Did Jesus ever directly say he would die as a voluntary sacrifice? If so, was it double sense? I know evangelical literature like John 3:16:


  For God so loved the world, that he gave his only Son, that whoever believes in him should not perish but have eternal life. 


says Jesus died to redeem mankind.  However, I suspect these are only later interpretations. Did Jesus himself ever say his death would be a sacrifice?

If so, would it have a double meaning in Greek?  In Czech, English and German, one could use the phrase "he died for humans' sins" in sense of "because of" - that is, his death was humanity's fault, the fault of the Romans who crucified him.

(I think I understand the evangelical message so I'm not asking how Christians see it today, so I'm not looking for a "stretch" of a Jesus quote, but rather a quote that is plain in meaning.)
The most obvious answer is Jesus' words to his disciples at the Last Supper, in Matthew's version:


  this is my blood of the covenant, which will be shed on behalf of many for the forgiveness of sins.


(Matthew 26:28, New American Bible Revised Edition)