iGCSE

DrC, May 22, 2016

materials to support higher iGCSE Mathematics syllabus

Table of Contents

  1. geometry
    1. Classifying Quadrilaterals
    2. Angle Properties of Polygons
    3. Triangle Angle Theorems
    4. Proof Without Words
    5. Circle theorems
    6. Copy of Angles in the same Segment
    7. Circles and Angles 1
    8. Circles and Angles 2
    9. Circle Theorems - angles on the same arc
    10. Angle in a Semi-circle 1
    11. Angle in a Semi-circle 2
    12. Circle theorems - Cyclic Quadrilaterals
    13. Circle theorems - Cyclic quadrilaterals
    14. Cyclic Quadrilateral 3
    15. Transforming Quadratic Graphs 1
    16. 3-D Pythagoras
  2. transformations
    1. Transformations
  3. graphs
    1. Using gradient & Intercept
    2. Graphing Linear Inequalities Written in Standard Form (Quiz)
    3. cubic curves and equations
  4. statistics
  5. probability
  6. investigations
    1. Frieze Activity
    2. String Art Based on Bézier Curves
    3. Arbelos
    4. Interactive rolling hypocycloids

1.

geometry

  • 1. Classifying Quadrilaterals
  • 2. Angle Properties of Polygons
  • 3. Triangle Angle Theorems
  • 4. Proof Without Words
  • 5. Circle theorems
  • 6. Copy of Angles in the same Segment
  • 7. Circles and Angles 1
  • 8. Circles and Angles 2
  • 9. Circle Theorems - angles on the same arc
  • 10. Angle in a Semi-circle 1
  • 11. Angle in a Semi-circle 2
  • 12. Circle theorems - Cyclic Quadrilaterals
  • 13. Circle theorems - Cyclic quadrilaterals
  • 14. Cyclic Quadrilateral 3
  • 15. Transforming Quadratic Graphs 1
  • 16. 3-D Pythagoras

1.1.

Classifying Quadrilaterals

A closed polygon which has 4 sides is called a quadrilateral. Try to drag the points on the polygons in this activity to illustrate the different types of quadrilaterals listed below? The top one is done for you.
1) Is a square a rectangle? Why or why not?[br][br]2) Is a square a rhombus? Why or why not?[br][br]3) Is a square a parallelogram? Why or why not?[br][br]4) Is a square a quadrilateral? Why or why not?[br][br]5) Is a square a trapezoid? Why or why not?
– GeoGebra Materials Team

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1.9.

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1.11.

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1.12.

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1.13.

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2.

transformations

  • 1. Transformations

2.1.

Transformations

– DrC

3.

graphs

  • 1. Using gradient & Intercept
  • 2. Graphing Linear Inequalities Written in Standard Form (Quiz)
  • 3. cubic curves and equations

3.1.

Using gradient & Intercept

– DrC

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4.

statistics


    This chapter does not contain any resources yet.

5.

probability


    This chapter does not contain any resources yet.

6.

investigations

  • 1. Frieze Activity
  • 2. String Art Based on Bézier Curves
  • 3. Arbelos
  • 4. Interactive rolling hypocycloids

6.1.

Frieze Activity

Here is an example of the Frieze Activity. Please create your own unique pattern for the assignment. Be sure to follow ALL of the instructions on the back of the activity sheet.
– MisterZuidema

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