Abstract: Mathematics and Physics are two scientific subjects that are interrelated to each other. Physics provides Mathematics with methods to solve problems. In this report, we present some problems that clarify the relationship between Mathematics and Physics. In particular, we present mathematical contents that are related to the following problems: the path of light rays through a flat mirror and the axial symmetry; the path of light rays through the circular mirror; the path of light rays through the elliptical mirror; time travel of light rays through two different environments; mechanics and Fermat points in the triangle. Then we propose the methods in integrated teaching Mathematics and Physics in high schools.
Keywords: Polya G., integrated teaching, optical, mechanics, minimum value.