    25. Angle of elevation and depression
    26. Angle of elevation - light house1
    27. Angle of Elevation & Angle of Depression 仰角和俯角
    28. Converse of Pythagoras Theorem : Self Assessment
    29. Lines representing equations of the form x = a and y = c
    30. Mathematical Modelling of Filling of Circular Water Tank
    31. Angle between line AB and radius of the circle (Tangent Radius)
    32. Perpendicular lines and their Gradients
    33. 3D Sphere, Hemisphere Volume and Total Surface Areas
    34. Cone Volume and Total Surface Area
    35. Total Surface Area & Volume of Cylinder (with net shown)
    36. Self Review Mensuration of Hemispherical Bowl
    37. Self Review Mensuration of Composite Cylinder & Hemisphere
    38. Self Review Mensuration of Composite Hemisphere & Cone
    39. Are the triangles congruent?
    40. Arc Length 1
    41. Pythagorean Triple Generator
    42. Indices (Positive Integer Index) : Introduction
    43. Relationship between Arc Length, Area of Sector, Radius and Angle (in degrees)
    44. Exploring the Converse of Pythagoras Theorem
    45. Shortest Distance between a Point and a Line (in Angle Bisector)
    46. Deriving area of trapezium by using a parallelogram
    47. Parallelogram Investigation - Area
    48. Quiz on Solving Right Triangles (Combined) 解直角三角形：合併測驗
    49. Net of cone
    50. Net of pyramid
    51. Net of prism
    52. Net of cylinder
    53. Different nets of cube
    54. Different nets of rectangular prism(cuboid)
    55. Area of kite
    56. Geometric properties of a quadrilateral
    57. Investigation - Corresponding angles, alternate angles and interior angles
    58. Let's Build Prisms
  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. Mean, Median, Mode, and Range
    32. Outlier Influence
    33. UCSS Math II 4.3.2 Example 1
    34. UCSS Math II 4.3.1 Example 3
    35. UCSS Math II 4.3.1 Example 2
    36. Stem and Leaf Plot Template
    37. Interactive Dot Diagram(with Illustration of Mean, Median)
    38. Comparing Histogram, Dot and Stem & Leaf Diagrams

1.

Introduction


    This chapter does not contain any resources yet.

2.

