Start by watching the video https://youtu.be/CWdmkoZgIoA

Each student should have a stage 3 Sierpinski triangle of edge length about 6.5 cm and a colouring pen, and should colour their triangle as shown by the black filling in the small diagram.

The class will make poster of a stage 6 Sierpinski triangle using 27 of the triangles that the students have coloured in. You can see how, at each stage, 3 triangles are used to make up the Sierpinski triangle at the next stage.

A fractal is infinite and these triangles are just building blocks. Imagine this process going on forever to form the Sierpinski fractal, by growing out getting bigger and shrinking in getting smaller.

Here is a poster made by a class of a stage 6 Sierpinski triangle.

If you want to extend the 30-minute lesson, and if you have enough time and space, if you have a big class, or if several classes combine their efforts, you might make a stage 7 poster with 81 triangles or even a stage 8 poster with 243 triangles.

NOTES FOR TEACHERS OF DIFFERENT AGE GROUPS

Click here for Notes for Teachers of Upper Primary and Secondary students.

Click here for Notes for Teachers of Lower Primary and Early Years and Support for Special Needs

Click to sign up for the GLOBAL MATHS LESSON on 10 October 2019

Short Explanation of the History of Fractals

Ages 5 to 7

Comparing Pyramids for young learners

Counting, Colours and Triangles for young learners

Ages 7 to 11

Global Maths Lesson – The World We Share – Bar charts

Make a von Koch Fractal Poster

Pascal’s Triangle – Number and Fractal Patterns – Multiples

Make a Sierpinski Tetrahedron with toothpicks or newspaper sticks

Make a Christmas Sierpinski Tetrahedron Tree

Ages 11 to 16

Global Maths Lesson – The World We Share – Bar charts

Global Maths Lesson – The World We Share – Pie charts

Pascal’s Triangle – Number and Fractal Patterns – Multiples

Make a von Koch Fractal Poster

The Squareflake Fractal

Sierpinski Triangle – follow-up questions and answers on Number Patterns, Lengths, Areas and Fractions

Sierpinski Tetrahedron – Number and Shape Patterns

Make a Sierpinski Tetrahedron with toothpicks or newspaper sticks

Make a Christmas Sierpinski Tetrahedron Tree

Order to Randomness Download a free booklet giving projects on Visualising Graphs, Really Long Curves, Reasoning and Proof, The Mandelbrot Set, Chaos

Ages 16+

Global Maths Lesson – The World We Share – Pie charts

The Squareflake Fractal

Pascal’s Triangle – Number and Fractal Patterns – Multiples and the Binomial Theorem

Sierpinski Triangle – follow-up questions and answers on Number Patterns, Lengths, Areas and Fractions

Sierpinski Tetrahedron – Number and Shape Patterns

The von Koch Curve – sequences and sums of geometric series

The Chaos Game