606 projects · 13 streams · every class

Pure Mathematics projects 7

Patterns, proofs and constructions in algebra, geometry, number theory and calculus.

Difficulty

7 Pure Mathematics projects

Pure Mathematics + Biology

Count spirals on pine cones, sunflowers and pineapples and test whether they are Fibonacci numbers.

InvestigationHousehold materialsFull guide

Pure Mathematics · Geometry

Build paper dissections and algebraic proofs of the theorem and compare how each convinces.

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Pure Mathematics + Fine Arts

Find which regular polygons tile the plane and create an Escher-style tile.

Art ProjectHousehold materials

Pure Mathematics · Algebra

Build 3×3 and 4×4 magic squares and prove why the centre of a 3×3 must be 5.

InvestigationNo equipment

Pure Mathematics + Geography

Colour maps of states and districts with as few colours as possible and link it to graph colouring.

InvestigationHousehold materials

Pure Mathematics · Combinatorics

Build 16 rows of the triangle and discover at least six patterns hidden in it.

InvestigationHousehold materials

Pure Mathematics · Algebra

Learn three self-working card tricks and prove with algebra why each works.

PresentationHousehold materials