
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 that $F$ is the right focus of the ellipse $C: \frac {x^{2}}{a^{2}}+ \frac {y^{2}}{b^{2}} = 1$ ($a > b > 0$), and the line $PP'$ passes through the origin $O$ and intersects the ellipse $C$ at points $P$ and $P'$, with $|PF|=1$, $|P'F|=3$, and the eccentricity of the ellipse $C$ is $e = \frac {1}{2}$.
(Ⅰ) Determine the equation of ellipse $C$.
(Ⅱ) If line $l$ passes through the right focus $F$ of the ellipse $C$ and intersects the ellipse at points $A$ and $B$, and the angle $\angle AOB$ is obtuse, find the range of values for the slope $k$ of line $l$.

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