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Resources tagged with Rational and irrational numbers similar to The Dangerous Ratio:

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Broad Topics > Numbers and the Number System > Rational and irrational numbers

The Dangerous Ratio

Stage: 3

This article for pupils and teachers looks at a number that even the great mathematician, Pythagoras, found terrifying.

An Introduction to Proof by Contradiction

Stage: 4 and 5

An introduction to proof by contradiction, a powerful method of mathematical proof.

The Square Hole

Stage: 4 Challenge Level:

If the yellow equilateral triangle is taken as the unit for area, what size is the hole ?

Equal Equilateral Triangles

Stage: 4 Challenge Level:

Using the interactivity, can you make a regular hexagon from yellow triangles the same size as a regular hexagon made from green triangles ?

Rationals Between...

Stage: 4 Challenge Level:

What fractions can you find between the square roots of 65 and 67?

What Are Numbers?

Stage: 2, 3, 4 and 5

Ranging from kindergarten mathematics to the fringe of research this informal article paints the big picture of number in a non technical way suitable for primary teachers and older students.

Repetitiously

Stage: 3 Challenge Level:

The number 2.525252525252.... can be written as a fraction. What is the sum of the denominator and numerator?

An Introduction to Irrational Numbers

Stage: 4 and 5

Tim Rowland introduces irrational numbers

Making Rectangles, Making Squares

Stage: 3 Challenge Level:

How many differently shaped rectangles can you build using these equilateral and isosceles triangles? Can you make a square?