Grad or gerade?

In colloquial German, it is common to hear the word grad, which is slang for the adverb/adjective gerade and could easily be confused with the noun Grad. The adverb gerade can be translated as "just," "especially," "exactly," "just now," or even as "directly." The adjective gerade is usually used to describe "even," as in even and odd numbers, and is translated as "level," "direct," "upright," and "ingenuous" as well.

Wir sind ja grad [gerade] erst gekommen.

We indeed only just arrived.

Caption 5, Oktoberfest München - Auf der Wiesn
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However, the neuter noun das Grad is a technical term that refers to measurable "degrees" of temperature or the "degree" of a geometric angle. In non-technical usage, it is a masculine noun (der Grad) and may refer an academic degree.

Es soll bis über zwanzig Grad warm werden.

It should get warm, up to more than twenty degrees.

Caption 16, München - 180. Oktoberfest eröffnet
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Further Learning
Go to Yabla German and search for examples of gerade, grad and Grad as spoken in a real world context.