Solana is a blockchain built around one priority: speed. Where some networks focus on being maximally decentralized or maximally secure, Solana was designed to process a very high number of transactions quickly and cheaply.
Staking is what proof of stake looks like from a regular user's side. Once you understand that a network is secured by tokens locked up as collateral, staking is simply how you take part in that.
Every blockchain needs a way to decide whose version of the record is the correct one. That process is called consensus, and proof of stake is one of the main approaches in use today.
A smart contract is easier to grasp with a plain example. Imagine a vending machine. You put in the right amount, you press the button, and the machine releases your item. No cashier, no negotiation. The rules are built into the machine, and it follows them every time.
In traditional banking, the bank holds your money and you prove who you are to access it. Crypto works differently, and private keys are the reason why.
Bitcoin is where the entire crypto market began. It launched in 2009 as the first working example of digital money that doesn't need a bank or a government standing behind it. Everything that came afterward is, in some way, a response to it.
Every cryptocurrency you've heard of runs on the same underlying invention: the blockchain. Before you look at any individual coin, this is the concept worth understanding first, because everything else builds on top of it.