We suggest that two interpretations of time -- linear time and cyclical time -- that complement each other when planning lessons, can be used in both Western and Indigenous science. The idea of time in the Australian Curriculum: Science is examined and seen to be primarily associated with the Western science tradition, so it is suggested that the curriculum could be more inclusive of Indigenous ways of thinking with transdisciplinary links to mathematics also being included. It is suggested that the inclusion of the 'Aboriginal and Torres Strait Islander Histories and Cultures' cross-curriculum priority into science can be achieved in three ways: as Indigenous perspectives, through the Two-Ways approach, and through the Two-Ways approach with epistemic insight. Possible activities relating to seasons and cycles are suggested for the inclusion of these Indigenous perspectives in the science classroom.