WPF: Custom control in DataGridTemplateColumn using a binding property

Question

I have a datagrid who's DataContext is bound to a list of a custom class. I want to add a DataGridTemplateColumn and bind a property in the custom column to the property in the custom class that represents that column.

'Minutes' is an int property in my custom class. And MinuteSlider is a custom UserControl that consist of a slider and a textbox. My goal is to bind the value of the slider in MinuteSlider to the 'Minutes' property that is bound to every row.

My DataGrid is below:

 <Grid>
    <dg:DataGrid Name="agendaDataGrid" Background="Transparent" 
                 ItemsSource="{Binding}">
        <dg:DataGrid.Columns>
            <dg:DataGridTextColumn Binding="{Binding Index}"/>
            <dg:DataGridTextColumn Binding="{Binding Question}"/>
            <dg:DataGridTemplateColumn>
                <dg:DataGridTemplateColumn.CellTemplate>
                    <DataTemplate DataType="{x:Type local:MinuteSlider}">
                        <local:MinuteSlider x:Name="minutes" MinuteValue="{Binding Path=Minutes}"/>
                    </DataTemplate>
                </dg:DataGridTemplateColumn.CellTemplate>
            </dg:DataGridTemplateColumn>
        </dg:DataGrid.Columns>
    </dg:DataGrid>