
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 function $f(x)=2 \sqrt {3}\sin ^{2}x+\sin 2x$.

(Ⅰ) Find the smallest positive period of $f(x)$;

(Ⅱ) Find the intervals of monotonic increase for $f(x)$;

(Ⅲ) Stretch the x-coordinates of all points on the graph of $y=f(x)$ to twice their original length (keeping the y-coordinates unchanged), then shift the resulting graph to the left by $\dfrac {π}{3}$ units to obtain the graph of the function $y=g(x)$. Calculate the value of $g( \dfrac {π}{6})$.

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