NIST has defined some key derivation functions, which can be used to derive new key using one of NIST recommended MAC algorithms, AES-CMAC or HMAC. These functions can meet your needs.
The functions are defined in NIST SP 800-108: Recommendation for Key DerivationUsing Pseudorandom Functions.
Because you intent to use AES Encryption Key for encryption using AES algorithm, you need to pick key derivation mechanism that does not use AES algorithm in ways which may conflict with your use of the key. To do this, you may choose to use the functions with HMAC algorithm, for instance with SHA-256 hash function. (Do not choose AES-CMAC.)
When using construct (Counter Mode KDF, Feedback mode KDF or Double-Pipeline KDF) from NIST SP 800-108, the plaintext can be e.g. Label and the AES encryption key needs to be the KI. For instance:
Use KDF in Counter Mode, with
- h = the length of HMAC key desired
- r = 1
- KI = AES encryption key
- Label = the 10 digit plain text
- Context = empty string or suitable identifier identifying your protocol or key use purpose.
BTW, instead of deriving HMAC key from the AES encryption key, it is more common to use key derivation key to derive all required key material, i.e., to use KDK (Key Derivation Key), which derives enough key material for both the Encryption Key and the HMAC Key. This practice is recommendable because then encryption key is not used for two different purposes: encryption and key derivation. Use of keys for multiple purposes is generally considered back practice as it increases ways possible attacker may try to get information about the key.
I.e. I would recommend you to consider this instead
AES-CTR-KDK(KDK, plaintext-key) = AES-key (first 128-bits) || HMAC-key (last 256-bits).
[These are typical key sizes, customize the key sizes according to your needs.]
Furthermore, when proposing KBKDF (key-based key derivation function) I'm assuming your use of 10 digit plaintext is not used as PIN for authentication purposes. Then be careful, as it might be possible for attacker to brute-force the key space of $10^{10}$.