Store a cell's value to a new row in a specific column every time that cell changes

In my nonworking example I use the cell C5 as the cell to enter a value. What I am trying to do is: Every time a new value is entered into the cell C5, that value should be stored in the column A starting from A1 and onwards. (For example: I enter number 1.205 - it gets stored in A1, then I enter number 1.572 - it gets stored in A2, and so on).

I know that my method is probably far from correct, so any help is appreciated. I have tried a few different ways to achieve this, but I can't get it to work, maximum I have achieved is being able to store up until the 2nd row of column A.

   Private Sub Worksheet_Change(ByVal Target As Range)

    Dim SourceCell As Range
    Dim CheckCell As Range
    Dim I As Integer
    I = 1
    Set SourceCell = Range("C5")
    Set CheckCell = Range("A" & I)

        If IsEmpty(CheckCell) Then
            CheckCell.Value = SourceCell

        ElseIf Not IsEmpty(CheckCell) Then
            I = I + 1
            Set CheckCell = Range("A" & I)
            CheckCell.Value = SourceCell

        End If
    End Sub