**Joining Congruent
Shapes
**

Introduction

I have compiled a number of tasks, all of which are based upon joining congruent shapes together. With regard to the content of the curriculum, the following skills and concepts can be accessed and developed or practised and consolidated:

• **producing a system
to try to prove completeness;**

**• symmetries of shapes
in 2-dimensions;**

**• planes and axes
of symmetry of 3-dimensional shapes ;**

**• tessellating shapes;**

**• counting the perimeter
of a shape;**

**• considering ideas
of maximum and minimum;**

**• calculating perimeter
of shapes using fractional values;**

**• calculating perimeter
of shapes using decimal values;**

**• exploring a (non-obvious)
sequence.**

__Starting points and
extension tasks__

**Joining isosceles right-angled triangles**(KS2 and KS3)

**Pythagoras on a right-angles isosceles grid**(KS3 and KS4)

**Exploring Dual Tessellations**(KS2, KS3, KS4)

**The 30º, 60º, 90º triangle**(KS2 and KS3)

*Flipping Triangles**Rotating Shapes*

**Making polyominoes & polyiamonds**(KS2 and KS3)

*Differentiation and Extensions Tasks***Joining congruent shapes by using combinations of:Full edge, part edge and their corners**(KS2 and KS3)

*Finding different perimeters**Exploring minimum perimeters*