Plastic Fraction Circles

Plastic Fraction Circles

A set of plastic circle fractions got me thinking. How many ways can a circle be constructed if your smallest piece is 1/6? If your smallest piece is 1/6, there are six ways to complete the circle. Here we see the front and back view of one proposed solution. Is it...
Zome – geometric construction

Zome – geometric construction

Zome Zome is a manipulative that is excellent for the upper grades – however it takes time to put away and is fragile. Nevertheless, there is no manipulative so versatile on the market, so it should be considered. I am now equally in favour (especially for...
64 = 65 Mathemagical Proof

64 = 65 Mathemagical Proof

64 = 65 Mathemagical Proof (Martin Gardner) Get your older students to break apart a convincing mathemagical trick by linking it to the Fibonacci sequence and calculating the slopes of some line segments. Younger students derive a lot of pleasure by figuring out that...
Taxi Cab Squares (geometry)

Taxi Cab Squares (geometry)

 Taxi Cab Squares  (inspired by the Inscribed square problem of Otto Toeplitz, 1911) Give your students practice with Cartesian coordinates as they explore a new variant of a famous, unsolved problem of Otto Toeplitz (1911). This problem has a very wide spectrum of...
Rainbow Squares

Rainbow Squares

Rainbow Squares is a challenge inspired by Henri Picciotto. Each rainbow arc needs to be anchored at two integers that sum to a square. Here we have tried to find a solution for 1-10, but have failed because the last two numbers, 2 and 3, do not sum to a square. Is...