My T2202A is showing an amount greater than $5000 (it shows $6010.96) how would I file my form? Do I input the full amount or do I just input $5000

You input the full amount as listed on your T2202A and TurboTax will apply the necessary amount of your tuition credits to help reduce your tax payable.  You can claim as many tuition credits as you need to on your own income tax return but you are only able to transfer up to a maximum of $5000.