Graduation Day!

Complete the tutorial.
After the initial intro simply follow FU-2's instructions to complete the rather basic tutorial and unlock this achievement. Click on the task list in the top left when requested, then exit, then pick up the Key on the Intel Desk to the left when instructed (click on the Key with the left mouse button and then select the "Interact" option on the Commo Rose).

When FU-2 requests that you combine to Key with the Key Tag, simply click on either the Key or the Key Tag with the left mouse button to pick it up, then move it over to the other item and click with the left mouse button to combine the two items together.

After combining the Key and Tag, both you and FU-2 will move over to a Locker, when instructed click on the Key With Tag in your inventory to pick it up, move it over the Locker and then click with the left mouse button to open the Locker and complete the tutorial and unlock this achievement.

Nosey Parker.

Scout the planet with the scope.
Once you regain control over Jake after completing the tutorial, head back over to the Locker and pick up the Scope, then head back to the opposite end of the ship where you collected the Key during the tutorial. Zoom in on the Intel Desk using the left mouse button and pick up the Rifle Power Cells on the right side of the table.

Power Cells in hand, exit the ship (walk back towards the Locker from the Intel Desk until the bed appears on screen and the door is on the right side of the ship, move the mouse cursor over the door and left click with the mouse when the text "Exit Ship" appears).

After the cut scene, head over to the Tripod in the top left (if you follow the path right, up and then left, it is the tripod at the end of the path) and then use the Scope in your inventory on the Tripod and this achievement will pop.

Rare Find.

Locate cameronium crystals.
Looking through the Scope, your aim is to locate some Cameronium Crystals. To do this zoom out using the mouse wheel and move the cursor southeast until you see a cluster of pink crystals to the right of some bones of a large animal.

Once you locate the crystals, centre and then zoom in with the mouse wheel till this achievement pops and then exit the scope.

Bug Hunt.

Trap a ceratocanthus
After the Rare Find achievement pops speak with FU-2 by left clicking on him and selecting "Talk" on the Commo Rose, and tell him "I found crystals", a conversation will ensue followed by a cut scene.

After the cut scene you are now in control of FU-2 in the area down by the Crystals. First off, head to the left and pick up the Bone on the floor and then head back to the starting point next to the Crystals.

Next head up the path towards the top of the screen past the Strange Plant on the floor and pick up the Skull from off the floor, then head back to the Crystals again and follow the path to the right and enter the Mine.

After the cut scene move to the right where a Box sits upon a wooden platform. Left click on the Box to zoom in on the contents and then pick up the Rope and two sticks of Dynamite. With the contents of the box looted, combine the Bone and Skull in your inventory to make a Trap and then place the Trap on the Strange Plant on the floor in the middle of the cave.

Then use the Rope from your inventory on the Trap and wait. After adding the Rope to the Trap FU-2 will take a step back and a number of bugs will start to make their way towards the Strange Plant, and your Trap. As soon as one of the bugs moves under the Trap interact with the Rope to trap a bug and earn this achievement.

Melting Moment.

Extract crystals from the planet's surface.
Interact with the Trap to collect the Bug from within and then exit the Mine (you have to move the mouse cursor over what looks like a set of three stone steps in the top right and then interact with them to exit).

Once outside, move over to the cluster of Crystals and then combine a stick of Dynamite with the Bug in your inventory to create a Dyno-bug, then use the Lighter in your inventory with the Dyno-bug, a cut scene follows and this achievement pops.

Action Jackson.

Arm Jake with a weapon.
After the cut scene, pick up the Melted Cameronium Crystal and yet another cut scene plays out, after which you are back in control of Jake inside the ship. Head to the back of the ship (where the Intel Desk is located) and pick up the Reaver Plasma Rifle located on the left wall, at the top and this achievement will pop.

Bulls-Eye!

Take out the alien queen.
Next, combine the Rifle Power Cells with the Reaver Plasma Rifle, and then combine the Scope with the Rifle to create the Loaded Reaver Plasma Rifle With Scope and then exit the ship. Outside head back over to the Tripod in the top left (the one we used the Scope with earlier) and use the Loaded Reaver Plasma Rifle With Scope on the Tripod.

The aim of the game here is to kill the white flying creature, which is the Queen, to do this you must kill 5 black flying creatures to make the Queen appear and then shoot her. When you hit her, she will disappear and you must kill another 5 black creatures to lure her out once more, rinse and repeat until the Queen is dead.

Please note I am uncertain about this, but during my playthrough I did notice the black flying creatures trying to fly off with FU-2, I suppose it is possible to fail this part if they do indeed fly off with him, like I said, I'm not sure about this, but, if you do see some of the black creatures trying to fly away with FU-2, it is perhaps advisable to shoot them so they drop him back to the ground.

Save the bait.

Save FU-2 from the Galactic Spine Worm.
After saving FU-2 from the flying creatures, head back to the Ship, go inside and interact with the Cockpit to head off and find FU-2. After a cut scene you are once again in combat, this time around, flying the Ship and trying to save FU-2 from a giant worm.

The aim here is to kill the worm before the worm kills FU-2, you can only damage the worm when it is above ground and every time the worm goes underground FU-2 takes a little damage. Don't worry, you can't harm FU-2 with your ship's weapons. Assuming you kill the worm before it kills FU-2, this achievement is yours.