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Resources tagged with Invariance properties similar to The Why and How of Substitution:

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Broad Topics > Transformations and constructions > Invariance properties

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The Why and How of Substitution

Age 16 to 18

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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Three Way Split

Age 14 to 16 Challenge Level:

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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Stereoisomers

Age 16 to 18 Challenge Level:

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

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Shuffles

Age 16 to 18 Challenge Level:

An environment for exploring the properties of small groups.

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Take a Square

Age 14 to 16 Challenge Level:

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.