Upper Secondary Big Button

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Time to be irrational!

This feature invites you to explore some of the more interesting properties of irrational numbers, and see how they crop up in algebra and geometry. Spend some time being irrational, and see what you discover!
Irrational Constructions link

Irrational Constructions live

Stage: 5 Challenge Level: Challenge Level:1

What questions does the spiral construction prompt you to ask?

Staircase Sequences link

Staircase Sequences live

Stage: 5 Challenge Level: Challenge Level:1

Can you make sense of these unusual fraction sequences?

Irrational Roots link

Irrational Roots live

Stage: 5 Challenge Level: Challenge Level:1

You're used to working with quadratics with integer roots, but what about when the roots are irrational?

Nested Surds link

Nested Surds live

Stage: 5 Challenge Level: Challenge Level:1

Can you find values that make these surd statements true?