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Resources tagged with Shape, space & measures - generally similar to Ford Circles:

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Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

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Broad Topics > 2D Geometry, Shape and Space > Shape, space & measures - generally

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Triangles in the Middle

Stage: 3, 4 and 5 Challenge Level: Challenge Level:1

This task depends on groups working collaboratively, discussing and reasoning to agree a final product.

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The Development of Spatial and Geometric Thinking: 5 to 18

Stage: 1, 2, 3 and 4

This is the first article in a series which aim to provide some insight into the way spatial thinking develops in children, and draw on a range of reported research. The focus of this article is the. . . .

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What Is the Circle Scribe Disk Compass?

Stage: 3 and 4

Introducing a geometrical instrument with 3 basic capabilities.

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Fitting In

Stage: 4 Challenge Level: Challenge Level:1

The largest square which fits into a circle is ABCD and EFGH is a square with G and H on the line CD and E and F on the circumference of the circle. Show that AB = 5EF. Similarly the largest. . . .

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Arclets Explained

Stage: 3 and 4

This article gives an wonderful insight into students working on the Arclets problem that first appeared in the Sept 2002 edition of the NRICH website.

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Circumspection

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

M is any point on the line AB. Squares of side length AM and MB are constructed and their circumcircles intersect at P (and M). Prove that the lines AD and BE produced pass through P.

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Arranging Squares

Stage: 3, 4 and 5 Challenge Level: Challenge Level:1

A task which depends on members of the group working collaboratively to reach a single goal.

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Lawnmower

Stage: 4 Challenge Level: Challenge Level:1

A kite shaped lawn consists of an equilateral triangle ABC of side 130 feet and an isosceles triangle BCD in which BD and CD are of length 169 feet. A gardener has a motor mower which cuts strips of. . . .

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Fitting Flat Shapes

Stage: 5 Challenge Level: Challenge Level:1

How efficiently can various flat shapes be fitted together?

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Make Your Own Solar System

Stage: 2, 3 and 4 Challenge Level: Challenge Level:1

Making a scale model of the solar system

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Natural Shapes

Stage: 4 Challenge Level: Challenge Level:1

How does shape relate to function in the natural world?

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Triangle Incircle Iteration

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Keep constructing triangles in the incircle of the previous triangle. What happens?

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Euclid? No, but Carol, Yes

Stage: 4

For teachers. About the teaching of geometry with some examples from school geometry of long ago.

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Long Short

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

What can you say about the lengths of the sides of a quadrilateral whose vertices are on a unit circle?