Make towards
Definition 1 of 1
Pro Tip 1/3Intention Hint
Using 'make towards' suggests a deliberate or intended move in a certain direction. 
Noticing the sky darkening, they made towards the nearest shelter.
Pro Tip 2/3Subtle Approach
'Make towards' can imply a more subtle or less direct approach than simply 'going' somewhere. 
She made towards the conversation circle, hoping to join in discreetly.
Pro Tip 3/3Implies Destination
'Make towards' often implies there is a specific destination or target in mind. 
After the toast, everyone made towards the buffet table.