What are the accents for "頭高", "中高", "尾高", and "平板"?

The 4 pitch accent patterns are often spelled online as follows:

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1. 頭高 (atamadaka)
2. 中高 (nakadaka)
3. 尾高 (odaka)
4. 平板 (heiban)

However, when I actually look these words up in Japanese dictionaries (written exactly as above), I can't find them. Instead I can only find them with an "型" added at the end:

1. 頭高型 (atamadakagata)
2. 中高型 (nakadakagata)
3. 尾高型 (odakagata)
4. 平板型 (heibangata)

Why is this? Are the first set of terms slang? If so, I've been trying to determine their pitch accent, and since they aren't in any dictionaries, I'm unable to determine how they're supposed to be pronounced.