Numbers And Algebra

  • 1. Prime Factors - step by step
  • 2. Factorization - Visual illustration of divisor pairs
  • 3. Self Assessment : Quadratic Curve's Properties
  • 4. Determining the Equation of Straight Lines Given Two Points
  • 5. Slope Intercept Form of Equation of Straight Line - Quiz
  • 6. Bar Model for Problems on Ratio Rate Direct Proportion
  • 7. find LCM and GCD
  • 8. Self Review of Maps and Scales Problems
  • 9. Fraction Multiplication
  • 10. Randomized linear simultaneous equations
  • 11. Basic Algebra Terms
  • 12. Distributive Law of Multiplication over Addition ( Pictorial)
  • 13. Indices Part 4 : Negative Integral Indices
  • 14. Solve Simple Linear Equations
  • 15. UCSS Math III 2B.1.5 Example 4
  • 16. Rational Expressions
  • 17. Rational Expression Unit Test
  • 18. "Pass the Paper" Problems- Adding & Subtracting REs
  • 19. Example 4
  • 20. Guided Practice Sheets
  • 21. Anchor Activities
  • 22. Example 1
  • 23. Simplify Expressions, More Complicated-Section 1.4
  • 24. Factoring Quadratic Expressions 3
  • 25. Multiplication Frame, Algebraic Factorisation.
  • 26. Factorization of Special Products
  • 27. Expansion of Linear Factors Using Multiplication Frame
  • 28. Proportional Thinking using Model-Table-Proportion(Algebra) Representations
  • 29. Solving Equations where Product of Linear Factors Equals Zero
  • 30. Map Scales (1)
  • 31. Map Scales(2)
  • 32. Binomial Multiplication
  • 33. Completing the square
  • 34. Magic machine for function
  • 35. Equivalent Fractions Puzzel
  • 36. Story of Rice on Chessboard : - Exponential Doubling
  • 37. sieve of eratosthenes
  • 38. Sieve of Eratosthenes
  • 39. Sieve of Eratosthenes
  • 40. Function Machine
  • 41. Percentages: Selling Problems, Profit & Loss
  • 42. Equivalent Linear Equations
  • 43. Solving Linear Inequalities (Level 2) Game
  • 44. Significant Figures Self Directed Quiz
  • 45. Smallest n such that m × n is a perfect square
  • 46. Smallest k such that m × k is a perfect cube
  • 47. Finding the ratio x : y given algebraic equation ax + by = cx + dy
  • 48. Fraction Division5:　x ÷ a/b (Quotitive)
  • 49. Speed Time Graph for Self Directed Learning (Customizable)
  • 50. Distance Time Graph For Self Directed Learning
  • 51. Graphing on Graph Paper
  • 52. Solving percents with a bar model
  • 53. Balance Beam Equations
  • 54. Solving Proportions
  • 55. Numberline
  • 56. Adding and subtracting a negative integer
  • 57. Graphing Linear Equations in 2 Unknowns
  • 58. Ordered Pairs, Cartesian Coordinates Self Assessment
  • 59. Operation of 3 Sets #2
  • 60. Evaluating unknowns in Linear Equations in Two Variables and Graphing the Equations
  • 61. Linear Functions : Input Variable x and Output Variable y
  • 62. Speed, Distance & Time in Motion (RACE CAR)
  • 63. Distance Between Two Points (Length of Line Segment)
  • 64. Self Assess Distance Betw Two Points(Length of Line Segment)
  • 65. Forming Equation of a Straight Line Given Graph of Line
  • 66. Changes in Inequalities due to Multiplication and Division
  • 67. Fun With Number Pattern
  • 68. Representing Numbers on a Number Line
  • 69. Completing the Square Method in Quadratic Functions
  • 70. Expand Product of Two Linear Expressions (Area Method)
  • 71. Solve Simple Linear Equations (Apply Balance Concept)
  • 72. Algebra balance scales
  • 73. Equation Balance
  • 74. Graphing of Polynomial Functions Point by Point
  • 75. Sorting decimals from least to greatest
  • 76. Factorization of Quadratic Expressions Aided by Multiplication Frame
  • 77. Rational Expression Unit Pre-Assessment
  • 78. Function Machine 2
  • 79. Problem of movement
  • 80. Quadratic Formula - Approximate Solutions
  • 81. Coefficients of a general quadratic function
  • 82. Expand and Simplify Basic Algebraic Expression with Brackets
  • 83. Plotting graph of a function
  • 84. Concept of gradient(slope) of a line
  • 85. Midpoint between two points
  • 86. Concept of Cartesian coordinates
  • 87. Solving Simultaneous Linear Inequalities II (Self Directed Practice)
  • 88. Significant Figures Self Review 2
  • 89. Solve Simple Linear Equations (II)
  • 90. Maximum and Minimum Values of Inequalities in variables x and y
  • 91. Solving Simple Inequalities Game
  • 92. Copy of Simplifying Algebraic Fractions (Express as a Single fraction)
  • 93. Linear Equations in Two Variables - Solutions are points on Graph!
  • 94. Linear Equations in Two Variables - Solutions on the Graph
  • 95. Factorized Form of Quadratic Function
  • 96. Factorization involving Special Algebraic Identities (Perfect Squares and Difference of Squares)
  • 97. Exploration of roots of a quadratic equation (Copy)
  • 98. Connecting Angle between Two Lines and Trigonometric Ratios
  • 99. Gradient and Y Intercept of Straight Line & its Equation
  • 100. Multiplying integers (Copy)

2.1.

Prime Factors - step by step

Enter a positive integer and explore it's decomposition into prime factors.[br]If the factoring doesn't fit in the screen height - a scroll bar appears on the left.
– Ethan Hall

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3.

