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Resources tagged with Invariance properties similar to An Introduction to Mathematical Structure:

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Broad Topics > Transformations and their Properties > Invariance properties

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Shuffles

Stage: 5 Challenge Level: Challenge Level:1

An environment for exploring the properties of small groups.

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Stereoisomers

Stage: 5 Challenge Level: Challenge Level:1

Put your visualisation skills to the test by seeing which of these molecules can be rotated onto each other.

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Three Way Split

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

Take any point P inside an equilateral triangle. Draw PA, PB and PC from P perpendicular to the sides of the triangle where A, B and C are points on the sides. Prove that PA + PB + PC is a constant.

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The Why and How of Substitution

Stage: 5

Step back and reflect! This article reviews techniques such as substitution and change of coordinates which enable us to exploit underlying structures to crack problems.

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Take a Square

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

Cut off three right angled isosceles triangles to produce a pentagon. With two lines, cut the pentagon into three parts which can be rearranged into another square.


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