We consider the joint source-channel coding problem of sending a Gaussian source over a single input-single output (SISO) fading channel when the decoder has additional correlated side information whose quality is also time-varying. We assume a block fading model for both the channel and side information qualities, and assume perfect state information at the receiver, while the transmitter has only a statistical knowledge. We are interested in the expected squared-error distortion for this system. We study separate source-channel coding,uncoded transmission and a joint source-channel transmission scheme based on joint decoding at the receiver. We then extend joint decoding scheme technique to hybrid digital-analog and multi-layer schemes. We provide numerical results in the finite SNR regime, and derive closed form expressions for the distortion exponent in the high SNR regime.