[From a chinukh perspective, I feel it's important for a child to understand the difference between p'shat and d'rash from the beginning. Starting in kitah bet, she will study each of the parshiyot in Chumash. It'll be a significant disappointment for the students when they realize that some of those "fun" stories their kitah alef teachers told them are not even in the Torah, but were creative stretches done by the Rabbis. It's particularly problematic for the "drier" parshiyot in Vayikra and Bamidbar. A veteran kitah alef teacher I read about revealed the "disservice" she did with her students by teaching midrashim and since then, sticks to p'shat.]
This was particularly fun to do for Toldot (yes, I'm a week late posting it but oh, well!). CYM started to tell me about the part in the parsha when Yaakov left to study Torah with Shem and Eber and that was why G-d selected him for the brakhah. I asked, "How can Yaakov study the Torah if he's already in it?" She answered, "Oh, Morah xxxx never told us that." I continued, "So ask her about it." This past week, for Va'yetzei, I guessed she asked her morah the question. Apparently, her teacher said, "I don't know" and pushed on. (Am Kshe Oref's wife joked that a card is being prepared on my daughter and at some point, she'll get kicked out of school for asking the "wrong" questions. As AKO's wife also pointed out, the morah is not an "educated" da'ati/l'umi, but an Israeli who allegedly borders on being chillunit.)