Dd is about to turn 9 next month and she has been doing all of those for a few years, except use the oven. She doesn't use the oven still because she's not tall enough to, with the door open, lean in and pull something out without losing her balance. It's not about ability, it's about physical constraints.
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I taught her knife skills starting at about 4. She could clean and peel veg at that time. By the time she was 6, she was using the cutting board and my biggest chef's knives slowly, but safely. She's faster now and is very, very helpful, actually. She has better knife skills than my mother at this point (which really isn't saying much, but to just say that she has better knife skills than an adult that doesn't cook much).Â
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She wasn't tall enough to use the stovetop safely until this past year. She did some stirring with assistance until then, but I don't think it's safe to be at the stove standing or sitting on something - we're very safety conscious. She's tall enough now to safely cook - brown meat, make eggs, saute onions, etc.Â
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We have a toaster oven that she's used for a couple of years.Â
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Hand mixer... years. She has good coordination and that has been something she's been able to do for a long, long while.Â
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I also let her use most other kitchen utensils. Everything has been taught to be used safely and she's a "rule follower". She's been in the kitchen with me since she was born, really. I am a good cook and love to be in the kitchen, so it was a natural progression over the years from having her tear lettuce leafs and break eggs to actually making entire meals all on her own.
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One thing I don't let her do still... again, because of height, not ability, is take boiling water off of the stove.