Ok... I couldn't find the images that I wanted to use to discuss aperture so I have to go to plan B.
I am using different photos but it should show you enough to explain what I am trying to get across.
Aperture controls two things in your photos. It is one of the settings that controls the amount of light that hits the sensor, but more importantly it controls your depth-of-field (DOF). Your DOF dictates how much of the image is in focus. In photography there is only one real true plane of focus. Anything in that plane is in razor sharp focus and everything out of that plane is either a complete blur or in decent focus. This of course depends on your DOF.
So what is this plane that I am talking about? For sake of this discussion lets say you're photographing something that is 2 foot away from you. IF you set your focus to razor sharp at 2 foot then everything exactly two foot away from you will be in razor sharp focus. However area's before the two foot mark and areas after the two foot mark will have less focus depending on your aperture setting.
Now time for the technical info on aperture.
Aperture is denoted in f stops. When written you'll see it denoted like f/4, f/5.6, etc.
The lower the number f/2.8 the more light that will hit the sensor. This is because the opening in the lens is larger. So the smaller the number the bigger the opening in the lens to let light thru.
And in reverse... the higher the number (f/32) the less light that hits the sensor. Now the opening is much smaller in the lens.
Now you can see why you have to change your shutter speed in correlation to your aperture setting. If your aperture is set at f/4 then you're letting in a lot more light and you need a faster shutter speed than if you were at f/32 and using a slow shutter speed.
With me so far?
Lets talk about how those settings influence the DOF of your image. First I am going to start off with images I took at the Memphis Botanic Gardens.
In this image I wanted to get the ladybug in focus but have a nice blurred out background. To achieve that I had to have a lower f/stop. This is sometimes also refereed to as 'opening up the lens'. This is because at the lower numbers you have a larger hole for light to go thru.
In the above image I had the following settings. Shutter 1/160, aperture f/3.2, ISO 400
As you an see... the background is pretty well blurred thus focusing your attention on the ladybug. The reason for this is the f/3.2 aperture. The way I like to think about it is this. The larger the hole in the aperture, the more light that gets in. The more light that gets in... the less focused the light. Now all you have to remember is that larger holes = smaller numbers.
Now going back to the image above. The ladybug is in good focus but the rose bud to the left is not. It would have been an even better image if that rosebud was in focus. The only way to achieve that is to change your DOF. IF I would have 'stopped the lens down' a bit (larger f/stop number} then I could have gotten both the ladybug and rosebud in focus. This is because you're creating a smaller hole in the lens and thus focusing the light a little better which creates a deeper DOF.
Here is another image where I wanted a blurred background.
In this image I had the following settings: Shutter 1/1250, Aperture f/4, ISO 400
Now you may be asking... why did I go from shutter 1/160 to 1/1250 when I barely moved the f/stop setting. The simple answer is.... sunshine. More light was getting to the sensor so I had to change the settings accordingly. In this case.. I knew what I wanted the DOF to be so I had to change the shutter to compensate so I could get the correct exposure.
In the yellow rose image you'll notice that the front rose is in good focus and there is some focus to the back rose. It is blurred, but it's not just a yellow blob. There is a little bit of definition. Then of course the background shows no details at all. This puts the roses front and center in the image and there is no distractions behind them.
Now I'd like to take the blurred background to the extreme. Both of the following images were shot in my gardens. The background to the images is the grass in the yard... and in the case of the second photo, the grass and the woods. Both images were shot with an aperture of f/2.8
Now lets head the other direction. Let's say you want a LOT of the image in focus. To do this you have to stop down your lens (larger f/stop numbers). By stopping down your lens you create a smaller hole in the lens and thus gives you a more focused light pattern. (kinda like comparing a flood light to a spot light).
This image is of the flowers on my plum tree in April.
My goal was to get the closest two flowers in really good focus and then to have the ones in the background recognizable. In order to ensure I got the closest two in focus I stopped down my lens pretty good. The settings for this image are shutter 1/125, aperture f/16, ISO 400
The outcome was exactly what I was after.
Now if you'll recall the yellow rose image above. The front flower was in focus, but the one in the back was not. That is because I was shooting with an Aperture of f/4. I solved that problem in the next image.
In this image I wanted ALL the roses in focus. I knew the only way I could achieve that is to really stop down my lens. I took it all they way. The settings on this set of roses is: shutter 1/25, aperture f/32, ISO 400.
You'll notice that I had to slow the shutter WAY down. At 1/25 even a slight breeze would have knocked the image out of focus. It is times like this when you need to be utilizing a tripod. Because I had my lens stopped all the way down (f/32) I was able to get he whole clump of roses in focus. There is however a small trick to it. Focus in the middle area of where you're shooting. This way the area in front of your focus plane will be in focus along with the area behind your focus plane. In this image I most likely focused on the back side of the middle rose and let the DOF do the rest.
If you have any questions, or If I confused you... please ask. I want you to get the best images possible and I'm willing to discuss photography as long as it takes to get you there.