Frogs – a pdf file that gives background, how to solve the frogs problem, how to link it to solving quadratics, graph and formula work, where to find a proof as well as hints to the proof.

Frogs – a spreadsheet that can be used interactively to demonstrate the problem and complete activities noted in pdf file above.

Frogs – ActivInspire IWB file for pdf and spreadsheet files above.

Frogs – Original Sources for the problem

### Virtual Manipulatives

Two Frogs Virtual Manipulatives are given below (a main lesson and plenary following from it): they will not work on iPhones or iPads since they are flash files. They have some links to the resources above.

Frogs: lesson plenary flash file

The book below is one of the places where this activity can be found.

Mathematical Recreations and Essays (Dover Recreational Math)

**Solution to the Above Problem**