Resources for lower secondary math

Matebo, Oct 27, 2024

A collection of interactive applets for lower secondary levels focussing on geometric transformations, areas of polygons, linear equations and their graphs, etc.

Table of Contents

  1. Geometric transformations
    1. Translation intro
    2. Translate the dog to the bone (Basic)
    3. Translate dog to bone next level
    4. Translation: practice & auto marking
    5. Rotation - intro
    6. "A-Mazing" translation & rotation practice
    7. Reflection with 3D visualisation
    8. Reflection over a line - Practice
    9. Enlargement transformation
    10. Mooove the cow
    11. Reflection of a reflection
    12. Triangle Angle Sum Theorem (V4)
    13. Transform yourself
  2. Areas of shapes
    1. Area of Parallelograms
    2. Area of a Triangle (V3)
    3. Areas within a rectangle
    4. The answer is 72, but why?
    5. Parallelograms: area and perimeter
    6. Finding the area of trapezium using triangles
    7. Area of trapezium - discovery
    8. Area of Circles
    9. Area of circle inscribed in 3-4-5 triangle
    10. Investigate the area of circle inscribed in a right-angle triangle
    11. Investigate how the radius of the inscribed circle is related to the area and perimeter of the triangle
    12. Construct yourself
  3. Nets of polygons
    1. A box and its net
    2. 11 nets of a cube
    3. Nets of prisms
    4. Nets of pyramids
  4. Transformation of functions
    1. Copy of Slope of a Straight Line
    2. Explore y = ax + b
    3. Derive y = ax + b from graph
    4. Derive y = ax + b from table
    5. Explore ax^2 + bx + c
    6. Explore y = a(x-h)^2 + k
    7. Quadratic curve-fitting
  5. Probability & Statistics
    1. Simulation dice roll
    2. Box and Whisker Plot: What Do You Notice?

1.

Geometric transformations

  • 1. Translation intro
  • 2. Translate the dog to the bone (Basic)
  • 3. Translate dog to bone next level
  • 4. Translation: practice & auto marking
  • 5. Rotation - intro
  • 6. "A-Mazing" translation & rotation practice
  • 7. Reflection with 3D visualisation
  • 8. Reflection over a line - Practice
  • 9. Enlargement transformation
  • 10. Mooove the cow
  • 11. Reflection of a reflection
  • 12. Triangle Angle Sum Theorem (V4)
  • 13. Transform yourself

1.1.

Translation intro

Use the sliders to translate
– Matebo

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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1.8.

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1.9.

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1.10.

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1.11.

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1.12.

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1.13.

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2.

Areas of shapes

  • 1. Area of Parallelograms
  • 2. Area of a Triangle (V3)
  • 3. Areas within a rectangle
  • 4. The answer is 72, but why?
  • 5. Parallelograms: area and perimeter
  • 6. Finding the area of trapezium using triangles
  • 7. Area of trapezium - discovery
  • 8. Area of Circles
  • 9. Area of circle inscribed in 3-4-5 triangle
  • 10. Investigate the area of circle inscribed in a right-angle triangle
  • 11. Investigate how the radius of the inscribed circle is related to the area and perimeter of the triangle
  • 12. Construct yourself

2.1.

Area of Parallelograms

Drag the red point to change the shape of the parallelogram.[br][b]Is the area of the parallelogram always equal to that of the rectangle? What is the area of the parallelogram?[/b][br]Check the "Dissect" box to explore.
Anthony Or. GeoGebra Institute of Hong Kong.
– Anthony OR 柯志明

2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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2.7.

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2.8.

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2.9.

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2.10.

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2.11.

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2.12.

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3.

Nets of polygons

  • 1. A box and its net
  • 2. 11 nets of a cube
  • 3. Nets of prisms
  • 4. Nets of pyramids

3.1.

A box and its net

– Matebo

3.2.

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3.3.

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3.4.

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4.

Transformation of functions

  • 1. Copy of Slope of a Straight Line
  • 2. Explore y = ax + b
  • 3. Derive y = ax + b from graph
  • 4. Derive y = ax + b from table
  • 5. Explore ax^2 + bx + c
  • 6. Explore y = a(x-h)^2 + k
  • 7. Quadratic curve-fitting

4.1.

Copy of Slope of a Straight Line

– Matebo, Anthony OR 柯志明

4.2.

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4.3.

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4.4.

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4.5.

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4.6.

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4.7.

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5.

Probability & Statistics

  • 1. Simulation dice roll
  • 2. Box and Whisker Plot: What Do You Notice?

5.1.

Simulation dice roll

– Matebo

5.2.

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