# Something in Common: Geometry

This sub-collection of resources from the ‘Something in Common’ collection contains 22 resources designed to bring a problem solving approach to the teaching of geometry at Key Stages 3 and 4. Each resource has an introductory presentation, printed materials, and additionally many have supporting files in either Excel or Geogebra format. The topics covered are:

• Sine Rule

• Cosine Rule

• Area of a circle

• Area of a kite

• Circle theorems
• Perpendicular lines

• Similar triangles

• Angles in a Polygon

## Resources

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### Pick a Polygon

A square-based dotted grid is given. An initial investigation involved drawing triangles on the grid and determining the area, number of dots on the perimeter, and number of dots enclosed by...

### Sea Shell Product

A unit circle is marked off in equal arc lengths. The resulting points are joined back to a single point. The challenge is to find the products of the lengths of the chords drawn in each circle...

### Squaring the rectangle

On the left, a rectangle is given and the challenge is to construct a square to the right of it that has an equal area and sharing a common vertex with the rectangle. The construction must be...

### How Many Sides

A section of a regular polygon is shown with diagonals drawn from a hidden vertex. The angle between two diagonals their corresponding sides are given. The challenge is to work out how many...