**"Geometric patterns"**

## Years 4 – 7 Tangram Pattern

*By toni On 11 August, 2020 · Leave a Comment*

Arrange the 7 tangram pieces to make the shape in the grey picture.

What do you notice about this shape?

Describe the shapes of the tangram pieces.

What is the same and what is different about the shapes of the tangram pieces?

Make a pattern of your own using all 7 pieces.

[…]

## Years 5 – 9 Path to the Stars

*By toni On 29 July, 2020 · Leave a Comment*

Is it possible to draw a 5-pointed star without taking your pencil off the paper?

When you turn this star around it looks exactly the same in 5 different positions so we say it has ROTATIONAL SYMMETRY of order 5.

Is it possible to draw a 6-pointed star in the same way […]

## Years 3 – 12 Frogs Puzzle

*By toni On 18 July, 2020 · Leave a Comment*

Five red-eye frogs and five orange frogs line up in a row with a space between them.

They have to change places but they can only hop, one frog over another frog or slide to an empty space next to them.

Red-eye frogs can […]

Look at this square divided into four pieces : two identical triangles and two identical trapezia.

The edge of length 3 from each triangle matches with the edge of length 3 from a trapezium so that the four pieces from the square now occupy a rectangular space.

The square had side length 8 […]

## Years 6 – 10 Matches

*By toni On 1 May, 2020 · Leave a Comment*

Find some sticks, they could be twigs, or matchsticks or cocktail sticks, or rolled paper sticks, or pasta like spaghetti broken into short lengths, but they must all be the same length.

Arrange 16 sticks into this pattern.

Here is a puzzle with more than one solution.

Can […]

## Years 5 – 10 How Many Squares?

*By toni On 24 April, 2020 · Leave a Comment*

How many squares can you make by joining four points on this grid?

Look for squares of different sizes and also tilted squares

Start with a 3 by 3 grid of nine dots. Can you find six squares?

Then go on to the 4 by 4 grid of sixteen dots.

What can you say […]

## Year 10 – 12 Linear Sequence

*By Kwethemba Moyo On 21 February, 2020 · Leave a Comment*

1.1 The square grids below the continuous line depict negative numbers and those above the line positive numbers. Study the square grids shown above with black squares forming a pattern. How is the pattern growing? Create square grids 9, 10 and 11; complete them with black squares to further develop the […]

## Years 10 – 12 Construct Geometrical Patterns

*By toni On 21 October, 2019 · Leave a Comment*

1. ENVELOPE PATTERNS WITH STRAIGHT LINES

These straight lines form a family and the curves that you see, called envelopes, are tangent to each line in the family.

Draw two base lines and mark the same number of points at equal distances along each line. Join the outermost point on one base […]

## Years 7 – 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 6 – 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 […]

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