write down
To put information on paper so you can remember it.
To write down means to record information on paper or another surface so you won't forget it. When your teacher says something important, you might write it down in your notebook. When your mom gives you a phone number, you write it down on a sticky note so you can call later.
Writing things down helps us remember information that might otherwise slip away. Your brain can only hold so much at once, but once something is written down, you can refer back to it whenever you need it. Scientists write down their observations during experiments. Reporters write down quotes during interviews. You might write down a brilliant idea for a story before you forget it.
The phrase can also mean to record something officially or formally. A police officer might write down a witness's statement. A doctor might write down notes about a patient's symptoms.
People often say they need to write something down when they want to capture a thought before it vanishes. The simple act of writing helps fix ideas in your memory, even if you never look at those notes again.