# 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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### Sloping triangle

In this resource scalene triangles are drawn on a square grid. The challenge is to find the area of the triangle.

On each student worksheet there is a different triangle, but the solutions all have something in common.

One way to find the area is to enclose the triangle in a right-angled triangle, and...

### Straight line and circle

In this resource students are challenged to determine the equation of the line that goes through a given coordinate point and is also tangential to a circle centred on the origin. The final step is to determine the radius of the circle.

The solution involves determining the gradient of the tangent and also...

### Two crescents and a triangle

This resource contains a diagram made from a circle, four semi-circular arcs and a rectangle with dimensions given in surd form. The challenge is to find the total area of a given shaded area.

The student worksheets each contain different dimensions for the diagram, but the solutions all have something in...

### 4 squared fractions presentation

In this resource students are asked to find the value of several calculations that involve addition, subtraction and the squaring of fractions. Students are asked to spot patterns and similarities within the questions in order to generalise. The investigation concludes bu using algebra to prove their conjectures....