**toni**

## October 21 lesson Activities to Develop Understanding and Skills

*By toni On 19 October, 2019 · Leave a Comment*

EXAM PREP & REVISION FOR MATRIC

GRADE 4 DIVISION OF WHOLE NUMBERS

GRADE 5 POSITION, MOVEMENT & COORDINATES

GRADE 7 ALGEBRAIC EXPRESSIONS & EQUATIONS

GRADE 8 TRANSFORMATION GEOMETRY

GRADE 9 COLLECT, SUMMARIZE & REPRESENT DATA

Click […]

## Years 2 to 10 The 30-minute Fractals Lesson and Follow Up Lessons

*By toni On 16 September, 2019 · Leave a Comment*

Start by watching the video https://youtu.be/B2dkNPaTmDY

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 […]

## Years 7 to 12 Squareflake Fractal

*By toni On 14 September, 2019 · Leave a Comment*

1. If the red square has area 1 square unit. What is the area enclosed by the stage 1 squareflake?

2. What is the area enclosed by the stage 2 squareflake? What about the stages 3 and 4 squareflakes?

3. If replacing each line segment on the edge with the zig-zag is […]

## Years 4 to 10 Make a von Koch poster

*By toni On 12 September, 2019 · Leave a Comment*

The curve, also known as the ‘snowflake curve’, was invented in 1904 by the Swedish mathematician Helge von Koch.

Take a large piece of backing paper, and either draw an equilateral triangle with edges of length 27 cm or cut a triangle from coloured paper and stick it on […]

## Grades 6 to 12 Sierpinski Number and Shape Patterns

*By toni On 11 September, 2019 · 2 Comments*

In March 2014 and February 2015 Bubblz the Mathematical Clown and the Pyraloons built Guinness World Record breaking Balloon Model Sierpinski Pyramids to raise funds for AIMSSEC. The photo shows the triumphant team in a shopping mall in Cambridge, UK and their 6.5 metre high pyramid.

The smallest pyramid is made from […]

## Years 10 to 12 The von Koch Curve

*By toni On 10 September, 2019 · Leave a Comment*

Image starting with an equilateral triangle and replacing each edge by a zig-zag curve made up of 4 pieces. Each of the 4 pieces is one third of the length of the line segment it replaces so it looks as if equilateral triangles have been attached to the shape. Now imagine repeating […]

## Years 9 to 12 Pascal’s Triangle and Fractal Patterns

*By toni On 8 September, 2019 · Leave a Comment*

Can you see what the rule is for filling numbers in the hexagons? Continue the pattern using the same rule. If you get it right the bottom row will start 1, 9, 36, 84, …

Shade the hexagons where the number inside is odd all in one colour. Using a contrasting colour, […]

## Years 6 to 12 Flower of Life

*By toni On 16 July, 2019 · Leave a Comment*

Describe the picture? What do you notice? Talk with your friends about it. What shapes can you see in it?

Describe the different symmetries. Draw the picture yourself. Draw your own designs using this idea. Can you explain how this 2-dimensional picture appears to show a 3-dimensional object?

You could use paperclip […]

## Years 6 to 12 Ishango Bone

*By toni On 9 July, 2019 · Leave a Comment*

The numbers 3, 5, 7, 11, 13, 17 and 19 are prime numbers. Can you make a total of 60 from four of these numbers?

One of three columns of tally marks on The Ishango Bone gives the answer to this question. Found in the Ishango region of the Democratic Republic of […]

## Years 8 – 12 Elephant Dreaming

*By toni On 3 July, 2019 · Leave a Comment*

Copy the picture to draw this spiral. Then create your own elephant. The numbers in the centres of the squares give the radii of the quarter circles that you need to draw.

What do you notice about this sequence of numbers 1, 1, 2, 3, 5, 8, 13, 21 … ? […]

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