
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 equation of an ellipse is $\dfrac {x^{2}}{a^{2}} + \dfrac {y^{2}}{b^{2}} = 1 \; (a > b > 0)$, one of its vertices is $M(0,1)$, and its eccentricity $e = \dfrac {\sqrt {6}}{3}$.  
$(1)$ Find the equation of the ellipse;  
$(2)$ Suppose a line $l$ intersects the ellipse at points $A$ and $B$, and the distance from the origin $O$ to line $l$ is $\dfrac {\sqrt {3}}{2}$, find the maximum area of $\triangle AOB$.

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