How t create the spiral of theodorus

Lesson plan Archived. Interests outside of teaching include learning and doing math, playing the piano, singing in a worship team, origami, kayaking, bicycling, swimming, collecting sea glass and shells.

The height should continue to be 1 unit.

how t create the spiral of theodorus

The side lengths of 1 will also be extended into a line that will never pass through any other vertices of the figure. Name required. MCAS Prep 01. Contact us if you are unable to get help from your teacher. December 12, 2013 at 2: This lesson also gives students a visual model for understanding and relating irrational numbers to the perfect squares they lie between.

Theodorus Spiral

Sometimes called a square root spiral or Theodorus spiral, this deceptively easy craft demonstrates mathematical relationships in an eye-catching way. Jan 6. Theodorus used this spiral to prove that all non-square integers from 3-17 are irrational.

how t create the spiral of theodorus

Construct triangle DBA. A K Peters, 1993.

This process can be done for each consecutive circle, by subtracting the area of the circle lying directly on top of it.

Each triangle has a side length of one representing the of the Pythagorean theorem, with the other sides filling in the spaces for the and in the theorem. Cookie Policy. Share this: Copyright 2019 Leaf Group Ltd. Please wait while your changes are saved.

how t create the spiral of theodorus

An updated version of this lesson plan is available.