Spectral sequences and the Beilinson t-structure

I will explain a conceptual method for arriving at all pages of a spectral sequence by using the Beilinson t-structure and décalage. Time-permitting, I will explain two applications, one to the multiplicativity of spectral sequences and one to the comparison of the CW and Postnikov approaches to the construction of the Atiyah—Hirzebruch spectral sequence.