Geometry and Measurement

  • 1. Types of Triangles
  • 2. Bearings
  • 3. Angles in Opposite Segments
  • 4. Angles in the SemiCircle
  • 5. External Tangents to a Circle
  • 6. Introduction: Radians
  • 7. Congruent Triangles 3
  • 8. Basic Terms in Geometry
  • 9. Are the triangles congruent?
  • 10. Congruent Triangles Exploration 1
  • 11. Example 2
  • 12. Similar Figures
  • 13. Congruent Figures Activity
  • 14. Collinear Points (Definition Prompt)
  • 15. Triangle Angle Theorems
  • 16. Geometry Exercise (Basic) Problem 2 : Application of Tangent Radius Property
  • 17. Geometry Exercise (Basic) Problem 1 : Application of Tangent Radius Property
  • 18. Area of Parallelograms
  • 19. Deriving the Area Formula of a Parallelogram
  • 20. Bearings : Practice with Compass Reference
  • 21. Area of a Trapezium
  • 22. Acute Obtuse or Reflex Angles
  • 23. Angle of Elevation and Depression
  • 24. 10.2 Angles of elevation and depression(仰角和俯角)
  • 25. Angle of elevation and depression
  • 26. Angle of elevation - light house1
  • 27. Angle of Elevation & Angle of Depression 仰角和俯角
  • 28. Converse of Pythagoras Theorem : Self Assessment
  • 29. Lines representing equations of the form x = a and y = c
  • 30. Mathematical Modelling of Filling of Circular Water Tank
  • 31. Angle between line AB and radius of the circle (Tangent Radius)
  • 32. Perpendicular lines and their Gradients
  • 33. 3D Sphere, Hemisphere Volume and Total Surface Areas
  • 34. Cone Volume and Total Surface Area
  • 35. Total Surface Area & Volume of Cylinder (with net shown)
  • 36. Self Review Mensuration of Hemispherical Bowl
  • 37. Self Review Mensuration of Composite Cylinder & Hemisphere
  • 38. Self Review Mensuration of Composite Hemisphere & Cone
  • 39. Are the triangles congruent?
  • 40. Arc Length 1
  • 41. Pythagorean Triple Generator
  • 42. Indices (Positive Integer Index) : Introduction
  • 43. Relationship between Arc Length, Area of Sector, Radius and Angle (in degrees)
  • 44. Exploring the Converse of Pythagoras Theorem
  • 45. Shortest Distance between a Point and a Line (in Angle Bisector)
  • 46. Deriving area of trapezium by using a parallelogram
  • 47. Parallelogram Investigation - Area
  • 48. Quiz on Solving Right Triangles (Combined) 解直角三角形：合併測驗
  • 49. Net of cone
  • 50. Net of pyramid
  • 51. Net of prism
  • 52. Net of cylinder
  • 53. Different nets of cube
  • 54. Different nets of rectangular prism(cuboid)
  • 55. Area of kite
  • 56. Geometric properties of a quadrilateral
  • 57. Investigation - Corresponding angles, alternate angles and interior angles
  • 58. Let's Build Prisms

3.1.

Types of Triangles

Drag point C. [br][br]Create the different types of triangles: scalene, acute, isosceles, obtuse, equilateral, right.
This application shows approximations of ideal types.
– GeoGebra Materials Team

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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. Mean, Median, Mode, and Range
  • 32. Outlier Influence
  • 33. UCSS Math II 4.3.2 Example 1
  • 34. UCSS Math II 4.3.1 Example 3
  • 35. UCSS Math II 4.3.1 Example 2
  • 36. Stem and Leaf Plot Template
  • 37. Interactive Dot Diagram(with Illustration of Mean, Median)
  • 38. Comparing Histogram, Dot and Stem & Leaf Diagrams

4.1.

Tree Diagrams

A worksheet to see how tree diagrams work.
– Derrick Harkness

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Information