
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
In the plane rectangular coordinate system $xOy$, a polar coordinate system is established with the coordinate origin as the pole and the positive semi-axis of the $x$-axis as the polar axis. Given the curves $C_1$: $ρ=4cosθ$, $C_2$: $ρ=2sinθ$, let line $C_3$: $θ=α$ intersect with $C_1$ at points $O$, $A$, and line $C_4$: $θ=α+ \frac {π}{2}$ intersect with $C_2$ at points $O$, $B$.
(Ⅰ) Find the ordinary equation and parametric equation of curve $C_1$;
(Ⅱ) When $α∈[ \frac {π}{6}, \frac {π}{3}]$, find the range of values for the area of $△OAB$.

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