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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
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Three Circles and a Tangent
Three circles are shown touching and sharing a common tangent. The radii of the two larger circles are given. The challenge is to calculate the value of the radius of the smallest circle....
What’s the Sine Rule Ratio?
A triangle is shown divided into two regions by a straight line, resulting in the triangle being split into a smaller triangle and a cyclic quadrilateral. A task is set to determine the ratio of an angle and an opposite side. In each of the numerical examples given the answer to 6 significant figures is 14.
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Criss-crossing
In this resource students are given four coordinate points and asked to find the equation of the lines that connect them. The four lines intersect to form a rectangle- can students find the area of the rectangle?
Each student worksheet contains different coordinate points, but the solutions all have...
Determine the diagonals
In this resource students are given a quadrilateral with one angle of 60 degrees and varying side lengths- with two of the sides of equal length. The challenge is to calculate the lengths of the diagonals.
Each student worksheet contains a different quadrilateral, but the solutions all have something in...