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:
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Sine Rule
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Cosine Rule
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Area of a circle
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Area of a kite
- Circle theorems
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Perpendicular lines
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Similar triangles
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Angles in a Polygon
Resources
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Polygon in Annulus
A polygon of side length two is shown with a circle circumscribing its vertices. A second circle is shown with the sides of the polygon tangential to the circle. The challenge is to calculate...
Crossed Lines
The equations of two intersecting lines are given. The challenge is to use Pythagoras’ theorem to show that the triangle formed by the lines and the y-axis is a right-angle. The point of intersection is determined by solving simultaneous equations.
Each example is derived from a pair of perpendicular lines....
Straight Line
A straight line is shown with the x and y axis intercepts shown. A point P is marked on the line but the coordinates are not given. P is then joined back to the origin, splitting the triangle into two parts. The challenge is to find the area of...
Strange Guys
Two verticals masts on a horizontal base have ropes tethered to each other’s base. The challenge is to find the height at which the ropes cross. When working on numerical examples, it becomes...
Pages
| Subject(s) | Mathematics |
|---|---|
| Age | 11-14, 14-16 |
| Published | 2010 to 2019 |
| Published by | |
| Collections | |
| Direct URL | https://www.stem.org.uk/cxewsr |
