Thanks to Marcelo Bayma for sharing this!

Begin with japanese sound. Each symbol has an equivalent sound in japanese, for example, "yama".

Told her you are showing japanese words. Show the cards and read the word in japanese. In this stage there's no problem about multiple meanings, ok?

A word is a body & soul entity and it is necessary to learn it in a whole. Imagine when teaching italian: first you read in the original sound. When you have finished the cards, then you can try a 2nd depth.

In this 2nd stage (when the level of knowledge about the same theme became strong) you can told her you're explaining the japanese words. Show the cards and tell, for example, "yama" is mountain. In the case
of month/moon/Monday you can choice the most common use (I think it's month), but it's very fun to tell one more meaning: you show her the card and say: "Tsuki" is Month, and also Moon.

I think an amazing thing is leave this 2 meaning words to the end of sessions, and huge your child, making clear how funny is a word has 2 meanings and enable our choise of which one is better.

I think it's not necessary to teach all meanings of the same word, let her find by herself.

Note the same symbol has the same meaning, but different sounds in japanese, chinese and korean. Later you can teach the chinese and korens sounds (then it is different words, I think, with similar meanings, but quite different).

Or if you want to teach only japanese, in the 3rd level of depth you can combine words making phrases or new words, for example, "Fujiyama" the famous mountain near Tokyo. In this level the meaning Monday of "Tsuki" became clear, because in several languages this day of the week is the day of the moon: lunes (in spanish), lundi (in french), lunedì (in italian). In chinese it's different: Monday is "Xin¹qi¹yi¹" = week one (the 1st day of the week); Sunday is "xin¹qi¹tian¹" = week day ("the" day of the week). Simple, isn't?

Good work and enjoy it!