Reproductive rights are the rights of others to make informed choices about their reproduction; it is often described as the right to determine the number and spacing of one's children. This differs from (yet overlaps with) sexual rights.
Now, there are two parts to this. First is the right to be informed, which consists of comprehensive sex ed as early and as often as possible.
The next is the implementation of the informed choice, consisting of such things as sexual privacy, the right to contraception, and the right to say no.
A clarification of what reproductive rights do NOT include:
Abortion is not and can never be a reproductive right because it kills an offspring that has already been produced. Humans are a sexually reproducing species, and, like all such species, reproduce through a couple steps. Meiosis produces gametes and the gametes. The second stage, the fusion of an egg and a sperm to create an offspring (fertilization) is where the sexual reproduction takes place.
Abortion takes place after reproduction has occurred, and, as such, cannot be classified as a reproductive right. Even if humans reproduced asexually with a new organism produced at birth, Hyde-esque amendments would not violate reproductive rights for the same reason the Second Amendment doesn't give us taxpayer-funded firearms.
As Personhood.net said, "The fundamental human right is the right to life itself. This is true of life from its earliest stage of development until natural death. Abortion, consequently, cannot be a human right—it is the very opposite.".