This is a very easy achievement like the rest of Minecraft's achievements.
Load up a world and make sure cheats are off and the game mode is set on survival, it doesn't matter what difficulty. Find a tree and get all the oak wood logs from it and that should be enough to construct every type of tool. Press the 3 dots at the bottom right side of the screen next to your inventory and go to the crafting table on the left. Make 1 crafting table and 8 sticks, then exit out at the top left and press the crafting table. Make one of each type of these wooden tools:
*Sword
*Pickaxe
*Shovel
*Axe
*Hoe
For me the achievement didn't unlock until I hit save and quit, so do that and check your achievement progress on the main screen.