
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given the functions $\overrightarrow {a}$=（sinx，cosx）, $\overrightarrow {b}$=（sinx，$\sqrt {3}$sinx）, and f(x) = $\overrightarrow {a}$$\cdot \overrightarrow {b}$:

(I) Find the smallest positive period of f(x);
(II) If the maximum value of f(x) in the interval [$- \frac {π}{3}$, m] is $\frac {3}{2}$, find the smallest value of m.

Present the answer in LaTex format: \boxed{Your answer}
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