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If you want to ask a girl out, then she should know who you are and have some kind of a relationship or friendship with you. You don't have to be best buddies, but she has to know you before you ask her out so she isn't totally thrown off guard. Talk to her after class, say hi on the playground, or even talk to her for a few minutes after school. Let her know a little bit about yourself, like if you have a sister or what sports you like, or what you like to do after school. If you really don't know her at all, just go up to her and say "Hi," or "What's up?" She'll like that you're comfortable with talking to her as long as you don't come on too strong. But if she's shy, anti-social, doesn't like you, or doesn't know you, the plan may backfire, so you want to maybe smile and wave to her some before going up. The girl should have an idea that you like her before you ask her out. She doesn't have to know for sure that you think she's really awesome, but she should have a sense that you think she's a cool girl before you ask her out so she's ready for your question. Just smile at her, compliment something she's wearing, or just pay a little bit of extra attention to her. Say hi to her in front of her friends, if she's comfortable with it.  If you do know each other, then use her name the next time you talk to her. Say, "Hi, Mandi, what's up?" It can make her feel more special- as long as you don't do it all the time. You shouldn't pay too much attention to her. Take it easy, leave her sometimes with others, but make sure she knows you're still her friend, or she'll leave you behind in the dust. Flirt with her a little bit. Just be playful. You can tease her a bit, but some teasing can leave girls- and boys- in tears. Though you don't have to know 100% whether she wants to go out with you or not, it will help to have an idea of whether she likes you before you take the plunge so you have more confidence and don't scare her. It would help to know if she has a crush on someone else or if she's going out with someone else, and to have an idea of what she thinks of you.  If you pass by her, does she blush, look away, or say hi to you? Or does she ignore you completely? If you want to know what she thinks, you can try to ask your friends. Just don't ask her friends or they'll report right back to her and she'll know you like her. If you want to know if she likes you, see how her friends act when you pass by her. Do they giggle, nudge her, or even tease you? If so, then there's a good chance she likes you. You shouldn't just ask the girl out on the spur of the moment, or you won't be prepared and won't know what to say. Though your choices of where to ask can be pretty limited in the 5th grade, your best bets are probably after school, in your neighborhood, or somewhere where you can get her alone without creeping her out. You don't want to isolate her too much since she's probably not used to being alone with guys, but try to do it so her friends aren't spying on you. You can ask her to meet up after school, or just find her after school and talk to her. Just make sure she's not distracted and in a good mood. If you want to ask her out, then you can't just ask her out and then look confused when she does say yes. You have to think of something to do! Maybe you want to go to the carnival together. Maybe you want to go out for a slice of pizza or you know she likes to play video games and you can invite her over. Maybe you want to walk around the mall together or just see a new movie that's playing. The more specific your plan, the more likely she will be to say yes. Saying something like, "I see that (name of movie here) is playing. Do you want to go check it out with me?" will make you sound much more confident than just saying, "Will you go out with me?"
Get to know her a bit first. Hint that you like her. Make sure she's interested. Pick the right time and place. Come up with a date.