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Patterns in shapes

Look at these two shapes.

Two closed shapes: on the left, a random curved scribble; on the right, a rectangle.

The shape on the left is a scribble -- there is no

regularity

to it.

But the shape on the right definitely has some structure. Here are some of its properties:

  • the opposite sides are parallel and the same length
  • all the angles are equal
  • it is symmetrical about vertical and horizontal mirror lines.

These properties are like rules that tell you how the shape is made. So this shape has a definite pattern.

An exploration of shapes and their properties should therefore be included in patterning activities.

Many of these shapes (like the rectangle above) can be found

everywhere

around us

; others may be constructed using the ideas that arise in exploring our environment.

Shapes can also be used as units in

repeating patterns

and

growing patterns

.

The language of shapes

Pattern blocks provide an excellent introduction to some basic geometrical concepts.